Rod Bundle Heat Transfer Facility – Steady-State Steam Cooling Experiments

NUREG/CR-7152
Rod Bundle Heat Transfer
Facility – Steady-State
Steam Cooling Experiments
Office of Nuclear Regulatory Research
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NUREG/CR-7152
Rod Bundle Heat Transfer
Facility – Steady-State Steam
Cooling Experiments
Manuscript Completed: August 2011
Date Published: May 2014
Prepared by:
L. E. Hochreiter, Principal Investigator
Department of Mechanical and Nuclear Engineering
Fan-Bill Cheung, Co-Principal Investigator
Department of Mechanical and Nuclear Engineering
T. F. Lin, Co-Principal Investigator
Applied Research Laboratory
D. M. McLaughlin, Jr.
J. P. Spring
P. M. Kutzler
S. Ergun
The Pennsylvania State University
University Park, Pennsylvania 16802
K. Tien, NRC Project Manager
NRC Job Code N6154
Office of Nuclear Regulatory Research
ABSTRACT
As part of the Nuclear Regulatory Commission safety analysis computer code development
efforts, the Rod Bundle Heat Transfer Test (RBHT) facility has been designed and constructed at
The Pennsylvania State University. The test series described in this report is the steam cooling
tests. A total of 35 steady-state steam cooling experiments was performed in the RBHT. The
purpose of the experiments was to examine the steady-state convective heat transfer from the
heater rods to single-phase superheated steam in prototypical rod bundle geometry for computer
code model development and validation.
The Rod Bundle Heat Transfer Facility has a full length, 3.66 m (12 ft), 7 by 7 rod array with
typical Pressurized Water Reactor rod diameters of 9.49 mm (0.374 in) and a rod pitch of 12.59
mm (0.496 in). The heater rods had a top skewed power shape with a peak to average power of
1.5 at the 2.74 m (9 ft) elevation. The RBHT facility has been designed using prototypical mixing
vane spacer grids.
The bundle inlet steam temperature was held at saturation for the given test pressure and the
inlet Reynolds number ranged from 1,400 to 30,000 with most of the experiments at the lower
Reynolds number range. The facility was instrumented to measure the quantities necessary for
determining local convective heat transfer coefficients that reflect the heat transfer enhancement
caused by mixing vane grids. The measured quantities include vapor temperatures at
sub-channel centerlines, mixing vane grid temperatures, a detailed axial pressure drop along the
bundle length, absolute pressure in the upper plenum, rod temperatures upstream and
downstream of mixing vane grids, and vapor flow rates in and out of the bundle.
iii
FOREWORD
A loss-of-coolant accident (LOCA) is one of the primary postulated accidents that must be
considered in the design of nuclear power plants. The plant response to such an accident,
including the performance of safety systems that are designed to mitigate the accident, is mainly
analyzed using computer codes. For effective analyses of accidents and operational transients,
the U.S. Nuclear Regulatory Commission (NRC) consolidated earlier thermal-hydraulics analysis
codes into one called TRACE.
The NRC is now assessing and improving the TRACE code as weaknesses are identified.
One such weakness is inaccurate prediction of peak clad temperatures of fuel rods, particularly
in the later stage of a large-break (LB)LOCA, called the reflood phase. Specifically, the reflood
models currently employed in the TRACE code are not sufficiently accurate and, consequently,
improved models must be developed to provide necessary support for risk-informed regulations.
Accurate prediction of the consequences of an LBLOCA is important because this is one of
the limiting postulated accidents used to determine whether plant design parameters (such as
power densities, equipment sizes, etc.) have been appropriately selected to ensure safety.
As the NRC places increasing emphasis on risk-formed regulations, the agency needs a more
accurate and reliable computer code to obtain realistic (rather than conservative) predictions.
To develop better computer code models for an LBLOCA, we need detailed, fundamental data
that show heat, mass, and momentum exchanges. Some of these detailed data have only recently
become possible because of recent advances in instrumentation technology for two-phase flow
measurements. Consequently, to acquire detailed, fundamental data for use in developing
models for an LBLOCA, the NRC sponsored the construction of a rod bundle heat transfer
(RBHT) test facility and completion of four test series; reflood tests, liquid-gas interfacial drag
tests, steam cooling tests without liquid droplet injection, and steam cooling tests with liquid
droplet injection.
This report presents the results of steam cooling tests without liquid droplet injections. The data
from these tests will be used to develop and assess a steam cooling model which is a
component of a LOCA model for the TRACE code. The results of other test series will be
reported in separate reports.
With improved data and code models for an LBLOCA, we can more accurately predict
the consequences of LBLOCA accidents and provide better technical bases for regulations
associated with such accidents. As a result, this study will help to achieve the NRC’s strategic
performance goals of making the agency’s regulations more effective, efficient, and realistic.
v
CONTENTS
ABSTRACT ................................................................................................................................... iii FOREWORD .................................................................................................................................. v CONTENTS .................................................................................................................................. vii FIGURES ....................................................................................................................................... ix TABLES ........................................................................................................................................ xi EXECUTIVE SUMMARY ......................................................................................................... xiii ABBREVIATIONS ...................................................................................................................... xv 1. INTRODUCTION .................................................................................................................. 1 2. TEST FACILITY DESCRIPTION ......................................................................................... 3 3. CALCULATION METHODS .............................................................................................. 11 3.1
Heater Rod Outside Wall Temperature and Heat Flux .................................................. 11 3.1.1
Mathematical Model ............................................................................................... 11 3.1.2
Structure of the Source Program DATARH.F ..................................................... 16 3.1.3
RBHT Rod Geometry and Materials ...................................................................... 18 3.1.4
Required Input Files................................................................................................ 19 3.1.5
Calculation of the Power Factor at Each Thermocouple Location ......................... 20 3.2.
Subchannel Mean Bulk Fluid Temperature .................................................................. 29 3.3.
Subchannel Reynolds Number ...................................................................................... 32 3.4.
Heat Transfer Coefficient and Nusselt Number............................................................ 33 3.5.
Mixing Vane Grid Loss Coefficient ............................................................................. 33 3.5.1
Single-Phase Friction Factor ................................................................................... 35 3.5.2
Grid Loss Coefficient Results ................................................................................. 38 4. SUMMARY .......................................................................................................................... 41 5. REFERENCES...................................................................................................................... 43 Appendix A. Heat Transfer Reduced Data ............................................................................. A-1 Appendix B. Single Point Uncertainty Analysis ..................................................................... B-1 B.1. Heat Transfer Coefficient ............................................................................................. B-1 B.2. Grid Loss Coefficient ................................................................................................... B-9 vii
FIGURES
Figure 2-1
Figure 2-2
Figure 2-3
Figure 2-4
Figure 2-5
Figure 2-6
Figure 3-1
Figure 3-2
Figure 3-3
Figure 3-4
Figure 3-5
Figure 3-6
Figure 3-7
Figure 3-8
Figure 3-9
Figure 3-10
Figure 3-11
Figure A-1
RBHT Test Facility Schematic…............................................................................3
RBHT Instrumentation Schematic...........................................................................4
Rod Bundle Array....................................................................................................6
Power Profile for RBHT Rod Bundle .....................................................................6
Mixing Vane Grid....................................................................................................7
Traversing Steam Probe Rake..................................................................................7
Geometry, Materials and Dimensions of RBHT Heater Rod.…………………...19
RBHT-Test Facility, Heater Rod Locations (Looking down from Top) ………. 21
Axial Power Ratio for Rod F4 (Stern Heater Number 2) ……………………… 23
Power Factor as a Function of Length (beginning of heated length to PCT
location) ……………………………..…………………………………………. 24
Power Factor as Function of Length (from PCT location to the end of
Heater length) ………………………………………………………………...... 24
Variation of the Correlation Factor with the Reynolds Number ………………. 31
Subchannel Center Vapor Temperature .............................................................. 32
Friction Factor Comparison (Full Range) ………………………………………36
Friction Factor Comparison (Zoomed in) ………………………………………36
Calculated Grid Loss Coefficients (Full Range) ……………………………..... 39
Calculated Grid Loss Coefficients (Zoomed in) ……………………………..... 39
Heater Rod and Subchannel Identification Diagram ………………………… A-2
ix
TABLES
Table 2-1
Table 3-1
Table 3-2
Table 3-3
Table 3-4
Table 3-5
Test Matrix Summary of as Designed Boundary Conditions …………………….9
Heater Number 1 …………………………………………………………….......21
Sample Power Factor Calculation for One Heater Rod …………………………23
Axial Power Factors for the RBHT Heater Rods ………………………………..25
Sample Input File: in2.dat …………………………………………………….. ..27
Calculated Grid Loss Coefficients …………………………………………….. .38
xi
EXECUTIVE SUMMARY
A series of steady-state, low to intermediate Reynolds number steam cooling experiments have
been performed in the Nuclear Regulatory Commission/Penn State University Rod Bundle Heat
Transfer (RBHT) Test Facility. As part of the Nuclear Regulatory Commission safety analysis
computer code development efforts, the Rod Bundle Heat Transfer test facility has been
designed and constructed at The Pennsylvania State University. The Rod Bundle Heat
Transfer (RBHT) Facility is a full length simulation of a portion of a Pressurized Water Reactor
(PWR) fuel assembly. The bundle is a 7 by 7 rod array with four unheated corner rods and 45
heated electrical rod which simulate a 17 by 17 PWR fuel assembly. The rod Bundle Heat
Transfer Facility is full length, 3.66 m (12 ft), with typical PWR rod diameters of 9.49 mm (0.374
in) and a rod pitch of 12.59 mm (0.496 in). The heater rods had a top skewed power shape with a
peak to average power of 1.5 at the 2.74 m (9 ft) elevation. The experiments were performed
using saturated to slightly superheated steam at the bundle inlet which then became
superheated along the bundle length. The ranges of conditions for the experiments were
pressures from 137.9 to 413.7 kpa (20 to 60 psia), steam inlet Reynolds numbers from 1400 to
30,000. Peak heater rod temperatures varied approximately from 400 to 650 degrees C (750 to
1200 degrees F), and bundle powers from 10 kw to 140 kw. Typical PWR mixing vane spacer
grids were simulated in the RBHT bundle.
There were approximately 500 channels of transient data recorded for each test including the
bundle power, heater rod temperatures, upper plenum pressure, inlet steam flow rate,
superheated vapor temperatures in the bundle, spacer grid temperatures, and the detailed axial
bundle pressure drop. There were a total of 12 experiments that were performed and reported to
the Nuclear Regulatory Commission. There are 35 data sets from these experiments were
qualified and submitted to the Nuclear Regulatory Commission data bank for analysis and code
validation purposes.
The steam cooling data was reduced to calculate the convective heat transfer coefficient for the
instrumented heater rods. To obtain an expression for the sub-channel bulk fluid temperature,
the steam probe sub-channel measurements at the center of the sub-channel were analyzed
using an expression that was derived based on the heat/momentum transfer analogy approach.
Using this methodology, the vapor temperature point measurements were used to calculate the
bulk sub-channel vapor temperature.
The local heat transfer coefficients and Nusselt number values were calculated axially along the
rod bundle. The increased heat transfer effects downstream of the mixing vane spacer grids
used in the RBHT was clearly observed from the data. The fully-developed heat transfer data
was compared to several single phase heat transfer correlations and best correlation that
represented the RBHT data was recommended.
The measured axial pressure drop data was also analyzed to calculate the mixing vane grid loss
coefficient as a function of Reynolds number.
xiii
ABBREVIATIONS
ACRONYMS:
LOCA - Loss of Coolant Accident
NRC - Nuclear Regulatory Commission
RBHT - Rod Bundle Heat Transfer
LMFBR - Liquid Metal Fast Breeder Reactor
GREEK SYMBOLS:
∆ - difference
μ - viscosity
v - specific volume
ρ - density
υ - kinematic viscosity
α - thermal diffusivity
ε - spacer grid blockage
- mixing vane angle
SYMBOLS:
A - area
BB - general constant for general void fractoin correlation
c - specific heat
Dh - hydraulic diameter
De - hydraulic equivalent diameter
F - correlation factor for bulk mean temperature
f - friction factor
g - acceleration due to gravity
gc - gravitational constant
h - heat transfer coefficient
k - thermal conductivity
xv
1.
INTRODUCTION
The Pennsylvania State University and United States Nuclear Regulatory Commission (NRC)
have designed and built a Rod Bundle Heat Transfer (RBHT) facility to investigate the thermal
hydraulic behavior of a nuclear fuel assembly. [1] The goal was to obtain heat transfer and
pressure drop data during steady state superheated steam flow, using an electrically heated rod
bundle. The experiments will provide insight into the physical phenomena occurring in a
nuclear fuel assembly during a postulated loss-of-coolant-accident (LOCA).
Best estimate thermal hydraulic safety codes are currently used to evaluate accident scenarios
and predict the behavior of the reactor core. [2,3] The codes in use have uncertainties and
conservatism and may not accurately represent the thermal hydraulic phenomena during a
postulated LOCA. Improved experimental data from the RBHT facility will help reduce these
uncertainties and improve the accuracy of the computer codes and models. Therefore, the
experiments performed in the RBHT facility were specifically designed for model development
and computer code validation.
Steady state steam cooling experiments have been performed in the RBHT facility to obtain
single-phase heat transfer coefficients within the rod bundle that reflect the heat transfer
enhancement caused by mixing vane grids. Mixing vane grids improve heat transfer by
providing subchannel blockage, which creates additional turbulence, flow separation, and mixing.
The RBHT steam cooling experiments were performed at various powers, pressures, and a wide
range inlet Reynolds numbers. The measured quantities include vapor temperatures at
subchannel centerlines, mixing vane grid temperatures, a detailed axial pressure drop along the
bundle length, absolute pressure in the upper plenum, rod temperatures upstream and
downstream of mixing vane grids, and vapor flow rates in and out of the bundle. Inlet and outlet
conditions as well as fluid and rod temperatures were monitored during the experiments to
ensure accurate quasi-steady state data was collected.
The data was reduced and heat transfer coefficients were calculated on a subchannel basis at
heater rod thermocouple locations within the inner 5x5 bundle. The heat transfer coefficient is a
function of the subchannel mean bulk fluid temperature, heater rod outside wall temperature, and
surface heat flux.
The mean bulk temperature could not be measured directly. Thus, in order
to calculate the local heat transfer coefficient, a method based upon the analogy of momentum
and heat transfer was developed to correlate the local mean bulk temperature with respect to the
local subchannel centerline temperature, which could be measured.
Mixing vane grid loss coefficients were calculated using the detailed axial pressure drop data.
Pressure drop measurements were taken across bare bundle spans and spans which contained
one or more mixing vane grids. Pressure drop data was only used from the beginning of
experiments because it was seen that water was evaporating out of the pressure cell reference
legs as the test progressed. This does not invalidate any steady-state windows achieved at
least in terms of heat transfer, it does however limit the pressure drop data available for
calculating mixing vane loss coefficients.
This report provides a summary of the data obtained, the data reduction methods and
assumptions used in reducing the data as well as the uncertainty in the experimental data and
the derived quantities from the data. A full set of the experimental data has been transmitted to
the NRC data bank.
1
2.
TEST FACILITY DESCRIPTION
The RBHT facility was developed by PSU and the NRC. The facility was designed to conduct
systematic separate effects tests under well-controlled laboratory conditions in order to generate
fundamental rod bundle heat transfer data including: single-phase steam cooling tests,
two-phase level swell, steam flow tests with and without droplet injection, inverted annular film
boiling tests, and dispersed flow film boiling reflood heat transfer tests. The facility is capable of
operating in steady-state forced and variable reflood modes covering a wide range of flows and
heat transfer conditions at pressures from 1.0 to 4.02 bars (20 to 60 psia).
Figure 2-1: RBHT Test Facility Schematic.
The test facility, as shown in Figure 2-1 and Figure 2-2, is a once-through flow facility in which
either water or steam can enter the lower plenum and flow upward through the rod bundle. The
lower plenum is attached to the bottom of the flow housing and is used as a reservoir for the
coolant prior to injection into the rod bundle during reflood. The upper plenum serves as the
first stage for phase separation and liquid collection of the two-phase effluent exiting the rod
bundle. The liquid phase separates from the flow due to the sudden expansion from the bundle
to the larger plenum flow area.
3
Figure 2-2: Test Facility Schematic with Instrumentation Locations.
Figure 2-2: Test Facility Schematic with Instrumentation Locations
4
The facility has a large and small liquid carryover tank provided to collect the liquid carryover in
the fluid flow in order to measure the amount of entrainment in the flow. The de-entrained liquid
from the upper plenum drains into the top of a 25.6 mm tube, which extends inside a small
carryover tank to detect and measure the carryover liquid. This tank collects and measures the
amount of liquid overflow from the smaller carryover tank. A centrifugal two-phase separator is
located downstream of the upper plenum also acts to separate out the remaining liquid flow from
the vapor flow such that the vortex meter at the exit of the steam pipe will measure single phase
vapor flow. There is a third liquid collection tank on the phase separator, which measures the
separated liquid.
A pressure-damping tank located before the vortex flow meter and pressure control valve acts to
damp out any pressure oscillations to maintain tight pressure control on the facility. Separating
the exit flows from the bundle provides a means of calculating a transient mass balance as well
as an energy balance on the facility.
The RBHT facility consists of a 7x7 bundle with 45 heated full-length electrical heater rods, which
simulates a portion of a 17x17 similar fuel rod assembly, as shown in Figure 2-3. The letters in
the figure indicate whether a heater rod is instrumented (I), not instrumented (U), or a support rod
(S). The electrically powered heater rods have a diameter of 9.49 mm (0.374 in) and a square
pitch of 12.59 mm (0.496 in). There are four unheated Inconel support tubes, one in each
corner, which provide structural support for the bundle. Mixing vane grid instrumentation is
routed out of the rod bundle via the support rods. The heater rods have a 3.66 m (144 in)
heated length with a skewed axial power profile with the peak power located at the 2.74 m (108
in) elevation, as seen in Figure 2-4.
The spacer grids, which are used in the bundle have mixing vanes, as seen in Figure 2-5, which
improves heat transfer downstream of the grids. These grids have high blockage, the projected
area of the mixing vanes on the top plane of the grid is 39 percent of the total flow area such that
the flow is accelerated through the grids and entrained droplets can be shattered.
In the RBHT facility, subchannel instrumentation is used to measure the local vapor temperature
at subchannel centers. Measurements of the subchannel vapor temperature were made using
two types of miniature thermocouple probes. The first type of miniature thermocouple used is
suspended from the mixing vane grids and faces into the flow. The thermocouples have a 0.38
mm diameter and are supported by 2.44 mm long Inconel tubes which are tack welded to the
mixing vane grids. The thermocouple leads are routed along the grid straps to the corner
support tubes and out of the bundle.
The same type of thermocouples are spot welded to the mixing vane grid walls which measure
the grid temperature to determine if the grid is dry or quenched. These thermocouple leads are
also routed to the corner support tubes and out of the bundle.
5
Figure 2-3: Rod Bundle Array.
Heater Rod Axial P ow er Profile
1.5
P ower Ratio
1.3
1.1
0.9
0.7
0.5
0
0 .7 32
1.464
2.196
2 .92 8
Length (m)
Figure 2-4: Power Profile for RBHT Rod Bundle.
6
3.66
Figure 2-5: Mixing Vane Grid.
The second subchannel vapor measurement is made using traversing thermocouple rakes which
consist of three 0.38 mm diameter thermocouples attached to a thin piece of Inconel shim that is
welded to a small tube that can be moved to different radial positions within the bundle, as shown
in Figure 2-6. The thermocouples are located one rod pitch (12.6 mm) apart on the Inconel
shim and can measure vapor temperatures at three different subchannel centers within the
bundle. There are 13 traversing thermocouple rakes at different axial positions, most of which
are powered by a stepping motor that allows the rake to traverse across a subchannel centerline.
Figure 2-6: Traversing Steam Probe Rake.
7
A boiler with a capacity of 2613 kg per hour at 10.3 bars provides steam for the experiments.
The boiler is connected to the lower plenum by means of stainless steel piping equipped with a
Vortex flow meter to measure steam flows. The piping also has fluid and wall thermocouples, a
V-ball control valve, and a quick acting solenoid valve. Electrical heaters on the outside of the
flow housing perform preheating of the facility test components prior to each experiment.
The test facility instrumentation is designed to measure temperatures, power, flows, liquid levels,
pressures, void fractions, droplet sizes, droplet distribution, and droplet velocities. There are
approximately 500 channels of instrumentation for the facility. Overall and transient mass and
energy balances, mass inventories, carryover liquid, and steam flows can be calculated.
Steady state steam cooling experiments were performed with steam at superheated conditions.
Steam entered the rod bundle through the lower plenum, passed through the heater rods, and
exited via the upper plenum to the exhaust piping. The boiler steam injection rate was
computer controlled and was verified for the correct pressure and temperature. The steam
injection line was preheated to avoid any condensation. After approximately fifteen minutes of
preheating the injection line, the inlet valve to the bundle was opened slightly to preheat the
bundle and exit lines. The bypass lines around the rod bundle were closed during this
procedure. The lower plenum, carryover tanks, and steam separator tanks were also drained at
this time. In order to account for any carryover from the boiler, the tanks had to be drained to
accurately measure the liquid. Once the bundle was preheated to saturated vapor conditions,
the bundle power was set at the desired power level. As the fluid flow stabilized for each matrix
test condition, steady-state flow conditions were approached. Data was recorded for the entire
length of the test duration, which included warm-up through shutdown.
Table 2-1 below shows the RBHT steam cooling test matrix which indicates the actual boundary
conditions of these 21 unique tests. The test matrix was made prior to conducting the steam
cooling experiments and was used as a guide to ensure the experiments would cover the full
range of conditions shown in the test matrix. Note that the real conditions achieved during the
experiments are close to the as designed conditions however, they do not match exactly and the
real test conditions should and are used in this report for any data manipulation. The real
conditions achieved for each valid steady-state window can be found on the summary and
comment sheets in Appendix A.
8
Table 2-1: Test Matrix Summary of as Designed Boundary Conditions
NRC Matrix
Test Number
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
Upper Plenum
Pressure
[kPa (psia)]
275.8 (40)
275.8 (40)
275.8 (40)
275.8 (40)
275.8 (40)
275.8 (40)
275.8 (40)
275.8 (40)
275.8 (40)
137.9 (20)
137.9 (20)
137.9 (20)
413.7 (60)
413.7 (60)
413.7 (60)
275.8 (40)
275.8 (40)
275.8 (40)
137.9 (20)
413.7 (60)
413.7 (60)
9
Bundle Power
(kW)
Inlet Reynolds
Number
10
15
20
30
40
50
70
95
140
15
30
70
14
30
70
10
10
15
95
140
95
1400
2000
4000
6000
8000
10000
15000
20000
30000
2000
6000
15000
2000
6000
15000
2000
4000
2000
20000
30000
20000
3.
3.1
CALCULATION METHODS
Heater Rod Outside Wall Temperature and Heat Flux
The DATARH program was used to calculate the transient heater rod outside surface
temperatures, and the total surface heat flux. The surface heat flux and the outside wall
temperature represent a total heat transfer from the heater rod surface and would include
radiation heat transfer as well as convection. The transient results from DATARH were time
averaged to get steady state values which were used in subsequent calculations. Note that the
steam cooling tests were performed under quasi-steady conditions. As such, DATARH was
used mainly to account for the resistance across the cladding in determining the surface
temperatures and to assure that steady-state conditions existed.
Program DATARH.F contains the source code to perform an inverse heat conduction calculation
in an electrically heated rod, in which internal cladding thermocouples exist.
The purpose of the code is to calculate the surface temperature and the surface heat flux for the
heater rods. The program uses experimental data, heater rod dimensions, and material
properties to perform calculations. The mathematical model for the calculations is described in
Section 3.1.1 below.
The program input described herein has been modified for the RBHT experiments from the
DATARH.F program used for the FLECHT-SEASET experiments. [4] Differences between
heater rods used in the FLECHT-SEASET experiments and the RBHT experiments (e.g., rod
dimensions, differences in rod internal materials) have been accounted for in this version of the
program.
The sections that follow describe the structure of the source program, RBHT rod geometry and
materials, and the input files required for executing the current version of the program.
3.1.1
Mathematical Model
DATARH program calculates the surface temperature, the surface heat flux and the transient heat
transfer coefficient for heater rods by solving the “Inverse Heat Conduction Problem” (IHCP).
The IHCP is basically the determination of the surface temperature, therefore the surface heat
flux can be determined from the transient temperatures measured at an interior location of a
heated structure. In the problem solved by DATARH, the initial temperature distribution is known.
The IHCP is an ill-posed problem and in order to overcome the ill-posedness, several methods
have been developed [9]. One method of solving IHCP problems is the Beck method which
requires the knowledge of the initial wall temperature and proceeds sequentially. In this method,
the equations are only solved for a few future times while the wall temperature and the wall heat
flux is only taken up to the next time step, and the sequential procedure is started again by
shifting it one time step further [9].
The finite difference approximation in implicit form of a one-dimensional heat conduction equation in
cylindrical coordinates is typically [10]
11
B ( n)T ( n  1)  A( n)T ( n)  C ( n)T ( n  1)  T ' (n)  Q ( n); 1  n  N
(3-1)
where
B ( n) 
 r ( n  1 / 2) k ( n  1 / 2)

r ( n)
 ( n )c ( n )
( r ) 2
(3-2)
C ( n) 
 r ( n  1 / 2 ) k ( n  1 / 2 )

r ( n)
 ( n)c ( n)
( r ) 2
(3-3)
A( n)   B ( n)  C ( n)  1
(3-4)
q (n)
 ( n)c ( n)
(3-5)
Q ( n) 
where T(n) is the unknown temperature at node point n
T'(n) is the known temperature at node point n. This is also the "initial value".
r is the spatial variable.
∆r is the spatial increment.
∆θ is the time increment.
Here, K, ρ, c are the thermal conductivity, density and specific heat, respectively. Their numerical
values are computed at T'. If values at half intervals are required, they are evaluated at the
average of two adjacent temperatures.
q is the volumetric heat generation rate.
N is the number of internals. Hence, there are N+1 node points.
For n = 1, the node point is at the centerline of the rod, T(n-1)=T(n+1), since at this point the
symmetry requires the flux be zero. At the point n=M, T(M) is the known measured temperature
and finally, at the outer boundary point, n=N, T(n+1) is the desired wall temperature. If the heat
conducting body is made up by composite material, the temperature at the interface can be
handled by usual means, i.e. both the temperature and flux must be continuous. However, in this
case, the spatial interval size, ∆r, would vary from region to region such that particular node
points coincide with the material interfaces and T(M).
Apply Equation (3-1) to node points n=1,2,...N and, combining the boundary condition T(0) = T(2)
with the finite difference equation at n=1 to eliminate T(0), we have a set of N linear simultaneous
equation with N unknown temperatures, T(n); n=1,..., N+1, n≠M. The solution of this set of
equations define the temperature field at a given time step, θ. The transient solution can thus be
obtained by repeating the same procedure with successive increment of ∆θ.
12
The method outlined above is simple-minded in principle and straightforward in practice.
Because of the implicit finite difference scheme, the stability of the computation is guaranteed.
As long as reasonable increment sizes, ∆r and ∆θ, are chosen, acceptable numerical accuracy
can be expected.
It is noticed that if M=N+1, the inverse heat conduction problem is reduced to a more
conventional type with a flux condition specified on one boundary (centerline) and a temperature
condition specified on the other (wall). In this case, the coefficient matrix for the linear equations,
as defined by Equation (3-1), is tri-diagonal. However, the presence of a known temperature,
T(M), M≠N+1, in the linear set to replace the wall temperature, T(N+1), destroys the
tri-diagonality and consequently complicates the solution procedure since for linear equations
with a tri-diagonal coefficient matrix, the solution can be obtained by a time saving matrix
resolution technique which is not applicable to any other form of matrix.
Let us, for the time being, ignore the fact that T(M), M≠N+1, is known and assume that T(N+1) is
known instead. The linear equation, written in the usual manner is:

 
[ J ]T  F  C ( N )T ( N  1)G
(3-6)
where [J] is the tri-diagonal coefficient matrix defined by Equations (3-1) through (3-4).

T is the solution vector with N components

F is the "source" vector with the components defined by the quantities on the right-hand side of
Equation (3-1).

G is a vector with first N-1 components equal to zero and the N-th component equal to one, i.e.
q(i)=0, i≠N, q(i)=1, i=N


If X and Y are, respectively, solutions of
 
[J ]X  F
(3-7)


[ J ]Y  G
(3-8)
then the linearity of Equation (3-6) leads to
 

T  X  C ( N )T ( N  1)Y
(3-9)
Equation (3-9), in scalar form for n=M, gives
T ( M )  X ( M )  C ( N )T ( N  1)Y ( M )
(3-10)
or
13
T ( N  1) 
T (M )  X (M )
, Y(M)  0
C ( N )Y ( M )
(3-11)
Since all the quantities on the right hand side of Equation (3-10) are known, the wall temperature
T(N+1), can be computed. The remaining temperature field can be obtained by repeated
application of Equation (3-9).
If the temperature measurement T(M) as a function of time is both accurate and frequent enough,
the method outlined above would produce acceptable results. In practice, however, such
accuracy and frequency as demanded by the numerical method is almost impossible to achieve.
Any error in T(M), either due to instruments or due to interpretation, would be amplified in this
numerical process. An error is usually propagative and oscillatory and results from a successive
over and under correction of the heat balance as demanded by the governing heat conduction
equation.
Therefore, it is desirable to devise a numerical method such that the input error of T(M) could be
damped during the subsequent computation steps. One such method is programmed in
DATARH. It must be stressed that damping of input error can only improve the accuracy of the
computed results by reducing the input error amplification. The inherent error due to inaccurate
input data still remains.
The basic principle of the method is to utilize the information of T(M) available over an open time
span when the computation is just entering this time span. Let the parenthesized superscript

(1)
denote a relative time step then the computation of T would not only involve an initial value



T ( 0 ) , but also T ( 2 ) ( M ), T ( 3) ( M ),.. This calculation is followed by an optimization process to
minimize the error amplification. This optimization can be accomplished in, although not
restricted to, a least-squared sense.
Following Equation (3-1) and the subscript notation defined above, we have:
B(n)T (1) (n  1)  A(n)T (1) (n)  C (n)T (1) (n  1)  Q(n)  T ( 0) (n)
(3-12)
B ( N )T (1) ( N  1)  A( N )T (1) ( N )  Q( N )  T ( 0) ( N )  C ( N )T ( N  1)
(3-13)
The solution using Equation (3-9) is;



T (1)  X (1)  C ( N )T ( N  1)Y (1)
(3-14)



(1)
(1)
(1)
In the above equation, all the components in X
and Y are known and T is not known
since the wall temperature T(N+1) is needed to be determined.
The computation can be carried out for one more time step as below:
14
B( n)T ( 2 ) ( n  1)  A(n)T ( 2 ) (n)  C (n)T ( 2 ) (n  1)
 Q (n)  T (1) (n)


 Q (n)  X (1) ( n)  C ( N )T ( N  1)Y (1)
(3-15)
B( N )T ( 2 ) ( N  1)  A( N )T ( 2) ( N )
 Q ( N )  T (1) ( N )  C ( N )T ( N  1)
 Q ( N )  X (1) ( N )  C ( N )T ( N  1)Y (1) ( N )  C ( N )T ( N  1)


 Q ( N )  X (1) ( N )  C ( N )T ( N  1) Y (1) ( N )  1
(3-16)
The above equations form a linear system which is the same as that defined in Equation (3-6)


G
F
and
. The linear set has the solution of the form of Equation (3-9):
provided the vectors



T ( 2 )  X ( 2 )  C ( N )T ( N  1)Y ( 2 )
(3-17)
For the other time steps, similar equations can be written:



T ( 3)  X ( 3)  C ( N )T ( N  1)Y ( 3)
(3-18)



T ( j )  X ( j )  C ( N )T ( N  1)Y ( j ) ; j  1,2,...., J
(3-19)
 ( j)
( j)
In the above equation, the vectors X and Y are known for all j. The computation can
terminate at any value of J. This set of equations are to be optimized to obtain the value of
T(N+1).
At a location where the measurements are recorded for T(j)(M), Equations (3-18) and (3-19)
gives
T ( j ) ( M )  X ( j ) ( M )  C ( N )T ( N  1)Y ( j ) ( M )
(3-20)
The measured temperatures u(j) are known for all values of j. The error between the computed
and measured temperature is
 ( j)  T ( j ) (M )  u ( j )
 X ( j ) ( M )  C ( N )T ( N  1)Y ( j ) ( M )  u ( j ) ; j  1,2,...., J
(3-21)
The problem is now reduced to finding a T(N+1) such that θ is at a minimum. This can be
accomplished by a least-squares method:
 
2

E 2   j  ( j )   j X ( j ) ( M )  C ( N )T ( N  1)Y ( j ) ( M )  u ( j )
dT ( N  1)  0
15

( 2)
(3-22)
(3-23)
j
X ( j ) (M )  u ( j )
 C ( N )T ( N  1)  0
Y ( j ) (M )
(3-24)
1
u ( j )  X ( j ) (M )
j
C(N )
Y ( j ) (M )
(3-25)
T ( N  1) 
Therefore, the desired temperature field can be calculated by,



T (1)  X  C ( N )T ( N  1)Y (1)
(3-26)
Above equation defines the initial values for the computations of the subsequent time step. The
computation can be carried out repeatedly for each advance of time increment.
3.1.2
Structure of the Source Program
DATARH.F
This section briefly describes the structure of the source program. Detailed comments may be
found within the body of the source program as well. The reader is advised that it will be helpful
if a listing of the program DATARH.F is referenced as the remainder of this section is being read,
since this will enhance the reader’s understanding of the description of the program structure that
follows.
All real variables used in the program have been declared double precision numbers, as
indicated by the use of the implicit double precision (a-h, o-z) statement. The program reads
two character variables, TITLE1 and RLOC, that may each be up to 15 alphanumeric characters
in length. These are intended to be identifiers of a test case. No intermediate spaces may be
present within each set of alphanumeric characters. However, each identifier may be of length
less than 15 alphanumeric characters if desired.
The program utilizes a number of data arrays, which may be identified by examining the
dimension statements within the main program and sub-programs. It is important to note that
some of these arrays have been declared to be of length 2000, while others have been declared
to be of length 10 or 50. There are several arrays that have multiple dimensions; e.g., array ti is
seen to be of dimension 10x10. These numerical figures are indicative of limits built into the
program.
The length 10,000 indicates that the current version of the program is capable of reading in up to
a maximum of 10,000 sets of input data, each comprising time, clad temperature and power to
the rod being analyzed. (See input file in1.dat described below.) It also indicates that the
maximum number of points in time for which the program is capable of computing heat flux and
heat transfer coefficient values is limited to 10,000.
The length 10 indicates that the region between two adjacent conduction nodes may be divided
into a maximum of 10 sub-regions. As seen by the data (r(i), i=1,5) statement, the program is
capable of handling five outer conduction nodes and one implied conduction node at the
rod-center, and hence five regions. Thus, the length 50 arises from the fact that the total
number of sub-regions that may be handled by this version of the program is 10x5.
16
The radial distance from the center of a heater rod to each outer conduction node is initialized by
the data (r(i), i=1,5) statement. Currently, this statement contains radial data for RBHT heater
rods, and values are in ft.
The program reads input data via two input files. The file names are expected to be in1.dat and
in2.dat. These files must exist at the time the executable is run. The required contents of
these files are described in a section that follows. The program will write output data to a file by
the name of out1.dat. This file will be created by the executable during a run, and a file by this
name must not be present in the working directory at run-time. (If the output file from a previous
run exists, it must either be deleted, or be renamed.)
The program will terminate upon reaching the end of the input file in1.dat. As described in the
section on input files that follows, the end of input data is signaled to the executable program by
the use of characters END (case sensitive) in the input file in1.dat as input to character variable
title1.
Initializing the number of sub-regions within the region between a given pair of conduction nodes
is accomplished by the array intv(i), i = 1 through 5. As discussed above, the maximum number
of sub-regions within any region is limited to 10. The heater-rod length is set to be 3.66 m (12 ft)
by means of variable tlength.
After all input data has been read, and once the initialization of the conduction region dimensions
and heater rod length has been completed, the program will write a summary of the input data to
the output file. It is after this that the computational procedures begin.
The first step is to convert the input time scale (array timer) so that the time of flood is treated as
zero-time. This is accomplished by a do loop that causes the time of flood, tflood, to be
subtracted from each time value (array timer) that was read by the program. Next, the number
of data points that would be output by the program, jtime, is computed using the last value of
input time, timer(nscan), the first value of input time, timer(1), and the value of dt (which is the
time interval between results computed by the program). Note that nscan is the number of sets
of input data points; see description of input file in1.dat below. Now, an array of time values at
which results will be computed, array time, is computed. This too is accomplished by a do loop,
and is performed by first setting time(1) equal to timer(1), and then successively adding the value
of dt to the current value of time to get the next value of time.
The next step is to compute an array of sink temperatures, Tsink. This array will have nscan
number of values. It should be noted that the current version of the program treats the
saturation temperature corresponding to the operating pressure as the sink temperature
throughout the length of the heater rod. Thus, all values in array Tsink will numerically be the
same.
The program will now access an interpolation subroutine (a subroutine tbl in DATARH) to
compute the saturation temperature, rod power, and the clad temperature at each value in array
time (the time values at which results are desired). The value of sink temperature computed,
Tsink, will be written to the output file at this time as well.
Preparation of an array q that will contain volumetric heat generation rates at each value of array
time is performed next. Each interpolated value of rod power (at a given value of time) is
multiplied by the axial power factor, fax, and the radial power factor (if applicable), fp, and is
17
divided by the total rod length. Then, each resulting value of q is converted to a volumetric heat
generation rate in Btu/hr.ft2.s by means of appropriate conversion factors and rod dimensions.
It should be noted that if the total power supplied to the rod that is being analyzed is input in file
in2.dat (values of variable po11), then fp should be input as 1.0. (Zone power differences will
be accounted for when total rod power is input.) It is important to note also that the value of fax
is dependent on the axial height of the thermocouple from which clad temperatures have been
obtained for input (values of variable tclad in file in2.dat). These have been calculated for each
thermocouple location and for each rod in the RBHT rod bundle.
The program investigates the curvature of the future three data points next. The subroutine that
performs the inverse conduction calculation is called after this computation. Once the inverse
conduction calculation is completed for all time values desired, values of heat flux and heat
transfer coefficient at the rod surface are computed. These values along with the computed rod
surface temperature at each time value are then written to the output file. The program will then
continue onto the next case (if input data are present), or will terminate if the end of input data
has been reached.
It is important to note that the program limits the values of nscan and jtime to be 2000 at most.
See statements if (nscan .gt. 2000) nscan=2000 and if(jtime .gt. 2000) jtime=2000 that appear
within the source program. This is in accordance with the limitation in the dimensioning of some
arrays, as described previously. It should also be noted that the maximum time up to which the
program will compute results is limited to 2000 s after reflood. See statement
tfinal=dmin1(2.0d+03, timer(nscan)) within the program.
3.1.3
RBHT Rod Geometry and Materials
The RBHT bundle and rod geometry is described in Section 2 of the report. Figure 2-3 shows
the cross section of the RBHT bundle. The bundle has 45 heater rods and four unheated corner
rods. The corner rods are used to support the bundle, grids and the thermocouple leads. The
support rods are made from Inconel 600 tubing having a diameter of 9.525 mm (0.375 in.), a wall
thickness of 2.108 mm (0.083 in.) and a form length of 3.96 m (156 in.). The heater rods are
3.657 m (12 ft) in heated length with a skewed axial power profile, as shown in Figure 2-4, with
the peak power located at 2.74 m (9 ft) elevation. The bundle has a uniform radial power
distribution. The maximum to average power ratio (Pmax/Pavg) is 1.5, and the minimum to
average power ratio (Pmin/Pavg) is 0.5 at both ends of the heated length.
Figure 3-1 shows the description of the geometry for the RBHT heater rod geometry and
dimensions.
18
Figure 3-1: Geometry, Materials and Dimensions of RBHT Heater Rod.
3.1.4
Required Input Files
The program reads input data via two input files. The file names are expected to be in1.dat and
in2.dat. These files must exist at the time the executable is run.
File in1.dat should contain sets of input data arranged in lines, one line being required per reflood
experiment analyzed. Each line must have values for the following input variables in the
specified format, separated by one or more spaces:
19
TITLE1
RLOC
NSCAN
FAX
FP
FKA
PRES
TFLOOD
DT
Character, A15
Character, A15
Integer
Real
Real
Real
Real
Real
Real
Identifier for each experimental run.
Rod location/elevation.
Number of data points per channel.
Axial power factor.
Fraction of zone power to this rod.
Volumetric fraction of KANTHAL.
System pressure, psia.
Time of flood, s.
Desired time interval between successive values of heat flux and
heat transfer coefficient calculated by this program, s.
After the last set of values, a final additional line with 'END' (case sensitive) as the first two
entries and zeros (in required format, real or integer) as remaining entries must be present.
This signals end of input data to the executable program.
File in2.dat should contain nscan sets of time, rod power and clad temperature values per line of
data in file in1.dat. (The value of nscan appears as an input in file in1.dat.) One set of values
must appear on one line, each value separated by at least one space. A description of the data
required follows:
timer
po11
tclad
nscan
Real
Real
Array of time values, s.
Rod power from decay power table at each TIMER value, kW. Note that the
power input into the individual rod under consideration, corrected for decay,
must be input here.
Real
Clad temperature, deg. F, at each timer value.
Integer Number of data points per channel. Value is given as an input in file in1.dat
The calculation of the axial power factors for the RBHT heater rods is given in Section 3.1.5.
The sample input and output files from DATARH are given at the end of the section.
3.1.5
Calculation of the Power Factor at Each Thermocouple Location
Stern Lab measured the resistance of each heater rod filament beginning from the bottom of the
heated length to the end of the heated length. The measurements were made over increments of
one tenth of the length of the rod and the cumulative resistances were reported. Table 3-1
shows a sample table of data from Stern Lab.
20
Table3-1. Heater Number 1
Length (in)
Resistance (Ohm)
0
0.000
14.28
0.018
28.55
0.040
42.83
0.066
57.1
0.096
71.38
0.129
85.65
0.166
99.93
0.211
114.20
0.258
128.48
0.291
142.75
0.315
WINDOWS (EAST)
Rod A1
Support Rod
Rod B1
GR-7
PSP-15
Rod C1
GR-0
PSP-45
Rod D1
GR-7
PSP-16
Rod E1
GR-0
PSP-48
Rod F1
GR-0
PSP-42
Rod G1
Support Rod
Rod A2
GR-0
PSP-40
Rod B2
GR-1
PSP-36
Rod C2
GR-2
PSP-32
Rod D2
GR-6
PSP-12
Rod E2
GR-8
PSP-6
Rod F2
GR-1
PSP-37
Rod G2
GR-0
PSP-47
Rod A3
GR-0
PSP-49
Rod B3
GR-8
PSP-27
Rod C3
GR-5
PSP-4
Rod D3
GR-3
PSP-21
Rod E3
GR-4
PSP-7
Rod F3
GR-8
PSP-28
Rod G3
GR-0
PSP-43
Rod A4
GR-7
PSP-17
Rod B4
GR-3
PSP-22
Rod C4
GR-3
PSP-23
Rod D4
GR-3
PSP-25
Rod E4
GR-3
PSP-24
Rod F4
GR-5
PSP-2
Rod G4
GR-0
PSP-44
Rod A5
GR-0
PSP-41
Rod B5
GR-2
PSP-33
Rod C5
GR-4
PSP-8
Rod D5
GR-8
PSP-29
Rod E5
GR-4
PSP-9
Rod F5
GR-2
PSP-34
Rod G5
GR-0
PSP-50
Rod A6
GR-7
PSP-18
Rod B6
GR-1
PSP-38
Rod C6
GR-2
PSP-35
Rod D6
GR-6
PSP-13
Rod E6
GR-8
PSP-30
Rod F6
GR-1
PSP-39
Rod G6
GR-0
PSP-3
Rod A7
Support Rod
Rod B7
GR-0
PSP-1
Rod C7
GR-6
PSP-11
Rod D7
GR-7
PSP-19
Rod E7
GR-0
PSP-46
Rod F7
GR-7
PSP-20
Rod G7
Support Rod
WINDOWS (WEST)
Figure 3-2. RBHT- Test Facility, Heater Rod Locations (Looking down from Top).
Figure 3-2 shows the schematic of the RBHT test facility heater rod layout. The 7x7 bundle
consists of 8 groups of rods as indicated by GR - # (group number), these are instrumented rods
while GR-0 rods are un-instrumented. The PSP - # is the serial number of the rods as given by
Stern Labs.
21
The heater rod is composed of a series of resistances along the length. The power shape that is
required is obtained by appropriately changing the pitch of the heater element.
Using the data, the resistance for every incremental length (one tenth of the total length) is
calculated by subtracting the value of resistance over the total length (0 to that axial location)
from the previous value (0 to the previous axial location). This would give the resistance of the
filament portion for that region (one-tenth of the total length). The incremental length over which
the measurements are made is also calculated. This is a constant (14.28 in or 14.27 in).
The axial power ratio is defined as the ratio of the incremental resistance for that incremental
length over the incremental length to the total resistance of the rod over the total heated length.
Using this definition, the axial power ratio over each incremental length is calculated.
This is plotted as a function of length to get the power shape for each rod. Since the
measurements provided by Stern labs was over every tenth of the heated length, these points
were plotted at an average axial position (for example – for the length between 14.28 in and
28.55 in, the incremental resistance and hence the power ratio over this span was plotted at a
location of 21.415 in). Such a plot is shown in Figure 3-3, for Rod F4 (Stern lab heater number 2)
Measurements from Stern labs were such that they bypassed the peak power location, meaning
– the measurement was taken at 99.93 in and 114.20 in elevations. The peak power location was
108 in. In order to calculate the power ratio at the peak power location and for any arbitrary
location along the length of the heater rod, a straight line is fit for the power ratio calculated using
the data points between 0 and 108 in. The equation for the power ratio is a function of length
along the heater rod. Using this equation, the peak power ratio is calculated for each rod (i.e. the
value of power factor is calculated at 108 in. location). This is then used along with the remaining
calculated values of power ratio (for length beyond 108 in) and another such plot is made. An
equation relating the power ratio and the heated length is obtained for the region beyond 108 in.
Thus, for each heater rod, two plots are made, one for the length of the heater rod below the
peak power location and the other beyond the peak power location to the end of the heated
length. Using the equations for the power ratio as a function of axial position, the power ratio at
any location along the heater rod is obtained.
This procedure is followed for each rod with thermocouples and the power ratio for every
thermocouple location is obtained.
Table 3-2 shows a typical calculation for one rod (The resistances are values before swaging).
22
1.6
1.4
Power Ratio
1.2
1
0.8
0.6
0.4
0.2
0
0
50
100
150
Length (in)
Figure 3-3 Thermocouple Locations for Rod F4, (Stern Heater number 2).
Table 3-2. Sample Power Factor Calculation for One Heater Rod
Ste rn Lab He ate r Numbe r 2: RB HT RO D F4
Length
(in)
Increment
length
(in)
Averaged
Length
(in)
0
14.28
28.55
42.83
57.1
71.38
85.65
99.93
14.28
14.27
14.28
14.27
14.28
14.27
14.28
14.27
114.2
128.48
142.75
14.28
14.27
7.14
21.415
35.69
49.965
64.24
78.515
92.79
107.065
108
121.34
135.615
Heater # 2 Difference
Res is tance
Ohm
Ohm
0
0.017
0.039
0.065
0.095
0.129
0.167
0.209
0.017
0.022
0.026
0.03
0.034
0.038
0.042
0.044
0.253
0.288
0.311
0.035
0.023
Power
Ratio
Channel # Ins trument
Location
Power
ratio
T HERM OCOUP LE INFORM AT ION
0.55
0.71
0.84
0.96
1.09
1.22
1.35
1.42
1.49
1.13
0.74
98
99
100
101
102
103
104
85.6
88.4
92.4
94.3
97.2
108
108.8
111
1.29
1.31
1.35
1.37
1.39
1.49
1.47
1.41
Figure 3-4 and Figure 3-5 show the plots of the power ratio as the function of length along the
heater rod. Figure 3-4 is the plot from the beginning of the heated length to the peak power
location (108 in.), while Figure 3-5 is the plot from the peak power location (108 in.) to the end of
heated length.
The values of the axial power factor for all the thermocouples used in the RBHT facility is shown
in Table 3-3. The values of the axial power factors range from 0 to 1.5, which is the value at peak
power location of 108 in. For example: RodB1_47.9 refers to the thermocouple at 47.9 in
elevation for rod B1. These values are directly used in DATARH for the local rod heat flux and
heat transfer coefficient calculations.
23
1 .6
y = 0 .0 0 9 2 x + 0 .4 9 7 8
R 2 = 0 .9 9 8 8
1 .4
1 .2
Power Ratio
1
0 .8
Ro d F4
0 .6
T C lo c a tio n s
Lin e a r (Ro d F4)
0 .4
0 .2
0
0
20
40
60
80
100
120
L en gt h ( in )
Figure 3-4. Power Ratio as a Function of Length (beginning of heated length to PCT
location).
1 .6
Ro d F4
1 .4
T C lo c a tio n
Lin e a r (Ro d F4)
1 .2
y = - 0 .0 2 7 2 x + 4 .4 2 9 4
R2 = 1
Power Ratio
1
0 .8
0 .6
0 .4
0 .2
0
100
110
120
130
140
150
L en gt h ( in )
Figure 3-5. Power Ratio as a Function of Length (from PCT location to the end of heater
length).
24
Table 3-3. Power Ratios at various axial the RBHT Heater Rods
Rod ID Elevation
(inches)
RodB1_47.9
RodB1_63.6
RodB1_68.6
RodB1_79.7
RodB1_97.1
RodB1_114.8
RodB1_126.7
RodB1_139.4
RodD1_47.9
RodD1_63.8
RodD1_68.8
RodD1_79.9
RodD1_97.3
RodD1_115
RodD1_126.6
RodD1_139.4
RodB2_4.1
RodB2_11.2
RodB2_16.2
RodB2_23.3
RodB2_29.3
RodB2_33.3
RodB2_35.3
RodB2_38.4
RodC2_41
RodC2_53.1
RodC2_55
RodC2_57.8
RodC2_63.9
RodC2_73.8
RodC2_75.8
RodC2_76.8
RodD2_103.2
RodD2_106
RodD2_112.6
RodD2_114.9
RodD2_117.4
RodD2_120.8
RodD2_124.8
RodD2_128.6
RodE2_50.1
RodE2_54
RodE2_56.9
RodE2_59.9
Power
Factor
0.936
1.082
1.128
1.231
1.393
1.314
0.99
0.644
0.941
1.093
1.141
1.248
1.415
1.317
0.99
0.629
0.521
0.589
0.636
0.704
0.761
0.799
0.818
0.847
0.87
0.983
1
1.026
1.083
1.175
1.194
1.203
1.455
1.481
1.358
1.295
1.227
1.134
1.024
0.92
0.962
0.998
1.025
1.054
Rod ID Elevation
(inches)
RodE2_66
RodE2_69.8
RodE2_72.9
RodE2_74.9
RodF2_4.1
RodF2_11.2
RodF2_16.2
RodF2_23.3
RodF2_29.2
RodF2_33.3
RodF2_35.3
RodF2_38.3
RodB3_50.2
RodB3_54.1
RodB3_56.9
RodB3_60.1
RodB3_66.1
RodB3_69.9
RodB3_73
RodB3_75
RodC3_79.8
RodC3_85.6
RodC3_88.5
RodC3_92.4
RodC3_94.4
RodC3_97.2
RodC3_108.8
RodD3_88.3
RodD3_91.3
RodD3_93.1
RodD3_95.3
RodD3_100.1
RodD3_106.1
RodD3_110
RodD3_142.1
RodE3_63.4
RodE3_113.6
RodE3_115.5
RodE3_118.5
RodE3_122.7
RodE3_126.5
RodE3_131.7
RodE3_135.6
RodF3_50.1
25
Power
Factor
1.111
1.147
1.176
1.195
0.519
0.586
0.634
0.701
0.757
0.796
0.815
0.843
0.956
0.992
1.018
1.048
1.104
1.139
1.168
1.187
1.228
1.281
1.308
1.344
1.362
1.388
1.463
1.313
1.341
1.358
1.378
1.423
1.479
1.46
0.51
1.079
1.331
1.281
1.203
1.094
0.995
0.86
0.759
0.956
Rod ID Elevation
(inches)
RodF3_54
RodF3_57
RodF3_60
RodF3_66.1
RodF3_69.9
RodF3_73
RodF3_75
RodA4_48
RodA4_63.8
RodA4_68.8
RodA4_79.9
RodA4_97.1
RodA4_115
RodA4_126.8
RodA4_139.4
RodB4_88.4
RodB4_91.3
RodB4_93.3
RodB4_95.1
RodB4_100
RodB4_106
RodB4_109.9
RodB4_142.3
RodC4_88.4
RodC4_91.1
RodC4_93.4
RodC4_95.3
RodC4_100.1
RodC4_106.1
RodC4_110
RodC4_142.2
RodD4_88.3
RodD4_91.3
RodD4_93.2
RodD4_95.2
RodD4_100.1
RodD4_106.1
RodD4_110
RodD4_142.1
RodE4_88.4
RodE4_91.2
RodE4_93.2
RodE4_95.3
RodE4_100.9
Power
Factor
0.993
1.022
1.05
1.108
1.145
1.174
1.193
0.94
1.084
1.13
1.231
1.387
1.291
0.977
0.642
1.303
1.329
1.347
1.363
1.407
1.461
1.414
0.549
1.328
1.354
1.376
1.394
1.439
1.496
1.448
0.553
1.323
1.351
1.369
1.388
1.434
1.491
1.44
0.534
1.303
1.329
1.347
1.365
1.416
Table 3-3 Power Ratios for Thermocouple Locations for the RBHT Heater Rods (cont.)
Rod ID Elevation
(inches)
RodE4_106.1
RodE4_110
RodE4_142.3
RodF4_85.6
RodF4_88.4
RodF4_92.4
RodF4_94.3
RodF4_97.2
RodF4_108.8
RodF4_111
RodB5_41
RodB5_52.9
RodB5_55
RodB5_57.8
RodB5_64
RodB5_73.9
RodB5_75.9
RodB5_76.9
RodC5_63.7
RodC5_113.6
RodC5_115.7
RodC5_122.7
RodC5_126.7
RodC5_131.6
RodC5_135.7
RodD5_50
RodD5_54.1
RodD5_56.9
RodD5_60
RodD5_66.1
RodD5_69.9
RodD5_72.9
RodD5_74.9
RodE5_63.6
RodE5_113.6
RodE5_115.4
RodE5_118.7
RodE5_122.6
RodE5_126.6
RodE5_131.6
RodE5_135.6
RodF5_41
RodF5_53.1
RodF5_55
Power
Factor
1.463
1.428
0.54
1.285
1.311
1.348
1.365
1.392
1.47
1.41
0.872
0.982
1.002
1.028
1.085
1.177
1.196
1.205
1.059
1.298
1.246
1.073
0.974
0.853
0.752
0.959
0.996
1.022
1.051
1.107
1.142
1.169
1.188
1.085
1.339
1.292
1.208
1.108
1.006
0.878
0.775
0.866
0.978
0.996
Rod ID Elevation
(inches)
RodF5_57.8
RodF5_64
RodF5_73.8
RodF5_75.8
RodF5_76.8
RodA6_47.7
RodA6_63.6
RodA6_68.5
RodA6_79.8
RodA6_97.4
RodA6_115.1
RodA6_126.6
RodA6_139.9
RodB6_4.1
RodB6_11.2
RodB6_16.2
RodB6_23.3
RodB6_29.3
RodB6_33.3
RodB6_35.3
RodB6_38.4
RodC6_40.9
RodC6_52.8
RodC6_54.8
RodC6_57.8
RodC6_63.8
RodC6_73.7
RodC6_75.8
RodC6_76.8
RodD6_103.1
RodD6_106
RodD6_112.9
RodD6_114.9
RodD6_116.8
RodD6_120.9
RodD6_124.8
RodD6_128.7
RodE6_50.2
RodE6_54.1
RodE6_57
RodE6_60.2
RodE6_66.1
RodE6_70
RodE6_73.1
26
Power
Factor
1.022
1.08
1.171
1.19
1.199
0.942
1.085
1.129
1.231
1.389
1.29
0.986
0.633
0.526
0.592
0.638
0.703
0.758
0.795
0.813
0.842
0.866
0.981
1.001
1.03
1.088
1.184
1.204
1.214
1.457
1.484
1.354
1.298
1.246
1.132
1.024
0.916
0.956
0.992
1.018
1.048
1.102
1.138
1.166
Rod ID Elevation
(inches)
RodE6_75
RodF6_4.1
RodF6_11.2
RodF6_16.3
RodF6_23.3
RodF6_29.3
RodF6_33.3
RodF6_35.3
RodF6_38.3
RodC7_112.6
RodC7_116.6
RodC7_124.4
RodC7_128.4
RodD7_47.9
RodD7_63.6
RodD7_68.8
RodD7_79.8
RodD7_97.1
RodD7_114.9
RodD7_126.7
RodD7_139.4
RodF7_47.9
RodF7_63.8
RodF7_68.9
RodF7_79.9
RodF7_97.2
RodF7_114.9
RodF7_126.8
RodF7_139.4
Power
Factor
1.184
0.528
0.593
0.639
0.703
0.757
0.794
0.812
0.839
1.323
1.224
1.03
0.931
0.948
1.091
1.138
1.238
1.396
1.293
0.958
0.598
0.946
1.101
1.15
1.257
1.425
1.333
0.953
0.551
Sample input file: in1.dat
RodD4_110
END
RodD4_110
END
8656 1.4396 1
0.863844
40
0
0
0.00
0.0
0.00
0.0
0.0
0.0
0.5
This input file should contain values of the following variables, each value separated by one or
more spaces:
TITLE1, RLOC, NSCAN, FAX, FP, FKA, PRES, TFLOOD, DT
TITLE1
RLOC
NSCAN
FAX
FP
FKA
PRES
TFLOOD
DT
Character, A15
Character, A15
Integer
Real
Real
Real
Real
Real
Real
Identifier for each experimental run.
Rod location/elevation.
Number of data points per channel.
Axial power factor.
Fraction of zone power to this rod.
Volumetric fraction of KANTHAL.
System pressure, psia.
Time of flood, s.
Desired time interval between successive values of heat flux and
heat transfer coefficient calculated by this program, s.
One line of values per test case should be present.
After the last set of values, a final additional line with 'END' as the first two entries and zeros (in
required format, real or integer) as remaining entries must be present.
Table 3-4 Sample Input File: in2.dat*
0
0 .1
0 .2
0 .3
0 .4
0 .5
0 .6
0 .7
0 .8
0 .9
1
1 .1
1 .2
1 .3
1 .4
1 .5
1 .6
1 .7
1 .8
1 .9
2
3 .1 9 4
3 .1 9 6
3 .1 9 6
3 .1 9 4
3 .1 9 3
3 .1 9 6
3 .1 9 7
3 .1 9 6
3 .1 9 9
3 .1 9 8
3 .1 9 7
3 .1 9 7
3 .1 9 7
3 .1 9 8
3 .1 9 9
3 .1 9 8
3 .1 9 5
3 .1 9 5
3 .2 0 0
3 .2 0 0
3 .2 0 0
1 2 9 0 .7 0 6
1 2 9 0 .1 5 3
1 2 9 1 .2 3 8
1 2 9 2 .0 1 5
1 2 9 2 .5 4 7
1 2 9 3 .4 2 7
1 2 9 4 .0 6 1
1 2 9 4 .4 7 0
1 2 9 5 .1 6 5
1 2 9 6 .1 4 7
1 2 9 6 .4 5 4
1 2 9 7 .3 1 3
1 2 9 7 .5 3 8
1 2 9 8 .6 2 3
1 2 9 8 .9 0 9
1 2 9 9 .6 4 7
1 3 0 0 .4 9 0
1 3 0 0 .9 0 1
1 3 0 1 .2 9 1
1 3 0 2 .1 9 5
1 3 0 3 .0 7 9
8 7 1.8
8 7 1.9
872
8 7 2.1
8 7 2.2
8 7 2.3
8 7 2.4
8 7 2.5
8 7 2.6
8 7 2.7
8 7 2.8
8 7 2.9
873
8 7 3.1
8 7 3.2
8 7 3.3
3 .2 01
3 .2 02
3 .2 01
3 .2 03
3 .2 02
3 .2 02
3 .2 02
3 .2 01
3 .2 00
3 .2 01
3 .2 02
3 .2 02
3 .2 02
3 .2 02
2 .5 43
0 .0 21
2 7 4 .28 9
2 7 5 .17 4
2 7 4 .20 4
2 7 4 .05 7
2 7 4 .16 2
2 7 4 .01 4
2 7 3 .95 1
2 7 3 .38 2
2 7 3 .36 1
2 7 3 .93 0
2 7 3 .23 4
2 7 3 .23 4
2 7 4 .16 2
2 7 4 .31 0
2 7 4 .77 4
2 7 3 .44 5
* Note: This input file is truncated between the two columns of entries in view of saving paper for
print out. The file continues in steps of 0.1 s. Obviously, this text line portion will not appear in the
actual input file. This file is usually created in EXCEL and saved as in2.dat
SAMPLE OUTPUT FILE
27
***** RBHT EXPERIMENTS *****
***** Test ID : RodD4_110
***** Rod
: RodD4_110
Initial Run Conditions
:
No. of data points per Channel:
Axial Power Factor:
Fraction of Zone Power to rod:
Volumetric fraction of KANTHAL:
System pressure:
Time of Flood:
Desired time interval between
successive values of results:
0.50000 sec
Saturation Temperature is:
264.51414 deg. F
** Summary of Results
** Test ID : RodD4_110
Time
(s)
0.00
0.50
1.00
1.50
2.00
2.50
3.00
3.50
4.00
4.50
5.00
8656
1.43960
1.00000
0.86384
40.00000 psi
0.00000 sec
**
**
Data
Calculated
Heat
Heat
Temp
Surface
Flux
Transfer
Temp
Coefficient
(F)
(F)
(Btu/hr.ft^2)
(Btu/hr.ft^2.F)
1290.71
1290.18
0.5879E+04
0.5731E+01
1293.43
1292.26
0.3568E+04
0.3472E+01
1296.45
1295.18
0.1908E+04
0.1851E+01
1299.65
1298.13
0.1502E+04
0.1453E+01
1303.08
1301.33
0.7332E+03
0.7072E+00
1305.71
1304.41
0.7259E+03
0.6980E+00
1309.39
1307.64
0.2868E+03
0.2749E+00
1312.12
1310.69
0.5431E+03
0.5191E+00
1315.61
1313.85
0.2996E+03
0.2855E+00
1318.33
1316.86
0.5821E+03
0.5531E+00
1321.74
1319.73
0.9626E+03
0.9123E+00
Note: The results are truncated in view of saving paper for print-out. Time results continue in
steps of 0.5 s until here. Obviously this text line will not appear in the actual output file. This file
can be opened in EXCEL or a program like notepad.
868.50
869.00
869.50
870.00
870.50
871.00
273.23
273.99
274.82
276.38
275.79
274.79
268.20
269.13
269.64
269.50
269.18
268.79
0.1270E+05
0.1178E+05
0.1211E+05
0.1314E+05
0.1375E+05
0.1408E+05
0.3448E+04
0.2549E+04
0.2364E+04
0.2636E+04
0.2949E+04
0.3289E+04
This is the end of RodD4_110
The format of input for file in1.dat has already been described in the write-up for DATARH.F.
28
What follows now is all the information pertaining to RBHT heater rods that need to be input into
the file in1.dat, used for running DATARH.F.
For each experiment, the value of NSCAN (set as 8656), PRES (set as 40), TFLOOD (set as 0)
and DT (set as 0.5) in the sample listing below, need to be changed prior to running the code to
reflect the number of values of NSCAN, the experimental pressure and time of flood.
TITLE1, RLOC, FAX, FP and FKA are fixed values for the RBHT heater rods.
Note that file in1.dat contains ONLY one line of input for each test case. Please refer to the
sample file in1.dat that has been provided.
RodB1_47.9
RodB1_63.6
RodB1_68.6
RodB1_79.7
RodB1_97.1
RodB1_114.8
RodB1_126.7
RodB1_139.4
RodD1_47.9
RodD1_63.8
RodD1_68.8
RodD1_79.9
RodD1_97.3
RodD1_115
RodD1_126.6
RodD1_139.4
RodB2_4.1
RodB2_11.2
RodB2_16.2
RodB2_23.3
RodB2_29.3
RodB2_33.3
RodB2_35.3
RodB2_38.4
RodC2_41
RodC2_53.1
RodC2_55
RodC2_57.8
RodC2_63.9
RodC2_73.8
3.2.
RodB1_47.9
RodB1_63.6
RodB1_68.6
RodB1_79.7
RodB1_97.1
RodB1_114.8
RodB1_126.7
RodB1_139.4
RodD1_47.9
RodD1_63.8
RodD1_68.8
RodD1_79.9
RodD1_97.3
RodD1_115
RodD1_126.6
RodD1_139.4
RodB2_4.1
RodB2_11.2
RodB2_16.2
RodB2_23.3
RodB2_29.3
RodB2_33.3
RodB2_35.3
RodB2_38.4
RodC2_41
RodC2_53.1
RodC2_55
RodC2_57.8
RodC2_63.9
RodC2_73.8
8656
8656
8656
8656
8656
8656
8656
8656
8656
8656
8656
8656
8656
8656
8656
8656
8656
8656
8656
8656
8656
8656
8656
8656
8656
8656
8656
8656
8656
8656
0.936
1.082
1.128
1.231
1.393
1.314
0.990
0.644
0.941
1.093
1.141
1.248
1.415
1.317
0.990
0.629
0.521
0.589
0.636
0.704
0.761
0.799
0.818
0.847
0.870
0.983
1.000
1.026
1.083
1.175
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0.859
0.866
0.867
0.869
0.867
0.867
0.860
0.816
0.859
0.866
0.867
0.869
0.867
0.867
0.860
0.816
0.792
0.811
0.822
0.835
0.843
0.847
0.849
0.852
0.854
0.862
0.863
0.864
0.866
0.868
40
40
40
40
40
40
40
40
40
40
40
40
40
40
40
40
40
40
40
40
40
40
40
40
40
40
40
40
40
40
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
Subchannel Mean Bulk Fluid Temperature
In order to calculate the local heat transfer coefficient in terms of the local bulk mean temperature
of the flow, a method based upon the analogy of momentum and heat transfer was developed to
correlate the local bulk mean temperature to the local subchannel centerline temperature, which
was measured in the experiments [5]. Steam cooling data covering a wide range of Reynolds
numbers were used to obtain a correlation factor for determining the local bulk mean
temperature.
The analogy between momentum and heat transfer is widely recognized for internal flows.
29
From this, at a given elevation of a rod bundle, the expected relationship is:
T  Tw
u

 f  
Tc  Tw u c
(3-27)
where T is the local temperature, u the local velocity, Tc the subchannel center temperature, uc
the subchannel center velocity, Tw the rod temperature, and η the dimensionless radial
coordinate (r/ro)
The local bulk mean temperature is defined as:
ro
Tb 
 uTrdr
0
ro
 urdr
(3-28)
0
where r is the measured distance from the subchannel center and r0 is the distance to the wall
(heater rod surface)
Substituting Equation (3-27) into (3-28) gives
Tb  Tw  Tc  Tw  / F
(3-29)
where F, the correlation factor, is given as:
1
F
 f  d
0
1
 f  d
2
(3-30)
0
For a given system pressure and bundle power, the local temperature profile, f(η), was measured
at various axial locations for different Reynolds numbers. The Reynolds number is based on
the local properties of steam evaluated at the local temperature. The correlation factor F was
evaluated from the steam cooling test data as shown in Figure 3-6. Also shown in the figure are
values of F obtained from the local velocity profiles reported in the literature for channel flows [6].
For turbulent flows, f(η) has been shown to satisfy a 1/n power-law relationship with n equal to 7
over a wide range of Reynolds numbers. However, for Reynolds numbers between 2300 and
5000, n has a value very close to 5. When the Reynolds number is greater than 106, the value
of n is close to 9. For Reynolds numbers below 2300, the flow becomes laminar and the
correlation factor has a value of 1.5.
The “F” method has been presented at an ANS meeting by Cheung et al. [5] and described in
detail in the thesis work of McLaughlin [11]. The uncertainty in F depends, of course, on the
uncertainty in the measured temperature profile using the steam probes as discussed in
Appendix B.
30
Figure 3-6. Variation of the Correlation Factor with the Reynolds Number.
A method based upon momentum and heat transfer analogy has been successfully developed to
correlate the local bulk mean temperature to the local subchannel centerline temperature by use
of a correlation factor. The correlation factor is a function of the Reynolds number alone, which
can be used to determine the local bulk mean temperature.
Since the subchannel center temperature is used to calculate the mean bulk fluid temperature it
is necessary to have a subchannel center temperature at every heater rod thermocouple location
in which a heat transfer coefficient is to be calculated. To accomplish this, the thirteen
subchannel center temperature measurements were plotted axially and a third order polynomial
curve fit was generated such that the center temperature could be estimated at any elevation in
the bundle. Figure 3-7 shows a sample axial plot of the subchannel centerline fluid temperature
along with the third order data fit.
31
Figure 3-7. Subchannel Center Vapor Temperature.
3.3.
Subchannel Reynolds Number
Using the calculated mean bulk fluid temperature, the steam fluid properties were found and
local subchannel Reynolds numbers were calculated along the axial length of the bundle. In
order to calculate the local Reynolds number, the subchannel mass flow is calculated, assuming
a uniform mass flow distribution of the steam through each subchannel:
m SC 
ASC
* m
Af
(3-31)
m
 is the bundle mass flow rate, Af the bundle
where SC is the subchannel mass flow rate, m
flow area, and ASC the subchannel flow area.
The local Reynolds number is a function of the hydraulic diameter. In order to calculate the
local Reynolds number in a subchannel, the local hydraulic diameter had to be calculated from
the subchannel geometry as:
DH 
4 * ASC
WPSC
(3-32)
where DH is the subchannel hydraulic diameter, and WPSC the subchannel wetted perimeter.
this case the wetted perimeter is equal to the heated perimeter of the heater rods.
In
The local Reynolds numbers were then calculated from Equation 3-33, where the properties for
32
the local viscosity of the steam are at the mean bulk temperature of the subchannel. That is:
Re( z ) 
m SC DH
ASC  ( z )
(3-33)
where Re(z) is the local subchannel Reynolds number and  the local viscosity.
3.4.
Heat Transfer Coefficient and Nusselt Number
Heat transfer coefficients and resulting Nusselt numbers are calculated at all heater rod
thermocouple locations within the inner 5x5 bundle, except for the corner rods. The rod outside
wall temperature and local heat flux are calculated by DATARH and the mean bulk fluid
temperature is found using the measured subchannel centerline vapor temperature and the heat
transfer/momentum analogy as described in Section 3.2. With these three quantities known the
heat transfer coefficient is found from:
h( z ) 
q" ( z )
Tw ( z )  Tb ( z ) 
(3-34)
where h(z) is the local heat transfer coefficient, q"(z) is the local heat flux, Tw(z) the local wall
temperature, and Tb(z) the local mean bulk temperature.
From the local heat transfer coefficient, the local Nusselt number can be calculated using the
local vapor thermal conductivity of the steam evaluated at the mean bulk temperature. The
expression for the Nusselt number becomes:
Nu ( z ) 
h( z ) DH
k v( z )
(3-35)
where Nu(z) is the local Nusselt number and kv(z) the local vapor thermal conductivity.
3.5.
Mixing Vane Grid Loss Coefficient
Pressure drop measurements were made along bare bundle lengths (no grids within the
pressure drop measurement span) and along spans that contained one or more grids using
Differential Pressure (DP) cells. Grid loss coefficients were calculated across DP spans that
contained one grid.
The measured pressure drop across a span containing a spacer grid has two components; a
single-phase frictional pressure drop caused by the bare bundle and a pressure drop related to
the grid loss coefficient:
Pmeasured  Pbare  Pgrid
(3-36)
where ∆Pmeasured is the measured pressure drop across a span containing a spacer grid, ∆Pbare is
33
the single-phase frictional pressure drop, and ∆Pgrid is the pressure drop caused by the grid itself.
The single-phase pressure drop is related to the friction factor f by:
 Pbare 
 fLV
2
(3-37)
2DH
where L is the DP span length, V the average velocity across the span, ρ the density evaluated at
the average bulk fluid temperature across the DP span, and DH the bundle hydraulic diameter.
The pressure drop created by the grid is a function of the grid loss coefficient (kgrid):
k grid  V
 Pgrid 
2
(3-38)
2
where ρ and V are the same as in Equation 3-37.
Combining Equations 3-36 through 3-38, an expression for the grid loss coefficient can be found:
 2Pmeasured  fL 

k grid  
 
2
 D H 
 V
(3-39)
Review of Equation 3-39 shows that the grid loss coefficient is a function of the measured
pressure drop, the DP span length, the bundle hydraulic diameter, the fluid density and velocity,
as well as the single-phase friction factor. In this case the frictional pressure drop is calculated
across the entire bundle length, including grids.
The bundle hydraulic diameter is easily calculated and span length is known, however,
determination of the average fluid density and velocity require an energy balance on the system.
Knowing the inlet flow conditions and the bundle power, the fluid enthalpy as a function of bundle
length is found from:
z
h( z ) 
P  P.F .( z )dz
0
m
 hinlet
(3-40)
 the inlet steam flow, P.F. the axial peaking factor shown in
where P is the bundle power, m
Figure 2-4, and hinlet the inlet enthalpy. With the fluid enthalpy known at a certain elevation, the
bundle bulk fluid temperature can be determined:
Tbulk ( z ) 
(h( z )  hinlet )
 Tinlet
Cp
(3-41)
where Cp is the fluid specific heat. For this calculation Cp is assumed constant and is evaluated
at the steam inlet temperature, and upper plenum pressure.
Using Equations 3-40 and 3-41, the enthalpy and bulk steam temperature can be calculated at
the ends of a DP span. The steam temperature is then averaged across the span and the
34
average span fluid density is found for this temperature and the specified upper plenum
pressure.
With the average fluid density known for a given DP span, the average fluid velocity across that
span is found by assuming a constant bundle flow rate:
V 
m
Af 
(3-42)
where Af is the bundle flow area and ρ the average fluid density across the DP span in question.
3.5.1
Single-Phase Friction Factor
As mentioned previously, DP measurements were made along bare bundle spans that do not
contain a spacer grid. These measurements can be used with Equation 3-37 to determine
single-phase friction factors:
f 
2Pbare DH
LV 2
(3-43)
where the variables are the same as in Equation 3-37 and the fluid density and velocity are
averaged across the span and are derived from the energy balance described above.
Figure 3-8 and Figure 3-9 below provide comparisons of the calculated friction factors from the
RBHT data to several single-phase friction factor correlations. The Blasius correlation [7] was
created for circular geometries and is valid for Reynolds numbers between 4000 and 105. The
Laminar correlation is taken from Moody [7] and is valid for Reynolds numbers below 2300. The
correlation used by TRACE V4.160 [8] is a modification of the Churchill correlation and is used
for all Reynolds numbers.
35
Friction Factor Comparison
F riction F acto r
1
0.9
Calculated
Blasius
Laminar (16/Re)
TRACE
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1
0
0
5000
10000
15000
20000
25000
Reynolds Number
Figure 3-8. Friction Factor Comparison (Full Range).
F rictio n F acto r
Friction Factor Comparison
0.1
0.09
0.08
0.07
0.06
0.05
0.04
Calculated
Blasius
Laminar (16/Re)
TRACE
0.03
0.02
0.01
0
0
5000
10000
15000
20000
Reynolds Number
Figure 3-9. Friction Factor Comparison (Zoomed in).
36
25000
Review of Figure 3-8 and Figure 3-9 reveals that the majority of the RBHT single-phase friction
factor data falls above the presented correlations. This is expected since the spacer grid acts to
disrupt the boundary layer on the heater rods such that the flow must redevelop downstream of
the grid, resulting in higher effective frictional losses. This behavior was also seen in the
separate effects single-phase pressure drop experiments used to characterize the RBHT bundle.
Due to the relatively large spread in the RBHT friction factor data and the fact that the calculated
grid loss coefficients will be used to improve the models in TRACE, the single phase friction
factors used for the grid loss coefficient calculation will be found from the correlation used by
TRACE V4.160 instead of the relationship given in Equation(3-43). This is a modified Churchill
correlation:
  8 12 
 
1

f  2    
1
.
5
  Re 
(
a

b
)

 

1 / 12
(3-44)
where:






1
a   2.457 ln
0.9

  7   0.27 
 Re

DH
 

 37530 
b

 Re 







16
(3-45)
16
(3-46)
and Re is the local bundle Reynolds number, ε the surface roughness and DH the bundle
hydraulic diameter. For the RBHT facility the ratio ε/DH was found to be 1.6x10-4 and the local
Reynolds number is found assuming a constant bundle flow rate:
Re 
m DH
A f
(3-47)
Here the viscosity is evaluated at the average steam temperature for a given DP span and the
terms DH and Af represent the bundle hydraulic diameter and bundle flow area.
37
3.5.2
Grid Loss Coefficient Results
Using the methodology described above, grid loss coefficients were calculated over a range of
local Reynolds numbers spanning from approximately 800 – 2100. Each valid steady-state
window allows a grid loss coefficient to be calculated for grids 2, 4, 5, and 6. A grid loss
coefficient was not calculated for grid 1 because it is located close to the bundle inlet. Since the
flow is not fully developed here the grid loss coefficient would be larger than expected. Loss
coefficients were not calculated for grids 3 and 7 because these grids have moved, covering one
of the DP taps which means the recorded pressure drop from these DP cells only reflects a
partial grid loss.
Grid loss coefficient results are plotted with respect to local Reynolds number and are shown in
Figure 3-10 and Figure 3-11. The results are also available in Table 3-5 which lists the loss
coefficient uncertainties as well.
Table 3-5. Calculated Grid Loss Coefficients
38
Calculated Grid Loss Coefficients
17
Grid #2
15
Grid #4
13
Grid #6
Grid #5
k_grid
11
9
7
5
3
1
0
5000
10000
15000
20000
25000
Local Bundle Reynolds Number
Figure 3-10. Calculated Grid Loss Coefficients (Full Range).
Calculated Grid Loss Coefficients
5
Grid #2
4.5
Grid #4
4
Grid #6
Grid #5
k_grid
3.5
3
2.5
2
1.5
1
0
5000
10000
15000
20000
Local Bundle Reynolds Number
Figure 3-11. Calculated Grid Loss Coefficients (Zoomed in).
39
25000
4.
SUMMARY
Steam cooling experiments have been completed in the RBHT facility. The experiments were
designed to collect quasi-steady state heat transfer data in which the working fluid was
single-phase super-heated steam. The goal of the experiments was to collect the data
necessary for the calculation of heat transfer coefficients that reflect the heat transfer
enhancement caused by mixing vane grids. To accomplish this, heater rods were instrumented
axially with thermocouples upstream and downstream of mixing vane grids. Steam
temperatures were measured axially at subchannel centers and a method based on the
momentum/heat transfer analogy was developed to relate the measured subchannel center
temperature to the mean bulk steam temperature.
The results of the heat transfer coefficient calculations are contained in Appendix A. The
results are broken down by steady state window. From twelve experiments, thirty-five steady
state windows have been deemed valid. Each steady state window has its own summary of
conditions contained in Appendix A as well as critical instrument plots to show steady state has
been reached. Heat transfer coefficients are calculated at every heater rod thermocouple
location within the inner 5x5 bundle, excluding the corner rods. The results of an uncertainty
analysis on the calculated heat transfer coefficients is also contained in the heat transfer tables.
One should note that the heat transfer coefficients presented here are not “true” convective heat
transfer coefficients since they were calculated using experimental measurements that reflect
both convective and radiative heat transfer.
Along with collecting the measurements used for the heat transfer coefficient calculations,
detailed axial pressure drop measurements were also made. These pressure drop
measurements were made across both bare bundle spans and across spans that contain a
mixing vane grid. The bare bundle span measurements were used to calculate single-phase
friction factors and the spans that contained a mixing vane grid were used to calculate grid loss
coefficients. The results of these calculations are shown in Table 3-5 and the grid loss
coefficients are tabulated with the local bundle Reynolds number and the results of a grid loss
coefficient uncertainty analysis. The table shows that the uncertainty increases substantially as
the flow rate decreases. The grid loss coefficients are also plotted as a function of local bundle
Reynolds number as shown in Figure 3-10 and Figure 3-11.
41
5.
REFERENCES
1.
E. R. Rosal, T. F. Lin, I. S. McClellan, L. E. Hochreiter, F. B. Cheung, "The
Pennsylvania State University and U.S. Nuclear Regulatory Commission Rod Bundle
Heat Transfer Facility," Proceedings 6th ASME-JSME Joint Thermal Engineering
Conference, Paper No. TED-AJ03-625, March 2003.
2.
C. Frepoli, A.J. Andrew, L.E Hochreiter, and F.B. Cheung, "RBHT Steam Cooling and
Droplet Injection Pre-test Analysis Using COBRA-TF," Proceedings 2001 IMECE, New
York, NY, November 2001.
3.
C. Frepoli, L. E. Hochreiter, J. Mahaffy, and F. B. Cheung, “A Noding Sensitivity
Analysis Using COBRA-TF and the Effect of Spacer Grids During Core Reflood,”
Proceedings of the 8th International Conference on Nuclear Engineering, Paper No.
8711, April 2000.
4.
Lee, N., Wong, S., Yeh, H.C., and Hochreiter, L.E., ‘PWR FLECHT-SEASET
Unblocked Bundle, Forced and Gravity Reflood Task Data Evaluation and Analysis
Report’ WCAP-9891, February 1982.
5.
F. B. Cheung, D. M. McLaughlin, J. P. Spring, L. E. Hochrieter, “Correlation Factor for
Determining the Local Bulk Mean Temperature in a Sub-channel.” Trans. ANS, Vol. 93.
Winter Meeting, Washington D.C. Nov. 2005.
6.
L. C. Burmeister, Convection Heat Transfer, Wiley, New York, 1993.
7.
F. M. White, Fluid Mechanics, 3rd Edition. McGraw-Hill, Inc. 1994.
8.
S.W. Churchill, "Friction Factor Equations Spans All Fluid-Flow Regimes." Chemical Eng.,
November, 91-92, 1977.
9.
Reinhardt, H. J., “Analysis of the discrete Beck method of solving ill-posed parabolic
equations”, Inverse Problems, 10 (1994), pp. 1345-1360.
10.
Lee, N., Wong, S., Yeh, H.C., and Hochreiter, L.E., “PWR FLECHT SEASET Unblocked
Bundle, Forced and Gravity Reflood Task Data Report Volume 1”, WCAP-9891, February
1982.
11.
McLaughlin, D. M. “Rod Bundle Heat Transfer Facility Steam Cooling Experiments,”
M.S. Thesis, The Pennsylvania State University, 2005.
43
Appendix A.
Heat Transfer Reduced Data
This appendix contains the data acquired in 12 RBHT steam cooling tests containing
a total of 35 valid steady state windows. For each steady state window, the following
plots and tables are included:

Summary and comment sheet – lists the as-run conditions,
presents the axial subchannel center steam temperature polynomial
curve-fit equations used for data reduction, and notes any traversing
operations made by the subchannel steam probe rakes.

Critical instrument plots – verifies steady state was reached and
maintained for boundary conditions and selected heater rod and
steam temperature measurements. The following experimental data
is plotted over the steady state time window:
1.
2.
3.
4.
5.
6.
7.

inlet and exhaust steam flow rates
inlet steam temperature
bundle power
upper plenum pressure
selected steam probe rake temperatures
selected heat rod temperatures
axial subchannel center steam temperature profiles
Data tables – tabulations of the following:
1. steam probe rake thermocouple positions and temperature
measurements
2. reduced data from DATARH, bulk steam temperature, heat
transfer coefficient, and local Reynolds number calculations.
Reduced heat transfer data is presented at all heater rod thermocouple locations
within the inner 5x5 bundle, excluding the corner rods. That is, 21 rods totaling 130
thermocouple locations.
The results are organized by heat rod location and most
heater rods have 8 thermocouples instrumented at various axial locations. Figure
below provides the heat rod and subchannel identification diagram which indicates
the location of heater rods within the bundle.
A-1
Figure A-1. Heater Rod and Subchannel Identification Diagram.
A-2
RBHT Steam Cooling Test SC-3163-A
Matrix test # 4
Test date – 3/15/2005
Steady state time window: 25920 - 26520 sec
Inlet flow: 1.35 m3/min (47.6 ft3/min)
Inlet steam temperature: 408 K (275 °F)
Upper plenum pressure: 271.7 kPa (39.4 psia)
Bundle power: 29.9 kW
Outlet steam temperature: 790 K (963 °F)
Bundle inlet Reynolds number: 5413
Subchannel Centerline Temperatures
The equations below were correlated using the axial subchannel centerline temperature
distribution.
Subchannels D5 and E5 (use for inner 3x3 rod bundle thermocouple locations)
Tcl = -16.388x3 + 100.57x2 - 49.17x + 436.12
Subchannel C5 (use for 5x5 peripheral rod bundle thermocouple locations)
Tcl = -8.9366x3 + 58.937x2 + 6.0702x + 417.72
where x is the elevation (m) and Tcl is in (K)
A-3
A-4
A-5
A-6
A-7
A-8
Subchannels D5 and E5 Axial Temperature Profile
y = -16.388x3 + 100.57x2 - 49.17x + 436.12
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
2.5
3
3.5
4
3.5
4
Elevation (m)
Subchannel C5 Axial Temperature Profile
2
3
y = -8.9366x + 58.937x + 6.0702x + 417.72
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
Elevation (m )
A-9
2.5
3
A-10
241
242
243
244
245
246
247
248
201
202
204
205
208
193
194
195
196
197
198
199
200
RodE4_88.4
RodE4_91.2
RodE4_95.3
RodE4_100.9
RodE4_142.3
RodE3_63.4
RodE3_113.6
RodE3_115.5
RodE3_118.5
RodE3_122.7
RodE3_126.5
RodE3_131.7
RodE3_135.6
233
234
235
236
237
238
239
240
RodC4_88.4
RodC4_91.1
RodC4_93.4
RodC4_95.3
RodC4_100.1
RodC4_106.1
RodC4_110
RodC4_142.2
RodD4_88.3
RodD4_91.3
RodD4_93.2
RodD4_95.2
RodD4_100.1
RodD4_106.1
RodD4_110
RodD4_142.1
Channel
Number
185
186
187
188
189
190
191
192
H.R.
Location
RodD3_88.3
RodD3_91.3
RodD3_93.1
RodD3_95.3
RodD3_100.1
RodD3_106.1
RodD3_110
RodD3_142.1
1.610
2.885
2.934
3.010
3.117
3.213
3.345
3.444
2.245
2.316
2.421
2.563
3.614
2.243
2.319
2.367
2.418
2.543
2.695
2.794
3.609
2.245
2.314
2.372
2.421
2.543
2.695
2.794
3.612
Elevation
(m)
2.243
2.319
2.365
2.421
2.543
2.695
2.794
3.609
0.417
0.022
0.070
0.146
0.253
0.349
-0.046
0.053
-0.003
0.069
0.173
0.315
0.224
-0.005
0.071
0.119
0.170
0.295
0.447
0.546
0.218
-0.003
0.066
0.124
0.173
0.295
0.447
0.546
0.221
Zgrid
(m)
-0.005
0.071
0.117
0.173
0.295
0.447
0.546
0.218
628.3
786.4
797.6
808.5
817.3
819.5
805.8
810.5
689.3
714.4
741.9
766.6
820.8
695.2
721.0
734.6
746.6
770.4
789.9
780.9
828.4
688.9
714.1
728.5
742.2
766.6
789.5
779.2
828.6
H.R.Tw
(K)
687.0
716.6
730.7
745.1
769.5
792.1
785.3
817.4
6587.6
8120.8
7811.5
7331.2
6654.8
6045.2
5224.7
4589.5
7959.9
8111.6
8336.7
8643.2
3234.4
8080.7
8250.2
8358.9
8473.9
8758.6
9103.4
8793.8
3200.7
8112.3
8268.6
8400.2
8510.5
8787.3
9131.2
8839.6
3309.5
H.R. q''
(W/m2)
8017.7
8186.1
8288.9
8413.7
8688.1
9028.0
8918.1
3051.9
549.3
737.8
743.6
752.3
763.6
772.8
783.6
790.2
647.2
658.2
673.9
694.8
798.4
646.8
658.6
665.9
673.5
691.9
713.2
726.4
798.2
647.2
657.8
666.7
673.9
691.9
713.2
726.4
798.3
Tcl
(K)
646.8
658.6
665.5
673.9
691.9
713.2
726.4
798.2
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
Correction
Factor
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
566.2
748.2
755.2
764.4
775.1
782.8
788.3
794.5
656.2
670.2
688.5
710.2
803.2
657.2
671.9
680.6
689.2
708.7
729.7
738.1
804.7
656.1
669.8
679.9
688.5
707.9
729.6
737.7
804.8
Tbulk
(K)
655.4
671.0
679.5
689.2
708.5
730.1
739.0
802.3
4217
3058
3026
2986
2940
2908
2886
2861
3549
3464
3359
3243
2827
3543
3454
3403
3355
3250
3145
3105
2821
3549
3466
3407
3359
3255
3145
3107
2821
3554
3459
3410
3355
3251
3143
3101
2830
Re (z)
Table SC-3163-A.1: Summary of Steam Cooling Data
106.11
213.02
184.03
166.24
157.76
164.68
298.25
287.21
241.00
183.41
156.15
153.25
183.94
212.70
168.25
154.82
147.54
141.99
151.15
205.13
135.06
247.99
186.96
172.98
158.73
149.67
152.38
213.07
139.19
h(z)
(W/m2-K)
253.87
179.30
161.91
150.51
142.48
145.78
192.67
202.11
7.14
15.46
13.06
11.71
11.18
12.00
29.11
29.58
18.14
12.95
10.72
10.46
18.10
15.38
11.61
10.54
9.97
9.52
10.16
14.50
11.54
18.60
13.10
11.94
10.80
10.08
10.24
15.12
11.76
±σhtc
(W/m2-K)
19.30
12.55
11.14
10.24
9.60
9.81
13.37
22.06
6.73%
7.26%
7.10%
7.04%
7.09%
7.29%
9.76%
10.30%
7.53%
7.06%
6.87%
6.82%
9.84%
7.23%
6.90%
6.81%
6.76%
6.71%
6.72%
7.07%
8.55%
7.50%
7.01%
6.90%
6.81%
6.73%
6.72%
7.10%
8.45%
Fractional
Uncertainty
7.60%
7.00%
6.88%
6.80%
6.74%
6.73%
6.94%
10.92%
29.05
39.17
33.39
29.64
27.56
28.36
50.85
48.41
53.55
39.54
32.38
30.39
30.52
47.17
36.14
32.64
30.55
28.24
28.82
38.47
22.35
55.12
40.34
36.53
32.91
29.82
29.06
39.99
23.03
56.51
38.59
34.22
31.17
28.35
27.77
36.07
33.59
Nu(z)
A-11
209
210
211
212
213
214
215
216
177
178
179
180
181
182
183
217
218
219
220
221
222
223
224
RodE5_63.6
RodE5_113.6
RodE5_115.4
RodE5_118.7
RodE5_122.6
RodE5_126.6
RodE5_131.6
RodE5_135.6
RodC3_79.8
RodC3_85.6
RodC3_88.5
RodC3_92.4
RodC3_94.4
RodC3_97.2
RodC3_108.8
RodD5_50
RodD5_54.1
RodD5_56.9
RodD5_60
RodD5_66.1
RodD5_69.9
RodD5_72.9
RodD5_74.9
1.270
1.374
1.445
1.524
1.679
1.775
1.852
1.902
2.027
2.174
2.248
2.347
2.398
2.469
2.764
1.615
2.885
2.931
3.015
3.114
3.216
3.343
3.444
Channel Elevation
Number
(m)
225
1.618
226
2.885
227
2.939
229
3.117
230
3.218
231
3.343
232
3.447
H.R.
Location
RodC5_63.7
RodC5_113.6
RodC5_115.7
RodC5_122.7
RodC5_126.7
RodC5_131.6
RodC5_135.7
0.076
0.180
0.251
0.330
0.485
-0.025
0.051
0.102
0.227
0.374
0.000
0.099
0.150
0.221
0.516
0.422
0.022
0.067
0.151
0.250
0.352
-0.048
0.053
Zgrid
(m)
0.424
0.022
0.075
0.253
0.354
-0.048
0.056
574.0
597.5
610.3
622.1
636.1
619.6
646.6
661.0
670.9
680.3
684.6
717.2
727.7
746.7
787.9
626.3
774.8
785.0
795.3
803.3
808.3
798.9
806.7
H.R.Tw
(K)
631.2
780.9
795.3
817.5
821.0
810.5
817.6
5855.8
6085.5
6243.3
6419.3
6762.4
6978.8
7142.1
7252.9
7502.6
7825.4
7987.4
8205.1
8316.8
8475.5
8931.3
6626.2
8170.0
7883.3
7360.6
6742.6
6110.9
5332.2
4691.5
H.R. q''
(W/m2)
6470.1
7919.8
7597.2
6529.5
5918.6
5181.8
4547.6
502.3
515.9
525.6
536.8
559.5
574.1
585.8
593.7
613.2
636.2
647.6
662.8
670.5
681.1
722.4
550.0
737.8
743.3
752.9
763.4
773.0
783.4
790.2
Tcl
(K)
550.4
737.8
744.2
763.6
773.2
783.4
790.3
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
Correction
Factor
1.27
1.27
1.27
1.27
1.27
1.27
1.27
517.7
533.4
543.8
555.0
575.9
583.9
598.8
608.1
625.5
645.6
655.5
674.5
682.7
695.1
736.4
566.4
745.8
752.3
762.0
771.9
780.6
786.7
793.7
Tbulk
(K)
567.7
747.1
755.2
775.1
783.5
789.2
796.2
4691
4527
4424
4318
4133
4067
3947
3877
3751
3616
3553
3439
3391
3322
3113
4215
3069
3039
2996
2954
2917
2892
2864
4204
3063
3026
2940
2905
2882
2854
Re (z)
Table SC-3163-A.1: Summary of Steam Cooling Data (cont.)
103.88
94.98
93.86
95.73
112.38
195.10
149.66
137.20
165.33
225.71
274.99
192.11
185.02
164.52
173.57
110.59
281.31
240.57
220.74
214.86
220.37
436.41
360.85
h(z)
(W/m2-K)
101.98
234.23
189.35
154.16
157.64
243.35
212.28
7.05
6.36
6.27
6.39
7.57
14.29
10.38
9.40
11.60
16.76
21.50
13.63
13.01
11.33
11.95
7.45
21.95
18.08
16.49
16.30
17.36
53.95
42.57
±σhtc
(W/m2-K)
6.91
17.65
13.71
11.00
11.49
21.47
18.62
6.78%
6.70%
6.68%
6.67%
6.74%
7.32%
6.93%
6.85%
7.02%
7.42%
7.82%
7.10%
7.03%
6.89%
6.88%
6.74%
7.80%
7.52%
7.47%
7.58%
7.88%
12.36%
11.80%
Fractional
Uncertainty
6.77%
7.54%
7.24%
7.13%
7.29%
8.82%
8.77%
32.11
28.21
27.16
26.94
30.05
51.18
37.89
33.98
39.34
51.34
61.20
41.04
38.84
33.65
32.66
30.27
51.97
43.89
39.53
37.76
38.11
74.62
60.91
27.82
43.17
34.35
26.93
27.12
41.42
35.67
Nu(z)
A-12
Channel
Number
153
154
155
156
157
158
159
160
105
106
107
108
109
110
111
112
57
58
59
60
61
62
63
64
137
138
139
140
141
142
143
144
H.R.
Location
RodB5_41
RodB5_52.9
RodB5_55
RodB5_57.8
RodB5_64
RodB5_73.9
RodB5_75.9
RodB5_76.9
RodF5_41
RodF5_53.1
RodF5_55
RodF5_57.8
RodF5_64
RodF5_73.8
RodF5_75.8
RodF5_76.8
RodC2_41
RodC2_53.1
RodC2_55
RodC2_57.8
RodC2_63.9
RodC2_73.8
RodC2_75.8
RodC2_76.8
RodC6_40.9
RodC6_52.8
RodC6_54.8
RodC6_57.8
RodC6_63.8
RodC6_73.7
RodC6_75.8
RodC6_76.8
1.039
1.341
1.392
1.468
1.621
1.872
1.925
1.951
1.041
1.349
1.397
1.468
1.623
1.875
1.925
1.951
1.041
1.349
1.397
1.468
1.626
1.875
1.925
1.951
Elevation
(m)
1.041
1.344
1.397
1.468
1.626
1.877
1.928
1.953
0.340
0.147
0.198
0.274
0.427
0.072
0.125
0.150
0.343
0.155
0.203
0.274
0.429
0.074
0.125
0.150
0.343
0.155
0.203
0.274
0.432
0.074
0.125
0.150
Zgrid
(m)
0.343
0.150
0.203
0.274
0.432
0.077
0.128
0.153
555.4
588.9
598.5
611.6
629.9
650.3
661.1
667.2
548.1
587.5
595.7
607.4
623.3
636.5
647.6
652.0
550.9
582.2
591.5
603.0
620.2
635.8
648.6
654.0
H.R.Tw
(K)
553.8
586.2
594.5
607.0
625.5
646.9
659.5
664.6
5298.2
6001.1
6119.7
6296.2
6653.4
7236.1
7358.7
7418.2
5321.0
6004.5
6112.3
6270.4
6616.5
7179.2
7296.3
7354.2
5290.7
5971.7
6079.5
6238.1
6591.3
7147.9
7261.1
7317.9
H.R. q''
(W/m2)
5337.4
6009.9
6128.8
6288.1
6640.4
7200.9
7314.2
7370.5
477.6
510.3
516.3
525.4
544.3
577.0
584.1
587.5
477.9
511.2
516.9
525.4
544.6
577.3
584.1
587.5
477.9
511.2
516.9
525.4
544.9
577.3
584.1
587.5
Tcl
(K)
477.9
510.6
516.9
525.4
544.9
577.7
584.4
587.8
1.20
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.20
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.20
1.27
1.27
1.27
1.27
1.27
1.27
1.27
Correction
Factor
1.20
1.27
1.27
1.27
1.27
1.27
1.27
1.27
490.6
527.1
533.9
543.8
562.6
592.7
600.6
604.6
489.6
527.5
533.7
543.0
561.5
590.0
597.7
601.3
490.0
526.4
532.8
542.0
561.1
589.8
597.9
601.7
Tbulk
(K)
490.5
526.8
533.5
542.9
562.2
592.5
600.5
604.3
5003.2
4591.0
4521.8
4423.4
4248.6
3995.6
3934.1
3903.8
5015.7
4586.8
4523.2
4432.0
4259.1
4017.0
3956.3
3928.4
5009.9
4598.5
4532.3
4441.1
4262.7
4018.3
3954.8
3925.2
5004.0
4594.4
4525.8
4432.8
4252.5
3997.1
3934.6
3906.0
Re (z)
Table SC-3163-A.1: Summary of Steam Cooling Data (cont.)
81.69
97.22
94.64
92.97
98.88
125.62
121.64
118.46
90.92
100.13
98.61
97.24
107.03
154.29
146.19
145.03
86.90
106.98
103.62
102.22
111.40
155.69
143.35
140.06
h(z)
(W/m2-K)
84.36
101.11
100.44
98.02
104.88
132.30
123.97
122.23
4.79
6.54
6.34
6.20
6.59
8.50
8.18
7.94
5.40
6.76
6.64
6.52
7.20
10.75
10.08
10.00
5.15
7.30
7.03
6.90
7.54
10.89
9.90
9.64
±σhtc
(W/m2-K)
4.95
6.83
6.76
6.57
7.03
9.01
8.39
8.25
5.87%
6.73%
6.70%
6.67%
6.66%
6.76%
6.73%
6.70%
5.94%
6.75%
6.73%
6.71%
6.73%
6.97%
6.89%
6.89%
5.93%
6.82%
6.78%
6.75%
6.77%
6.99%
6.91%
6.88%
Fractional
Uncertainty
5.87%
6.75%
6.73%
6.70%
6.71%
6.81%
6.76%
6.75%
27.06
29.34
28.07
26.90
27.31
32.27
30.67
29.59
30.19
30.18
29.26
28.20
29.64
39.88
37.11
36.50
28.82
32.34
30.82
29.71
30.89
40.26
36.37
35.22
27.95
30.53
29.83
28.43
29.00
34.00
31.26
30.55
Nu(z)
A-13
Channel
Number
161
162
163
164
165
166
167
168
98
99
100
101
102
103
104
65
66
67
68
69
70
71
72
129
130
131
132
133
134
135
136
H.R.
Location
RodB4_88.4
RodB4_91.3
RodB4_93.3
RodB4_95.1
RodB4_100
RodB4_106
RodB4_109.9
RodB4_142.3
RodF4_85.6
RodF4_88.4
RodF4_92.4
RodF4_94.3
RodF4_97.2
RodF4_108.8
RodF4_111
RodD2_103.2
RodD2_106
RodD2_112.6
RodD2_114.9
RodD2_117.4
RodD2_120.8
RodD2_124.8
RodD2_128.6
RodD6_103.1
RodD6_106
RodD6_112.9
RodD6_114.9
RodD6_116.8
RodD6_120.9
RodD6_124.8
RodD6_128.7
2.619
2.692
2.868
2.918
2.967
3.071
3.170
3.269
2.621
2.692
2.860
2.918
2.982
3.068
3.170
3.266
2.174
2.245
2.347
2.395
2.469
2.764
2.819
Elevation
(m)
2.245
2.319
2.370
2.416
2.540
2.692
2.791
3.614
0.371
0.445
0.004
0.055
0.103
0.207
0.306
0.405
0.373
0.445
-0.004
0.055
0.118
0.204
0.306
0.403
0.374
-0.003
0.099
0.147
0.221
0.516
-0.044
Zgrid
(m)
-0.003
0.071
0.122
0.168
0.292
0.445
0.544
0.224
762.2
769.5
759.5
773.5
784.2
794.5
801.7
804.8
759.5
769.6
761.7
778.9
786.4
795.8
801.4
802.2
675.8
678.2
712.2
725.2
741.7
774.4
763.4
H.R.Tw
(K)
684.0
711.5
724.4
735.1
754.1
776.5
767.7
817.7
8895.4
9057.0
8270.5
7923.7
7595.6
6898.0
6232.5
5568.3
8872.3
9032.4
8289.4
7899.0
7474.5
6897.5
6223.7
5583.5
7848.9
8006.6
8228.0
8333.9
8495.7
8965.9
8602.7
H.R. q''
(W/m2)
7958.4
8115.3
8222.6
8320.8
8588.9
8915.7
8632.8
3285.8
677.3
686.9
709.1
715.3
721.1
733.4
744.5
755.2
677.6
686.9
708.1
715.3
722.9
733.1
744.5
754.9
617.7
627.3
641.1
647.6
657.5
696.0
703.0
Tcl
(K)
627.3
637.3
644.2
650.3
666.9
686.9
699.5
787.6
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
Correction
Factor
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
695.5
704.6
719.8
727.8
734.6
746.4
756.8
765.8
695.2
704.6
719.6
728.9
736.5
746.5
756.7
765.1
630.1
638.2
656.3
664.2
675.5
712.8
716.0
Tbulk
(K)
639.5
653.2
661.3
668.5
685.6
706.1
714.1
794.1
3320.5
3271.8
3193.4
3154.4
3121.2
3065.9
3019.2
2979.6
3322.2
3271.8
3194.8
3148.8
3112.2
3065.7
3019.5
2982.9
3719.7
3665.0
3548.4
3499.9
3432.8
3229.2
3213.0
3656.8
3567.9
3517.4
3474.2
3375.0
3264.0
3222.3
2862.7
Re (z)
Table SC-3163-A.1: Summary of Steam Cooling Data (cont.)
133.38
139.49
208.78
173.11
153.09
143.58
138.60
142.93
137.93
138.97
196.98
158.11
149.82
139.87
139.24
150.15
171.96
200.34
147.21
136.58
128.30
145.49
181.38
h(z)
(W/m2-K)
178.83
139.13
130.46
124.84
125.33
126.57
161.12
139.09
8.90
9.33
15.01
12.12
10.59
9.99
9.75
10.34
9.24
9.30
14.01
10.94
10.37
9.70
9.81
10.98
12.05
14.38
10.03
9.21
8.59
9.79
12.61
±σhtc
(W/m2-K)
12.61
9.45
8.80
8.38
8.39
8.46
11.09
11.79
6.67%
6.69%
7.19%
7.00%
6.92%
6.96%
7.04%
7.24%
6.70%
6.69%
7.11%
6.92%
6.92%
6.94%
7.05%
7.31%
7.00%
7.18%
6.81%
6.75%
6.70%
6.73%
6.95%
Fractional
Uncertainty
7.05%
6.80%
6.74%
6.71%
6.70%
6.69%
6.88%
8.47%
27.26
27.98
40.60
33.14
28.91
26.49
25.07
25.41
28.21
27.87
38.33
30.20
28.18
25.81
25.19
26.73
40.50
46.33
32.71
29.83
27.35
28.70
35.55
41.24
31.12
28.67
27.01
26.15
25.31
31.69
23.46
Nu(z)
A-14
Channel
Number
73
74
75
76
77
78
79
80
169
170
171
172
173
174
175
176
89
90
91
92
93
94
95
96
121
122
123
124
125
126
127
128
H.R.
Location
RodE2_50.1
RodE2_54
RodE2_56.9
RodE2_59.9
RodE2_66
RodE2_69.8
RodE2_72.9
RodE2_74.9
RodB3_50.2
RodB3_54.1
RodB3_56.9
RodB3_60.1
RodB3_66.1
RodB3_69.9
RodB3_73
RodB3_75
RodF3_50.1
RodF3_54
RodF3_57
RodF3_60
RodF3_66.1
RodF3_70
RodF3_73
RodF3_75
RodE6_50.2
RodE6_54.1
RodE6_57
RodE6_60.2
RodE6_66.1
RodE6_70
RodE6_73.1
RodE6_75
1.275
1.374
1.448
1.529
1.679
1.778
1.857
1.905
1.273
1.372
1.448
1.524
1.679
1.778
1.854
1.905
1.275
1.374
1.445
1.527
1.679
1.775
1.854
1.905
Elevation
(m)
1.273
1.372
1.445
1.521
1.676
1.773
1.852
1.902
0.081
0.180
0.254
0.335
0.485
-0.022
0.056
0.105
0.079
0.178
0.254
0.330
0.485
-0.022
0.054
0.105
0.081
0.180
0.251
0.333
0.485
-0.025
0.054
0.105
Zgrid
(m)
0.079
0.178
0.251
0.328
0.483
-0.027
0.051
0.102
567.7
587.5
598.6
610.6
623.5
608.8
632.6
645.1
569.1
590.7
603.5
615.3
622.4
608.7
633.0
647.1
562.6
578.3
588.0
597.3
618.3
606.3
632.2
645.1
H.R.Tw
(K)
566.2
588.2
600.8
613.7
625.7
607.3
631.0
642.5
5841.3
6059.4
6221.3
6402.3
6734.8
6956.5
7123.7
7230.8
5832.7
6058.9
6232.0
6405.6
6761.7
6990.2
7164.6
7280.5
5849.6
6071.0
6228.5
6411.5
6750.3
6969.5
7141.6
7254.2
H.R. q''
(W/m2)
5866.5
6090.1
6257.2
6431.7
6784.2
7007.0
7181.8
7295.8
502.8
514.2
522.9
532.9
551.8
564.6
575.0
581.4
502.5
513.9
522.9
532.2
551.8
564.6
574.6
581.4
502.8
514.2
522.6
532.5
551.8
564.3
574.6
581.4
Tcl
(K)
502.5
513.9
522.6
531.9
551.4
563.9
574.3
581.0
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
Correction
Factor
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
516.7
529.9
539.1
549.5
567.1
574.1
587.3
595.0
516.7
530.3
540.2
550.0
566.9
574.0
587.1
595.5
515.6
527.9
536.6
546.4
566.0
573.3
587.0
595.0
Tbulk
(K)
516.1
529.8
539.4
549.4
567.3
573.2
586.4
594.2
4702.3
4562.7
4469.4
4369.2
4209.0
4148.7
4038.7
3977.2
4701.6
4558.0
4459.1
4364.4
4211.0
4148.9
4040.2
3973.9
4714.3
4583.0
4494.3
4398.8
4218.7
4155.5
4041.4
3977.3
4708.3
4563.6
4467.2
4370.1
4207.0
4155.9
4045.7
3983.7
Re (z)
Table SC-3163-A.1: Summary of Steam Cooling Data (cont.)
114.49
105.13
104.61
104.72
119.51
200.17
157.39
144.49
111.47
100.32
98.42
98.10
121.79
201.63
156.31
141.06
124.45
120.41
121.22
126.05
129.09
210.94
157.77
145.00
h(z)
(W/m2-K)
117.20
104.29
101.87
100.11
116.23
205.51
161.11
151.12
7.88
7.13
7.07
7.06
8.12
14.78
11.02
9.97
7.65
6.77
6.61
6.57
8.28
14.88
10.90
9.66
8.66
8.29
8.33
8.67
8.84
15.77
11.03
9.99
±σhtc
(W/m2-K)
8.07
7.04
6.84
6.70
7.84
15.21
11.27
10.44
6.88%
6.78%
6.76%
6.74%
6.80%
7.39%
7.00%
6.90%
6.86%
6.75%
6.71%
6.69%
6.80%
7.38%
6.97%
6.85%
6.96%
6.89%
6.87%
6.88%
6.85%
7.48%
6.99%
6.89%
Fractional
Uncertainty
6.88%
6.75%
6.72%
6.69%
6.75%
7.40%
6.99%
6.91%
35.48
31.50
30.62
29.88
32.65
53.76
40.95
36.91
34.53
30.03
28.74
27.95
33.29
54.16
40.68
36.00
38.67
36.26
35.71
36.24
35.36
56.77
41.08
37.04
36.37
31.26
29.81
28.57
31.73
55.31
42.00
38.68
Nu(z)
RBHT Steam Cooling Test SC-3163-B
Matrix test # 5
Test date – 3/15/2005
Steady state time window: 27300 - 27600 sec
Inlet flow: 1.80 m3/min (63.5 ft3/min)
Inlet steam temperature: 409 K (277 °F)
Upper plenum pressure: 272.3 kPa (39.5 psia)
Bundle power: 39.2 kW
Outlet steam temperature: 805 K (990 °F)
Bundle inlet Reynolds number: 7184
Subchannel Centerline Temperatures
The equations below were correlated using the axial subchannel centerline temperature
distribution.
Subchannels D5 and E5 (use for inner 3x3 rod bundle thermocouple locations)
Tcl = -16.261x3 + 100.93x2 - 49.657x + 438.59
Subchannel C5 (use for 5x5 peripheral rod bundle thermocouple locations)
Tcl = -9.6585x3 + 64.419x2 - 2.3145x + 422.76
where x is the elevation (m) and Tcl is in (K)
A-15
A-16
A-17
A-18
A-19
A-20
Subchannels D5 and E5 Axial Temperature Profile
y = -16.261x3 + 100.93x2 - 49.657x + 438.59
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
2.5
3
3.5
4
3
3.5
4
Elevation (m)
Subchannel C5 Axial Temperature Profile
2
y = -9.6585x3 + 64.419x - 2.3145x + 422.76
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
Elevation (m)
A-21
2.5
A-22
241
242
243
244
245
246
247
248
201
202
204
205
208
193
194
195
196
197
198
199
200
RodE4_88.4
RodE4_91.2
RodE4_95.3
RodE4_100.9
RodE4_142.3
RodE3_63.4
RodE3_113.6
RodE3_115.5
RodE3_118.5
RodE3_122.7
RodE3_126.5
RodE3_131.7
RodE3_135.6
233
234
235
236
237
238
239
240
RodC4_88.4
RodC4_91.1
RodC4_93.4
RodC4_95.3
RodC4_100.1
RodC4_106.1
RodC4_110
RodC4_142.2
RodD4_88.3
RodD4_91.3
RodD4_93.2
RodD4_95.2
RodD4_100.1
RodD4_106.1
RodD4_110
RodD4_142.1
Channel
Number
185
186
187
188
189
190
191
192
H.R.
Location
RodD3_88.3
RodD3_91.3
RodD3_93.1
RodD3_95.3
RodD3_100.1
RodD3_106.1
RodD3_110
RodD3_142.1
1.610
2.885
2.934
3.010
3.117
3.213
3.345
3.444
2.245
2.316
2.421
2.563
3.614
2.243
2.319
2.367
2.418
2.543
2.695
2.794
3.609
2.245
2.314
2.372
2.421
2.543
2.695
2.794
3.612
Elevation
(m)
2.243
2.319
2.365
2.421
2.543
2.695
2.794
3.609
0.417
0.022
0.070
0.146
0.253
0.349
-0.046
0.053
-0.003
0.069
0.173
0.315
0.224
-0.005
0.071
0.119
0.170
0.295
0.447
0.546
0.218
-0.003
0.066
0.124
0.173
0.295
0.447
0.546
0.221
Zgrid
(m)
-0.005
0.071
0.117
0.173
0.295
0.447
0.546
0.218
642.6
804.2
817.0
828.0
836.6
837.7
818.8
826.4
702.3
731.0
760.8
787.3
836.0
708.0
737.7
752.1
764.3
787.7
808.9
796.2
844.8
701.6
729.8
744.2
758.8
783.8
809.0
794.2
846.1
H.R. Tw
(K)
699.9
733.8
748.7
763.6
788.5
812.5
801.4
833.9
8608.1
10610.6
10209.7
9587.1
8705.3
7910.7
6837.0
6007.7
10395.1
10594.2
10888.5
11292.5
4234.2
10550.7
10773.8
10917.1
11066.2
11442.0
11890.4
11488.4
4194.5
10594.6
10793.9
10968.6
11114.0
11479.8
11934.4
11554.4
4336.6
H.R. q''
2
(W/m )
10475.2
10694.5
10830.9
10990.7
11354.7
11798.7
11657.3
3997.0
552.5
745.0
751.0
760.1
772.0
781.7
793.2
800.5
651.9
663.0
679.2
700.6
809.9
651.5
663.4
670.9
678.8
697.5
719.5
733.1
809.7
651.9
662.6
671.7
679.2
697.5
719.5
733.1
809.8
Tcl
(K)
651.5
663.4
670.6
679.2
697.5
719.5
733.1
809.7
1.20
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
Correction
Factor
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
567.5
757.7
765.1
774.7
785.8
793.7
798.7
806.1
662.7
677.6
696.6
719.1
815.5
663.6
679.4
688.3
697.1
716.9
738.7
746.6
817.2
662.5
677.0
687.3
696.2
716.0
738.7
746.2
817.5
Tbulk
(K)
661.9
678.5
687.3
697.2
717.0
739.5
747.7
814.9
5600
4015
3971
3917
3856
3814
3788
3750
4673
4555
4413
4257
3702
4665
4541
4474
4410
4272
4131
3694
3694
4674
4559
4482
4416
4278
4130
4084
3692
4679
4548
4482
4409
4271
4126
4075
3706
Re (z)
Table SC-3163-B.1: Summary of Steam Cooling Data
114.57
227.99
197.05
179.67
171.33
179.50
340.20
295.23
262.39
198.50
169.69
165.56
206.47
237.39
184.52
171.25
164.56
161.45
169.36
231.53
151.90
270.91
204.48
192.53
177.64
169.43
169.77
240.48
152.11
h (z)
2
(W/m -K)
275.03
193.53
176.38
165.63
158.93
161.44
217.12
209.78
5.77
14.61
12.39
11.23
10.78
11.58
29.37
25.29
17.43
12.44
10.39
10.07
17.77
15.30
11.37
10.44
9.97
9.73
10.22
14.63
11.41
17.97
12.77
11.89
10.84
10.25
10.23
15.26
11.20
±σhtc
(W/m2-K)
18.41
12.04
10.82
10.07
9.59
9.73
13.50
19.01
5.04%
6.41%
6.29%
6.25%
6.29%
6.45%
8.63%
8.57%
6.64%
6.27%
6.12%
6.08%
8.60%
6.45%
6.16%
6.10%
6.06%
6.03%
6.03%
6.32%
7.51%
6.63%
6.24%
6.17%
6.10%
6.05%
6.03%
6.35%
7.36%
Fractional
Uncertainty
6.69%
6.22%
6.13%
6.08%
6.04%
6.02%
6.22%
9.06%
31.27
41.16
35.08
31.42
29.34
30.30
56.91
48.74
57.49
42.12
34.60
32.24
33.52
51.91
39.01
35.53
33.52
31.59
31.72
37.47
24.58
59.38
43.44
40.03
36.25
33.20
31.80
44.39
24.60
60.37
40.99
36.67
33.73
31.08
30.19
39.96
34.09
Nu(z)
A-23
Channel
Number
225
226
227
229
230
231
232
209
210
211
212
213
214
215
216
177
178
179
180
181
182
183
217
218
219
220
221
222
223
224
H.R.
Location
RodC5_63.7
RodC5_113.6
RodC5_115.7
RodC5_122.7
RodC5_126.7
RodC5_131.6
RodC5_135.7
RodE5_63.6
RodE5_113.6
RodE5_115.4
RodE5_118.7
RodE5_122.6
RodE5_126.6
RodE5_131.6
RodE5_135.6
RodC3_79.8
RodC3_85.6
RodC3_88.5
RodC3_92.4
RodC3_94.4
RodC3_97.2
RodC3_108.8
RodD5_50
RodD5_54.1
RodD5_56.9
RodD5_60
RodD5_66.1
RodD5_69.9
RodD5_72.9
RodD5_74.9
1.270
1.374
1.445
1.524
1.679
1.775
1.852
1.902
2.027
2.174
2.248
2.347
2.398
2.469
2.764
1.615
2.885
2.931
3.015
3.114
3.216
3.343
3.444
Elevation
(m)
1.618
2.885
2.939
3.117
3.218
3.343
3.447
0.076
0.180
0.251
0.330
0.485
-0.025
0.051
0.102
0.227
0.374
0.000
0.099
0.150
0.221
0.516
0.422
0.022
0.067
0.151
0.250
0.352
-0.048
0.053
Zgrid
(m)
0.424
0.022
0.075
0.253
0.354
-0.048
0.056
586.2
611.3
625.1
636.6
648.7
628.3
659.6
675.5
684.8
692.4
697.6
734.6
744.3
764.5
807.5
639.3
792.9
804.0
813.0
820.8
825.3
810.8
822.7
H.R. Tw
(K)
642.6
798.1
814.8
837.9
840.2
824.3
833.9
7645.0
7943.9
8150.3
8377.4
8824.4
9108.5
9322.6
9468.9
9795.8
10220.4
10431.5
10720.0
10866.3
11074.1
11671.5
8654.5
10669.6
10296.9
9616.9
8815.0
7989.9
6975.7
6140.4
H.R. q''
(W/m2)
8440.9
10338.8
9921.4
8529.7
7734.6
6770.7
5948.1
505.0
518.7
528.6
539.8
562.8
577.6
589.5
597.5
617.2
640.6
652.3
667.8
675.7
686.5
729.0
553.2
745.0
750.7
760.7
771.7
781.9
793.0
800.5
Tcl
(K)
553.6
745.0
751.7
772.0
782.1
793.0
800.7
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.20
1.27
1.27
1.27
1.27
1.27
1.27
1.27
Correction
Factor
1.20
1.27
1.27
1.27
1.27
1.27
1.27
518.5
534.2
544.7
555.9
577.1
586.0
601.2
610.5
631.7
651.7
662.0
682.1
690.4
703.2
745.8
567.6
755.3
762.1
771.9
782.2
791.2
796.8
805.3
Tbulk
(K)
568.4
756.4
765.2
786.1
794.6
799.7
807.8
6235
6017
5880
5739
5490
5392
5233
5139
4939
4763
4678
4521
4459
4366
4086
5599
4029
3989
3933
3876
3827
3797
3754
5589
4023
3971
3855
3809
3782
3741
Re (z)
Table SC-3163-B.1: Summary of Steam Cooling Data (cont.)
113.06
103.03
101.27
103.82
123.25
215.32
159.58
145.57
184.33
251.02
292.89
204.33
201.33
180.70
189.11
120.69
283.53
245.74
233.96
228.35
234.15
500.55
351.93
h (z)
2
(W/m -K)
113.86
247.73
199.92
164.64
169.52
275.90
228.18
5.77
5.17
5.05
5.18
6.26
12.24
8.39
7.50
11.55
16.55
20.00
12.83
12.58
11.10
11.61
6.11
19.03
16.06
15.34
15.18
16.08
54.70
32.94
±σhtc
(W/m2-K)
5.80
16.35
12.74
10.39
10.91
21.56
17.31
5.11%
5.02%
4.99%
4.99%
5.08%
5.69%
5.26%
5.15%
6.27%
6.59%
6.83%
6.28%
6.25%
6.15%
6.14%
5.06%
6.71%
6.54%
6.56%
6.65%
6.87%
10.93%
9.36%
Fractional
Uncertainty
5.09%
6.60%
6.37%
6.31%
6.44%
7.81%
7.59%
34.86
30.54
29.24
29.15
32.86
56.19
40.18
35.86
43.26
56.33
64.27
42.95
41.59
36.35
34.93
32.93
51.43
44.00
41.12
39.37
39.71
84.02
58.18
31.00
44.84
35.59
28.18
28.57
46.07
37.55
Nu(z)
A-24
Channel
Number
153
154
155
156
157
158
159
160
105
106
107
108
109
110
111
112
57
58
59
60
61
62
63
64
137
138
139
140
141
142
143
144
H.R.
Location
RodB5_41
RodB5_52.9
RodB5_55
RodB5_57.8
RodB5_64
RodB5_73.9
RodB5_75.9
RodB5_76.9
RodF5_41
RodF5_53.1
RodF5_55
RodF5_57.8
RodF5_64
RodF5_73.8
RodF5_75.8
RodF5_76.8
RodC2_41
RodC2_53.1
RodC2_55
RodC2_57.8
RodC2_63.9
RodC2_73.8
RodC2_75.8
RodC2_76.8
RodC6_40.9
RodC6_52.8
RodC6_54.8
RodC6_57.8
RodC6_63.8
RodC6_73.7
RodC6_75.8
RodC6_76.8
1.039
1.341
1.392
1.468
1.621
1.872
1.925
1.951
1.041
1.349
1.397
1.468
1.623
1.875
1.925
1.951
1.041
1.349
1.397
1.468
1.626
1.875
1.925
1.951
Elevation
(m)
1.041
1.344
1.397
1.468
1.626
1.877
1.928
1.953
0.340
0.147
0.198
0.274
0.427
0.072
0.125
0.150
0.343
0.155
0.203
0.274
0.429
0.074
0.125
0.150
0.343
0.155
0.203
0.274
0.432
0.074
0.125
0.150
Zgrid
(m)
0.343
0.150
0.203
0.274
0.432
0.077
0.128
0.153
563.8
601.9
611.9
625.4
642.2
664.4
675.4
681.9
556.5
598.8
607.0
618.9
632.1
651.0
663.1
667.9
559.5
595.2
604.5
615.7
631.1
650.2
664.4
670.1
H.R. Tw
(K)
562.6
599.5
608.2
620.9
637.2
661.9
675.6
681.1
6913.9
7829.2
7987.2
8219.3
8681.6
9443.0
9604.5
9681.0
6945.7
7843.2
7983.6
8191.0
8641.9
9377.1
9529.1
9602.2
6914.7
7804.8
7944.0
8148.6
8610.0
9334.4
9479.8
9555.0
H.R. q''
(W/m2)
6957.1
7838.7
7995.1
8203.2
8662.6
9391.5
9541.5
9617.3
479.1
512.2
518.3
527.6
547.1
580.8
588.2
591.7
479.3
513.1
518.9
527.6
547.4
581.2
588.2
591.7
479.3
513.1
518.9
527.6
547.7
581.2
588.2
591.7
Tcl
(K)
479.3
512.5
518.9
527.6
547.7
581.5
588.5
592.0
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
493.2
527.2
533.9
543.9
562.9
594.7
602.7
606.7
492.2
527.4
533.6
542.9
561.5
592.8
600.7
604.4
492.7
526.8
533.2
542.3
561.6
592.7
600.9
604.8
Tbulk
(K)
493.2
527.0
533.8
543.2
562.6
594.9
603.0
606.9
6620.3
6112.8
6021.0
5888.8
5653.8
5298.9
5217.0
5176.6
6636.6
6109.5
6025.1
5902.8
5670.7
5319.3
5237.8
5200.0
6628.4
6117.8
6030.7
5909.7
5669.3
5320.7
5235.7
5196.2
6620.1
6114.7
6022.2
5898.5
5657.2
5297.2
5213.7
5175.0
Re (z)
Table SC-3163-B.1: Summary of Steam Cooling Data (cont.)
97.91
104.80
102.42
100.86
109.47
135.54
132.13
128.80
108.01
109.90
108.80
107.67
122.46
161.03
152.58
151.20
103.46
114.17
111.43
111.03
123.93
162.24
149.32
146.13
h (z)
(W/m2-K)
100.23
108.10
107.42
105.56
116.22
140.21
131.53
129.65
4.99
5.28
5.13
5.03
5.47
6.89
6.67
6.48
5.57
5.58
5.50
5.42
6.22
8.48
7.92
7.83
5.31
5.84
5.67
5.62
6.32
8.58
7.75
7.54
±σhtc
(W/m2-K)
5.11
5.47
5.42
5.29
5.86
7.19
6.67
6.55
5.09%
5.04%
5.01%
4.98%
4.99%
5.08%
5.05%
5.03%
5.16%
5.07%
5.05%
5.03%
5.08%
5.26%
5.19%
5.18%
5.14%
5.12%
5.09%
5.07%
5.10%
5.29%
5.19%
5.16%
Fractional
Uncertainty
5.09%
5.06%
5.04%
5.01%
5.04%
5.13%
5.07%
5.05%
32.21
31.62
30.38
29.17
30.21
34.65
33.15
32.01
35.63
33.14
32.30
31.23
33.91
41.35
38.46
37.78
34.08
34.48
33.11
32.25
34.31
41.67
37.62
36.48
32.97
32.62
31.87
30.59
32.10
35.83
32.97
32.21
Nu(z)
A-25
Channel
Number
161
162
163
164
165
166
167
168
98
99
100
101
102
103
104
65
66
67
68
69
70
71
72
129
130
131
132
133
134
135
136
H.R.
Location
RodB4_88.4
RodB4_91.3
RodB4_93.3
RodB4_95.1
RodB4_100
RodB4_106
RodB4_109.9
RodB4_142.3
RodF4_85.6
RodF4_88.4
RodF4_92.4
RodF4_94.3
RodF4_97.2
RodF4_108.8
RodF4_111
RodD2_103.2
RodD2_106
RodD2_112.6
RodD2_114.9
RodD2_117.4
RodD2_120.8
RodD2_124.8
RodD2_128.6
RodD6_103.1
RodD6_106
RodD6_112.9
RodD6_114.9
RodD6_116.8
RodD6_120.9
RodD6_124.8
RodD6_128.7
2.619
2.692
2.868
2.918
2.967
3.071
3.170
3.269
2.621
2.692
2.860
2.918
2.982
3.068
3.170
3.266
2.174
2.245
2.347
2.395
2.469
2.764
2.819
Elevation
(m)
2.245
2.319
2.370
2.416
2.540
2.692
2.791
3.614
0.371
0.445
0.004
0.055
0.103
0.207
0.306
0.405
0.373
0.445
-0.004
0.055
0.118
0.204
0.306
0.403
0.374
-0.003
0.099
0.147
0.221
0.516
-0.044
Zgrid
(m)
-0.003
0.071
0.122
0.168
0.292
0.445
0.544
0.224
781.6
787.9
775.4
791.6
803.2
813.6
820.1
822.0
781.9
791.7
778.8
797.9
806.1
816.2
821.1
820.9
688.9
692.5
730.0
743.9
761.5
794.0
776.3
H.R. Tw
(K)
697.0
727.9
740.4
752.3
773.6
797.4
782.4
836.9
11622.4
11836.6
10800.7
10350.1
9923.7
9015.7
8150.0
7284.0
11596.2
11807.0
10832.8
10324.0
9772.1
9020.6
8143.9
7307.8
10246.4
10450.9
10749.8
10887.6
11098.6
11715.6
11244.9
H.R. q''
(W/m2)
10392.5
10597.0
10740.4
10865.9
11218.5
11648.3
11281.5
4305.1
685.0
695.0
718.1
724.6
730.7
743.4
755.1
766.2
685.4
695.0
717.1
724.6
732.6
743.1
755.1
765.9
623.0
633.0
647.3
654.1
664.4
704.5
711.8
Tcl
(K)
633.0
643.4
650.5
656.9
674.2
695.0
708.2
799.9
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
Correction
Factor
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
705.7
714.9
730.4
738.9
746.2
758.5
769.0
778.1
706.0
715.7
730.3
740.3
748.3
758.8
769.2
777.7
637.1
645.7
665.0
673.3
685.2
723.7
725.6
Tbulk
(K)
646.7
661.5
669.8
677.3
695.5
716.9
724.1
807.8
4348.8
4285.6
4183.3
4128.9
4084.0
4010.4
3949.3
3898.1
4346.6
4280.2
4183.7
4120.5
4071.1
4008.6
3948.2
3900.6
4890.1
4814.4
4653.9
4588.1
4497.5
4227.0
4214.1
4806.0
4682.6
4616.0
4556.9
4421.4
4271.9
4224.3
3740.9
Re (z)
Table SC-3163-B.1: Summary of Steam Cooling Data (cont.)
153.06
162.09
239.76
196.58
174.15
163.55
159.41
166.13
152.91
155.44
223.60
179.27
169.11
157.11
157.07
169.16
197.76
223.47
165.36
154.20
145.36
166.53
222.13
h (z)
(W/m2-K)
206.55
159.61
151.97
144.93
143.63
144.75
193.37
148.27
9.18
9.75
15.45
12.32
10.80
10.19
10.05
10.78
9.18
9.33
14.22
11.10
10.47
9.74
9.88
11.01
12.43
14.30
10.09
9.33
8.74
10.07
14.00
±σhtc
(W/m2-K)
13.07
9.73
9.21
8.74
8.64
8.69
12.00
10.85
6.00%
6.02%
6.44%
6.27%
6.20%
6.23%
6.31%
6.49%
6.00%
6.00%
6.36%
6.19%
6.19%
6.20%
6.29%
6.51%
6.29%
6.40%
6.10%
6.05%
6.01%
6.05%
6.30%
Fractional
Uncertainty
6.33%
6.10%
6.06%
6.03%
6.01%
6.00%
6.20%
7.32%
30.63
31.84
45.65
36.80
32.15
29.49
28.17
28.86
30.58
30.48
42.58
33.47
31.09
28.31
27.75
29.41
45.85
50.82
36.05
33.02
30.36
32.14
42.70
46.87
35.07
32.79
30.77
29.35
28.31
37.28
24.40
Nu(z)
A-26
Channel
Number
73
74
75
76
77
78
79
80
169
170
171
172
173
174
175
176
89
90
91
92
93
94
95
96
121
122
123
124
125
126
127
128
H.R.
Location
RodE2_50.1
RodE2_54
RodE2_56.9
RodE2_59.9
RodE2_66
RodE2_69.8
RodE2_72.9
RodE2_74.9
RodB3_50.2
RodB3_54.1
RodB3_56.9
RodB3_60.1
RodB3_66.1
RodB3_69.9
RodB3_73
RodB3_75
RodF3_50.1
RodF3_54
RodF3_57
RodF3_60
RodF3_66.1
RodF3_70
RodF3_73
RodF3_75
RodE6_50.2
RodE6_54.1
RodE6_57
RodE6_60.2
RodE6_66.1
RodE6_70
RodE6_73.1
RodE6_75
1.275
1.374
1.448
1.529
1.679
1.778
1.857
1.905
1.273
1.372
1.448
1.524
1.679
1.778
1.854
1.905
1.275
1.374
1.445
1.527
1.679
1.775
1.854
1.905
Elevation
(m)
1.273
1.372
1.445
1.521
1.676
1.773
1.852
1.902
0.081
0.180
0.254
0.335
0.485
-0.022
0.056
0.105
0.079
0.178
0.254
0.330
0.485
-0.022
0.054
0.105
0.081
0.180
0.251
0.333
0.485
-0.025
0.054
0.105
Zgrid
(m)
0.079
0.178
0.251
0.328
0.483
-0.027
0.051
0.102
579.8
601.3
613.3
624.7
636.4
618.2
646.3
660.2
580.7
602.9
615.4
626.0
631.5
617.9
646.5
662.3
574.2
590.4
600.5
608.4
630.8
615.0
645.3
659.6
H.R. Tw
(K)
577.9
601.5
615.1
628.2
639.1
616.4
644.7
656.9
7626.3
7910.7
8123.3
8359.9
8791.9
9083.2
9303.4
9440.6
7626.5
7917.4
8146.1
8373.5
8835.7
9135.9
9358.2
9509.7
7635.2
7924.9
8129.4
8369.5
8814.2
9100.1
9321.5
9468.0
H.R. q''
(W/m2)
7671.5
7960.8
8178.5
8405.7
8863.6
9156.0
9380.6
9531.1
504.5
516.2
525.1
535.3
554.8
568.0
578.7
585.4
504.2
515.9
525.1
534.7
554.8
568.0
578.4
585.4
504.5
516.2
524.8
535.0
554.8
567.7
578.4
585.4
Tcl
(K)
504.2
515.9
524.8
534.3
554.4
567.3
578.0
585.0
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
517.1
530.4
539.8
550.2
568.4
576.4
590.0
597.8
517.0
530.4
540.2
549.9
567.5
576.3
589.7
598.2
516.1
528.5
537.4
547.2
567.4
575.5
589.5
597.7
Tbulk
(K)
516.5
530.1
539.9
550.0
568.5
575.5
589.1
597.0
6255.5
6069.0
5942.4
5809.3
5590.0
5498.4
5349.2
5266.9
6257.0
6068.7
5937.7
5813.2
5599.5
5498.9
5352.0
5263.2
6269.2
6093.9
5973.8
5846.9
5600.9
5507.6
5354.1
5267.8
6263.7
6072.0
5941.8
5812.1
5588.1
5508.2
5358.3
5275.5
Re (z)
Table SC-3163-B.1: Summary of Steam Cooling Data (cont.)
121.51
111.48
110.61
112.26
129.22
217.21
165.21
151.43
119.69
109.09
108.26
109.97
138.10
219.67
164.86
148.35
131.50
128.11
128.88
136.78
139.10
230.80
167.15
153.00
h (z)
(W/m2-K)
124.95
111.55
108.72
107.52
125.67
224.02
168.96
158.99
6.29
5.66
5.59
5.66
6.60
12.41
8.73
7.88
6.18
5.52
5.45
5.53
7.11
12.55
8.68
7.65
6.91
6.65
6.66
7.11
7.18
13.44
8.84
7.96
±σhtc
(W/m2-K)
6.48
5.64
5.46
5.37
6.36
12.85
8.92
8.30
5.18%
5.08%
5.06%
5.05%
5.11%
5.71%
5.29%
5.20%
5.16%
5.06%
5.03%
5.02%
5.15%
5.71%
5.26%
5.16%
5.25%
5.19%
5.17%
5.20%
5.16%
5.82%
5.29%
5.20%
Fractional
Uncertainty
5.18%
5.06%
5.02%
5.00%
5.06%
5.74%
5.28%
5.22%
37.61
33.36
32.33
31.97
35.19
58.01
42.71
38.43
37.06
32.65
31.61
31.34
37.68
58.68
42.65
37.61
40.80
38.52
37.89
39.24
37.97
61.77
43.26
38.83
38.73
33.40
31.77
30.64
34.21
59.96
43.77
40.42
Nu(z)
RBHT Steam Cooling Test SC-3166-A
Matrix test # 3
Test date – 3/21/2005
Steady state time window: 15000 - 15600 sec
Inlet flow: 0.91 m3/min (32.2 ft3/min)
Inlet steam temperature: 408 K (275 °F)
Upper plenum pressure: 271.7 kPa (39.4 psia)
Bundle power: 21.0 kW
Outlet steam temperature: 780 K (945 °F)
Bundle inlet Reynolds number: 3655
Subchannel Centerline Temperatures
The equations below were correlated using the axial subchannel centerline temperature
distribution.
Subchannels D5 and E5 (use for inner 3x3 rod bundle thermocouple locations)
Tcl = -15.787x3 + 96.024x2 - 41.28x + 433.52
Subchannel C5 (use for 5x5 peripheral rod bundle thermocouple locations)
Tcl = -10.056x3 + 62.945x2 + 2.2908x + 419.79
where x is the elevation (m) and Tcl is in (K)
A-27
A-28
A-29
A-30
A-31
A-32
Subchannels D5 and E5 Axial Temperature Profile
y = -15.787x 3 + 96.024x 2 - 41.28x + 433.52
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
2.5
3
3.5
4
3.5
4
Elevation (m)
Subchannel C5 Axial Temperature Profile
y = -10.056x 3 + 62.945x 2 + 2.2908x + 419.79
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
Elevation (m)
A-33
2.5
3
A-34
241
242
243
244
245
246
247
248
201
202
204
205
208
193
194
195
196
197
198
199
200
RodE4_88.4
RodE4_91.2
RodE4_95.3
RodE4_100.9
RodE4_142.3
RodE3_63.4
RodE3_113.6
RodE3_115.5
RodE3_118.5
RodE3_122.7
RodE3_126.5
RodE3_131.7
RodE3_135.6
233
234
235
236
237
238
239
240
RodC4_88.4
RodC4_91.1
RodC4_93.4
RodC4_95.3
RodC4_100.1
RodC4_106.1
RodC4_110
RodC4_142.2
RodD4_88.3
RodD4_91.3
RodD4_93.2
RodD4_95.2
RodD4_100.1
RodD4_106.1
RodD4_110
RodD4_142.1
Channel
Number
185
186
187
188
189
190
191
192
H.R.
Location
RodD3_88.3
RodD3_91.3
RodD3_93.1
RodD3_95.3
RodD3_100.1
RodD3_106.1
RodD3_110
RodD3_142.1
1.610
2.885
2.934
3.010
3.117
3.213
3.345
3.444
2.245
2.316
2.421
2.563
3.614
2.243
2.319
2.367
2.418
2.543
2.695
2.794
3.609
2.245
2.314
2.372
2.421
2.543
2.695
2.794
3.612
Elevation
(m)
2.243
2.319
2.365
2.421
2.543
2.695
2.794
3.609
0.417
0.022
0.070
0.146
0.253
0.349
-0.046
0.053
-0.003
0.069
0.173
0.315
0.224
-0.005
0.071
0.119
0.170
0.295
0.447
0.546
0.218
-0.003
0.066
0.124
0.173
0.295
0.447
0.546
0.221
Zgrid
(m)
-0.005
0.071
0.117
0.173
0.295
0.447
0.546
0.218
615.7
774.2
783.3
793.3
801.3
803.7
797.1
799.5
680.3
701.7
728.1
751.1
809.4
687.7
708.0
721.1
733.1
756.1
773.6
769.6
814.3
680.3
702.3
716.7
729.3
751.9
770.3
765.0
811.9
H.R. Tw
(K)
681.1
704.4
717.4
732.0
755.2
775.2
772.9
804.9
4612.3
5691.1
5480.9
5147.2
4678.3
4255.2
3679.2
3241.5
5573.6
5682.1
5839.8
6057.8
2307.3
5661.3
5781.2
5857.3
5937.7
6138.4
6378.2
6381.4
2283.2
5683.3
5791.6
5885.4
5962.0
6158.7
6402.8
6198.8
2359.3
H.R. q''
(W/m2)
5616.5
5734.5
5806.5
5895.4
6088.2
6325.3
6248.2
2174.7
550.1
734.6
740.2
748.7
759.7
768.5
779.0
785.4
646.2
656.9
672.3
692.7
793.3
645.8
657.3
664.5
672.0
689.8
710.7
723.5
793.2
646.2
656.5
665.2
672.3
689.8
710.7
723.5
793.2
Tcl
(K)
645.8
657.3
664.1
672.3
689.8
710.7
723.5
793.2
1.27
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.27
1.27
1.50
1.50
1.50
1.27
1.27
1.50
1.50
1.50
1.50
1.50
1.50
1.27
1.27
1.50
1.50
1.50
1.50
1.50
1.50
Correction
Factor
1.27
1.27
1.50
1.50
1.50
1.50
1.50
1.50
564.2
747.8
754.6
763.6
773.5
780.3
785.0
790.1
653.5
666.5
690.9
712.2
798.7
654.8
668.2
683.4
692.3
711.9
731.6
738.8
800.2
653.5
666.3
682.4
691.3
710.5
730.5
737.3
799.5
Tbulk
(K)
653.4
667.4
681.9
692.2
711.6
732.2
739.9
797.1
2863
2068
2047
2021
1992
1973
1960
1946
2410
2356
2261
2185
1923
2405
2350
2290
2256
2186
2119
2096
1919
2410
2357
2294
2260
2191
2123
2101
1921
2411
2353
2296
2257
2187
2118
2093
1927
Re (z)
Table SC-3166-A.1: Summary of Steam Cooling Data
89.53
215.93
190.78
173.22
168.51
181.38
304.16
345.34
207.89
161.35
157.03
155.49
215.26
171.93
145.15
155.13
145.62
138.89
152.02
207.22
161.75
212.21
160.96
171.52
156.90
148.93
161.05
223.94
189.75
h (z)
(W/m2-K)
202.60
155.04
163.49
148.22
139.65
147.08
189.57
278.16
7.31
21.62
18.82
16.98
16.65
18.45
38.92
50.98
19.10
13.93
15.06
14.85
29.63
14.91
12.17
14.75
13.75
13.03
14.31
19.92
19.56
19.33
13.70
16.44
14.88
14.02
15.21
22.12
24.07
±σhtc
(W/m2-K)
18.37
13.21
15.69
14.07
13.16
13.87
18.21
47.24
8.17%
10.01%
9.87%
9.80%
9.88%
10.17%
12.79%
14.76%
9.19%
8.63%
9.59%
9.55%
13.76%
8.67%
8.38%
9.51%
9.44%
9.38%
9.41%
9.61%
12.09%
9.11%
8.51%
9.59%
9.49%
9.41%
9.44%
9.88%
12.68%
Fractional
Uncertainty
9.07%
8.52%
9.60%
9.49%
9.42%
9.43%
9.61%
16.98%
24.63
39.74
34.65
30.93
29.53
31.39
52.17
58.68
46.47
35.06
32.40
30.71
36.01
38.32
31.43
32.52
29.96
27.44
28.87
38.80
26.98
47.43
34.99
36.03
32.35
29.51
30.66
42.06
31.70
45.30
33.63
34.38
30.50
27.61
27.91
35.42
46.67
Nu(z)
A-35
Channel
Number
225
226
227
229
230
231
232
209
210
211
212
213
214
215
216
177
178
179
180
181
182
183
217
218
219
220
221
222
223
224
H.R.
Location
RodC5_63.7
RodC5_113.6
RodC5_115.7
RodC5_122.7
RodC5_126.7
RodC5_131.6
RodC5_135.7
RodE5_63.6
RodE5_113.6
RodE5_115.4
RodE5_118.7
RodE5_122.6
RodE5_126.6
RodE5_131.6
RodE5_135.6
RodC3_79.8
RodC3_85.6
RodC3_88.5
RodC3_92.4
RodC3_94.4
RodC3_97.2
RodC3_108.8
RodD5_50
RodD5_54.1
RodD5_56.9
RodD5_60
RodD5_66.1
RodD5_69.9
RodD5_72.9
RodD5_74.9
1.270
1.374
1.445
1.524
1.679
1.775
1.852
1.902
2.027
2.174
2.248
2.347
2.398
2.469
2.764
1.615
2.885
2.931
3.015
3.114
3.216
3.343
3.444
Elevation
(m)
1.618
2.885
2.939
3.117
3.218
3.343
3.447
0.076
0.180
0.251
0.330
0.485
-0.025
0.051
0.102
0.227
0.374
0.000
0.099
0.150
0.221
0.516
0.422
0.022
0.067
0.151
0.250
0.352
-0.048
0.053
Zgrid
(m)
0.424
0.022
0.075
0.253
0.354
-0.048
0.056
565.2
586.5
597.6
608.9
625.0
615.0
635.8
648.8
661.5
671.8
675.7
703.2
714.6
731.5
769.4
613.4
762.9
772.3
783.6
791.5
796.5
792.8
795.9
H.R. Tw
(K)
619.8
765.9
777.9
799.0
802.8
798.5
803.9
4096.5
4256.1
4367.8
4489.9
4731.1
4881.5
4997.9
5077.9
5250.7
5477.4
5593.2
5746.1
5825.7
5936.0
6256.9
4635.7
5727.5
5530.9
5168.2
4740.5
4302.9
3757.7
3317.2
H.R. q''
(W/m2)
4527.2
5555.5
5330.9
4589.5
4167.3
3652.3
3217.0
503.6
517.1
526.8
537.7
560.2
574.6
586.1
593.8
612.9
635.4
646.6
661.5
669.0
679.3
719.6
550.9
734.6
740.0
749.3
759.4
768.8
778.8
785.4
Tcl
(K)
551.2
734.6
740.8
759.7
769.0
778.8
785.6
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.50
1.50
1.50
1.27
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Correction
Factor
1.27
1.50
1.50
1.50
1.50
1.50
1.50
516.8
532.0
541.9
553.0
574.0
583.2
596.7
605.6
623.3
643.2
652.8
670.4
684.2
696.7
736.2
564.3
744.1
750.7
760.7
770.1
778.0
783.5
788.9
Tbulk
(K)
565.9
745.0
753.2
772.8
780.2
785.4
791.7
3177
3069
3002
2931
2804
2753
2679
2633
2546
2455
2413
2341
2287
2240
2105
2862
2080
2059
2029
2002
1979
1964
1949
2852
2077
2052
1994
1973
1959
1941
Re (z)
Table SC-3166-A.1: Summary of Steam Cooling Data (cont.)
84.66
78.07
78.43
80.33
92.88
153.68
127.90
117.44
137.33
191.41
245.05
175.04
191.68
170.56
188.49
94.34
303.60
256.78
225.82
221.88
232.72
403.23
472.78
h (z)
2
(W/m -K)
84.01
266.63
215.69
174.88
185.10
278.93
262.62
6.95
6.34
6.35
6.51
7.58
13.44
10.78
9.78
11.67
17.26
23.64
15.29
18.78
16.44
18.25
7.73
32.76
26.72
23.13
23.03
25.06
59.73
85.28
±σhtc
(W/m2-K)
6.92
28.30
22.03
17.58
19.11
34.42
33.34
8.21%
8.12%
8.10%
8.10%
8.16%
8.75%
8.43%
8.33%
8.50%
9.02%
9.65%
8.74%
9.80%
9.64%
9.68%
8.19%
10.79%
10.41%
10.24%
10.38%
10.77%
14.81%
18.04%
Fractional
Uncertainty
8.24%
10.61%
10.21%
10.05%
10.32%
12.34%
12.70%
26.22
23.27
22.80
22.72
24.95
40.38
32.54
29.26
32.85
43.77
54.86
37.72
40.11
34.77
35.48
25.95
56.28
46.99
40.54
39.13
40.44
69.36
80.51
23.02
49.33
39.28
30.69
32.03
47.81
44.50
Nu(z)
A-36
Channel
Number
153
154
155
156
157
158
159
160
105
106
107
108
109
110
111
112
57
58
59
60
61
62
63
64
137
138
139
140
141
142
143
144
H.R.
Location
RodB5_41
RodB5_52.9
RodB5_55
RodB5_57.8
RodB5_64
RodB5_73.9
RodB5_75.9
RodB5_76.9
RodF5_41
RodF5_53.1
RodF5_55
RodF5_57.8
RodF5_64
RodF5_73.8
RodF5_75.8
RodF5_76.8
RodC2_41
RodC2_53.1
RodC2_55
RodC2_57.8
RodC2_63.9
RodC2_73.8
RodC2_75.8
RodC2_76.8
RodC6_40.9
RodC6_52.8
RodC6_54.8
RodC6_57.8
RodC6_63.8
RodC6_73.7
RodC6_75.8
RodC6_76.8
1.039
1.341
1.392
1.468
1.621
1.872
1.925
1.951
1.041
1.349
1.397
1.468
1.623
1.875
1.925
1.951
1.041
1.349
1.397
1.468
1.626
1.875
1.925
1.951
Elevation
(m)
1.041
1.344
1.397
1.468
1.626
1.877
1.928
1.953
0.340
0.147
0.198
0.274
0.427
0.072
0.125
0.150
0.343
0.155
0.203
0.274
0.429
0.074
0.125
0.150
0.343
0.155
0.203
0.274
0.432
0.074
0.125
0.150
Zgrid
(m)
0.343
0.150
0.203
0.274
0.432
0.077
0.128
0.153
545.4
577.7
586.7
598.1
616.6
638.4
648.8
654.4
541.0
575.9
583.8
594.6
611.2
623.4
632.9
636.7
539.4
569.4
578.1
588.7
606.4
623.0
634.4
639.2
H.R. Tw
(K)
544.2
575.4
583.0
594.5
613.6
634.6
646.0
650.6
3703.6
4194.2
4278.9
4403.3
4652.8
5065.3
5151.7
5193.9
3720.3
4197.3
4274.0
4385.4
4629.1
5021.8
5101.1
5140.8
3690.2
4179.6
4256.4
4369.3
4616.2
5004.5
5084.8
5124.5
H.R. q''
2
(W/m )
3730.9
4201.0
4286.2
4397.7
4643.8
5037.4
5116.8
5156.9
478.8
511.8
517.8
527.0
546.0
578.7
585.8
589.1
479.1
512.7
518.4
527.0
546.3
579.0
585.8
589.1
479.1
512.7
518.4
527.0
546.7
579.0
585.8
589.1
Tcl
(K)
479.1
512.1
518.4
527.0
546.7
579.4
586.1
589.5
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
Correction
Factor
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
493.1
525.9
532.6
542.2
561.1
591.5
599.3
603.1
492.3
526.2
532.4
541.5
560.2
588.5
595.9
599.3
492.0
524.8
531.2
540.2
559.5
588.5
596.2
599.9
Tbulk
(K)
493.0
525.7
532.3
541.4
561.0
591.2
598.9
602.6
3361.5
3111.9
3065.6
3000.6
2881.0
2707.4
2666.2
2646.2
3367.5
3109.5
3066.6
3005.6
2886.6
2723.3
2684.1
2665.8
3370.3
3119.4
3075.0
3013.9
2891.2
2723.8
2682.4
2663.0
3362.0
3113.6
3067.7
3005.8
2881.8
2709.0
2667.9
2649.0
Re (z)
Table SC-3166-A.1: Summary of Steam Cooling Data (cont.)
70.82
81.06
79.04
78.77
83.86
107.89
104.01
101.31
76.45
84.50
83.17
82.58
90.85
144.00
137.73
137.55
77.80
93.85
90.72
90.09
98.27
144.67
133.14
130.23
h (z)
2
(W/m -K)
72.93
84.42
84.40
82.95
88.23
116.14
108.61
107.40
5.80
6.62
6.42
6.38
6.78
8.85
8.49
8.24
6.29
6.94
6.80
6.73
7.43
12.39
11.72
11.69
6.45
7.81
7.51
7.42
8.12
12.48
11.30
11.00
±σhtc
(W/m2-K)
5.96
6.92
6.90
6.75
7.19
9.65
8.94
8.84
8.19%
8.17%
8.13%
8.10%
8.09%
8.20%
8.17%
8.14%
8.23%
8.21%
8.18%
8.15%
8.18%
8.60%
8.51%
8.50%
8.29%
8.33%
8.27%
8.24%
8.26%
8.63%
8.48%
8.45%
Fractional
Uncertainty
8.17%
8.19%
8.17%
8.14%
8.14%
8.31%
8.23%
8.23%
23.31
24.54
23.53
22.88
23.25
27.79
26.31
25.39
25.21
25.55
24.76
24.04
25.24
37.36
35.11
34.78
25.67
28.48
27.09
26.30
27.35
37.54
33.92
32.89
24.01
25.57
25.14
24.15
24.47
29.94
27.49
26.95
Nu(z)
A-37
Channel
Number
161
162
163
164
165
166
167
168
98
99
100
101
102
103
104
65
66
67
68
69
70
71
72
129
130
131
132
133
134
135
136
H.R.
Location
RodB4_88.4
RodB4_91.3
RodB4_93.3
RodB4_95.1
RodB4_100
RodB4_106
RodB4_109.9
RodB4_142.3
RodF4_85.6
RodF4_88.4
RodF4_92.4
RodF4_94.3
RodF4_97.2
RodF4_108.8
RodF4_111
RodD2_103.2
RodD2_106
RodD2_112.6
RodD2_114.9
RodD2_117.4
RodD2_120.8
RodD2_124.8
RodD2_128.6
RodD6_103.1
RodD6_106
RodD6_112.9
RodD6_114.9
RodD6_116.8
RodD6_120.9
RodD6_124.8
RodD6_128.7
2.619
2.692
2.868
2.918
2.967
3.071
3.170
3.269
2.621
2.692
2.860
2.918
2.982
3.068
3.170
3.266
2.174
2.245
2.347
2.395
2.469
2.764
2.819
Elevation
(m)
2.245
2.319
2.370
2.416
2.540
2.692
2.791
3.614
0.371
0.445
0.004
0.055
0.103
0.207
0.306
0.405
0.373
0.445
-0.004
0.055
0.118
0.204
0.306
0.403
0.374
-0.003
0.099
0.147
0.221
0.516
-0.044
Zgrid
(m)
-0.003
0.071
0.122
0.168
0.292
0.445
0.544
0.224
744.4
751.0
748.3
759.0
768.8
778.6
786.8
790.8
739.2
748.5
751.0
764.1
778.9
778.9
784.3
786.1
665.7
667.4
697.5
709.4
724.6
758.8
755.2
H.R. Tw
(K)
673.7
696.2
709.1
719.4
738.0
756.5
753.5
798.3
6229.6
6344.5
5789.7
5553.1
5327.9
4841.1
4379.2
3917.6
6215.5
6325.6
5807.1
5535.4
4841.6
4841.6
4373.0
3926.8
5496.3
5604.4
5762.7
5837.7
5950.6
6286.8
6033.3
H.R. q''
(W/m2)
5573.8
5683.9
5759.7
5828.8
6018.2
6247.5
6050.0
2332.6
676.9
686.0
706.9
712.6
718.0
729.2
739.2
748.6
677.2
686.0
706.0
712.6
719.7
728.9
739.2
748.4
619.0
628.4
641.9
648.2
657.8
694.6
701.2
Tcl
(K)
628.4
638.2
644.9
650.9
666.9
686.0
697.9
775.6
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.27
1.27
1.27
1.27
1.27
1.50
1.50
Correction
Factor
1.27
1.27
1.27
1.27
1.50
1.50
1.50
1.50
699.4
707.6
720.7
728.1
734.9
745.7
755.1
762.7
697.9
706.8
721.0
729.8
739.4
745.6
754.3
761.0
629.0
636.8
653.8
661.3
672.1
716.0
719.2
Tbulk
(K)
638.1
650.6
658.6
665.5
690.6
709.5
716.5
783.1
2230.3
2200.7
2155.9
2131.1
2108.8
2074.8
2046.0
2023.2
2235.8
2203.6
2154.8
2125.5
2094.4
2075.0
2048.4
2028.3
2519.6
2483.8
2409.2
2377.7
2333.9
2171.7
2160.8
2477.7
2422.7
2388.9
2360.4
2262.5
2194.3
2170.2
1964.8
Re (z)
138.29
146.45
209.57
179.57
157.52
147.00
138.28
139.28
150.30
151.77
193.28
161.28
122.61
145.28
145.45
156.32
149.68
183.03
131.86
121.34
113.26
146.83
167.78
h (z)
(W/m2-K)
156.59
124.60
114.21
108.31
126.96
132.87
163.34
153.82
Table SC-3166-A.1: Reduced Heat Transfer Coefficient Data (cont.)
12.98
13.78
20.80
17.53
15.21
14.24
13.47
13.80
14.21
14.34
18.96
15.56
12.09
14.07
14.28
15.80
12.78
16.21
10.97
9.99
9.24
13.85
16.07
±σhtc
(W/m2-K)
13.49
10.35
9.39
8.85
11.95
12.52
15.72
17.91
9.38%
9.41%
9.92%
9.76%
9.66%
9.69%
9.74%
9.91%
9.46%
9.45%
9.81%
9.65%
9.86%
9.69%
9.81%
10.11%
8.54%
8.86%
8.32%
8.23%
8.16%
9.43%
9.58%
Fractional
Uncertainty
8.61%
8.31%
8.22%
8.17%
9.41%
9.42%
9.62%
11.64%
28.04
29.19
40.69
34.35
29.72
27.16
25.09
24.91
30.57
30.30
37.50
30.74
22.93
26.85
26.43
28.05
35.34
42.46
29.46
26.66
24.32
28.77
32.67
36.22
28.03
25.25
23.59
26.21
26.38
31.98
26.47
Nu(z)
A-38
Channel
Number
73
74
75
76
77
78
79
80
169
170
171
172
173
174
175
176
89
90
91
92
93
94
95
96
121
122
123
124
125
126
127
128
H.R.
Location
RodE2_50.1
RodE2_54
RodE2_56.9
RodE2_59.9
RodE2_66
RodE2_69.8
RodE2_72.9
RodE2_74.9
RodB3_50.2
RodB3_54.1
RodB3_56.9
RodB3_60.1
RodB3_66.1
RodB3_69.9
RodB3_73
RodB3_75
RodF3_50.1
RodF3_54
RodF3_57
RodF3_60
RodF3_66.1
RodF3_70
RodF3_73
RodF3_75
RodE6_50.2
RodE6_54.1
RodE6_57
RodE6_60.2
RodE6_66.1
RodE6_70
RodE6_73.1
RodE6_75
1.275
1.374
1.448
1.529
1.679
1.778
1.857
1.905
1.273
1.372
1.448
1.524
1.679
1.778
1.854
1.905
1.275
1.374
1.445
1.527
1.679
1.775
1.854
1.905
Elevation
(m)
1.273
1.372
1.445
1.521
1.676
1.773
1.852
1.902
0.081
0.180
0.254
0.335
0.485
-0.022
0.056
0.105
0.079
0.178
0.254
0.330
0.485
-0.022
0.054
0.105
0.081
0.180
0.251
0.333
0.485
-0.025
0.054
0.105
Zgrid
(m)
0.079
0.178
0.251
0.328
0.483
-0.027
0.051
0.102
557.1
574.9
585.0
596.9
611.3
602.1
621.1
632.4
558.7
578.1
589.8
600.9
611.6
602.8
622.4
635.2
552.2
566.6
576.3
587.2
607.2
600.3
621.2
633.4
H.R. Tw
(K)
555.9
575.9
587.4
599.6
613.7
602.7
620.8
631.5
4081.8
4236.7
4352.0
4478.7
4711.4
4864.3
4985.4
5060.3
4077.5
4237.8
4360.9
4484.1
4732.9
4889.8
5013.7
5095.4
4088.5
4243.7
4354.7
4483.7
4722.4
4873.8
4996.8
5076.9
H.R. q''
2
(W/m )
4100.4
4259.3
4377.6
4499.4
4746.3
4899.1
5021.9
5102.7
504.2
515.7
524.5
534.5
553.5
566.3
576.7
583.1
503.9
515.4
524.5
533.9
553.5
566.3
576.3
583.1
504.2
515.7
524.2
534.2
553.5
566.0
576.3
583.1
Tcl
(K)
503.9
515.4
524.2
533.6
553.1
565.7
576.0
582.7
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
Correction
Factor
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
515.5
528.4
537.5
547.9
565.9
574.0
586.2
593.6
515.6
528.8
538.5
548.2
565.9
574.1
586.2
594.2
514.5
526.6
535.4
545.5
565.0
573.3
585.9
593.8
Tbulk
(K)
515.0
528.4
537.8
547.7
566.1
573.6
585.6
593.2
3186.9
3094.6
3032.2
2963.9
2852.5
2804.8
2736.2
2695.8
3186.1
3091.4
3025.3
2961.6
2852.1
2804.0
2736.1
2692.6
3194.7
3107.1
3046.4
2979.0
2857.8
2808.6
2737.5
2694.7
3190.5
3094.7
3030.4
2965.0
2851.0
2807.1
2739.4
2698.3
Re (z)
Table SC-3166-A.1: Summary of Steam Cooling Data (cont.)
98.16
91.12
91.61
91.37
103.69
172.85
142.85
130.39
94.74
85.97
84.97
85.15
103.54
170.54
138.49
124.25
108.46
106.14
106.37
107.73
111.92
180.74
141.73
128.27
h (z)
2
(W/m -K)
100.34
89.61
88.15
86.74
99.73
168.15
142.59
133.15
8.23
7.53
7.55
7.51
8.59
15.59
12.30
11.03
7.90
7.06
6.94
6.94
8.55
15.27
11.81
10.39
9.21
8.93
8.92
9.01
9.34
16.46
12.16
10.80
±σhtc
(W/m2-K)
8.40
7.36
7.21
7.06
8.18
14.97
12.20
11.23
8.38%
8.26%
8.24%
8.22%
8.28%
9.02%
8.61%
8.46%
8.34%
8.21%
8.17%
8.15%
8.26%
8.95%
8.52%
8.36%
8.49%
8.42%
8.39%
8.37%
8.35%
9.11%
8.58%
8.42%
Fractional
Uncertainty
8.37%
8.22%
8.17%
8.14%
8.20%
8.90%
8.55%
8.43%
30.50
27.41
26.93
26.17
28.41
46.44
37.27
33.42
29.43
25.83
24.91
24.37
28.37
45.80
36.13
31.80
33.79
32.07
31.44
31.04
30.73
48.63
36.99
32.86
31.22
26.96
25.90
24.86
27.31
45.21
37.25
34.16
Nu(z)
RBHT Steam Cooling Test SC-3166-B
Matrix test # 2
Test date – 3/21/2005
Steady state time window: 18660 – 19260 sec
Inlet flow: 0.48 m3/min (17.1 ft3/min)
Inlet steam temperature: 406 K (272 °F)
Upper plenum pressure: 271.7 kPa (39.4 psia)
Bundle power: 14.0 kW
Outlet steam temperature: 825 K (1026 °F)
Bundle inlet Reynolds number: 1965
Subchannel Centerline Temperatures
The equations below were correlated using the axial subchannel centerline temperature
distribution.
Subchannels D5 and E5 (use for inner 3x3 rod bundle thermocouple locations)
Tcl = -18.477x3 + 106.36x2 - 31.321x + 429.69
Subchannel C5 (use for 5x5 peripheral rod bundle thermocouple locations)
Tcl = -10.78x3 + 62.962x2 + 26.651x + 409.87
where x is the elevation (m) and Tcl is in (K)
A-39
A-40
A-41
A-42
A-43
A-44
Subchannels D5 and E5 Axial Temperature Profile
y = -18.477x 3 + 106.36x 2 - 31.321x + 429.69
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
2.5
3
3.5
4
3.5
4
Elevation (m)
Subchannel C5 Axial Temperature PRofile
y = -10.78x 3 + 62.962x 2 + 26.651x + 409.87
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
Elevation (m)
A-45
2.5
3
A-46
241
242
243
244
245
246
247
248
201
202
204
205
208
193
194
195
196
197
198
199
200
RodE4_88.4
RodE4_91.2
RodE4_95.3
RodE4_100.9
RodE4_142.3
RodE3_63.4
RodE3_113.6
RodE3_115.5
RodE3_118.5
RodE3_122.7
RodE3_126.5
RodE3_131.7
RodE3_135.6
233
234
235
236
237
238
239
240
RodC4_88.4
RodC4_91.1
RodC4_93.4
RodC4_95.3
RodC4_100.1
RodC4_106.1
RodC4_110
RodC4_142.2
RodD4_88.3
RodD4_91.3
RodD4_93.2
RodD4_95.2
RodD4_100.1
RodD4_106.1
RodD4_110
RodD4_142.1
Channel
Number
185
186
187
188
189
190
191
192
H.R.
Location
RodD3_88.3
RodD3_91.3
RodD3_93.1
RodD3_95.3
RodD3_100.1
RodD3_106.1
RodD3_110
RodD3_142.1
1.610
2.885
2.934
3.010
3.117
3.213
3.345
3.444
2.245
2.316
2.421
2.563
3.614
2.243
2.319
2.367
2.418
2.543
2.695
2.794
3.609
2.245
2.314
2.372
2.421
2.543
2.695
2.794
3.612
Elevation
(m)
2.243
2.319
2.365
2.421
2.543
2.695
2.794
3.609
0.417
0.022
0.070
0.146
0.253
0.349
-0.046
0.053
-0.003
0.069
0.173
0.315
0.224
-0.005
0.071
0.119
0.170
0.295
0.447
0.546
0.218
-0.003
0.066
0.124
0.173
0.295
0.447
0.546
0.221
Zgrid
(m)
-0.005
0.071
0.117
0.173
0.295
0.447
0.546
0.218
628.0
809.0
815.3
822.5
828.9
832.2
834.5
836.3
715.5
730.1
753.8
776.6
844.2
721.5
736.4
748.4
760.4
783.5
798.8
802.2
848.1
712.6
730.1
743.4
755.2
779.1
793.6
796.0
844.4
H.R. Tw
(K)
712.8
729.8
742.4
757.2
780.1
798.0
803.1
840.7
3093.6
3804.1
3663.5
3438.6
3124.8
2840.1
2452.5
2158.0
3733.2
3806.3
3910.5
4052.7
1530.7
3791.3
3871.9
3921.3
3974.4
4105.5
4266.0
4121.2
1515.8
3802.9
3877.1
3938.5
3990.2
4119.7
4280.1
4141.9
1565.9
H.R. q''
(W/m2)
3762.5
3841.4
3887.0
3944.9
4072.3
4231.0
4178.4
1443.2
577.9
781.0
786.7
795.2
805.9
814.2
823.5
828.7
686.4
698.2
715.0
737.0
833.6
686.0
698.6
706.5
714.6
734.0
756.1
769.5
833.5
686.4
697.8
707.3
715.0
734.0
756.1
769.5
833.5
Tcl
(K)
686.0
698.6
706.1
715.0
734.0
756.1
769.5
833.5
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Correction
Factor
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
594.6
790.3
796.2
804.3
813.6
820.2
827.2
831.2
696.1
708.8
728.0
750.2
837.1
697.9
711.2
720.5
729.9
750.5
770.4
780.4
838.4
695.2
708.6
719.3
728.4
749.0
768.6
778.3
837.1
Tbulk
(K)
694.9
709.0
718.2
729.1
749.3
770.1
780.7
835.9
1437
1039
1031
1019
1007
998
989
983
1198
1173
1139
1139
1101
1194
1169
1152
1135
1100
1069
1054
974
1200
1174
1154
1138
1103
1072
1057
976
1200
1173
1156
1137
1102
1069
1053
977
Re (z)
Table SC-3166-B.1: Summary of Steam Cooling Data
92.73
203.88
192.36
189.23
203.49
237.86
335.12
426.35
193.09
179.24
151.27
153.74
216.05
160.25
153.77
140.19
130.39
124.31
150.00
188.79
155.97
218.16
179.89
163.81
149.07
136.86
171.16
234.34
217.26
h (z)
(W/m2-K)
211.12
185.05
160.66
140.27
132.40
151.62
186.63
299.04
10.98
26.20
24.58
24.39
27.30
34.70
62.95
104.36
24.66
22.50
18.46
18.73
41.87
19.60
18.64
16.79
15.48
14.65
17.93
23.45
25.42
28.23
22.29
19.95
17.90
16.23
20.73
30.27
41.47
±σhtc
(W/m2-K)
27.31
23.21
19.67
16.87
15.78
18.25
22.91
77.34
11.84%
12.85%
12.78%
12.89%
13.42%
14.59%
18.79%
24.48%
12.77%
12.55%
12.20%
12.18%
19.38%
12.23%
12.12%
11.97%
11.87%
11.79%
11.95%
12.42%
16.30%
12.94%
12.39%
12.18%
12.01%
11.86%
12.11%
12.92%
19.09%
Fractional
Uncertainty
12.94%
12.54%
12.25%
12.02%
11.92%
12.03%
12.28%
25.86%
23.71
34.63
32.32
31.34
33.15
38.29
53.29
67.32
39.41
35.64
28.94
29.41
39.57
32.59
30.43
27.23
24.85
22.76
26.44
32.66
24.32
44.62
35.79
31.89
28.49
25.13
30.27
40.70
33.95
43.20
36.78
31.35
26.78
24.29
26.74
32.27
46.84
Nu(z)
A-47
209
210
211
212
213
214
215
216
177
178
179
180
181
182
183
217
218
219
220
221
222
223
224
RodE5_63.6
RodE5_113.6
RodE5_115.4
RodE5_118.7
RodE5_122.6
RodE5_126.6
RodE5_131.6
RodE5_135.6
RodC3_79.8
RodC3_85.6
RodC3_88.5
RodC3_92.4
RodC3_94.4
RodC3_97.2
RodC3_108.8
RodD5_50
RodD5_54.1
RodD5_56.9
RodD5_60
RodD5_66.1
RodD5_69.9
RodD5_72.9
RodD5_74.9
H.R.
Channel
Location
Number
RodC5_63.7
225
RodC5_113.6
226
RodC5_115.7
227
RodC5_122.7
229
RodC5_126.7
230
RodC5_131.6
231
RodC5_135.7
232
1.270
1.374
1.445
1.524
1.679
1.775
1.852
1.902
2.027
2.174
2.248
2.347
2.398
2.469
2.764
1.615
2.885
2.931
3.015
3.114
3.216
3.343
3.444
Elevation
(m)
1.618
2.885
2.939
3.117
3.218
3.343
3.447
0.076
0.180
0.251
0.330
0.485
-0.025
0.051
0.102
0.227
0.374
0.000
0.099
0.150
0.221
0.516
0.422
0.022
0.067
0.151
0.250
0.352
-0.048
0.053
Zgrid
(m)
0.424
0.022
0.075
0.253
0.354
-0.048
0.056
574.2
594.8
607.0
619.1
638.3
641.4
658.0
669.6
681.7
696.0
707.5
729.7
742.0
757.7
795.4
628.1
802.0
808.5
818.4
826.4
831.2
835.7
838.5
H.R. Tw
(K)
627.8
800.9
809.2
826.7
832.0
835.4
840.4
2745.8
2854.3
2928.6
3009.8
3169.6
3268.4
3349.3
3402.0
3516.9
3669.5
3748.8
3850.9
3903.4
3975.2
4186.7
3107.0
3825.7
3694.4
3451.0
3163.5
2870.1
2503.6
2207.0
H.R. q''
(W/m2)
3033.0
3710.6
3561.8
3062.9
2778.9
2431.9
2138.9
523.6
539.5
550.8
563.6
589.5
606.0
619.1
627.8
649.3
674.5
686.9
703.2
711.4
722.6
765.5
578.8
781.0
786.4
795.7
805.6
814.4
823.4
828.7
Tcl
(K)
579.2
781.0
787.3
805.9
814.7
823.4
828.8
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Correction
Factor
1.50
1.50
1.50
1.50
1.50
1.50
1.50
540.5
558.0
569.5
582.1
605.8
617.8
632.0
641.8
660.1
681.7
693.7
712.0
721.6
734.3
775.4
595.2
788.0
793.8
803.3
812.5
820.0
827.5
831.9
Tbulk
(K)
595.4
787.6
794.6
812.8
820.4
827.4
832.7
1609
1549
1512
1474
1406
1374
1338
1315
1273
1227
1202
1167
1150
1128
1061
1436
1043
1034
1021
1008
998
988
982
1435
1043
1033
1008
997
988
982
Re (z)
81.38
77.44
78.18
81.29
97.34
138.32
129.12
122.25
162.81
255.87
273.02
217.85
191.55
170.09
210.23
94.54
273.71
251.09
228.91
229.06
256.53
304.42
336.21
h (z)
(W/m2-K)
93.56
279.22
243.75
220.32
240.32
303.74
275.02
Table SC-3166-B.1: Summary of Steam Cooling Data (cont.)
9.62
9.10
9.17
9.55
11.54
16.97
15.68
14.73
20.35
35.20
38.07
28.31
24.18
20.99
26.64
11.19
37.88
34.15
30.84
31.62
38.26
52.98
67.50
±σhtc
(W/m2-K)
11.26
39.83
33.68
30.75
35.74
54.12
49.67
11.82%
11.75%
11.73%
11.74%
11.85%
12.27%
12.14%
12.05%
12.50%
13.76%
13.95%
13.00%
12.62%
12.34%
12.67%
11.84%
13.84%
13.60%
13.47%
13.80%
14.92%
17.40%
20.08%
Fractional
Uncertainty
12.03%
14.26%
13.82%
13.96%
14.87%
17.82%
18.06%
23.74
21.63
21.23
21.42
24.25
33.51
30.28
28.05
35.87
53.83
56.00
43.04
37.12
32.14
36.71
24.14
46.69
42.38
37.98
37.38
41.31
48.38
53.02
23.88
47.66
41.08
35.93
38.67
48.29
43.32
Nu(z)
A-48
Channel
Number
153
154
155
156
157
158
159
160
105
106
107
108
109
110
111
112
57
58
59
60
61
62
63
64
137
138
139
140
141
142
143
144
H.R.
Location
RodB5_41
RodB5_52.9
RodB5_55
RodB5_57.8
RodB5_64
RodB5_73.9
RodB5_75.9
RodB5_76.9
RodF5_41
RodF5_53.1
RodF5_55
RodF5_57.8
RodF5_64
RodF5_73.8
RodF5_75.8
RodF5_76.8
RodC2_41
RodC2_53.1
RodC2_55
RodC2_57.8
RodC2_63.9
RodC2_73.8
RodC2_75.8
RodC2_76.8
RodC6_40.9
RodC6_52.8
RodC6_54.8
RodC6_57.8
RodC6_63.8
RodC6_73.7
RodC6_75.8
RodC6_76.8
1.039
1.341
1.392
1.468
1.621
1.872
1.925
1.951
1.041
1.349
1.397
1.468
1.623
1.875
1.925
1.951
1.041
1.349
1.397
1.468
1.626
1.875
1.925
1.951
Elevation
(m)
1.041
1.344
1.397
1.468
1.626
1.877
1.928
1.953
0.340
0.147
0.198
0.274
0.427
0.072
0.125
0.150
0.343
0.155
0.203
0.274
0.429
0.074
0.125
0.150
0.343
0.155
0.203
0.274
0.432
0.074
0.125
0.150
Zgrid
(m)
0.343
0.150
0.203
0.274
0.432
0.077
0.128
0.153
546.6
584.3
593.1
603.7
623.1
654.1
663.2
668.2
542.5
579.6
586.8
597.2
614.7
638.1
646.9
651.0
543.9
579.1
588.0
598.9
617.7
645.0
655.6
660.2
H.R. Tw
(K)
546.2
583.1
590.2
601.3
620.1
637.9
659.0
663.6
2479.1
2810.1
2865.4
2947.9
3114.4
3390.2
3448.2
3475.6
2491.8
2817.0
2867.6
2941.8
3104.3
3366.9
3419.2
3446.4
2478.7
2801.3
2852.1
2926.8
3093.1
3354.0
3406.9
3433.4
H.R. q''
(W/m2)
2494.6
2813.1
2868.4
2942.5
3107.4
2611.7
3424.1
3450.8
493.4
532.9
539.9
550.6
572.5
609.7
617.6
621.4
493.7
533.9
540.6
550.6
572.9
610.1
617.6
621.4
493.7
533.9
540.6
550.6
573.3
610.1
617.6
621.4
Tcl
(K)
493.7
533.2
540.6
550.6
573.3
610.4
618.0
621.8
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Correction
Factor
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
511.1
550.0
557.6
568.3
589.4
624.5
632.8
637.0
510.0
549.1
556.0
566.1
586.8
619.4
627.4
631.3
510.5
549.0
556.4
566.7
588.1
621.7
630.3
634.4
Tbulk
(K)
511.2
549.8
557.1
567.5
588.9
619.6
631.7
635.7
1720.0
1576.1
1550.5
1516.1
1452.3
1357.3
1336.5
1326.3
1724.7
1579.0
1555.9
1523.0
1459.8
1370.3
1349.9
1340.3
1722.8
1579.6
1554.7
1521.2
1456.2
1364.4
1342.8
1332.8
1719.7
1576.6
1552.1
1518.7
1453.8
1369.8
1339.4
1329.4
Re (z)
69.95
81.97
80.76
83.26
92.33
114.47
113.50
111.58
76.69
92.50
92.99
94.68
111.41
180.12
175.00
175.01
74.12
92.90
90.32
90.94
104.48
144.13
134.78
132.78
h (z)
(W/m2-K)
71.33
84.57
86.65
87.11
99.49
142.88
125.39
123.80
Table SC-3166-B.1: Summary of Steam Cooling Data (cont.)
8.29
9.69
9.52
9.81
10.90
13.65
13.50
13.24
9.12
11.05
11.09
11.28
13.41
23.02
22.17
22.21
8.83
11.14
10.79
10.84
12.54
17.77
16.47
16.18
±σhtc
(W/m2-K)
8.43
10.02
10.27
10.31
11.85
21.27
15.15
14.92
11.85%
11.83%
11.79%
11.79%
11.81%
11.93%
11.89%
11.87%
11.90%
11.94%
11.93%
11.92%
12.04%
12.78%
12.67%
12.69%
11.91%
11.99%
11.94%
11.92%
12.00%
12.33%
12.22%
12.19%
Fractional
Uncertainty
11.83%
11.85%
11.86%
11.84%
11.91%
14.88%
12.08%
12.05%
21.98
23.36
22.58
22.68
23.90
27.31
26.57
25.87
24.17
26.41
26.10
25.93
29.02
43.47
41.47
41.11
23.33
26.54
25.33
24.87
27.13
34.60
31.73
30.97
22.41
24.11
24.26
23.78
25.79
34.47
29.43
28.79
Nu(z)
A-49
Channel
Number
161
162
163
164
165
166
167
168
98
99
100
101
102
103
104
65
66
67
68
69
70
71
72
129
130
131
132
133
134
135
136
H.R.
Location
RodB4_88.4
RodB4_91.3
RodB4_93.3
RodB4_95.1
RodB4_100
RodB4_106
RodB4_109.9
RodB4_142.3
RodF4_85.6
RodF4_88.4
RodF4_92.4
RodF4_94.3
RodF4_97.2
RodF4_108.8
RodF4_111
RodD2_103.2
RodD2_106
RodD2_112.6
RodD2_114.9
RodD2_117.4
RodD2_120.8
RodD2_124.8
RodD2_128.6
RodD6_103.1
RodD6_106
RodD6_112.9
RodD6_114.9
RodD6_116.8
RodD6_120.9
RodD6_124.8
RodD6_128.7
2.619
2.692
2.868
2.918
2.967
3.071
3.170
3.269
2.621
2.692
2.860
2.918
2.982
3.068
3.170
3.266
2.174
2.245
2.347
2.395
2.469
2.764
2.819
Elevation
(m)
2.245
2.319
2.370
2.416
2.540
2.692
2.791
3.614
0.371
0.445
0.004
0.055
0.103
0.207
0.306
0.405
0.373
0.445
-0.004
0.055
0.118
0.204
0.306
0.403
0.374
0.445
0.547
0.595
0.669
0.963
-0.044
Zgrid
(m)
-0.003
0.071
0.122
0.168
0.292
0.445
0.544
1.367
763.7
769.5
783.8
790.1
797.5
808.5
817.3
822.3
761.8
772.1
789.3
797.3
810.3
810.3
816.2
819.4
691.4
698.7
724.5
735.7
750.7
787.0
791.5
H.R. Tw
(K)
700.5
718.0
729.2
737.9
756.4
776.0
780.6
828.2
4164.9
4240.6
3867.6
3710.1
3559.1
3231.4
2920.6
2610.9
4157.2
4232.6
3883.1
3701.1
3234.8
3234.8
2919.8
2619.8
3680.3
3753.2
3858.9
3908.6
3983.0
4203.5
4031.2
H.R. q''
(W/m2)
3727.6
3803.1
3853.8
3898.9
4022.1
4174.7
4040.7
1549.4
717.9
727.7
749.9
756.0
761.6
773.3
783.7
793.3
718.2
727.7
748.9
756.0
763.4
773.0
783.7
793.0
654.7
665.1
679.9
686.8
697.2
736.9
743.9
Tcl
(K)
665.1
675.8
683.2
689.7
707.1
727.7
740.4
819.7
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Correction
Factor
1.50
1.50
1.50
1.50
1.50
1.50
1.50
2.50
733.1
741.6
761.2
767.4
773.6
785.0
794.9
802.9
732.7
742.5
762.4
769.7
779.0
785.5
794.5
801.8
666.9
676.3
694.7
703.1
715.1
753.6
759.8
Tbulk
(K)
676.9
689.9
698.5
705.8
723.6
743.8
753.8
824.8
1129.6
1115.2
1083.3
1073.6
1064.0
1046.8
1032.6
1021.2
1130.4
1113.7
1081.3
1069.9
1055.8
1046.2
1033.1
1022.8
1258.0
1237.9
1200.5
1184.3
1161.9
1095.4
1085.5
1236.7
1210.1
1193.1
1179.2
1146.5
1111.6
1095.0
991.6
Re (z)
136.17
151.93
171.10
162.89
148.86
137.61
130.29
134.74
143.14
142.85
144.14
134.45
103.33
130.03
134.75
148.96
150.28
167.63
129.83
119.96
111.69
125.67
126.99
h (z)
(W/m2-K)
158.12
135.34
125.61
121.19
122.35
129.61
150.66
456.05
Table SC-3166-B.1: Summary of Steam Cooling Data (cont.)
16.21
18.25
21.21
20.17
18.30
16.98
16.21
17.22
17.15
17.07
17.47
16.26
12.97
15.93
16.86
19.43
18.40
20.80
15.55
14.25
13.18
14.87
15.09
±σhtc
(W/m2-K)
19.54
16.37
15.06
14.48
14.60
15.51
18.41
100.14
11.90%
12.01%
12.39%
12.38%
12.30%
12.34%
12.44%
12.78%
11.98%
11.95%
12.12%
12.10%
12.55%
12.25%
12.51%
13.05%
12.24%
12.41%
11.97%
11.88%
11.80%
11.84%
11.89%
Fractional
Uncertainty
12.36%
12.09%
11.99%
11.95%
11.94%
11.96%
12.22%
21.96%
25.79
28.30
30.69
28.88
26.08
23.60
21.95
22.37
27.13
26.56
25.79
23.73
17.92
22.28
22.71
24.78
32.63
35.67
26.58
24.13
21.93
22.87
22.84
33.60
27.99
25.51
24.25
23.62
24.04
27.41
72.82
Nu(z)
A-50
Channel
Number
73
74
75
76
77
78
79
80
169
170
171
172
173
174
175
176
89
90
91
92
93
94
95
96
121
122
123
124
H.R.
Location
RodE2_50.1
RodE2_54
RodE2_56.9
RodE2_59.9
RodE2_66
RodE2_69.8
RodE2_72.9
RodE2_74.9
RodB3_50.2
RodB3_54.1
RodB3_56.9
RodB3_60.1
RodB3_66.1
RodB3_69.9
RodB3_73
RodB3_75
RodF3_50.1
RodF3_54
RodF3_57
RodF3_60
RodF3_66.1
RodF3_70
RodF3_73
RodF3_75
RodE6_50.2
RodE6_54.1
RodE6_57
RodE6_60.2
1.275
1.374
1.448
1.529
1.273
1.372
1.448
1.524
1.679
1.778
1.854
1.905
1.275
1.374
1.445
1.527
1.679
1.775
1.854
1.905
Elevation
(m)
1.273
1.372
1.445
1.521
1.676
1.773
1.852
1.902
0.081
0.180
0.254
0.335
0.079
0.178
0.254
0.330
0.485
-0.022
0.054
0.105
0.081
0.180
0.251
0.333
0.485
-0.025
0.054
0.105
Zgrid
(m)
0.079
0.178
0.251
0.328
0.483
-0.027
0.051
0.102
567.8
585.6
596.1
608.5
568.4
587.0
597.9
608.2
623.6
627.2
642.6
654.5
558.9
574.3
586.1
598.4
617.8
621.8
636.9
647.2
H.R. Tw
(K)
564.6
584.6
595.8
607.5
623.4
625.9
639.0
648.5
2736.6
2839.9
2915.9
2999.9
2738.0
2843.6
2925.5
3007.7
3173.4
3278.6
3360.7
3415.0
2737.4
2841.5
2915.9
3001.3
3160.0
3261.7
3344.4
3397.7
H.R. q''
(W/m2)
2754.7
2860.3
2938.1
3018.8
3183.3
3284.4
3366.7
3421.1
523.9
537.4
547.7
559.3
523.5
537.1
547.7
558.6
581.1
595.7
607.0
614.6
523.9
537.4
547.4
558.9
581.1
595.3
607.0
614.6
Tcl
(K)
523.5
537.1
547.4
558.2
580.7
595.0
606.7
614.2
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Correction
Factor
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
538.5
553.5
563.9
575.7
538.5
553.7
564.4
575.1
595.3
606.2
618.9
627.9
535.5
549.7
560.3
572.1
593.3
604.2
617.0
625.5
Tbulk
(K)
537.2
552.9
563.5
574.6
595.0
605.3
617.5
625.6
1616.2
1564.4
1530.2
1493.1
1616.3
1563.6
1528.4
1494.9
1435.5
1405.2
1371.6
1348.7
1626.8
1577.1
1541.9
1504.3
1441.0
1410.8
1376.6
1354.8
1620.7
1566.2
1531.3
1496.4
1436.4
1407.7
1375.3
1354.4
Re (z)
93.51
88.45
90.33
91.36
91.58
85.44
87.46
90.94
111.92
156.39
141.88
128.33
117.35
115.54
113.00
114.16
128.91
184.75
168.24
156.28
h (z)
(W/m2-K)
100.50
90.20
90.92
91.84
111.71
159.05
155.96
149.93
Table SC-3166-B.1: Summary of Steam Cooling Data (cont.)
11.22
10.52
10.74
10.85
10.95
10.12
10.35
10.77
13.42
19.52
17.37
15.51
14.46
14.13
13.73
13.84
15.76
23.91
21.25
19.43
±σhtc
(W/m2-K)
12.08
10.69
10.76
10.85
13.36
19.87
19.34
18.47
12.00%
11.90%
11.89%
11.88%
11.96%
11.85%
11.84%
11.84%
11.99%
12.48%
12.24%
12.09%
12.32%
12.23%
12.15%
12.12%
12.23%
12.94%
12.63%
12.43%
Fractional
Uncertainty
12.02%
11.85%
11.83%
11.81%
11.96%
12.49%
12.40%
12.32%
27.42
24.99
24.87
24.44
26.85
24.12
24.05
24.37
28.57
38.92
34.28
30.37
34.67
32.95
31.39
30.81
33.06
46.19
40.83
37.19
29.56
25.51
25.06
24.63
28.54
39.66
37.81
35.67
Nu(z)
RBHT Steam Cooling Test SC-3166-C
Matrix test # 1
Test date – 3/21/2005
Steady state time window: 25050 - 25550 sec
Inlet flow: 0.33 m3/min (11.5 ft3/min)
Inlet steam temperature: 406 K (272 °F)
Upper plenum pressure: 271.7 kPa (39.4 psia)
Bundle power: 10.3 kW
Outlet steam temperature: 810 K (999 °F)
Bundle inlet Reynolds number: 1320
Subchannel Centerline Temperatures
The equations below were correlated using the axial subchannel centerline temperature
distribution.
Subchannels D5 and E5 (use for inner 3x3 rod bundle thermocouple locations)
Tcl = -15.802x3 + 89.248x2 - 6.8734x + 421.94
Subchannel C5 (use for 5x5 peripheral rod bundle thermocouple locations)
Tcl = -10.723x3 + 60.253x2 + 30.582x + 409.62
where x is the elevation (m) and Tcl is in (K)
A-51
A-52
A-53
A-54
A-55
A-56
Subchannels D5 and E5 Axial Temperature Profile
y = -15.802x 3 + 89.248x 2 - 6.8734x + 421.94
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
2.5
3
3.5
4
3.5
4
Elevation (m)
Subchannel C5 Axial Temperature Profile
3
2
y = -10.723x + 60.253x + 30.582x + 409.62
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
Elevation (m)
A-57
2.5
3
A-58
241
242
243
244
245
246
247
248
201
202
204
205
208
193
194
195
196
197
198
199
200
RodE4_88.4
RodE4_91.2
RodE4_95.3
RodE4_100.9
RodE4_142.3
RodE3_63.4
RodE3_113.6
RodE3_115.5
RodE3_118.5
RodE3_122.7
RodE3_126.5
RodE3_131.7
RodE3_135.6
233
234
235
236
237
238
239
240
RodC4_88.4
RodC4_91.1
RodC4_93.4
RodC4_95.3
RodC4_100.1
RodC4_106.1
RodC4_110
RodC4_142.2
RodD4_88.3
RodD4_91.3
RodD4_93.2
RodD4_95.2
RodD4_100.1
RodD4_106.1
RodD4_110
RodD4_142.1
Channel
Number
185
186
187
188
189
190
191
192
H.R.
Location
RodD3_88.3
RodD3_91.3
RodD3_93.1
RodD3_95.3
RodD3_100.1
RodD3_106.1
RodD3_110
RodD3_142.1
1.610
2.885
2.934
3.010
3.117
3.213
3.345
3.444
2.245
2.316
2.421
2.563
3.614
2.243
2.319
2.367
2.418
2.543
2.695
2.794
3.609
2.245
2.314
2.372
2.421
2.543
2.695
2.794
3.612
Elevation
(m)
2.243
2.319
2.365
2.421
2.543
2.695
2.794
3.609
0.417
0.022
0.070
0.146
0.253
0.349
-0.046
0.053
-0.003
0.069
0.173
0.315
0.224
-0.005
0.071
0.119
0.170
0.295
0.447
0.546
0.218
-0.003
0.066
0.124
0.173
0.295
0.447
0.546
0.221
Zgrid
(m)
-0.005
0.071
0.117
0.173
0.295
0.447
0.546
0.218
614.8
788.1
793.8
799.8
805.4
808.6
812.3
813.5
702.0
714.9
735.3
755.2
818.1
707.9
722.0
732.5
743.0
763.1
776.0
781.7
822.0
700.3
715.8
727.9
738.3
759.0
770.9
775.9
818.5
H.R. Tw
(K)
699.9
715.2
726.6
739.2
758.4
774.4
781.2
818.8
2256.9
2765.4
2661.4
2495.9
2262.9
2053.0
1768.1
1550.8
2719.5
2771.8
2846.0
2950.6
1089.1
2761.0
2819.9
2856.3
2894.9
2898.1
2901.3
2904.4
1075.1
2772.5
2824.9
2869.7
2905.0
2997.6
3115.0
3015.9
1115.3
H.R. q''
2
(W/m )
2738.7
2795.7
2830.1
2871.8
2961.6
3079.0
3038.9
1025.0
576.3
765.6
770.9
778.9
789.1
797.1
806.2
811.4
677.6
688.5
704.1
724.5
816.9
677.2
688.9
696.2
703.7
721.7
742.3
754.8
816.8
677.6
688.1
697.0
704.1
721.7
742.3
754.8
816.9
Tcl
(K)
677.2
688.9
695.8
704.1
721.7
742.3
754.8
816.8
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Correction
Factor
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
589.1
773.1
778.5
785.9
794.5
800.9
808.2
812.1
685.7
697.3
714.5
734.8
817.3
687.4
699.9
708.3
716.8
735.5
753.6
763.8
818.5
685.1
697.3
707.3
715.5
734.1
751.8
761.8
817.4
Tbulk
(K)
684.7
697.7
706.1
715.8
733.9
753.0
763.6
817.5
977
716
710
703
694
688
682
678
819
804
782
757
673
817
800
789
779
757
736
725
672
820
803
791
780
758
738
727
673
820
803
792
780
758
737
726
673
Re (z)
Table SC-3166-C.1: Summary of Steam Cooling Data
88.05
184.06
174.82
179.12
207.98
268.08
434.52
1073.53
167.25
157.32
136.87
144.20
1348.25
134.93
127.66
117.89
110.61
104.90
129.21
162.06
312.63
183.49
153.23
139.12
127.43
120.45
163.58
214.56
1001.31
h (z)
2
(W/m -K)
181.24
159.48
138.05
122.81
121.13
143.98
172.33
760.43
13.13
29.71
28.12
29.33
36.46
54.33
132.92
833.64
26.59
24.68
21.00
22.18
1851.92
20.49
19.21
17.58
16.38
15.83
20.38
25.73
110.83
29.23
23.56
21.06
19.08
17.88
25.04
34.82
1002.40
±σhtc
(W/m2-K)
29.08
24.90
21.09
18.49
18.17
21.89
26.62
633.65
14.91%
16.14%
16.08%
16.38%
17.53%
20.27%
30.59%
77.65%
15.90%
15.69%
15.34%
15.38%
137.36%
15.19%
15.05%
14.91%
14.81%
15.09%
15.77%
15.87%
35.45%
15.93%
15.37%
15.14%
14.97%
14.85%
15.31%
16.23%
100.11%
Fractional
Uncertainty
16.05%
15.62%
15.27%
15.05%
15.00%
15.20%
15.45%
83.33%
22.81
32.28
30.35
30.67
35.06
44.67
71.46
175.32
34.89
32.03
26.90
27.22
218.15
28.04
25.85
23.47
21.64
19.77
23.52
28.93
50.48
38.32
31.20
27.75
25.00
22.77
29.87
38.44
161.98
37.88
32.45
27.61
24.07
22.90
26.23
30.77
123.00
Nu(z)
A-59
209
210
211
212
213
214
215
216
177
178
179
180
181
182
183
217
218
219
220
221
222
223
224
RodE5_63.6
RodE5_113.6
RodE5_115.4
RodE5_118.7
RodE5_122.6
RodE5_126.6
RodE5_131.6
RodE5_135.6
RodC3_79.8
RodC3_85.6
RodC3_88.5
RodC3_92.4
RodC3_94.4
RodC3_97.2
RodC3_108.8
RodD5_50
RodD5_54.1
RodD5_56.9
RodD5_60
RodD5_66.1
RodD5_69.9
RodD5_72.9
RodD5_74.9
H.R.
Channel
Location
Number
RodC5_63.7
225
RodC5_113.6
226
RodC5_115.7
227
RodC5_122.7
229
RodC5_126.7
230
RodC5_131.6
231
RodC5_135.7
232
1.270
1.374
1.445
1.524
1.679
1.775
1.852
1.902
2.027
2.174
2.248
2.347
2.398
2.469
2.764
1.615
2.885
2.931
3.015
3.114
3.216
3.343
3.444
Elevation
(m)
1.618
2.885
2.939
3.117
3.218
3.343
3.447
0.076
0.180
0.251
0.330
0.485
-0.025
0.051
0.102
0.227
0.374
0.000
0.099
0.150
0.221
0.516
0.422
0.022
0.067
0.151
0.250
0.352
-0.048
0.053
Zgrid
(m)
0.424
0.022
0.075
0.253
0.354
-0.048
0.056
567.3
585.5
596.2
606.8
625.9
634.0
648.7
658.2
668.9
683.5
696.2
715.7
726.7
740.5
773.4
614.6
782.9
787.9
796.3
803.1
807.5
813.0
815.2
H.R. Tw
(K)
615.3
781.5
788.7
803.6
808.1
812.9
817.1
2013.3
2088.9
2141.1
2200.2
2315.9
2391.4
2446.7
2483.4
2563.0
2673.0
2729.2
2801.5
2838.4
2890.3
3044.4
2269.9
2786.2
2690.3
2510.3
2296.0
2078.5
1807.5
1588.6
H.R. q''
(W/m2)
2216.0
2700.5
2591.8
2223.2
2012.3
1756.5
1539.6
524.8
540.0
550.7
562.8
587.2
602.6
614.9
623.1
643.1
666.5
678.0
693.1
700.7
711.2
751.0
577.1
765.6
770.6
779.4
788.8
797.3
806.0
811.4
Tcl
(K)
577.5
765.6
771.5
789.1
797.5
806.0
811.5
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Correction
Factor
1.50
1.50
1.50
1.50
1.50
1.50
1.50
539.0
555.2
565.9
577.5
600.1
613.1
626.2
634.8
651.7
672.2
684.0
700.7
709.4
721.0
758.5
589.6
771.3
776.4
785.0
793.6
800.7
808.3
812.6
Tbulk
(K)
590.1
770.9
777.2
793.9
801.0
808.3
813.4
1085
1048
1024
1000
956
932
909
895
868
838
821
799
788
774
731
976
717
712
704
695
689
681
677
975
718
711
695
688
681
677
Re (z)
Table SC-3166-C.1: Summary of Steam Cooling Data (cont.)
70.97
68.86
70.57
74.96
89.72
114.31
108.47
106.03
149.21
235.63
224.93
185.98
163.92
147.64
204.02
90.80
240.76
234.17
223.82
242.04
304.73
386.66
624.15
h (z)
(W/m2-K)
87.95
254.44
225.40
229.05
285.21
383.29
410.18
10.45
10.11
10.37
11.04
13.34
17.34
16.36
15.94
23.45
40.84
38.20
29.97
25.75
22.78
32.94
13.53
41.36
40.26
38.70
44.36
65.36
106.02
283.97
±σhtc
(W/m2-K)
13.33
45.70
39.40
42.20
60.66
107.27
133.79
14.73%
14.68%
14.69%
14.73%
14.87%
15.17%
15.08%
15.03%
15.71%
17.33%
16.98%
16.11%
15.71%
15.43%
16.15%
14.90%
17.18%
17.19%
17.29%
18.33%
21.45%
27.42%
45.50%
Fractional
Uncertainty
15.16%
17.96%
17.48%
18.42%
21.27%
27.99%
32.62%
20.78
19.37
19.33
19.97
22.65
27.99
25.78
24.71
33.49
50.58
47.08
37.61
32.56
28.64
36.78
23.49
42.36
40.81
38.39
40.87
50.79
63.57
101.83
22.73
44.81
39.22
38.65
47.51
63.02
66.83
Nu(z)
A-60
Channel
Number
153
154
155
156
157
158
159
160
105
106
107
108
109
110
111
112
57
58
59
60
61
62
63
64
137
138
139
140
141
142
143
144
H.R.
Location
RodB5_41
RodB5_52.9
RodB5_55
RodB5_57.8
RodB5_64
RodB5_73.9
RodB5_75.9
RodB5_76.9
RodF5_41
RodF5_53.1
RodF5_55
RodF5_57.8
RodF5_64
RodF5_73.8
RodF5_75.8
RodF5_76.8
RodC2_41
RodC2_53.1
RodC2_55
RodC2_57.8
RodC2_63.9
RodC2_73.8
RodC2_75.8
RodC2_76.8
RodC6_40.9
RodC6_52.8
RodC6_54.8
RodC6_57.8
RodC6_63.8
RodC6_73.7
RodC6_75.8
RodC6_76.8
1.039
1.341
1.392
1.468
1.621
1.872
1.925
1.951
1.041
1.349
1.397
1.468
1.623
1.875
1.925
1.951
1.041
1.349
1.397
1.468
1.626
1.875
1.925
1.951
Elevation
(m)
1.041
1.344
1.397
1.468
1.626
1.877
1.928
1.953
0.340
0.147
0.198
0.274
0.427
0.072
0.125
0.150
0.343
0.155
0.203
0.274
0.429
0.074
0.125
0.150
0.343
0.155
0.203
0.274
0.432
0.074
0.125
0.150
Zgrid
(m)
0.343
0.150
0.203
0.274
0.432
0.077
0.128
0.153
536.4
573.9
581.9
591.1
609.2
642.3
649.6
653.7
532.0
569.6
576.2
585.6
602.4
629.4
635.8
639.0
533.4
568.6
576.8
586.8
604.6
633.8
643.2
647.4
H.R. Tw
(K)
536.4
574.0
580.4
590.0
608.0
635.8
645.3
649.3
1819.2
2056.8
2096.5
2156.7
2276.8
2475.0
2516.1
2536.2
1828.5
2064.0
2099.5
2151.7
2269.3
2461.4
2496.4
2514.7
1816.3
2050.9
2086.7
2140.6
2258.1
2447.5
2485.2
2504.7
H.R. q''
2
(W/m )
1831.8
2060.4
2099.6
2152.5
2272.8
2462.5
2500.4
2519.3
494.4
533.1
540.0
550.5
571.8
607.7
615.3
619.0
494.7
534.2
540.7
550.5
572.1
608.0
615.3
619.0
494.7
534.2
540.7
550.5
572.5
608.0
615.3
619.0
Tcl
(K)
494.7
533.5
540.7
550.5
572.5
608.4
615.7
619.3
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Correction
Factor
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
508.4
546.7
554.0
564.0
584.3
619.2
626.7
630.5
507.1
546.0
552.5
562.2
582.2
615.1
622.1
625.7
507.6
545.7
552.7
562.6
583.2
616.6
624.6
628.4
Tbulk
(K)
508.6
547.0
553.9
563.6
584.3
617.5
625.6
629.3
1163.6
1066.9
1050.4
1028.3
986.3
921.4
908.5
902.2
1167.0
1068.6
1053.6
1032.2
990.3
928.5
916.3
910.3
1165.8
1069.4
1053.1
1031.4
988.4
925.9
912.1
905.6
1163.0
1066.3
1050.4
1029.1
986.2
924.3
910.5
904.1
Re (z)
Table SC-3166-C.1: Summary of Steam Cooling Data (cont.)
64.96
75.60
75.06
79.66
91.19
107.33
110.16
109.62
73.52
87.27
88.75
91.88
112.37
172.96
182.73
187.86
70.48
89.21
86.59
88.35
105.48
142.56
133.92
131.95
h (z)
2
(W/m -K)
65.96
76.24
79.32
81.71
96.00
134.59
126.59
125.87
9.64
11.21
11.10
11.80
13.58
16.07
16.53
16.43
10.98
13.08
13.31
13.80
17.15
28.00
29.88
30.87
10.55
13.47
13.02
13.28
16.05
22.34
20.75
20.37
±σhtc
(W/m2-K)
9.76
11.30
11.78
12.15
14.40
20.82
19.38
19.28
14.85%
14.83%
14.79%
14.81%
14.89%
14.97%
15.01%
14.98%
14.94%
14.99%
15.00%
15.02%
15.26%
16.19%
16.35%
16.44%
14.97%
15.10%
15.04%
15.03%
15.22%
15.67%
15.49%
15.44%
Fractional
Uncertainty
14.79%
14.82%
14.85%
14.86%
15.00%
15.47%
15.31%
15.31%
20.56
21.72
21.18
21.93
23.90
25.91
26.14
25.79
23.34
25.11
25.13
25.40
29.59
42.15
43.82
44.69
22.35
25.69
24.50
24.40
27.71
34.63
31.94
31.19
20.86
21.88
22.38
22.51
25.15
32.62
30.12
29.70
Nu(z)
A-61
Channel
Number
161
162
163
164
165
166
167
168
98
99
100
101
102
103
104
65
66
67
68
69
70
71
72
129
130
131
132
133
134
135
136
H.R.
Location
RodB4_88.4
RodB4_91.3
RodB4_93.3
RodB4_95.1
RodB4_100
RodB4_106
RodB4_109.9
RodB4_142.3
RodF4_85.6
RodF4_88.4
RodF4_92.4
RodF4_94.3
RodF4_97.2
RodF4_108.8
RodF4_111
RodD2_103.2
RodD2_106
RodD2_112.6
RodD2_114.9
RodD2_117.4
RodD2_120.8
RodD2_124.8
RodD2_128.6
RodD6_103.1
RodD6_106
RodD6_112.9
RodD6_114.9
RodD6_116.8
RodD6_120.9
RodD6_124.8
RodD6_128.7
2.619
2.692
2.868
2.918
2.967
3.071
3.170
3.269
2.621
2.692
2.860
2.918
2.982
3.068
3.170
3.266
2.174
2.245
2.347
2.395
2.469
2.764
2.819
Elevation
(m)
2.245
2.319
2.370
2.416
2.540
2.692
2.791
3.614
0.371
0.445
0.004
0.055
0.103
0.207
0.306
0.405
0.373
0.445
-0.004
0.055
0.118
0.204
0.306
0.403
0.374
-0.003
0.099
0.147
0.221
0.516
-0.044
Zgrid
(m)
-0.003
0.071
0.122
0.168
0.292
0.445
0.544
0.224
743.0
748.9
766.6
772.4
778.8
787.7
794.3
799.5
740.8
750.7
772.0
778.1
789.2
789.2
794.7
798.1
676.2
685.6
707.0
716.9
730.8
765.3
770.9
H.R. Tw
(K)
688.2
703.3
712.7
719.9
736.3
754.0
761.2
801.5
3036.4
3091.2
2822.3
2705.7
2591.4
2349.7
2118.1
1890.0
3026.5
3080.4
2824.5
2693.4
2347.9
2347.9
2114.5
1896.3
2679.2
2736.0
2809.3
2843.9
2898.0
3059.7
2934.1
H.R. q''
2
(W/m )
2719.3
2772.4
2808.4
2841.0
2930.6
3043.8
2945.2
1107.9
710.3
719.4
739.9
745.5
750.7
761.2
770.5
778.9
710.7
719.4
739.1
745.5
752.3
761.0
770.5
778.7
650.7
660.7
674.7
681.2
691.0
728.0
734.5
Tcl
(K)
660.7
670.8
677.8
683.9
700.3
719.4
731.2
801.0
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Correction
Factor
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
721.2
729.3
748.8
754.5
760.1
770.0
778.4
785.8
720.7
729.9
750.0
756.4
764.6
770.4
778.5
785.2
659.2
669.0
685.4
693.1
704.3
740.4
746.6
Tbulk
(K)
669.8
681.7
689.4
695.9
712.3
731.0
741.2
801.1
773.5
763.8
741.5
735.3
729.3
718.8
710.3
702.9
774.1
763.1
740.2
733.3
724.5
718.5
710.1
703.5
856.9
842.5
819.4
809.1
794.5
750.9
744.0
841.3
824.6
814.0
805.4
784.4
761.8
750.0
688.1
Re (z)
Table SC-3166-C.1: Summary of Steam Cooling Data (cont.)
139.65
157.59
158.71
150.81
138.02
133.18
133.34
137.55
150.53
148.04
128.80
124.08
95.39
124.78
130.58
146.11
157.99
164.50
130.20
119.48
109.31
122.85
120.82
h (z)
(W/m2-K)
148.16
128.13
120.72
118.54
122.14
131.98
147.49
3233.81
21.11
24.14
24.75
23.50
21.39
20.88
21.35
22.77
23.04
22.56
19.61
18.91
15.26
19.42
20.86
24.52
24.85
25.94
19.80
17.99
16.32
18.39
18.12
±σhtc
(W/m2-K)
23.09
19.56
18.30
17.92
18.48
20.05
22.88
10422.40
15.12%
15.32%
15.60%
15.58%
15.50%
15.68%
16.01%
16.55%
15.30%
15.24%
15.22%
15.24%
15.99%
15.56%
15.97%
16.78%
15.73%
15.77%
15.21%
15.06%
14.93%
14.97%
15.00%
Fractional
Uncertainty
15.58%
15.26%
15.16%
15.12%
15.13%
15.19%
15.51%
322.29%
27.08
30.07
29.15
27.40
24.81
23.49
23.15
23.56
29.22
28.22
23.60
22.46
17.00
22.00
22.67
25.05
34.88
35.56
27.17
24.54
21.94
22.93
22.28
31.96
26.96
24.99
24.21
24.12
25.10
27.49
538.59
Nu(z)
A-62
Channel
Number
73
74
75
76
77
78
79
80
169
170
171
172
173
174
175
176
89
90
91
92
93
94
95
96
121
122
123
124
125
126
127
128
H.R.
Location
RodE2_50.1
RodE2_54
RodE2_56.9
RodE2_59.9
RodE2_66
RodE2_69.8
RodE2_72.9
RodE2_74.9
RodB3_50.2
RodB3_54.1
RodB3_56.9
RodB3_60.1
RodB3_66.1
RodB3_69.9
RodB3_73
RodB3_75
RodF3_50.1
RodF3_54
RodF3_57
RodF3_60
RodF3_66.1
RodF3_70
RodF3_73
RodF3_75
RodE6_50.2
RodE6_54.1
RodE6_57
RodE6_60.2
RodE6_66.1
RodE6_70
RodE6_73.1
RodE6_75
1.275
1.374
1.448
1.529
1.679
1.778
1.857
1.905
1.273
1.372
1.448
1.524
1.679
1.778
1.854
1.905
1.275
1.374
1.445
1.527
1.679
1.775
1.854
1.905
Elevation
(m)
1.273
1.372
1.445
1.521
1.676
1.773
1.852
1.902
0.081
0.180
0.254
0.335
0.485
-0.022
0.056
0.105
0.079
0.178
0.254
0.330
0.485
-0.022
0.054
0.105
0.081
0.180
0.251
0.333
0.485
-0.025
0.054
0.105
Zgrid
(m)
0.079
0.178
0.251
0.328
0.483
-0.027
0.051
0.102
560.3
575.2
583.8
595.0
613.3
620.7
634.3
642.5
558.4
574.5
584.6
594.1
611.4
619.2
632.0
641.9
552.7
566.7
578.3
589.1
606.7
614.3
626.7
635.7
H.R. Tw
(K)
556.9
574.2
583.7
593.8
610.6
616.8
628.8
636.3
2004.5
2075.4
2129.4
2191.6
2305.1
2380.5
2439.0
2471.3
2005.0
2082.1
2138.3
2195.8
2317.9
2398.0
2456.6
2492.8
2006.1
2079.3
2133.1
2193.9
2307.7
2383.3
2441.5
2479.7
H.R. q''
2
(W/m )
2017.2
2091.5
2146.8
2204.2
2324.2
2400.4
2460.2
2497.2
524.3
537.6
547.6
558.9
580.1
594.2
605.5
612.4
524.0
537.2
547.6
558.2
580.1
594.2
605.1
612.4
524.3
537.6
547.3
558.6
580.1
593.8
605.1
612.4
Tcl
(K)
524.0
537.2
547.3
557.9
579.7
593.5
604.8
612.0
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Correction
Factor
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
536.3
550.1
559.7
571.0
591.1
603.0
615.1
622.4
535.5
549.7
560.0
570.2
590.5
602.5
614.1
622.2
533.8
547.3
557.6
568.7
589.0
600.6
612.3
620.2
Tbulk
(K)
535.0
549.6
559.4
569.8
590.0
601.2
612.8
620.1
1091.6
1059.1
1037.6
1013.5
972.8
950.3
928.6
915.8
1093.6
1060.1
1037.0
1015.1
974.0
951.3
930.4
916.1
1097.7
1065.6
1042.2
1018.1
977.0
954.8
933.5
919.7
1094.9
1060.3
1038.2
1015.8
975.0
953.6
932.7
919.8
Re (z)
Table SC-3166-C.1: Summary of Steam Cooling Data (cont.)
83.61
82.80
88.28
91.07
104.13
134.52
126.78
123.06
87.42
83.84
86.71
91.77
110.99
144.05
137.33
126.73
105.99
107.27
103.37
107.88
129.69
174.95
169.42
159.72
h (z)
2
(W/m -K)
92.08
84.86
88.48
91.99
112.83
154.35
153.25
154.34
12.53
12.38
13.25
13.67
15.76
20.95
19.51
18.86
13.15
12.51
12.95
13.75
16.84
22.55
21.24
19.36
16.31
16.47
15.74
16.46
20.17
28.62
27.38
25.42
±σhtc
(W/m2-K)
13.86
12.63
13.19
13.73
17.11
24.43
24.11
24.26
14.99%
14.95%
15.01%
15.01%
15.13%
15.57%
15.39%
15.32%
15.04%
14.92%
14.94%
14.98%
15.17%
15.65%
15.47%
15.27%
15.39%
15.35%
15.23%
15.26%
15.55%
16.36%
16.16%
15.92%
Fractional
Uncertainty
15.05%
14.88%
14.91%
14.93%
15.16%
15.82%
15.73%
15.72%
24.65
23.59
24.56
24.65
26.85
33.72
30.90
29.49
25.83
23.91
24.10
24.88
28.66
36.15
33.55
30.39
31.45
30.77
28.90
29.35
33.61
44.10
41.56
38.48
27.24
24.21
24.63
24.96
29.17
38.85
37.55
37.19
Nu(z)
RBHT Steam Cooling Test SC-3171-A
Matrix test # 16
Test date – 3/24/2005
Steady state time window: 16560 - 17160 sec
Inlet flow: 0.48 m3/min (17.0 ft3/min)
Inlet steam temperature: 406 K (272 °F)
Upper plenum pressure: 271.7 kPa (39.4 psia)
Bundle power: 7.1 kW
Outlet steam temperature: 620 K (657 °F)
Bundle inlet Reynolds number: 1957
Subchannel Centerline Temperatures
The equations below were correlated using the axial subchannel centerline temperature
distribution.
Subchannels D5 and E5 (use for inner 3x3 rod bundle thermocouple locations)
Tcl = -7.3809x3 + 47.254x2 - 16.084x + 417.71
Subchannel C5 (use for 5x5 peripheral rod bundle thermocouple locations)
Tcl = -4.3898x3 + 27.869x2 + 12.056x + 408.04
where x is the elevation (m) and Tcl is in (K)
A-63
A-64
A-65
A-66
A-67
A-68
Subchannels D5 and E5 Axial Temperature Profile
y = -7.3809x 3 + 47.254x 2 - 16.084x + 417.71
650
Temperature (deg K)
600
550
500
450
400
350
0
0.5
1
1.5
2
2.5
3
3.5
4
3.5
4
Elevation (m)
Subchannel C5 Axial Temperature Profile
y = -4.3898x 3 + 27.869x 2 + 12.056x + 408.04
650
Temperature (deg K)
600
550
500
450
400
350
0
0.5
1
1.5
2
Elevation (m)
A-69
2.5
3
A-70
241
242
243
244
245
246
247
248
201
202
204
205
208
193
194
195
196
197
198
199
200
RodE4_88.4
RodE4_91.2
RodE4_95.3
RodE4_100.9
RodE4_142.3
RodE3_63.4
RodE3_113.6
RodE3_115.5
RodE3_118.5
RodE3_122.7
RodE3_126.5
RodE3_131.7
RodE3_135.6
233
234
235
236
237
238
239
240
RodC4_88.4
RodC4_91.1
RodC4_93.4
RodC4_95.3
RodC4_100.1
RodC4_106.1
RodC4_110
RodC4_142.2
RodD4_88.3
RodD4_91.3
RodD4_93.2
RodD4_95.2
RodD4_100.1
RodD4_106.1
RodD4_110
RodD4_142.1
Channel
Number
185
186
187
188
189
190
191
192
H.R.
Location
RodD3_88.3
RodD3_91.3
RodD3_93.1
RodD3_95.3
RodD3_100.1
RodD3_106.1
RodD3_110
RodD3_142.1
1.610
2.885
2.934
3.010
3.117
3.213
3.345
3.444
2.245
2.316
2.421
2.563
3.614
2.243
2.319
2.367
2.418
2.543
2.695
2.794
3.609
2.245
2.314
2.372
2.421
2.543
2.695
2.794
3.612
Elevation
(m)
2.243
2.319
2.365
2.421
2.543
2.695
2.794
3.609
0.417
0.022
0.070
0.146
0.253
0.349
-0.046
0.053
-0.003
0.069
0.173
0.315
0.224
-0.005
0.071
0.119
0.170
0.295
0.447
0.546
0.218
-0.003
0.066
0.124
0.173
0.295
0.447
0.546
0.221
Zgrid
(m)
-0.005
0.071
0.117
0.173
0.295
0.447
0.546
0.218
514.1
608.1
612.5
618.3
623.4
625.6
626.3
627.3
553.8
562.9
577.0
590.0
634.0
558.0
566.7
573.6
580.5
593.4
603.0
605.7
635.3
552.7
562.7
570.5
577.3
590.3
599.2
600.8
631.0
H.R.Tw
(K)
553.4
564.0
570.8
578.9
592.2
602.1
603.0
628.2
1547.6
1910.7
1838.9
1726.3
1567.7
1423.7
1226.0
1075.7
1867.0
1904.4
1959.2
2031.6
749.6
1907.8
1948.9
1975.8
2004.4
2071.5
2151.0
2072.6
752.6
1906.7
1944.1
1977.1
2004.3
2069.9
2150.2
2078.0
771.6
H.R. q''
(W/m2)
1885.7
1925.8
1950.4
1981.1
2045.9
2126.1
2102.1
718.1
410.3
597.9
603.8
612.7
624.2
633.8
645.1
652.3
507.1
518.0
533.7
554.5
661.5
506.7
518.4
525.7
533.3
551.6
573.1
586.3
661.3
507.1
517.6
526.5
533.7
551.6
573.1
586.3
661.4
Tcl
(°F)
506.7
518.4
525.3
533.7
551.6
573.1
586.3
661.3
483.3
587.5
590.8
595.7
602.2
607.5
613.8
617.7
537.1
543.1
551.9
563.5
622.9
536.9
543.4
547.4
551.7
561.8
573.7
581.1
622.8
537.1
542.9
547.9
551.9
561.8
573.7
581.1
622.8
Tcl
(K)
536.9
543.4
547.2
551.9
561.8
573.7
581.1
622.8
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Correction
Factor
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
493.6
594.4
598.0
603.3
609.2
613.5
617.9
620.9
542.7
549.7
560.3
572.3
626.6
543.9
551.1
556.1
561.3
572.4
583.5
589.3
626.9
542.3
549.5
555.4
560.4
571.3
582.2
587.7
625.6
Tbulk
(K)
542.4
550.2
555.1
560.9
571.9
583.2
588.4
624.6
1786
1432
1422
1407
1391
1380
1368
1361
1595
1571
1536
1497
1346
1590
1566
1549
1532
1497
1464
1447
1346
1596
1571
1552
1535
1500
1467
1451
1349
1596
1569
1553
1534
1499
1464
1449
1352
Re (z)
Table SC-3171-A.1: Summary of Steam Cooling Data
75.43
139.78
127.25
114.67
110.98
117.39
147.32
169.12
167.61
144.83
116.76
114.67
101.11
135.29
125.20
113.43
104.14
98.43
110.34
126.17
90.08
183.63
147.52
131.19
118.09
109.13
126.57
157.87
141.22
h (z)
(W/m2-K)
171.41
139.99
123.82
110.15
101.18
112.36
144.02
199.03
15.33
29.56
26.68
23.86
23.20
25.03
34.21
43.32
36.85
30.94
24.21
23.67
25.35
28.14
25.72
23.01
20.93
19.65
22.16
25.89
21.84
40.38
31.01
27.05
24.02
21.96
25.73
33.26
39.72
±σhtc
(W/m2-K)
37.50
29.48
25.63
22.49
20.46
22.83
29.64
73.38
20.32%
21.15%
20.96%
20.81%
20.90%
21.32%
23.22%
25.62%
21.99%
21.36%
20.73%
20.64%
25.07%
20.80%
20.54%
20.29%
20.10%
19.96%
20.08%
20.52%
24.24%
21.99%
21.02%
20.62%
20.34%
20.13%
20.33%
21.07%
28.13%
Fractional
Uncertainty
21.88%
21.06%
20.70%
20.42%
20.22%
20.32%
20.58%
36.87%
24.79
35.76
32.27
28.73
27.42
28.72
35.67
40.67
48.64
41.29
32.44
30.93
24.00
39.13
35.57
31.83
28.86
26.55
28.97
32.67
21.37
53.33
42.08
36.88
32.80
29.51
33.33
41.04
33.60
49.77
39.86
34.84
30.55
27.32
29.52
37.37
47.47
Nu(z)
A-71
209
210
211
212
213
214
215
216
177
178
179
180
181
182
183
217
218
219
220
221
222
223
224
RodE5_63.6
RodE5_113.6
RodE5_115.4
RodE5_118.7
RodE5_122.6
RodE5_126.6
RodE5_131.6
RodE5_135.6
RodC3_79.8
RodC3_85.6
RodC3_88.5
RodC3_92.4
RodC3_94.4
RodC3_97.2
RodC3_108.8
RodD5_50
RodD5_54.1
RodD5_56.9
RodD5_60
RodD5_66.1
RodD5_69.9
RodD5_72.9
RodD5_74.9
H.R.
Channel
Location
Number
RodC5_63.7
225
RodC5_113.6
226
RodC5_115.7
227
RodC5_122.7
229
RodC5_126.7
230
RodC5_131.6
231
RodC5_135.7
232
1.270
1.374
1.445
1.524
1.679
1.775
1.852
1.902
2.027
2.174
2.248
2.347
2.398
2.469
2.764
1.615
2.885
2.931
3.015
3.114
3.216
3.343
3.444
Elevation
(m)
1.618
2.885
2.939
3.117
3.218
3.343
3.447
0.076
0.180
0.251
0.330
0.485
-0.025
0.051
0.102
0.227
0.374
0.000
0.099
0.150
0.221
0.516
0.422
0.022
0.067
0.151
0.250
0.352
-0.048
0.053
Zgrid
(m)
0.424
0.022
0.075
0.253
0.354
-0.048
0.056
485.0
495.5
501.7
508.0
516.6
516.4
525.5
532.3
540.5
546.7
550.4
563.2
569.8
579.0
598.7
513.0
604.6
610.8
618.5
623.8
627.0
628.9
630.4
H.R.Tw
(K)
513.6
605.0
611.8
624.2
627.5
628.4
631.2
1373.7
1428.1
1464.9
1505.8
1586.6
1636.0
1675.0
1701.7
1763.9
1840.3
1878.8
1930.0
1957.2
1994.8
2104.1
1556.8
1904.3
1836.8
1713.3
1567.6
1417.6
1228.4
1074.6
H.R. q''
(W/m2)
1520.9
1854.2
1777.3
1525.1
1379.4
1201.0
1050.6
365.4
378.6
387.9
398.6
420.5
434.6
445.9
453.5
472.3
494.8
506.0
521.0
528.7
539.3
581.4
411.4
597.7
603.6
614.0
625.7
636.9
649.6
658.7
Tcl
(°F)
411.8
597.7
604.5
626.0
637.1
649.6
658.9
458.4
465.7
470.9
476.8
489.0
496.8
503.1
507.3
517.8
530.3
536.5
544.8
549.1
555.0
578.4
483.9
587.4
590.7
596.5
603.0
609.2
616.3
621.3
Tcl
(K)
484.1
587.4
591.2
603.1
609.3
616.3
621.4
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Correction
Factor
1.50
1.50
1.50
1.50
1.50
1.50
1.50
467.2
475.6
481.2
487.2
498.2
503.3
510.6
515.6
525.4
535.7
541.1
551.0
556.0
563.0
585.1
493.6
593.1
597.4
603.8
609.9
615.1
620.5
624.3
Tbulk
(K)
493.9
593.3
598.1
610.1
615.4
620.3
624.7
1908
1867
1842
1814
1766
1745
1715
1695
1658
1619
1600
1566
1550
1527
1459
1786
1436
1424
1406
1390
1376
1362
1352
1785
1435
1422
1389
1375
1362
1351
Re (z)
Table SC-3171-A.1: Summary of Steam Cooling Data (cont.)
77.52
71.76
71.27
72.53
86.15
124.96
111.98
102.36
116.39
168.21
203.28
157.24
141.76
124.41
155.33
80.43
166.14
136.60
116.45
112.99
119.67
145.24
177.78
h (z)
(W/m2-K)
77.45
157.95
129.46
108.71
113.67
148.48
161.02
15.90
14.58
14.45
14.70
17.62
26.58
23.40
21.14
24.30
36.97
46.46
33.83
29.95
25.80
32.84
16.35
36.25
28.99
24.35
23.72
25.65
33.59
46.63
±σhtc
(W/m2-K)
16.05
34.98
27.96
23.23
24.70
35.30
41.20
20.52%
20.32%
20.28%
20.27%
20.45%
21.27%
20.89%
20.65%
20.88%
21.98%
22.86%
21.52%
21.13%
20.74%
21.14%
20.33%
21.82%
21.22%
20.91%
20.99%
21.44%
23.12%
26.23%
Fractional
Uncertainty
20.72%
22.15%
21.60%
21.37%
21.73%
23.77%
25.59%
27.25
24.69
24.18
24.23
27.98
40.06
35.24
31.80
35.28
49.67
59.22
44.70
39.80
34.33
40.62
26.44
42.63
34.70
29.14
27.87
29.17
34.97
42.42
25.43
40.51
32.83
26.80
27.69
35.76
38.39
Nu(z)
A-72
Channel
Number
153
154
155
156
157
158
159
160
105
106
107
108
109
110
111
112
57
58
59
60
61
62
63
64
137
138
139
140
141
142
143
144
H.R.
Location
RodB5_41
RodB5_52.9
RodB5_55
RodB5_57.8
RodB5_64
RodB5_73.9
RodB5_75.9
RodB5_76.9
RodF5_41
RodF5_53.1
RodF5_55
RodF5_57.8
RodF5_64
RodF5_73.8
RodF5_75.8
RodF5_76.8
RodC2_41
RodC2_53.1
RodC2_55
RodC2_57.8
RodC2_63.9
RodC2_73.8
RodC2_75.8
RodC2_76.8
RodC6_40.9
RodC6_52.8
RodC6_54.8
RodC6_57.8
RodC6_63.8
RodC6_73.7
RodC6_75.8
RodC6_76.8
1.039
1.341
1.392
1.468
1.621
1.872
1.925
1.951
1.041
1.349
1.397
1.468
1.623
1.875
1.925
1.951
1.041
1.349
1.397
1.468
1.626
1.875
1.925
1.951
Elevation
(m)
1.041
1.344
1.397
1.468
1.626
1.877
1.928
1.953
0.340
0.147
0.198
0.274
0.427
0.072
0.125
0.150
0.343
0.155
0.203
0.274
0.429
0.074
0.125
0.150
0.343
0.155
0.203
0.274
0.432
0.074
0.125
0.150
Zgrid
(m)
0.343
0.150
0.203
0.274
0.432
0.077
0.128
0.153
474.6
493.3
497.9
503.4
513.3
527.7
533.0
535.9
473.1
490.0
493.7
499.3
508.8
517.9
522.6
524.6
471.9
490.0
494.7
499.9
508.8
520.2
526.0
528.5
H.R.Tw
(K)
474.2
492.6
496.3
502.1
512.1
525.9
532.1
534.4
1239.7
1406.5
1434.7
1476.2
1559.0
1695.9
1725.0
1738.9
1244.8
1407.5
1433.3
1471.0
1553.0
1682.8
1711.4
1724.9
1240.5
1403.3
1427.9
1464.5
1546.2
1674.3
1701.6
1714.8
H.R. q''
2
(W/m )
1247.1
1406.3
1434.4
1472.5
1554.9
1686.4
1713.1
1726.5
445.7
463.7
467.0
471.9
482.1
499.5
503.2
505.0
445.9
464.2
467.3
471.9
482.3
499.7
503.2
505.0
445.9
464.2
467.3
471.9
482.4
499.7
503.2
505.0
Tcl
(K)
445.9
463.9
467.3
471.9
482.4
499.8
503.4
505.2
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Correction
Factor
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
455.3
473.6
477.3
482.4
492.5
508.9
513.1
515.3
454.9
472.8
476.1
481.0
491.1
505.7
509.7
511.5
454.5
472.8
476.4
481.3
491.2
506.5
510.8
512.9
Tbulk
(K)
455.3
473.5
477.0
482.0
492.3
508.5
513.0
514.9
1967.9
1877.1
1859.7
1836.0
1790.9
1722.1
1705.0
1696.4
1970.1
1880.8
1865.3
1842.3
1797.1
1734.9
1718.7
1711.3
1972.2
1880.8
1863.6
1841.3
1796.5
1731.7
1714.2
1706.1
1968.1
1877.6
1861.1
1838.0
1791.7
1723.5
1705.6
1697.8
Re (z)
64.39
71.36
69.55
70.33
74.82
90.24
87.02
84.57
68.62
81.85
81.49
80.63
87.82
138.65
132.22
132.17
71.49
81.57
78.09
78.38
87.89
122.04
111.99
109.37
h (z)
(W/m2-K)
65.92
73.41
74.12
73.17
78.49
96.87
89.57
88.55
Table SC-3171-A.1: Summary of Steam Cooling Data (cont.)
13.24
14.55
14.12
14.25
15.14
18.34
17.61
17.06
14.14
16.91
16.79
16.55
18.06
29.91
28.20
28.15
14.83
16.89
16.08
16.12
18.16
25.93
23.48
22.85
±σhtc
(W/m2-K)
13.52
15.01
15.14
14.90
15.99
19.94
18.29
18.05
20.56%
20.39%
20.30%
20.26%
20.23%
20.33%
20.23%
20.17%
20.61%
20.66%
20.61%
20.53%
20.57%
21.58%
21.33%
21.30%
20.74%
20.71%
20.60%
20.56%
20.66%
21.25%
20.97%
20.89%
Fractional
Uncertainty
20.51%
20.45%
20.43%
20.36%
20.37%
20.58%
20.42%
20.38%
23.32
24.68
23.83
23.79
24.66
28.52
27.21
26.29
24.88
28.37
28.01
27.37
29.05
44.18
41.70
41.49
25.95
28.27
26.82
26.59
29.06
38.81
35.22
34.22
23.88
25.40
25.42
24.77
25.88
30.65
28.02
27.56
Nu(z)
A-73
Channel
Number
161
162
163
164
165
166
167
168
98
99
100
101
102
103
104
65
66
67
68
69
70
71
72
129
130
131
132
133
134
135
136
H.R.
Location
RodB4_88.4
RodB4_91.3
RodB4_93.3
RodB4_95.1
RodB4_100
RodB4_106
RodB4_109.9
RodB4_142.3
RodF4_85.6
RodF4_88.4
RodF4_92.4
RodF4_94.3
RodF4_97.2
RodF4_108.8
RodF4_111
RodD2_103.2
RodD2_106
RodD2_112.6
RodD2_114.9
RodD2_117.4
RodD2_120.8
RodD2_124.8
RodD2_128.6
RodD6_103.1
RodD6_106
RodD6_112.9
RodD6_114.9
RodD6_116.8
RodD6_120.9
RodD6_124.8
RodD6_128.7
2.619
2.692
2.868
2.918
2.967
3.071
3.170
3.269
2.621
2.692
2.860
2.918
2.982
3.068
3.170
3.266
2.174
2.245
2.347
2.395
2.469
2.764
2.819
Elevation
(m)
2.245
2.319
2.370
2.416
2.540
2.692
2.791
3.614
0.371
0.445
0.004
0.055
0.103
0.207
0.306
0.405
0.373
0.445
-0.004
0.055
0.118
0.204
0.306
0.403
0.374
-0.003
0.099
0.147
0.221
0.516
-0.044
Zgrid
(m)
-0.003
0.071
0.122
0.168
0.292
0.445
0.544
0.224
586.0
589.5
599.5
605.5
611.3
617.5
622.3
624.6
578.9
584.0
591.6
597.0
600.5
605.5
609.6
611.7
544.4
547.0
560.3
566.7
575.6
597.0
599.1
H.R.Tw
(K)
548.2
558.5
565.5
570.9
581.3
591.2
593.5
618.3
2085.8
2123.9
1922.4
1832.2
1755.2
1593.2
1436.9
1279.3
2084.0
2121.7
1945.7
1855.1
1757.0
1622.3
1462.7
1312.3
1840.8
1877.6
1930.5
1956.3
1994.1
2104.3
2015.8
H.R. q''
2
(W/m )
1865.9
1903.6
1929.8
1954.0
2017.0
2091.3
2021.4
760.6
551.9
556.8
568.3
571.5
574.5
580.7
586.5
591.9
552.1
556.8
567.8
571.5
575.4
580.6
586.5
591.8
520.9
525.9
533.1
536.5
541.6
561.5
565.2
Tcl
(K)
525.9
531.1
534.7
537.9
546.5
556.8
563.4
608.4
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Correction
Factor
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
563.3
567.7
578.7
582.8
586.7
593.0
598.4
602.8
561.0
565.9
575.7
580.0
583.8
588.9
594.2
598.4
528.7
532.9
542.2
546.6
552.9
573.4
576.5
Tbulk
(K)
533.3
540.3
545.0
548.9
558.1
568.3
573.4
611.7
1525.9
1511.7
1478.0
1465.6
1454.1
1436.1
1420.8
1408.7
1533.2
1517.4
1486.9
1474.0
1462.8
1447.8
1432.7
1420.8
1645.2
1629.6
1596.6
1581.4
1559.7
1494.2
1484.6
1628.1
1603.3
1586.9
1573.4
1542.6
1510.0
1494.0
1384.7
Re (z)
91.83
97.50
92.34
80.85
71.49
65.08
60.19
58.69
116.61
116.99
122.58
108.82
104.89
97.70
94.91
98.96
117.62
133.80
106.26
97.00
87.96
89.11
89.01
h (z)
(W/m2-K)
125.73
104.29
93.98
88.94
87.07
91.41
100.48
115.72
Table SC-3171-A.1: Summary of Steam Cooling Data (cont.)
18.43
19.62
18.86
16.52
14.57
13.29
12.35
12.16
23.84
23.88
25.49
22.47
21.70
20.24
19.85
21.13
24.47
28.21
21.79
19.72
17.76
17.91
17.94
±σhtc
(W/m2-K)
26.45
21.49
19.19
18.08
17.66
18.58
20.72
30.09
20.07%
20.13%
20.42%
20.43%
20.38%
20.42%
20.52%
20.72%
20.44%
20.41%
20.80%
20.65%
20.68%
20.72%
20.91%
21.35%
20.80%
21.08%
20.50%
20.33%
20.19%
20.10%
20.16%
Fractional
Uncertainty
21.04%
20.60%
20.42%
20.33%
20.28%
20.33%
20.62%
26.00%
25.32
26.59
24.53
21.26
18.63
16.71
15.25
14.72
32.34
32.05
32.79
28.81
27.52
25.32
24.29
25.08
35.35
39.79
30.87
27.87
24.88
23.98
23.77
37.35
30.45
27.11
25.41
24.32
24.90
27.03
28.43
Nu(z)
A-74
Channel
Number
73
74
75
76
77
78
79
80
169
170
171
172
173
174
175
176
89
90
91
92
93
94
95
96
121
122
123
124
125
126
127
128
H.R.
Location
RodE2_50.1
RodE2_54
RodE2_56.9
RodE2_59.9
RodE2_66
RodE2_69.8
RodE2_72.9
RodE2_74.9
RodB3_50.2
RodB3_54.1
RodB3_56.9
RodB3_60.1
RodB3_66.1
RodB3_69.9
RodB3_73
RodB3_75
RodF3_50.1
RodF3_54
RodF3_57
RodF3_60
RodF3_66.1
RodF3_70
RodF3_73
RodF3_75
RodE6_50.2
RodE6_54.1
RodE6_57
RodE6_60.2
RodE6_66.1
RodE6_70
RodE6_73.1
RodE6_75
1.275
1.374
1.448
1.529
1.679
1.778
1.857
1.905
1.273
1.372
1.448
1.524
1.679
1.778
1.854
1.905
1.275
1.374
1.445
1.527
1.679
1.775
1.854
1.905
Elevation
(m)
1.273
1.372
1.445
1.521
1.676
1.773
1.852
1.902
0.081
0.180
0.254
0.335
0.485
-0.022
0.056
0.105
0.079
0.178
0.254
0.330
0.485
-0.022
0.054
0.105
0.081
0.180
0.251
0.333
0.485
-0.025
0.054
0.105
Zgrid
(m)
0.079
0.178
0.251
0.328
0.483
-0.027
0.051
0.102
482.0
491.0
496.1
502.8
510.9
510.1
518.2
524.0
485.0
494.8
500.5
505.8
512.3
513.0
521.0
527.6
480.2
487.9
493.9
500.0
509.8
510.2
517.6
523.3
H.R.Tw
(K)
482.1
492.0
497.6
503.7
511.3
510.9
518.3
523.6
1369.2
1421.4
1460.2
1502.5
1579.7
1629.9
1670.1
1695.3
1368.2
1422.1
1463.3
1504.6
1587.1
1639.5
1680.4
1708.1
1368.6
1420.9
1458.9
1502.8
1582.8
1633.1
1673.0
1699.8
H.R. q''
2
(W/m )
1377.9
1431.3
1470.9
1511.7
1594.3
1644.3
1686.0
1713.8
459.6
465.8
470.6
475.9
486.1
492.9
498.4
501.8
459.5
465.7
470.6
475.6
486.1
492.9
498.2
501.8
459.6
465.8
470.4
475.8
486.1
492.7
498.2
501.8
Tcl
(K)
459.5
465.7
470.4
475.4
485.9
492.5
498.0
501.6
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Correction
Factor
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
467.1
474.2
479.1
484.9
494.3
498.6
505.0
509.2
468.0
475.4
480.6
485.7
494.8
499.6
505.8
510.4
466.5
473.2
478.3
483.8
494.0
498.5
504.7
509.0
Tbulk
(K)
467.0
474.5
479.5
484.9
494.4
498.7
504.8
508.9
1908.6
1874.1
1851.2
1824.6
1783.0
1764.5
1737.9
1720.7
1904.3
1868.6
1844.4
1821.2
1780.8
1760.5
1734.5
1716.0
1911.5
1879.0
1855.2
1829.4
1784.5
1764.9
1739.2
1721.7
1909.0
1873.0
1849.4
1824.8
1782.9
1764.4
1738.8
1721.8
Re (z)
91.66
84.77
85.71
83.77
95.53
142.10
126.61
114.36
80.52
73.24
73.31
74.81
90.57
122.61
110.56
99.43
99.65
96.62
93.19
93.02
100.03
140.27
129.64
118.67
h (z)
(W/m2-K)
91.37
81.42
81.15
80.20
94.16
134.42
125.07
116.99
Table SC-3171-A.1: Summary of Steam Cooling Data (cont.)
19.22
17.55
17.71
17.22
19.80
31.01
27.00
24.00
16.65
14.95
14.92
15.21
18.59
25.97
23.01
20.42
21.13
20.29
19.42
19.30
20.79
30.46
27.68
24.96
±σhtc
(W/m2-K)
19.03
16.67
16.56
16.31
19.31
28.78
26.36
24.37
20.97%
20.70%
20.66%
20.56%
20.72%
21.82%
21.32%
20.99%
20.68%
20.42%
20.35%
20.33%
20.53%
21.18%
20.82%
20.54%
21.20%
21.00%
20.84%
20.75%
20.79%
21.72%
21.35%
21.04%
Fractional
Uncertainty
20.83%
20.48%
20.41%
20.33%
20.51%
21.41%
21.08%
20.83%
32.23
29.28
29.23
28.15
31.34
46.10
40.42
36.12
28.26
25.22
24.91
25.09
29.67
39.68
35.22
31.31
35.10
33.46
31.86
31.35
32.85
45.52
41.42
37.50
32.14
28.10
27.65
26.96
30.89
43.61
39.95
36.97
Nu(z)
RBHT Steam Cooling Test SC-3173-A
Matrix test # 17
Test date – 3/25/2005
Steady state time window: 11340 - 12240 sec
Inlet flow: 0.90 m3/min (31.9 ft3/min)
Inlet steam temperature: 409 K (276 °F)
Upper plenum pressure: 271.7 kPa (39.4 psia)
Bundle power: 10.1 kW
Outlet steam temperature: 580 K (585 °F)
Bundle inlet Reynolds number: 3614
Subchannel Centerline Temperatures
The equations below were correlated using the axial subchannel centerline temperature
distribution.
Subchannels D5 and E5 (use for inner 3x3 rod bundle thermocouple locations)
Tcl = -5.4909x3 + 37.468x2 - 16.632x + 420.07
Subchannel C5 (use for 5x5 peripheral rod bundle thermocouple locations)
Tcl = -3.7844x3 + 25.883x2 - 0.3224x + 414.53
where x is the elevation (m) and Tcl is in (K)
A-75
A-76
A-77
A-78
A-79
A-80
Subchannels D5 and E5 Axial Temperature Profile
y = -5.4909x 3 + 37.468x 2 - 16.632x + 420.07
650
Temperature (deg K)
600
550
500
450
400
350
0
0.5
1
1.5
2
2.5
3
3.5
4
3.5
4
Elevation (m)
Subchannel C5 Axial Temperature Profile
y = -3.7844x 3 + 25.883x 2 - 0.3224x + 414.53
600
Temperature (deg K)
550
500
450
400
350
0
0.5
1
1.5
2
Elevation (m)
A-81
2.5
3
A-82
241
242
243
244
245
246
247
248
201
202
204
205
208
193
194
195
196
197
198
199
200
RodE4_88.4
RodE4_91.2
RodE4_95.3
RodE4_100.9
RodE4_142.3
RodE3_63.4
RodE3_113.6
RodE3_115.5
RodE3_118.5
RodE3_122.7
RodE3_126.5
RodE3_131.7
RodE3_135.6
233
234
235
236
237
238
239
240
RodC4_88.4
RodC4_91.1
RodC4_93.4
RodC4_95.3
RodC4_100.1
RodC4_106.1
RodC4_110
RodC4_142.2
RodD4_88.3
RodD4_91.3
RodD4_93.2
RodD4_95.2
RodD4_100.1
RodD4_106.1
RodD4_110
RodD4_142.1
Channel
Number
185
186
187
188
189
190
191
192
H.R.
Location
RodD3_88.3
RodD3_91.3
RodD3_93.1
RodD3_95.3
RodD3_100.1
RodD3_106.1
RodD3_110
RodD3_142.1
1.610
2.885
2.934
3.010
3.117
3.213
3.345
3.444
2.245
2.316
2.421
2.563
3.614
2.243
2.319
2.367
2.418
2.543
2.695
2.794
3.609
2.245
2.314
2.372
2.421
2.543
2.695
2.794
3.612
Elevation
(m)
2.243
2.319
2.365
2.421
2.543
2.695
2.794
3.609
0.417
0.022
0.070
0.146
0.253
0.349
-0.046
0.053
-0.003
0.069
0.173
0.315
0.224
-0.005
0.071
0.119
0.170
0.295
0.447
0.546
0.218
-0.003
0.066
0.124
0.173
0.295
0.447
0.546
0.221
Zgrid
(m)
-0.005
0.071
0.117
0.173
0.295
0.447
0.546
0.218
504.0
579.8
585.0
590.6
595.2
596.4
590.1
591.2
532.2
543.1
556.6
567.8
594.3
534.3
544.9
551.0
556.5
567.9
577.2
574.4
596.3
530.2
541.4
548.3
554.5
566.2
575.8
572.3
595.3
H.R. Tw
(K)
532.4
545.4
552.2
558.9
570.0
581.0
578.1
591.9
2205.9
2720.6
2618.5
2458.9
2233.9
2031.0
1754.2
1543.5
2666.2
2717.2
2792.8
2896.9
1095.4
2706.6
2764.1
2800.6
2839.7
2933.9
3048.8
2945.2
1086.0
2718.3
2770.7
2815.8
2852.3
2945.4
3062.8
2964.4
1123.9
H.R. q''
(W/m2)
2688.0
2744.4
2779.0
2820.7
2913.5
3028.1
2990.5
1033.6
467.5
552.1
555.1
559.7
565.9
571.3
578.2
582.9
509.5
514.3
521.5
531.1
590.2
509.3
514.5
517.8
521.3
529.7
539.9
546.3
590.0
509.5
514.2
518.2
521.5
529.7
539.9
546.3
590.1
Tcl
(K)
509.3
514.5
517.7
521.5
529.7
539.9
546.3
590.0
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
Correction
Factor
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
475.3
558.0
561.5
566.3
572.2
576.7
580.7
584.7
514.3
520.5
529.0
539.0
591.1
514.6
521.0
524.9
528.8
537.9
547.9
552.3
591.3
513.9
520.0
524.6
528.6
537.5
547.6
551.9
591.2
Tbulk
(K)
514.2
521.1
525.0
529.5
538.4
548.7
553.1
590.4
3477
2871
2850
2821
2787
2761
2739
2717
3164
3119
3059
2992
2682
3161
3115
3087
3060
2999
2934
2906
2681
3167
3122
3090
3062
3001
2936
2909
2682
3164
3114
3087
3056
2996
2929
2901
2686
Re (z)
Table SC-3173-A.1: Summary of Steam Cooling Data
77.04
125.13
111.44
101.32
97.12
103.06
186.86
237.70
149.58
120.05
101.29
100.51
333.59
137.89
115.91
107.40
102.53
97.93
104.04
133.43
217.59
166.77
129.55
118.93
109.76
102.90
108.67
145.49
270.95
h (z)
(W/m2-K)
147.85
113.27
102.46
95.82
92.20
93.77
119.73
682.64
11.16
18.75
16.49
14.89
14.32
15.51
35.77
56.53
23.29
17.93
14.78
14.60
137.97
20.83
16.98
15.55
14.75
13.98
14.88
19.83
63.73
26.16
19.23
17.38
15.85
14.70
15.54
21.80
91.40
±σhtc
(W/m2-K)
22.78
16.65
14.86
13.78
13.17
13.37
17.29
585.11
14.48%
14.98%
14.80%
14.69%
14.74%
15.05%
19.14%
23.78%
15.57%
14.94%
14.59%
14.53%
41.36%
15.11%
14.65%
14.48%
14.38%
14.27%
14.30%
14.86%
29.29%
15.69%
14.84%
14.61%
14.44%
14.29%
14.30%
14.98%
33.73%
Fractional
Uncertainty
15.41%
14.69%
14.50%
14.38%
14.29%
14.26%
14.44%
85.71%
26.53
34.95
30.86
27.73
26.20
27.51
49.39
62.23
46.62
36.84
30.42
29.44
86.02
42.95
35.52
32.59
30.80
28.76
29.80
37.80
56.07
52.04
39.80
36.12
33.00
30.25
31.15
41.26
69.84
46.09
34.70
31.08
28.74
27.05
26.81
33.85
176.31
Nu(z)
A-83
209
210
211
212
213
214
215
216
177
178
179
180
181
182
183
217
218
219
220
221
222
223
224
RodC3_79.8
RodC3_85.6
RodC3_88.5
RodC3_92.4
RodC3_94.4
RodC3_97.2
RodC3_108.8
RodD5_50
RodD5_54.1
RodD5_56.9
RodD5_60
RodD5_66.1
RodD5_69.9
RodD5_72.9
RodD5_74.9
1.270
1.374
1.445
1.524
1.679
1.775
1.852
1.902
2.027
2.174
2.248
2.347
2.398
2.469
2.764
1.615
2.885
2.931
3.015
3.114
3.216
3.343
3.444
Channel Elevation
Number
(m)
225
1.618
226
2.885
227
2.939
229
3.117
230
3.218
231
3.343
232
3.447
RodE5_63.6
RodE5_113.6
RodE5_115.4
RodE5_118.7
RodE5_122.6
RodE5_126.6
RodE5_131.6
RodE5_135.6
H.R.
Location
RodC5_63.7
RodC5_113.6
RodC5_115.7
RodC5_122.7
RodC5_126.7
RodC5_131.6
RodC5_135.7
0.076
0.180
0.251
0.330
0.485
-0.025
0.051
0.102
0.227
0.374
0.000
0.099
0.150
0.221
0.516
0.422
0.022
0.067
0.151
0.250
0.352
-0.048
0.053
Zgrid
(m)
0.424
0.022
0.075
0.253
0.354
-0.048
0.056
477.4
487.6
493.0
498.4
504.5
499.3
510.2
516.9
522.5
527.2
529.6
544.1
549.2
558.0
576.0
499.7
568.8
574.0
579.4
583.0
585.6
583.0
584.8
H.R. Tw
(K)
503.1
572.8
580.1
591.6
593.1
588.3
591.0
1959.2
2037.1
2089.7
2148.2
2263.7
2336.9
2392.5
2429.8
2510.1
2620.1
2675.1
2748.2
2786.3
2838.9
2993.7
2223.0
2739.5
2645.1
2470.8
2264.9
2054.2
1799.6
1581.2
H.R. q''
(W/m2)
2165.7
2655.1
2549.0
2194.4
1991.6
1743.4
1533.6
448.1
453.7
457.7
462.3
471.8
477.9
482.9
486.2
494.6
504.6
509.6
516.4
519.9
524.8
544.4
467.8
552.1
555.0
560.0
565.8
571.4
578.0
582.9
Tcl
(K)
468.0
552.1
555.4
565.9
571.6
578.0
583.0
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
Correction
Factor
1.27
1.27
1.27
1.27
1.27
1.27
1.27
454.4
461.0
465.3
470.0
478.8
482.5
488.7
492.8
500.5
509.4
513.9
522.4
526.2
531.9
551.1
474.6
555.7
559.0
564.2
569.5
574.5
579.1
583.3
Tbulk
(K)
475.5
556.5
560.7
571.4
576.2
580.2
584.7
3671
3608
3568
3525
3447
3415
3363
3330
3268
3200
3167
3106
3079
3039
2913
3483
2885
2865
2834
2802
2774
2748
2724
3476
2880
2855
2791
2764
2741
2716
Re (z)
85.11
76.56
75.32
75.79
87.91
139.03
111.35
100.84
114.38
147.38
170.58
126.50
121.04
108.60
120.35
88.89
208.39
176.54
162.26
167.17
184.88
460.39
1048.94
h (z)
(W/m2-K)
78.45
163.58
131.31
108.81
117.58
217.01
244.29
Table SC-3173-A.1: Summary of Steam Cooling Data (cont.)
12.62
11.15
10.92
10.96
12.84
21.82
16.67
14.85
17.13
22.92
27.32
18.97
17.99
15.89
17.68
13.00
35.00
28.44
25.94
27.56
32.67
162.33
899.87
±σhtc
(W/m2-K)
11.59
26.39
20.36
16.60
18.44
45.37
59.52
14.82%
14.56%
14.49%
14.46%
14.61%
15.70%
14.97%
14.73%
14.98%
15.55%
16.02%
14.99%
14.86%
14.63%
14.69%
14.63%
16.80%
16.11%
15.98%
16.49%
17.67%
35.26%
85.79%
Fractional
Uncertainty
14.78%
16.13%
15.50%
15.25%
15.69%
20.91%
24.36%
30.90
27.35
26.61
26.45
30.01
47.01
37.06
33.21
36.93
46.52
53.23
38.64
36.61
32.38
34.19
30.66
58.54
49.19
44.65
45.40
49.61
122.16
275.52
27.00
45.86
36.44
29.41
31.42
57.43
63.95
Nu(z)
A-84
105
106
107
108
109
110
111
112
57
58
59
60
61
62
63
64
137
138
139
140
141
142
143
144
RodC2_41
RodC2_53.1
RodC2_55
RodC2_57.8
RodC2_63.9
RodC2_73.8
RodC2_75.8
RodC2_76.8
RodC6_40.9
RodC6_52.8
RodC6_54.8
RodC6_57.8
RodC6_63.8
RodC6_73.7
RodC6_75.8
RodC6_76.8
1.039
1.341
1.392
1.468
1.621
1.872
1.925
1.951
1.041
1.349
1.397
1.468
1.623
1.875
1.925
1.951
1.041
1.349
1.397
1.468
1.626
1.875
1.925
1.951
Channel Elevation
Number
(m)
153
1.041
154
1.344
155
1.397
156
1.468
157
1.626
158
1.877
159
1.928
160
1.953
RodF5_41
RodF5_53.1
RodF5_55
RodF5_57.8
RodF5_64
RodF5_73.8
RodF5_75.8
RodF5_76.8
H.R.
Location
RodB5_41
RodB5_52.9
RodB5_55
RodB5_57.8
RodB5_64
RodB5_73.9
RodB5_75.9
RodB5_76.9
0.340
0.147
0.198
0.274
0.427
0.072
0.125
0.150
0.343
0.155
0.203
0.274
0.429
0.074
0.125
0.150
0.343
0.155
0.203
0.274
0.432
0.074
0.125
0.150
Zgrid
(m)
0.343
0.150
0.203
0.274
0.432
0.077
0.128
0.153
470.2
486.3
491.0
496.6
505.6
515.5
520.7
523.6
469.9
487.3
491.1
496.6
504.1
507.7
512.4
514.2
468.6
482.6
487.0
491.8
499.3
506.8
512.4
514.9
H.R. Tw
(K)
470.4
485.6
489.3
495.1
503.4
514.0
519.8
522.0
1766.2
2004.7
2045.3
2104.7
2225.1
2420.8
2462.4
2482.4
1777.4
2007.2
2043.7
2097.5
2214.3
2402.9
2440.7
2459.3
1772.4
2000.1
2036.3
2089.7
2207.6
2394.5
2432.6
2451.4
H.R. q''
2
(W/m )
1781.7
2007.5
2047.7
2101.0
2219.6
2408.2
2446.1
2465.2
437.9
451.5
454.0
457.9
465.9
479.8
482.8
484.3
438.0
451.9
454.3
457.9
466.0
479.9
482.8
484.3
438.0
451.9
454.3
457.9
466.1
479.9
482.8
484.3
Tcl
(K)
438.0
451.6
454.3
457.9
466.1
480.1
483.0
484.4
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
Correction
Factor
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
444.8
459.0
461.9
466.2
474.4
487.4
490.9
492.7
444.8
459.5
462.2
466.2
474.2
485.9
489.2
490.7
444.5
458.5
461.3
465.1
473.2
485.7
489.2
490.9
Tbulk
(K)
444.9
458.9
461.8
465.8
474.1
487.3
490.9
492.5
3766.4
3626.9
3599.0
3559.7
3485.9
3373.9
3345.0
3330.5
3766.3
3622.3
3597.0
3559.8
3487.7
3386.9
3359.5
3347.0
3769.1
3631.8
3605.2
3569.3
3495.9
3388.5
3359.6
3345.8
3765.1
3627.5
3600.4
3562.8
3488.2
3374.7
3345.6
3332.4
Re (z)
69.52
73.27
70.46
69.09
71.33
86.34
82.82
80.31
70.94
72.23
70.67
68.94
73.94
110.29
105.04
104.70
73.76
82.88
79.29
78.43
84.83
113.66
104.71
101.94
h (z)
2
(W/m -K)
69.96
75.27
74.32
71.90
75.91
90.46
84.54
83.49
Table SC-3173-A.1: Summary of Steam Cooling Data (cont.)
10.27
10.67
10.19
9.94
10.21
12.44
11.86
11.46
10.46
10.51
10.24
9.94
10.67
16.51
15.57
15.50
10.95
12.29
11.67
11.49
12.45
17.15
15.57
15.08
±σhtc
(W/m2-K)
10.27
10.98
10.80
10.39
10.96
13.18
12.21
12.03
14.77%
14.56%
14.46%
14.38%
14.31%
14.41%
14.32%
14.27%
14.74%
14.55%
14.49%
14.42%
14.43%
14.97%
14.83%
14.81%
14.85%
14.83%
14.71%
14.65%
14.68%
15.09%
14.86%
14.80%
Fractional
Uncertainty
14.68%
14.59%
14.54%
14.45%
14.44%
14.57%
14.44%
14.41%
25.85
26.30
25.10
24.36
24.63
28.83
27.41
26.45
26.38
25.89
25.16
24.30
25.54
36.97
34.91
34.67
27.44
29.79
28.30
27.72
29.37
38.12
34.81
33.74
26.01
27.02
26.49
25.37
26.22
30.21
27.98
27.52
Nu(z)
A-85
98
99
100
101
102
103
104
65
66
67
68
69
70
71
72
129
130
131
132
133
134
135
136
RodD2_103.2
RodD2_106
RodD2_112.6
RodD2_114.9
RodD2_117.4
RodD2_120.8
RodD2_124.8
RodD2_128.6
RodD6_103.1
RodD6_106
RodD6_112.9
RodD6_114.9
RodD6_116.8
RodD6_120.9
RodD6_124.8
RodD6_128.7
2.619
2.692
2.868
2.918
2.967
3.071
3.170
3.269
2.621
2.692
2.860
2.918
2.982
3.068
3.170
3.266
2.174
2.245
2.347
2.395
2.469
2.764
2.819
Channel Elevation
Number
(m)
161
2.245
162
2.319
163
2.370
164
2.416
165
2.540
166
2.692
167
2.791
168
3.614
RodF4_85.6
RodF4_88.4
RodF4_92.4
RodF4_94.3
RodF4_97.2
RodF4_108.8
RodF4_111
H.R.
Location
RodB4_88.4
RodB4_91.3
RodB4_93.3
RodB4_95.1
RodB4_100
RodB4_106
RodB4_109.9
RodB4_142.3
0.371
0.445
0.004
0.055
0.103
0.207
0.306
0.405
0.373
0.445
-0.004
0.055
0.118
0.204
0.306
0.403
-0.074
-0.003
0.099
0.147
0.221
0.516
-0.044
Zgrid
(m)
-0.003
0.071
0.122
0.168
0.292
0.445
0.544
0.224
565.9
569.0
564.2
570.4
575.5
580.0
583.7
585.0
562.6
567.4
565.0
572.1
575.3
579.0
581.7
582.0
525.0
526.7
541.9
548.0
555.8
571.2
568.1
H.R. Tw
(K)
528.9
541.1
547.6
552.8
561.9
571.0
567.9
587.2
2980.4
3035.4
2769.1
2653.7
2545.3
2311.9
2090.0
1868.9
2973.7
3027.1
2776.6
2645.2
2504.3
2311.3
2085.2
1871.6
2628.5
2680.4
2755.7
2791.1
2846.1
3006.1
2883.7
H.R. q''
2
(W/m )
2665.7
2718.6
2755.3
2788.2
2877.7
2987.9
2892.8
1108.8
523.2
527.4
537.2
540.0
542.6
548.0
553.0
557.9
523.4
527.4
536.8
540.0
543.4
547.9
553.0
557.7
497.3
501.5
507.4
510.2
514.5
531.4
534.5
Tcl
(K)
501.5
505.8
508.8
511.4
518.7
527.4
533.0
572.8
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
Correction
Factor
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
532.4
536.3
543.0
546.5
549.6
554.9
559.6
563.7
531.8
536.0
542.8
546.8
550.2
554.6
559.2
562.9
503.2
506.9
514.8
518.3
523.4
539.9
541.7
Tbulk
(K)
507.3
513.3
517.1
520.3
527.9
536.8
540.5
575.9
3036.1
3009.4
2965.5
2942.9
2923.1
2890.2
2861.2
2836.8
3040.1
3011.7
2966.4
2940.6
2919.3
2892.1
2863.8
2841.2
3247.4
3219.6
3160.2
3134.5
3098.4
2985.3
2973.7
3215.9
3171.0
3143.6
3120.3
3066.4
3006.5
2982.0
2765.8
Re (z)
88.89
92.99
130.62
110.93
98.46
92.02
86.71
87.67
96.46
96.41
125.05
104.86
99.82
94.50
92.70
98.12
120.77
135.33
101.81
94.09
87.89
96.19
109.41
h (z)
2
(W/m -K)
123.65
98.02
90.35
85.72
84.68
87.20
105.59
98.05
Table SC-3173-A.1: Summary of Steam Cooling Data (cont.)
12.61
13.22
19.60
16.37
14.40
13.52
12.82
13.21
13.80
13.77
18.67
15.41
14.68
13.96
13.86
15.09
18.06
20.56
14.81
13.56
12.58
13.76
15.91
±σhtc
(W/m2-K)
18.60
14.29
13.06
12.33
12.15
12.51
15.51
17.52
14.18%
14.21%
15.00%
14.75%
14.62%
14.69%
14.78%
15.07%
14.31%
14.29%
14.93%
14.69%
14.71%
14.77%
14.95%
15.38%
14.95%
15.19%
14.54%
14.42%
14.31%
14.31%
14.54%
Fractional
Uncertainty
15.04%
14.58%
14.45%
14.38%
14.35%
14.35%
14.69%
17.87%
26.47
27.42
37.87
31.89
28.08
25.90
24.13
24.15
28.77
28.45
36.27
30.11
28.43
26.62
25.82
27.08
38.73
43.00
31.70
29.03
26.77
28.10
31.82
39.24
30.63
27.97
26.32
25.50
25.68
30.81
26.22
Nu(z)
A-86
169
170
171
172
173
174
175
176
89
90
91
92
93
94
95
96
121
122
123
124
125
126
127
128
RodF3_50.1
RodF3_54
RodF3_57
RodF3_60
RodF3_66.1
RodF3_70
RodF3_73
RodF3_75
RodE6_50.2
RodE6_54.1
RodE6_57
RodE6_60.2
RodE6_66.1
RodE6_70
RodE6_73.1
RodE6_75
1.275
1.374
1.448
1.529
1.679
1.778
1.857
1.905
1.273
1.372
1.448
1.524
1.679
1.778
1.854
1.905
1.275
1.374
1.445
1.527
1.679
1.775
1.854
1.905
Channel Elevation
Number
(m)
73
1.273
74
1.372
75
1.445
76
1.521
77
1.676
78
1.773
79
1.852
80
1.902
RodB3_50.2
RodB3_54.1
RodB3_56.9
RodB3_60.1
RodB3_66.1
RodB3_69.9
RodB3_73
RodB3_75
H.R.
Location
RodE2_50.1
RodE2_54
RodE2_56.9
RodE2_59.9
RodE2_66
RodE2_69.8
RodE2_72.9
RodE2_74.9
0.081
0.180
0.254
0.335
0.485
-0.022
0.056
0.105
0.079
0.178
0.254
0.330
0.485
-0.022
0.054
0.105
0.081
0.180
0.251
0.333
0.485
-0.025
0.054
0.105
Zgrid
(m)
0.079
0.178
0.251
0.328
0.483
-0.027
0.051
0.102
473.9
481.9
486.4
492.2
498.4
494.1
503.5
509.2
479.0
488.6
494.3
499.6
502.8
498.3
507.7
514.1
473.9
480.4
485.2
489.9
499.0
495.3
504.9
510.3
H.R. Tw
(K)
476.7
486.4
491.8
497.6
503.0
496.8
506.3
511.2
1956.4
2030.7
2085.7
2146.0
2257.1
2330.1
2388.0
2424.9
1952.5
2028.2
2086.7
2145.2
2264.1
2341.0
2398.3
2436.9
1955.8
2030.4
2084.0
2145.2
2259.7
2331.9
2390.7
2428.7
H.R. q''
2
(W/m )
1965.3
2040.6
2096.6
2154.4
2271.8
2345.2
2404.1
2442.6
448.4
453.1
456.8
461.0
469.0
474.5
478.9
481.7
448.2
453.0
456.8
460.8
469.0
474.5
478.8
481.7
448.4
453.1
456.7
460.9
469.0
474.4
478.8
481.7
Tcl
(K)
448.2
453.0
456.7
460.6
468.9
474.2
478.6
481.5
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
Correction
Factor
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
453.8
459.3
463.2
467.7
475.3
478.7
484.2
487.6
454.8
460.6
464.9
469.1
476.3
479.6
485.0
488.6
453.8
459.0
462.8
467.1
475.5
478.9
484.4
487.8
Tbulk
(K)
454.3
460.2
464.2
468.5
476.2
479.1
484.6
487.9
3676.6
3623.8
3587.5
3545.8
3477.5
3448.0
3401.0
3372.7
3666.8
3611.3
3571.8
3533.1
3469.3
3440.2
3394.4
3364.2
3676.4
3627.0
3591.0
3551.2
3476.3
3446.7
3399.6
3370.8
3671.6
3615.7
3577.8
3538.1
3469.8
3444.9
3397.9
3370.2
Re (z)
97.62
89.70
89.78
87.72
97.85
151.23
123.54
111.99
80.77
72.57
70.80
70.19
85.41
125.15
105.53
95.75
97.28
94.94
93.19
94.14
95.91
141.44
116.74
107.96
h (z)
2
(W/m -K)
87.78
77.82
76.06
74.20
84.77
132.17
110.54
104.83
Table SC-3173-A.1: Summary of Steam Cooling Data (cont.)
14.83
13.36
13.32
12.92
14.53
24.32
18.88
16.78
11.94
10.54
10.22
10.09
12.44
19.18
15.64
13.98
14.77
14.26
13.90
14.00
14.19
22.33
17.63
16.06
±σhtc
(W/m2-K)
13.04
11.32
11.00
10.67
12.28
20.43
16.46
15.45
15.19%
14.89%
14.83%
14.73%
14.85%
16.08%
15.28%
14.98%
14.78%
14.52%
14.44%
14.38%
14.56%
15.33%
14.82%
14.60%
15.18%
15.02%
14.91%
14.87%
14.79%
15.79%
15.10%
14.88%
Fractional
Uncertainty
14.86%
14.55%
14.47%
14.39%
14.49%
15.46%
14.89%
14.73%
35.50
32.17
31.89
30.80
33.70
51.64
41.59
37.38
29.30
25.94
25.04
24.56
29.35
42.63
35.46
31.87
35.37
34.08
33.13
33.11
33.02
48.27
39.28
36.01
31.88
27.85
26.94
26.00
29.13
45.09
37.18
34.96
Nu(z)
RBHT Steam Cooling Test SC-3178-A
Matrix test # 10
Test date – 3/31/2005
Steady state time window: 17100 - 18400 sec
Inlet flow: 0.94 m3/min (33.0 ft3/min)
Inlet steam temperature: 389 K (240 °F)
Upper plenum pressure: 133.8 kPa (19.4 psia)
Bundle power: 13.9 kW
Outlet steam temperature: 835 K (1044 °F)
Bundle inlet Reynolds number: 2019
Subchannel Centerline Temperatures
The equations below were correlated using the axial subchannel centerline temperature
distribution.
Subchannels D5 and E5 (use for inner 3x3 rod bundle thermocouple locations)
Tcl = -17.396x3 + 100.73x2 - 16.897x + 410.81
Subchannel C5 (use for 5x5 peripheral rod bundle thermocouple locations)
Tcl = -11.39x3 + 66.36x2 + 28.17x + 395.56
where x is the elevation (m) and Tcl is in (K)
A-87
A-88
A-89
A-90
A-91
A-92
Subchannels D5 and E5 Axial Temperature Profile
y = -17.396x 3 + 100.73x 2 - 16.897x + 410.81
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
2.5
3
3.5
4
3.5
4
Elevation (m)
Subchannel C5 Axial Temperature Profile
y = -11.39x 3 + 66.36x 2 + 28.17x + 395.56
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
Elevation (m)
A-93
2.5
3
A-94
241
242
243
244
245
246
247
248
201
202
204
205
208
193
194
195
196
197
198
199
200
RodE4_88.4
RodE4_91.2
RodE4_95.3
RodE4_100.9
RodE4_142.3
RodE3_63.4
RodE3_113.6
RodE3_115.5
RodE3_118.5
RodE3_122.7
RodE3_126.5
RodE3_131.7
RodE3_135.6
233
234
235
236
237
238
239
240
RodC4_88.4
RodC4_91.1
RodC4_93.4
RodC4_95.3
RodC4_100.1
RodC4_106.1
RodC4_110
RodC4_142.2
RodD4_88.3
RodD4_91.3
RodD4_93.2
RodD4_95.2
RodD4_100.1
RodD4_106.1
RodD4_110
RodD4_142.1
Channel
Number
185
186
187
188
189
190
191
192
H.R.
Location
RodD3_88.3
RodD3_91.3
RodD3_93.1
RodD3_95.3
RodD3_100.1
RodD3_106.1
RodD3_110
RodD3_142.1
1.610
2.885
2.934
3.010
3.117
3.213
3.345
3.444
2.245
2.316
2.421
2.563
3.614
2.243
2.319
2.367
2.418
2.543
2.695
2.794
3.609
2.245
2.314
2.372
2.421
2.543
2.695
2.794
3.612
Elevation
(m)
2.243
2.319
2.365
2.421
2.543
2.695
2.794
3.609
0.417
0.022
0.070
0.146
0.253
0.349
-0.046
0.053
-0.003
0.069
0.173
0.315
0.224
-0.005
0.071
0.119
0.170
0.295
0.447
0.546
0.218
-0.003
0.066
0.124
0.173
0.295
0.447
0.546
0.221
Zgrid
(m)
-0.005
0.071
0.117
0.173
0.295
0.447
0.546
0.218
625.2
815.3
821.9
830.0
836.6
839.7
842.3
844.1
718.1
732.5
756.1
779.6
850.4
720.9
738.0
749.8
761.8
787.1
804.1
807.7
854.0
714.0
731.9
745.4
757.2
782.1
798.3
801.0
850.1
H.R.Tw
(K)
713.0
732.4
745.0
759.5
783.0
800.8
805.6
847.3
3061.9
3766.2
3626.3
3403.9
3092.2
2811.0
2426.3
2135.7
3696.4
3767.1
3871.5
4013.3
1515.4
3751.9
3831.7
3882.0
3935.7
4064.3
4223.5
4079.4
1500.4
3765.4
3837.7
3899.5
3950.2
4076.9
4238.9
4102.6
1549.9
H.R. q''
(W/m2)
3721.3
3799.9
3847.4
3905.6
4031.5
4187.8
4135.9
1427.5
572.2
782.8
788.9
798.1
809.9
819.4
830.3
836.8
683.8
695.9
713.4
736.3
844.2
683.3
696.4
704.5
713.0
733.1
756.3
770.5
844.1
683.8
695.5
705.4
713.4
733.1
756.3
770.5
844.2
Tcl
(K)
683.3
696.4
704.1
713.4
733.1
756.3
770.5
844.1
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Correction
Factor
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
589.8
793.6
799.9
808.8
818.8
826.2
834.3
839.2
695.2
708.1
727.6
750.7
846.3
695.8
710.2
719.6
729.2
751.1
772.3
782.9
847.4
693.9
707.6
718.7
728.0
749.4
770.3
780.7
846.2
Tbulk
(K)
693.2
708.4
717.7
728.8
749.7
771.2
782.2
845.2
1424
1016
1007
995
982
972
962
956
1178
1153
1119
1080
947
1176
1150
1133
1116
1080
1047
1031
946
1180
1154
1134
1118
1082
1050
1034
947
1182
1153
1136
1117
1082
1048
1032
948
Re (z)
Table SC-3178-A.1: Summary of Steam Cooling Data
86.67
173.77
164.79
160.38
174.08
206.99
302.70
438.00
161.76
154.51
135.97
139.05
370.53
149.92
138.14
128.62
120.81
112.93
132.78
164.64
227.63
186.64
158.12
146.07
135.17
124.68
151.45
201.92
388.63
h (z)
(W/m2-K)
188.36
158.19
141.16
126.93
121.18
141.15
176.97
670.77
10.28
21.83
20.63
20.16
22.61
28.92
53.88
110.61
20.18
19.10
16.51
16.87
108.82
18.30
16.65
15.37
14.34
13.31
15.79
20.18
46.58
23.53
19.35
17.65
16.18
14.77
18.20
25.46
116.39
±σhtc
(W/m2-K)
23.99
19.51
17.13
15.22
14.43
16.98
21.70
357.16
11.87%
12.56%
12.52%
12.57%
12.99%
13.97%
17.80%
25.25%
12.47%
12.36%
12.14%
12.13%
29.37%
12.21%
12.06%
11.95%
11.87%
11.79%
11.90%
12.26%
20.46%
12.61%
12.23%
12.09%
11.97%
11.85%
12.02%
12.61%
29.95%
Fractional
Uncertainty
12.73%
12.33%
12.14%
11.99%
11.91%
12.03%
12.26%
53.25%
22.51
29.38
27.54
26.38
28.13
33.01
47.60
68.29
33.15
30.83
26.08
25.49
57.07
30.68
27.44
25.07
23.09
20.68
23.35
28.39
35.00
38.35
31.58
28.52
25.91
22.91
26.74
34.96
59.87
38.76
31.54
27.62
24.29
22.25
24.88
30.56
103.52
Nu(z)
A-95
Channel
Number
225
226
227
229
230
231
232
209
210
211
212
213
214
215
216
177
178
179
180
181
182
183
217
218
219
220
221
222
223
224
H.R.
Location
RodC5_63.7
RodC5_113.6
RodC5_115.7
RodC5_122.7
RodC5_126.7
RodC5_131.6
RodC5_135.7
RodE5_63.6
RodE5_113.6
RodE5_115.4
RodE5_118.7
RodE5_122.6
RodE5_126.6
RodE5_131.6
RodE5_135.6
RodC3_79.8
RodC3_85.6
RodC3_88.5
RodC3_92.4
RodC3_94.4
RodC3_97.2
RodC3_108.8
RodD5_50
RodD5_54.1
RodD5_56.9
RodD5_60
RodD5_66.1
RodD5_69.9
RodD5_72.9
RodD5_74.9
1.270
1.374
1.445
1.524
1.679
1.775
1.852
1.902
2.027
2.174
2.248
2.347
2.398
2.469
2.764
1.615
2.885
2.931
3.015
3.114
3.216
3.343
3.444
Elevation
(m)
1.618
2.885
2.939
3.117
3.218
3.343
3.447
0.076
0.180
0.251
0.330
0.485
-0.025
0.051
0.102
0.227
0.374
0.000
0.099
0.150
0.221
0.516
0.422
0.022
0.067
0.151
0.250
0.352
-0.048
0.053
Zgrid
(m)
0.424
0.022
0.075
0.253
0.354
-0.048
0.056
568.8
590.7
603.3
615.4
634.6
637.6
655.0
667.1
680.7
694.9
706.5
730.0
743.3
759.9
797.3
624.4
811.9
818.3
826.5
833.7
837.6
842.2
844.8
H.R.Tw
(K)
624.1
809.4
818.0
835.1
839.3
842.1
846.6
2718.2
2825.2
2898.5
2979.4
3138.6
3237.7
3315.7
3367.3
3480.8
3631.1
3707.0
3808.3
3859.3
3932.2
4143.4
3075.9
3789.3
3658.6
3417.4
3133.3
2842.5
2477.7
2185.1
H.R. q''
(W/m2)
3002.2
3672.9
3525.4
3033.4
2751.6
2407.4
2118.2
516.2
532.6
544.3
557.4
584.0
601.0
614.4
623.4
645.5
671.4
684.2
701.1
709.6
721.3
766.2
573.0
782.8
788.6
798.7
809.7
819.6
830.1
836.8
Tcl
(K)
573.5
782.8
789.6
809.9
819.8
830.1
836.9
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Correction
Factor
1.50
1.50
1.50
1.50
1.50
1.50
1.50
533.7
552.0
563.9
576.8
600.9
613.2
627.9
638.0
657.2
679.2
691.6
710.7
720.8
734.2
776.6
590.2
792.5
798.5
808.0
817.7
825.6
834.1
839.4
Tbulk
(K)
590.3
791.6
799.1
818.3
826.3
834.1
840.2
1602
1539
1501
1462
1393
1361
1324
1300
1256
1209
1185
1149
1130
1107
1040
1423
1017
1009
996
983
973
962
955
1422
1018
1008
982
972
962
955
Re (z)
77.54
72.99
73.69
77.04
93.11
132.48
122.76
115.84
148.50
232.60
249.48
197.57
171.89
152.68
200.27
89.77
194.93
184.89
184.63
195.52
236.94
305.56
408.03
h (z)
(W/m2-K)
88.96
207.12
185.72
180.99
212.58
299.37
326.52
Table SC-3178-A.1: Summary of Steam Cooling Data (cont.)
9.19
8.60
8.68
9.08
11.07
16.27
14.92
13.98
18.43
31.36
34.12
25.35
21.48
18.72
25.34
10.66
24.89
23.49
23.72
25.92
34.45
53.77
95.39
±σhtc
(W/m2-K)
10.74
27.41
24.19
24.07
30.40
53.34
66.58
11.86%
11.79%
11.77%
11.79%
11.89%
12.28%
12.16%
12.06%
12.41%
13.48%
13.67%
12.83%
12.49%
12.26%
12.65%
11.87%
12.77%
12.71%
12.85%
13.26%
14.54%
17.60%
23.38%
Fractional
Uncertainty
12.07%
13.23%
13.02%
13.30%
14.30%
17.82%
20.39%
23.20
20.83
20.40
20.66
23.55
32.55
29.15
26.88
33.01
49.30
51.50
39.21
33.42
28.91
34.94
23.30
33.02
30.98
30.41
31.65
37.83
48.06
63.59
23.08
35.14
31.09
29.27
33.90
47.09
50.82
Nu(z)
A-96
Channel
Number
153
154
155
156
157
158
159
160
105
106
107
108
109
110
111
112
57
58
59
60
61
62
63
64
137
138
139
140
141
142
143
144
H.R.
Location
RodB5_41
RodB5_52.9
RodB5_55
RodB5_57.8
RodB5_64
RodB5_73.9
RodB5_75.9
RodB5_76.9
RodF5_41
RodF5_53.1
RodF5_55
RodF5_57.8
RodF5_64
RodF5_73.8
RodF5_75.8
RodF5_76.8
RodC2_41
RodC2_53.1
RodC2_55
RodC2_57.8
RodC2_63.9
RodC2_73.8
RodC2_75.8
RodC2_76.8
RodC6_40.9
RodC6_52.8
RodC6_54.8
RodC6_57.8
RodC6_63.8
RodC6_73.7
RodC6_75.8
RodC6_76.8
1.039
1.341
1.392
1.468
1.621
1.872
1.925
1.951
1.041
1.349
1.397
1.468
1.623
1.875
1.925
1.951
1.041
1.349
1.397
1.468
1.626
1.875
1.925
1.951
Elevation
(m)
1.041
1.344
1.397
1.468
1.626
1.877
1.928
1.953
0.340
0.147
0.198
0.274
0.427
0.072
0.125
0.150
0.343
0.155
0.203
0.274
0.429
0.074
0.125
0.150
0.343
0.155
0.203
0.274
0.432
0.074
0.125
0.150
Zgrid
(m)
0.343
0.150
0.203
0.274
0.432
0.077
0.128
0.153
538.4
578.1
587.0
598.0
618.8
651.2
660.8
666.0
535.6
572.6
580.3
591.5
610.9
636.3
645.6
649.7
534.8
574.1
583.4
594.8
614.4
642.4
654.0
659.0
H.R.Tw
(K)
538.1
577.6
585.2
596.6
616.9
646.7
657.8
662.6
2454.7
2781.9
2836.7
2919.4
3084.2
3355.3
3413.2
3440.7
2467.1
2786.2
2836.3
2910.1
3070.9
3329.1
3381.4
3408.0
2454.3
2773.1
2823.0
2896.8
3059.9
3317.3
3369.5
3396.1
H.R. q''
2
(W/m )
2471.9
2784.5
2839.9
2913.6
3077.3
3337.8
3389.8
3416.0
483.7
525.2
532.6
543.9
567.0
606.2
614.5
618.5
484.0
526.3
533.4
543.9
567.4
606.6
614.5
618.5
484.0
526.3
533.4
543.9
567.8
606.6
614.5
618.5
Tcl
(K)
484.0
525.6
533.4
543.9
567.8
607.0
614.9
618.9
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Correction
Factor
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
501.9
542.8
550.8
561.9
584.3
621.2
630.0
634.3
501.2
541.8
549.0
559.8
581.9
616.5
624.9
628.9
500.9
542.2
550.1
560.9
583.3
618.5
627.7
632.0
Tbulk
(K)
502.1
542.9
550.7
561.5
584.2
620.2
629.2
633.5
1723
1570
1543
1507
1440
1340
1319
1308
1726
1574
1549
1514
1447
1352
1331
1321
1727
1572
1546
1511
1442
1347
1324
1314
1722
1570
1544
1509
1440
1343
1321
1310
Re (z)
67.31
78.97
78.22
81.04
89.42
111.68
110.58
108.69
71.66
90.31
90.77
91.76
105.83
167.93
163.50
163.83
72.50
87.15
84.64
85.41
98.51
138.82
128.15
125.78
h (z)
(W/m2-K)
68.50
80.39
82.16
82.90
94.06
126.03
118.51
117.36
Table SC-3178-A.1: Summary of Steam Cooling Data (cont.)
8.01
9.38
9.27
9.60
10.60
13.38
13.21
12.96
8.54
10.84
10.89
10.99
12.77
21.34
20.62
20.70
8.68
10.47
10.13
10.21
11.85
17.16
15.69
15.35
±σhtc
(W/m2-K)
8.13
9.56
9.77
9.85
11.22
15.34
14.33
14.17
11.90%
11.88%
11.85%
11.84%
11.86%
11.98%
11.95%
11.92%
11.92%
12.01%
11.99%
11.98%
12.07%
12.71%
12.61%
12.64%
11.97%
12.01%
11.97%
11.95%
12.03%
12.36%
12.24%
12.20%
Fractional
Uncertainty
11.87%
11.89%
11.89%
11.88%
11.93%
12.17%
12.09%
12.07%
21.91
23.07
22.39
22.55
23.54
26.94
26.13
25.43
23.37
26.46
26.10
25.68
28.02
40.95
39.10
38.81
23.66
25.50
24.27
23.83
26.00
33.69
30.45
29.59
22.29
23.48
23.53
23.10
24.77
30.46
28.06
27.52
Nu(z)
A-97
Channel
Number
161
162
163
164
165
166
167
168
98
99
100
101
102
103
104
65
66
67
68
69
70
71
72
129
130
131
132
133
134
135
136
H.R.
Location
RodB4_88.4
RodB4_91.3
RodB4_93.3
RodB4_95.1
RodB4_100
RodB4_106
RodB4_109.9
RodB4_142.3
RodF4_85.6
RodF4_88.4
RodF4_92.4
RodF4_94.3
RodF4_97.2
RodF4_108.8
RodF4_111
RodD2_103.2
RodD2_106
RodD2_112.6
RodD2_114.9
RodD2_117.4
RodD2_120.8
RodD2_124.8
RodD2_128.6
RodD6_103.1
RodD6_106
RodD6_112.9
RodD6_114.9
RodD6_116.8
RodD6_120.9
RodD6_124.8
RodD6_128.7
2.619
2.692
2.868
2.918
2.967
3.071
3.170
3.269
2.621
2.692
2.860
2.918
2.982
3.068
3.170
3.266
2.174
2.245
2.347
2.395
2.469
2.764
2.819
Elevation
(m)
2.245
2.319
2.370
2.416
2.540
2.692
2.791
3.614
0.371
0.445
0.004
0.055
0.103
0.207
0.306
0.405
0.373
0.445
-0.004
0.055
0.118
0.204
0.306
0.403
0.374
-0.003
0.099
0.147
0.221
0.516
-0.044
Zgrid
(m)
-0.003
0.071
0.122
0.168
0.292
0.445
0.544
1.367
767.9
777.2
796.5
803.8
809.1
816.4
820.3
825.5
764.8
774.8
793.0
803.1
809.5
818.3
823.5
826.6
691.2
703.7
726.5
737.8
753.4
791.6
796.4
H.R.Tw
(K)
701.5
720.2
731.3
740.4
759.6
780.3
785.6
834.2
4124.2
4200.2
3831.3
3673.2
3522.6
3199.3
2891.2
2584.1
4117.3
4191.6
3843.3
3663.1
3469.1
3203.4
2890.2
2594.5
3642.0
3715.0
3818.1
3867.7
3942.6
4162.0
3991.7
H.R. q''
(W/m2)
3691.2
3764.4
3814.7
3860.0
3983.5
4135.0
4003.5
1536.1
719.9
730.2
753.6
760.0
765.9
778.1
789.0
799.0
720.3
730.2
752.6
760.0
767.7
777.8
789.0
798.8
653.5
664.5
680.0
687.3
698.3
739.9
747.3
Tcl
(K)
664.5
675.8
683.5
690.3
708.7
730.2
743.6
826.7
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Correction
Factor
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
735.9
745.9
767.9
774.6
780.3
790.9
799.4
807.8
735.1
745.1
766.1
774.4
781.6
791.3
800.5
808.1
666.1
677.5
695.5
704.1
716.7
757.1
763.7
Tbulk
(K)
676.8
690.6
699.4
707.0
725.7
746.9
757.6
829.2
1104
1088
1053
1043
1035
1020
1008
996
1106
1089
1056
1044
1033
1019
1006
996
1237
1213
1177
1161
1138
1070
1060
1214
1187
1170
1155
1122
1086
1069
968
Re (z)
128.89
134.16
133.85
125.66
122.41
125.52
138.42
146.77
138.70
141.07
142.53
127.24
124.74
118.75
125.72
140.02
144.77
142.27
123.29
114.93
107.17
120.81
121.93
h (z)
(W/m2-K)
149.45
127.02
119.51
115.61
117.23
123.93
143.01
306.51
Table SC-3178-A.1: Summary of Steam Cooling Data (cont.)
15.37
16.03
16.19
15.17
14.81
15.41
17.52
19.25
16.67
16.95
17.38
15.41
15.16
14.49
15.67
18.15
17.77
17.38
14.80
13.70
12.70
14.35
14.54
±σhtc
(W/m2-K)
18.45
15.37
14.37
13.86
14.04
14.87
17.49
76.14
11.92%
11.95%
12.09%
12.07%
12.10%
12.28%
12.66%
13.11%
12.02%
12.02%
12.19%
12.11%
12.16%
12.20%
12.47%
12.96%
12.27%
12.22%
12.01%
11.92%
11.85%
11.88%
11.93%
Fractional
Uncertainty
12.35%
12.10%
12.03%
11.99%
11.98%
12.00%
12.23%
24.84%
24.32
24.82
23.74
22.01
21.21
21.33
23.15
24.18
26.21
26.14
25.37
22.29
21.56
20.16
20.99
23.06
31.57
30.26
25.25
23.12
21.01
21.87
21.80
31.84
26.28
24.28
23.12
22.57
22.88
25.86
48.63
Nu(z)
A-98
Channel
Number
73
74
75
76
77
78
79
80
169
170
171
172
173
174
175
176
89
90
91
92
93
94
95
96
121
122
123
124
125
126
127
128
H.R.
Location
RodE2_50.1
RodE2_54
RodE2_56.9
RodE2_59.9
RodE2_66
RodE2_69.8
RodE2_72.9
RodE2_74.9
RodB3_50.2
RodB3_54.1
RodB3_56.9
RodB3_60.1
RodB3_66.1
RodB3_69.9
RodB3_73
RodB3_75
RodF3_50.1
RodF3_54
RodF3_57
RodF3_60
RodF3_66.1
RodF3_70
RodF3_73
RodF3_75
RodE6_50.2
RodE6_54.1
RodE6_57
RodE6_60.2
RodE6_66.1
RodE6_70
RodE6_73.1
RodE6_75
1.275
1.374
1.448
1.529
1.679
1.778
1.857
1.905
1.273
1.372
1.448
1.524
1.679
1.778
1.854
1.905
1.275
1.374
1.445
1.527
1.679
1.775
1.854
1.905
Elevation
(m)
1.273
1.372
1.445
1.521
1.676
1.773
1.852
1.902
0.081
0.180
0.254
0.335
0.485
-0.022
0.056
0.105
0.079
0.178
0.254
0.330
0.485
-0.022
0.054
0.105
0.081
0.180
0.251
0.333
0.485
-0.025
0.054
0.105
Zgrid
(m)
0.079
0.178
0.251
0.328
0.483
-0.027
0.051
0.102
561.2
579.9
590.6
603.0
620.7
622.9
638.3
649.7
564.1
583.8
595.3
605.6
621.2
625.2
640.8
653.2
551.7
568.9
581.7
594.3
614.6
618.2
632.0
643.5
H.R.Tw
(K)
560.2
580.5
591.8
603.7
620.5
623.1
636.9
647.0
2708.8
2810.3
2885.8
2969.3
3122.9
3224.5
3305.0
3354.8
2710.8
2816.3
2896.6
2977.5
3141.2
3245.9
3325.6
3379.5
2710.8
2813.2
2886.2
2971.3
3129.7
3230.3
3311.2
3363.6
H.R. q''
2
(W/m )
2726.3
2830.0
2907.4
2987.4
3150.0
3250.9
3332.5
3385.2
515.8
530.0
540.9
553.1
576.0
591.4
603.8
611.3
515.4
529.7
540.9
552.3
576.0
591.4
603.4
611.3
515.8
530.0
540.5
552.7
576.0
591.0
603.4
611.3
Tcl
(K)
515.4
529.7
540.5
551.9
575.6
590.6
603.0
610.9
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Correction
Factor
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
530.9
546.7
557.5
569.7
590.9
601.9
615.3
624.1
531.6
547.7
559.0
570.1
591.1
602.7
615.9
625.3
527.7
543.0
554.2
566.6
588.9
600.1
612.9
622.1
Tbulk
(K)
530.3
546.6
557.6
569.2
590.6
601.5
614.3
623.0
1612
1557
1521
1483
1421
1390
1355
1333
1609
1553
1516
1482
1420
1388
1354
1330
1623
1569
1532
1493
1426
1395
1361
1338
1614
1557
1521
1485
1422
1392
1358
1336
Re (z)
89.40
84.54
87.06
89.24
104.81
153.68
143.60
131.21
83.50
78.01
79.89
83.75
104.39
144.08
133.10
120.95
113.20
108.47
105.23
107.07
121.66
178.61
173.27
156.85
h (z)
(W/m2-K)
91.37
83.53
85.06
86.64
105.39
150.14
147.39
140.74
Table SC-3178-A.1: Summary of Steam Cooling Data (cont.)
10.76
10.10
10.40
10.65
12.63
19.36
17.83
16.10
9.98
9.25
9.46
9.93
12.52
17.88
16.28
14.63
13.97
13.25
12.78
12.98
14.87
23.11
22.17
19.66
±σhtc
(W/m2-K)
10.96
9.91
10.09
10.26
12.62
18.71
18.25
17.27
12.03%
11.94%
11.94%
11.94%
12.05%
12.60%
12.42%
12.27%
11.95%
11.85%
11.84%
11.85%
12.00%
12.41%
12.23%
12.09%
12.34%
12.22%
12.14%
12.12%
12.22%
12.94%
12.79%
12.53%
Fractional
Uncertainty
12.00%
11.87%
11.86%
11.85%
11.98%
12.46%
12.38%
12.27%
26.94
24.46
24.50
24.35
27.15
38.78
35.11
31.43
25.11
22.51
22.40
22.83
27.03
36.29
32.50
28.89
34.39
31.68
29.86
29.45
31.67
45.27
42.60
37.75
27.58
24.17
23.93
23.68
27.33
37.93
36.12
33.80
Nu(z)
RBHT Steam Cooling Test SC-3178-B
Matrix test # 11
Test date – 3/31/2005
Steady state time window: 24000 - 24300 sec
Inlet flow: 2.78 m3/min (98.3 ft3/min)
Inlet steam temperature: 409 K (277 °F)
Upper plenum pressure: 133.8 kPa (19.4 psia)
Bundle power: 30.1 kW
Outlet steam temperature: 805 K (990 °F)
Bundle inlet Reynolds number: 5359
Subchannel Centerline Temperatures
The equations below were correlated using the axial subchannel centerline temperature
distribution.
Subchannels D5 and E5 (use for inner 3x3 rod bundle thermocouple locations)
Tcl = -13.526x3 + 86.131x2 - 29.021x + 432.39
Subchannel C5 (use for 5x5 peripheral rod bundle thermocouple locations)
Tcl = -10.085x3 + 66.105x2 - 5.3139x + 425.12
where x is the elevation (m) and Tcl is in (K)
A-99
A-100
A-101
A-102
A-103
A-104
Subchannels D5 and E5 Axial Temperature Profile
y = -13.526x 3 + 86.131x 2 - 29.021x + 432.39
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
2.5
3
3.5
4
3.5
4
Elevation (m)
Subchannel C5 Axial Temperature Profile
y = -10.085x 3 + 66.105x 2 - 5.3139x + 425.12
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
Elevation (m)
A-105
2.5
3
A-106
Channel
Number
185
186
187
188
189
190
191
192
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
201
202
204
205
208
193
194
195
196
197
198
199
200
H.R.
Location
RodD3_88.3
RodD3_91.3
RodD3_93.1
RodD3_95.3
RodD3_100.1
RodD3_106.1
RodD3_110
RodD3_142.1
RodC4_88.4
RodC4_91.1
RodC4_93.4
RodC4_95.3
RodC4_100.1
RodC4_106.1
RodC4_110
RodC4_142.2
RodD4_88.3
RodD4_91.3
RodD4_93.2
RodD4_95.2
RodD4_100.1
RodD4_106.1
RodD4_110
RodD4_142.1
RodE4_88.4
RodE4_91.2
RodE4_95.3
RodE4_100.9
RodE4_142.3
RodE3_63.4
RodE3_113.6
RodE3_115.5
RodE3_118.5
RodE3_122.7
RodE3_126.5
RodE3_131.7
RodE3_135.6
1.610
2.885
2.934
3.010
3.117
3.213
3.345
3.444
2.245
2.316
2.421
2.563
3.614
2.243
2.319
2.367
2.418
2.543
2.695
2.794
3.609
2.245
2.314
2.372
2.421
2.543
2.695
2.794
3.612
Elevation
(m)
2.243
2.319
2.365
2.421
2.543
2.695
2.794
3.609
0.417
0.022
0.070
0.146
0.253
0.349
-0.046
0.053
-0.003
0.069
0.173
0.315
0.224
-0.005
0.071
0.119
0.170
0.295
0.447
0.546
0.218
-0.003
0.066
0.124
0.173
0.295
0.447
0.546
0.221
Zgrid
(m)
-0.005
0.071
0.117
0.173
0.295
0.447
0.546
0.218
632.9
792.8
804.7
816.2
824.9
827.1
812.7
817.5
691.8
717.7
745.9
770.5
825.5
698.6
725.3
739.4
751.3
774.8
795.4
783.7
832.6
693.3
719.6
734.3
748.2
772.4
795.9
784.9
833.0
H.R.Tw
(K)
692.4
723.0
737.2
752.0
776.3
798.6
789.8
823.9
6615.7
8157.7
7852.5
7374.8
6702.5
6098.1
5268.9
4645.9
7989.0
8143.1
8370.9
8682.5
3305.4
8110.3
8285.0
8394.1
8507.9
8793.7
9141.2
8830.0
3268.8
8139.2
8296.6
8430.5
8541.6
8823.1
9172.6
8878.2
3383.1
H.R. q''
(W/m2)
8049.9
8218.1
8318.9
8443.4
8723.3
9066.5
8955.8
3117.1
552.5
740.8
747.0
756.5
769.1
779.7
792.8
801.5
648.4
659.2
675.0
696.1
814.0
648.0
659.6
666.9
674.6
693.1
715.0
728.7
813.7
648.4
658.8
667.7
675.0
693.1
715.0
728.7
813.9
Tcl
(K)
648.0
659.6
666.5
675.0
693.1
715.0
728.7
813.7
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
Correction
Factor
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
569.7
752.0
759.4
769.3
781.0
789.8
797.1
805.0
657.7
671.7
690.2
712.0
816.5
658.8
673.7
682.4
691.0
710.6
732.2
740.4
817.7
658.0
671.8
682.0
690.7
710.1
732.3
740.7
817.9
Tbulk
(K)
657.5
673.2
681.7
691.5
710.9
732.9
741.8
815.9
4177
3037
3004
2961
2912
2876
2847
2817
3535
3450
3345
3229
2773
3527
3438
3388
3340
3236
3129
3090
2769
3533
3449
3391
3342
3239
3128
3088
2768
3536
3441
3392
3338
3234
3125
3084
2776
Re (z)
Table SC-3178-B.1: Summary of Steam Cooling Data
104.79
199.48
173.36
157.29
152.75
163.72
337.04
369.25
233.88
177.04
150.07
148.47
367.39
203.84
160.57
147.38
141.18
136.97
144.60
204.17
219.92
230.60
173.76
161.13
148.45
141.54
144.20
200.88
225.34
h (z)
(W/m2-K)
230.26
165.01
149.74
139.50
133.31
138.02
186.25
389.91
7.03
14.24
12.14
10.94
10.72
11.85
35.19
44.66
17.43
12.40
10.23
10.07
58.11
14.58
10.98
9.96
9.48
9.14
9.66
14.38
23.95
16.93
12.01
10.99
10.00
9.46
9.61
14.07
24.23
±σhtc
(W/m2-K)
17.01
11.38
10.18
9.39
8.91
9.22
12.82
68.50
6.71%
7.14%
7.00%
6.95%
7.02%
7.24%
10.44%
12.09%
7.45%
7.00%
6.82%
6.78%
15.82%
7.15%
6.84%
6.76%
6.71%
6.67%
6.68%
7.04%
10.89%
7.34%
6.91%
6.82%
6.74%
6.68%
6.67%
7.00%
10.75%
Fractional
Uncertainty
7.39%
6.90%
6.80%
6.73%
6.68%
6.68%
6.88%
17.57%
28.60
36.47
31.25
27.82
26.43
27.87
56.62
61.15
51.94
38.13
31.08
29.39
59.61
45.16
34.44
31.02
29.19
27.19
27.48
38.18
35.60
51.18
37.42
33.95
30.71
28.13
27.40
37.54
36.46
51.16
35.43
31.57
28.81
26.44
26.19
34.73
63.33
Nu(z)
A-107
Channel
Number
225
226
227
229
230
231
232
209
210
211
212
213
214
215
216
177
178
179
180
181
182
183
217
218
219
220
221
222
223
224
H.R.
Location
RodC5_63.7
RodC5_113.6
RodC5_115.7
RodC5_122.7
RodC5_126.7
RodC5_131.6
RodC5_135.7
RodE5_63.6
RodE5_113.6
RodE5_115.4
RodE5_118.7
RodE5_122.6
RodE5_126.6
RodE5_131.6
RodE5_135.6
RodC3_79.8
RodC3_85.6
RodC3_88.5
RodC3_92.4
RodC3_94.4
RodC3_97.2
RodC3_108.8
RodD5_50
RodD5_54.1
RodD5_56.9
RodD5_60
RodD5_66.1
RodD5_69.9
RodD5_72.9
RodD5_74.9
1.270
1.374
1.445
1.524
1.679
1.775
1.852
1.902
2.027
2.174
2.248
2.347
2.398
2.469
2.764
1.615
2.885
2.931
3.015
3.114
3.216
3.343
3.444
Elevation
(m)
1.618
2.885
2.939
3.117
3.218
3.343
3.447
0.076
0.180
0.251
0.330
0.485
-0.025
0.051
0.102
0.227
0.374
0.000
0.099
0.150
0.221
0.516
0.422
0.022
0.067
0.151
0.250
0.352
-0.048
0.053
Zgrid
(m)
0.424
0.022
0.075
0.253
0.354
-0.048
0.056
576.2
599.4
612.4
624.8
638.9
620.3
649.0
664.8
677.2
685.3
689.4
723.6
735.0
754.6
792.8
628.7
781.6
791.7
802.2
811.4
816.3
804.8
812.1
H.R.Tw
(K)
637.0
787.0
801.9
822.9
826.2
813.5
820.7
5872.2
6103.2
6262.4
6438.3
6783.1
6999.1
7166.1
7279.5
7522.5
7851.6
8013.3
8233.1
8347.6
8504.4
8967.5
6647.9
8205.2
7920.8
7403.3
6790.8
6162.8
5378.9
4749.1
H.R. q''
(W/m2)
6487.0
7955.4
7635.8
6575.4
5969.1
5229.5
4604.7
506.8
520.1
529.5
540.3
562.4
576.7
588.1
595.8
614.8
637.4
648.7
663.8
671.5
682.2
724.5
553.3
740.8
746.7
757.1
768.8
779.9
792.6
801.5
Tcl
(K)
553.6
740.8
747.7
769.1
780.2
792.6
801.7
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
Correction
Factor
1.27
1.27
1.27
1.27
1.27
1.27
1.27
521.6
537.0
547.3
558.4
578.8
586.0
601.1
610.6
628.2
647.7
657.4
676.6
685.1
697.7
739.1
569.4
749.6
756.3
766.8
777.9
787.7
795.2
803.8
Tbulk
(K)
571.5
750.7
759.3
780.6
790.1
797.0
805.8
4636
4479
4380
4277
4100
4041
3922
3852
3727
3597
3536
3421
3373
3304
3096
4180
3048
3017
2972
2925
2885
2855
2821
4162
3043
3004
2913
2875
2847
2814
Re (z)
107.63
97.93
96.16
96.99
112.91
204.38
149.62
134.28
153.35
208.73
250.91
175.45
167.34
149.38
167.16
112.09
255.69
224.18
209.21
202.99
215.59
560.84
571.81
h (z)
(W/m2-K)
98.98
219.14
179.26
155.33
165.15
318.02
309.67
Table SC-3178-B.1: Summary of Steam Cooling Data (cont.)
7.32
6.57
6.42
6.47
7.60
15.12
10.38
9.16
10.62
15.18
19.03
12.23
11.56
10.15
11.43
7.55
19.32
16.49
15.36
15.08
16.76
83.76
96.34
±σhtc
(W/m2-K)
6.68
16.20
12.81
11.05
12.11
32.24
33.37
6.80%
6.71%
6.68%
6.67%
6.73%
7.40%
6.94%
6.82%
6.93%
7.27%
7.58%
6.97%
6.91%
6.79%
6.84%
6.74%
7.56%
7.36%
7.34%
7.43%
7.78%
14.93%
16.85%
Fractional
Uncertainty
6.75%
7.39%
7.14%
7.12%
7.33%
10.14%
10.78%
33.24
29.04
27.77
27.23
30.13
53.59
37.82
33.20
36.39
47.39
55.75
37.39
35.03
30.45
31.34
30.61
46.97
40.65
37.18
35.33
36.85
94.55
94.90
26.89
40.16
32.32
26.90
28.10
53.43
51.21
Nu(z)
A-108
Channel
Number
153
154
155
156
157
158
159
160
105
106
107
108
109
110
111
112
57
58
59
60
61
62
63
64
137
138
139
140
141
142
143
144
H.R.
Location
RodB5_41
RodB5_52.9
RodB5_55
RodB5_57.8
RodB5_64
RodB5_73.9
RodB5_75.9
RodB5_76.9
RodF5_41
RodF5_53.1
RodF5_55
RodF5_57.8
RodF5_64
RodF5_73.8
RodF5_75.8
RodF5_76.8
RodC2_41
RodC2_53.1
RodC2_55
RodC2_57.8
RodC2_63.9
RodC2_73.8
RodC2_75.8
RodC2_76.8
RodC6_40.9
RodC6_52.8
RodC6_54.8
RodC6_57.8
RodC6_63.8
RodC6_73.7
RodC6_75.8
RodC6_76.8
1.039
1.341
1.392
1.468
1.621
1.872
1.925
1.951
1.041
1.349
1.397
1.468
1.623
1.875
1.925
1.951
1.041
1.349
1.397
1.468
1.626
1.875
1.925
1.951
Elevation
(m)
1.041
1.344
1.397
1.468
1.626
1.877
1.928
1.953
0.340
0.147
0.198
0.274
0.427
0.072
0.125
0.150
0.343
0.155
0.203
0.274
0.429
0.074
0.125
0.150
0.343
0.155
0.203
0.274
0.432
0.074
0.125
0.150
Zgrid
(m)
0.343
0.150
0.203
0.274
0.432
0.077
0.128
0.153
558.3
592.6
602.4
615.5
634.3
653.8
665.7
672.2
551.9
593.1
601.4
613.1
628.5
641.5
653.3
658.2
553.9
585.5
594.9
606.4
623.1
639.2
652.3
657.8
H.R.Tw
(K)
557.8
590.5
598.7
611.3
629.6
651.4
664.3
669.6
5298.5
6010.6
6129.3
6307.8
6664.5
7254.6
7377.8
7436.1
5325.5
6016.8
6125.8
6286.8
6637.1
7199.3
7312.4
7370.9
5301.3
5991.6
6101.5
6260.5
6615.6
7173.7
7288.3
7346.3
H.R. q''
2
(W/m )
5339.6
6014.2
6135.6
6294.7
6649.9
7213.2
7325.7
7385.7
479.6
512.6
518.6
527.9
547.2
580.7
588.0
591.4
479.9
513.5
519.2
527.9
547.5
581.0
588.0
591.4
479.9
513.5
519.2
527.9
547.8
581.0
588.0
591.4
Tcl
(K)
479.9
512.9
519.2
527.9
547.8
581.4
588.3
591.8
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
Correction
Factor
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
496.5
529.7
536.5
546.7
565.8
596.3
604.6
608.7
495.3
530.5
536.8
546.1
564.8
594.0
602.0
605.7
495.7
528.9
535.4
544.7
564.0
593.5
601.7
605.6
Tbulk
(K)
496.6
529.5
536.2
545.7
565.4
596.3
604.6
608.5
4916
4552
4484
4386
4211
3959
3896
3865
4929
4544
4481
4391
4220
3978
3916
3888
4924
4561
4495
4404
4227
3982
3918
3888
4915
4554
4487
4394
4215
3959
3896
3867
Re (z)
85.75
95.61
93.11
91.57
97.38
126.23
120.70
117.12
94.08
96.14
94.80
93.91
104.32
151.41
142.28
140.53
91.15
105.87
102.52
101.42
111.90
156.81
144.07
140.92
h (z)
2
(W/m -K)
87.25
98.60
98.20
96.08
103.45
131.13
122.57
120.74
Table SC-3178-B.1: Summary of Steam Cooling Data (cont.)
5.78
6.42
6.22
6.09
6.47
8.53
8.10
7.83
6.39
6.46
6.35
6.27
6.99
10.50
9.78
9.64
6.19
7.20
6.93
6.83
7.57
10.96
9.94
9.68
±σhtc
(W/m2-K)
5.87
6.64
6.59
6.42
6.93
8.93
8.27
8.13
6.74%
6.71%
6.68%
6.65%
6.65%
6.76%
6.71%
6.69%
6.79%
6.72%
6.70%
6.68%
6.70%
6.94%
6.88%
6.86%
6.79%
6.80%
6.76%
6.74%
6.76%
6.99%
6.90%
6.87%
Fractional
Uncertainty
6.73%
6.73%
6.71%
6.69%
6.69%
6.81%
6.75%
6.73%
28.32
28.90
27.65
26.49
26.84
32.28
30.26
29.08
31.17
29.00
28.13
27.20
28.82
38.94
35.90
35.14
30.17
32.07
30.53
29.49
30.98
40.38
36.37
35.25
28.81
29.82
29.18
27.86
28.54
33.53
30.74
30.00
Nu(z)
A-109
Channel
Number
161
162
163
164
165
166
167
168
98
99
100
101
102
103
104
65
66
67
68
69
70
71
72
129
130
131
132
133
134
135
136
H.R.
Location
RodB4_88.4
RodB4_91.3
RodB4_93.3
RodB4_95.1
RodB4_100
RodB4_106
RodB4_109.9
RodB4_142.3
RodF4_85.6
RodF4_88.4
RodF4_92.4
RodF4_94.3
RodF4_97.2
RodF4_108.8
RodF4_111
RodD2_103.2
RodD2_106
RodD2_112.6
RodD2_114.9
RodD2_117.4
RodD2_120.8
RodD2_124.8
RodD2_128.6
RodD6_103.1
RodD6_106
RodD6_112.9
RodD6_114.9
RodD6_116.8
RodD6_120.9
RodD6_124.8
RodD6_128.7
2.619
2.692
2.868
2.918
2.967
3.071
3.170
3.269
2.621
2.692
2.860
2.918
2.982
3.068
3.170
3.266
2.174
2.245
2.347
2.395
2.469
2.764
2.819
Elevation
(m)
2.245
2.319
2.370
2.416
2.540
2.692
2.791
3.614
0.371
0.445
0.004
0.055
0.103
0.207
0.306
0.405
0.373
0.445
-0.004
0.055
0.118
0.204
0.306
0.403
0.374
-0.003
0.099
0.147
0.221
0.516
-0.044
Zgrid
(m)
-0.003
0.071
0.122
0.168
0.292
0.445
0.544
0.224
767.2
775.6
766.9
782.4
792.5
801.5
806.8
807.9
767.3
777.3
768.0
785.3
793.6
804.7
810.3
810.5
680.2
681.9
717.0
730.6
747.8
774.7
767.2
H.R.Tw
(K)
687.5
716.0
729.6
741.3
761.4
784.1
775.1
824.7
8926.8
9093.4
8298.2
7956.7
7634.2
6934.9
6268.4
5609.9
8916.4
9075.7
8328.7
7936.6
7518.1
6945.9
6272.5
5634.0
7878.8
8034.8
8262.2
8369.0
8529.6
9011.7
8644.4
H.R. q''
(W/m2)
7979.3
8138.6
8250.8
8349.4
8618.0
8951.3
8665.5
3353.9
683.4
693.2
715.7
722.0
727.8
740.1
751.3
761.9
683.8
693.2
714.7
722.0
729.7
739.8
751.3
761.6
622.4
632.3
646.4
653.1
663.2
702.4
709.6
Tcl
(K)
632.3
642.5
649.6
655.9
672.8
693.2
706.0
793.3
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
Correction
Factor
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
701.4
710.8
726.6
734.9
741.7
753.3
763.2
771.7
701.6
711.2
726.1
735.5
743.4
753.7
763.9
772.1
634.8
642.9
661.5
669.7
681.3
717.9
721.9
Tbulk
(K)
644.1
658.3
666.7
674.1
691.8
712.6
720.8
800.0
3284
3235
3156
3116
3084
3031
2987
2951
3283
3233
3158
3113
3076
3029
2984
2949
3682
3628
3511
3462
3395
3199
3179
3620
3531
3480
3436
3336
3225
3184
2836
Re (z)
135.64
140.38
205.92
167.41
150.31
143.69
143.57
154.92
135.81
137.36
199.05
159.34
149.66
136.28
135.34
146.53
173.50
206.33
148.88
137.37
128.25
158.62
190.81
h (z)
(W/m2-K)
184.04
140.90
131.21
124.36
123.79
125.27
159.69
136.16
Table SC-3178-B.1: Summary of Steam Cooling Data (cont.)
9.04
9.37
14.73
11.63
10.34
9.97
10.13
11.37
9.06
9.16
14.15
11.01
10.32
9.38
9.45
10.60
12.15
14.87
10.13
9.25
8.57
10.75
13.34
±σhtc
(W/m2-K)
13.02
9.57
8.84
8.33
8.27
8.35
10.96
11.28
6.67%
6.68%
7.15%
6.95%
6.88%
6.94%
7.06%
7.34%
6.67%
6.67%
7.11%
6.91%
6.90%
6.88%
6.98%
7.24%
7.00%
7.21%
6.80%
6.74%
6.68%
6.78%
6.99%
Fractional
Uncertainty
7.08%
6.79%
6.74%
6.70%
6.68%
6.67%
6.86%
8.28%
27.44
27.85
39.57
31.65
28.04
26.20
25.69
27.28
27.46
27.23
38.29
30.08
27.83
24.83
24.18
25.78
40.56
47.35
32.79
29.72
27.06
31.02
37.02
42.12
31.25
28.57
26.65
25.55
24.76
31.05
22.75
Nu(z)
A-110
Channel
Number
73
74
75
76
77
78
79
80
169
170
171
172
173
174
175
176
89
90
91
92
93
94
95
96
121
122
123
124
125
126
127
128
H.R.
Location
RodE2_50.1
RodE2_54
RodE2_56.9
RodE2_59.9
RodE2_66
RodE2_69.8
RodE2_72.9
RodE2_74.9
RodB3_50.2
RodB3_54.1
RodB3_56.9
RodB3_60.1
RodB3_66.1
RodB3_69.9
RodB3_73
RodB3_75
RodF3_50.1
RodF3_54
RodF3_57
RodF3_60
RodF3_66.1
RodF3_70
RodF3_73
RodF3_75
RodE6_50.2
RodE6_54.1
RodE6_57
RodE6_60.2
RodE6_66.1
RodE6_70
RodE6_73.1
RodE6_75
1.275
1.374
1.448
1.529
1.679
1.778
1.857
1.905
1.273
1.372
1.448
1.524
1.679
1.778
1.854
1.905
1.275
1.374
1.445
1.527
1.679
1.775
1.854
1.905
Elevation
(m)
1.273
1.372
1.445
1.521
1.676
1.773
1.852
1.902
0.081
0.180
0.254
0.335
0.485
-0.022
0.056
0.105
0.079
0.178
0.254
0.330
0.485
-0.022
0.054
0.105
0.081
0.180
0.251
0.333
0.485
-0.025
0.054
0.105
Zgrid
(m)
0.079
0.178
0.251
0.328
0.483
-0.027
0.051
0.102
568.8
588.8
599.6
611.1
624.1
609.2
636.0
650.3
574.4
596.3
608.9
620.5
627.0
612.8
638.0
652.6
565.9
582.1
592.0
601.3
622.2
608.6
634.0
647.5
H.R.Tw
(K)
571.4
593.7
606.4
619.5
633.2
612.4
636.8
648.9
5855.0
6074.9
6238.5
6420.4
6753.5
6971.9
7146.5
7256.8
5854.7
6081.7
6256.9
6433.6
6789.3
7012.7
7187.8
7305.3
5854.5
6076.7
6238.6
6419.3
6761.5
6979.1
7154.2
7268.5
H.R. q''
2
(W/m )
5887.3
6113.2
6279.9
6452.9
6805.5
7024.8
7202.8
7318.1
504.9
516.5
525.4
535.5
554.8
568.0
578.6
585.2
504.6
516.2
525.4
534.9
554.8
568.0
578.2
585.2
504.9
516.5
525.1
535.2
554.8
567.6
578.2
585.2
Tcl
(K)
504.6
516.2
525.1
534.5
554.5
567.3
577.9
584.8
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
Correction
Factor
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
518.6
532.0
541.3
551.7
569.6
576.8
590.9
599.1
519.6
533.3
543.3
553.2
570.3
577.6
591.0
599.6
518.0
530.5
539.4
549.3
569.2
576.4
590.2
598.5
Tbulk
(K)
518.9
532.8
542.5
552.7
571.3
576.9
590.5
598.5
4668
4529
4437
4338
4178
4117
4002
3938
4657
4516
4418
4325
4172
4111
4001
3934
4674
4544
4455
4360
4181
4120
4008
3943
4664
4521
4425
4329
4163
4116
4005
3942
Re (z)
116.57
106.93
106.97
108.06
123.97
215.08
158.45
141.70
106.69
96.62
95.34
95.64
119.64
198.91
153.13
137.90
122.07
117.87
118.54
123.48
127.57
216.68
163.34
148.39
h (z)
2
(W/m -K)
112.12
100.36
98.25
96.60
110.05
197.95
155.51
145.31
Table SC-3178-B.1: Summary of Steam Cooling Data (cont.)
8.03
7.25
7.24
7.30
8.45
16.17
11.09
9.75
7.26
6.48
6.37
6.37
8.10
14.60
10.62
9.42
8.46
8.09
8.11
8.46
8.72
16.30
11.48
10.25
±σhtc
(W/m2-K)
7.66
6.74
6.57
6.43
7.37
14.49
10.80
9.99
6.89%
6.78%
6.76%
6.75%
6.82%
7.52%
7.00%
6.88%
6.81%
6.71%
6.68%
6.66%
6.77%
7.34%
6.94%
6.83%
6.93%
6.86%
6.84%
6.85%
6.83%
7.52%
7.03%
6.90%
Fractional
Uncertainty
6.83%
6.72%
6.68%
6.66%
6.70%
7.32%
6.94%
6.87%
36.28
32.13
31.38
30.86
33.84
57.68
41.06
36.00
33.12
28.93
27.82
27.21
32.61
53.24
39.66
34.99
38.06
35.55
34.94
35.48
34.86
58.16
42.40
37.75
34.87
30.10
28.73
27.51
29.91
53.07
40.33
36.96
Nu(z)
RBHT Steam Cooling Test SC-3178-C
Matrix test # 6
Test date – 3/31/2005
Steady state time window: 28100 - 28500 sec
Inlet flow: 2.26 m3/min (79.9 ft3/min)
Inlet steam temperature: 413 K (284 °F)
Upper plenum pressure: 271.7 kPa (39.4 psia)
Bundle power: 49.9 kW
Outlet steam temperature: 825 K (1026 °F)
Bundle inlet Reynolds number: 8820
Subchannel Centerline Temperatures
The equations below were correlated using the axial subchannel centerline temperature
distribution.
Subchannels D5 and E5 (use for inner 3x3 rod bundle thermocouple locations)
Tcl = -14.71x3 + 93.998x2 - 37.575x + 438.03
Subchannel C5 (use for 5x5 peripheral rod bundle thermocouple locations)
Tcl = -10.559x3 + 70.797x2 - 9.6599x + 429.36
where x is the elevation (m) and Tcl is in (K)
A-111
A-112
A-113
A-114
A-115
A-116
Subchannels D5 and E5 Axial Temperature Profile
y = -14.71x 3 + 93.998x 2 - 37.575x + 438.03
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
2.5
3
3.5
4
3.5
4
Elevation (m)
Subchannel C5 Axial Temperature PRofile
y = -10.559x 3 + 70.797x 2 - 9.6599x + 429.36
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
Elevation (m)
A-117
2.5
3
A-118
Channel
Number
185
186
187
188
189
190
191
192
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
201
202
204
205
208
193
194
195
196
197
198
199
200
H.R.
Location
RodD3_88.3
RodD3_91.3
RodD3_93.1
RodD3_95.3
RodD3_100.1
RodD3_106.1
RodD3_110
RodD3_142.1
RodC4_88.4
RodC4_91.1
RodC4_93.4
RodC4_95.3
RodC4_100.1
RodC4_106.1
RodC4_110
RodC4_142.2
RodD4_88.3
RodD4_91.3
RodD4_93.2
RodD4_95.2
RodD4_100.1
RodD4_106.1
RodD4_110
RodD4_142.1
RodE4_88.4
RodE4_91.2
RodE4_95.3
RodE4_100.9
RodE4_142.3
RodE3_63.4
RodE3_113.6
RodE3_115.5
RodE3_118.5
RodE3_122.7
RodE3_126.5
RodE3_131.7
RodE3_135.6
1.610
2.885
2.934
3.010
3.117
3.213
3.345
3.444
2.245
2.316
2.421
2.563
3.614
2.243
2.319
2.367
2.418
2.543
2.695
2.794
3.609
2.245
2.314
2.372
2.421
2.543
2.695
2.794
3.612
Elevation
(m)
2.243
2.319
2.365
2.421
2.543
2.695
2.794
3.609
0.417
0.022
0.070
0.146
0.253
0.349
-0.046
0.053
-0.003
0.069
0.173
0.315
0.224
-0.005
0.071
0.119
0.170
0.295
0.447
0.546
0.218
-0.003
0.066
0.124
0.173
0.295
0.447
0.546
0.221
Zgrid
(m)
-0.005
0.071
0.117
0.173
0.295
0.447
0.546
0.218
657.0
827.8
842.4
854.6
862.2
862.2
839.6
849.6
716.5
749.6
781.8
808.9
856.7
724.3
758.3
773.7
786.5
809.3
832.1
814.1
865.6
720.5
753.3
768.0
783.3
807.4
833.9
816.5
869.1
H.R. Tw
(K)
718.2
757.0
773.3
789.2
813.2
837.5
822.2
857.0
10970.8
13523.8
13016.0
12217.0
11110.3
10103.6
8736.1
7695.8
13248.7
13501.7
13875.8
14387.6
5471.5
13446.9
13736.7
13914.7
14104.5
14576.9
15148.0
14635.1
5411.6
13497.8
13757.0
13974.9
14160.6
14626.2
15206.9
14723.3
5600.3
H.R. q''
(W/m2)
13345.8
13626.8
13801.4
14005.2
14461.1
15027.5
14840.1
5164.6
559.8
758.8
765.4
775.4
788.6
799.8
813.5
822.7
661.0
672.5
689.2
711.5
835.6
660.6
672.9
680.7
688.8
708.4
731.5
746.0
835.3
661.0
672.1
681.5
689.2
708.4
731.5
746.0
835.4
Tcl
(K)
660.6
672.9
680.3
689.2
708.4
731.5
746.0
835.3
1.20
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.20
1.20
1.20
1.20
1.27
1.20
1.20
1.20
1.20
1.20
1.20
1.27
1.27
1.20
1.20
1.20
1.20
1.20
1.20
1.27
1.27
Correction
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.27
1.27
576.0
773.6
781.9
792.4
804.4
813.1
819.1
828.4
670.3
685.4
704.6
727.7
840.1
671.2
687.2
696.2
705.1
725.2
748.3
760.6
841.8
670.9
685.7
695.9
704.9
724.9
748.6
761.1
842.7
Tbulk
(K)
670.2
686.9
695.8
705.9
725.8
749.2
762.3
839.9
6837
4875
4818
4748
4670
4615
4579
4523
5731
5587
5413
5219
4454
5721
5570
5488
5409
5240
5059
4968
4445
5724
5584
5490
5411
5243
5057
4964
4440
5732
5572
5492
5403
5235
5052
4955
4455
Re (z)
Table SC-3178-C.1: Summary of Steam Cooling Data
135.56
249.56
214.98
196.13
192.10
206.00
427.37
364.12
286.58
210.19
179.92
177.23
330.87
253.23
193.04
179.48
173.19
173.31
180.69
273.26
227.10
272.57
203.40
193.85
180.55
177.14
178.18
265.58
211.63
h (z)
(W/m2-K)
278.31
194.63
178.11
168.14
165.57
170.12
247.70
302.62
6.18
14.72
12.46
11.32
11.19
12.33
35.53
29.66
14.85
9.98
8.28
8.09
31.56
12.53
8.95
8.20
7.86
7.83
8.17
16.12
17.48
13.75
9.51
8.96
8.23
8.01
8.02
15.56
15.42
±σhtc
(W/m2-K)
14.22
9.07
8.16
7.63
7.46
7.66
14.32
28.43
4.56%
5.90%
5.80%
5.77%
5.82%
5.98%
8.31%
8.15%
5.18%
4.75%
4.60%
4.57%
9.54%
4.95%
4.64%
4.57%
4.54%
4.52%
4.52%
5.90%
7.70%
5.04%
4.67%
4.62%
4.56%
4.52%
4.50%
5.86%
7.29%
Fractional
Uncertainty
5.11%
4.66%
4.58%
4.54%
4.51%
4.50%
5.78%
9.39%
36.24
43.72
37.09
33.19
31.81
33.58
68.93
57.78
61.77
43.87
36.08
33.92
51.45
54.47
40.14
36.63
34.70
33.34
33.22
49.07
35.21
58.67
42.43
39.58
36.19
34.10
32.74
47.64
32.76
60.00
40.49
36.38
33.64
31.81
31.22
44.33
47.07
Nu(z)
A-119
Channel
Number
225
226
227
229
230
231
232
209
210
211
212
213
214
215
216
177
178
179
180
181
182
183
217
218
219
220
221
222
223
224
H.R.
Location
RodC5_63.7
RodC5_113.6
RodC5_115.7
RodC5_122.7
RodC5_126.7
RodC5_131.6
RodC5_135.7
RodE5_63.6
RodE5_113.6
RodE5_115.4
RodE5_118.7
RodE5_122.6
RodE5_126.6
RodE5_131.6
RodE5_135.6
RodC3_79.8
RodC3_85.6
RodC3_88.5
RodC3_92.4
RodC3_94.4
RodC3_97.2
RodC3_108.8
RodD5_50
RodD5_54.1
RodD5_56.9
RodD5_60
RodD5_66.1
RodD5_69.9
RodD5_72.9
RodD5_74.9
1.270
1.374
1.445
1.524
1.679
1.775
1.852
1.902
2.027
2.174
2.248
2.347
2.398
2.469
2.764
1.615
2.885
2.931
3.015
3.114
3.216
3.343
3.444
Elevation
(m)
1.618
2.885
2.939
3.117
3.218
3.343
3.447
0.076
0.180
0.251
0.330
0.485
-0.025
0.051
0.102
0.227
0.374
0.000
0.099
0.150
0.221
0.516
0.422
0.022
0.067
0.151
0.250
0.352
-0.048
0.053
Zgrid
(m)
0.424
0.022
0.075
0.253
0.354
-0.048
0.056
598.0
623.3
637.0
647.2
661.8
638.5
674.1
692.5
701.7
709.2
715.8
758.3
767.8
790.2
830.7
650.3
819.9
830.9
839.3
848.0
850.8
831.1
845.5
H.R. Tw
(K)
656.9
824.0
842.4
864.6
865.2
842.7
855.4
9741.7
10124.6
10390.0
10683.7
11249.5
11605.4
11884.8
12070.0
12478.8
13020.3
13293.6
13654.1
13841.9
14102.6
14869.3
11031.9
13603.5
13131.8
12277.5
11257.4
10214.7
8918.9
7870.4
H.R. q''
(W/m2)
10761.9
13188.5
12656.2
10895.3
9891.2
8664.1
7628.6
511.8
525.7
535.7
547.0
570.3
585.3
597.3
605.5
625.6
649.5
661.5
677.4
685.6
696.8
741.6
560.6
758.8
765.0
776.0
788.3
800.0
813.3
822.7
Tcl
(K)
561.0
758.8
766.1
788.6
800.3
813.3
822.9
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.27
1.20
1.27
1.27
1.27
1.27
1.27
1.27
1.27
Correction
Factor
1.20
1.27
1.27
1.27
1.27
1.27
1.27
526.2
542.0
552.6
563.7
585.5
594.2
610.1
620.0
638.2
659.4
670.5
690.9
699.3
712.4
760.7
575.6
771.9
779.1
789.6
801.1
810.9
817.1
827.5
Tbulk
(K)
577.0
772.8
782.4
804.9
814.2
819.6
829.9
7613
7349
7182
7014
6707
6592
6390
6272
6064
5839
5729
5536
5460
5347
4967
6844
4887
4837
4766
4691
4629
4591
4528
6824
4881
4815
4667
4609
4576
4514
Re (z)
Table SC-3178-C.1: Summary of Steam Cooling Data (cont.)
135.55
124.49
123.00
127.93
147.59
261.69
185.78
166.44
196.63
261.57
293.40
202.56
202.04
181.36
212.40
147.64
283.27
253.62
247.15
239.96
255.97
636.75
438.50
h (z)
(W/m2-K)
134.69
257.37
210.99
182.39
193.98
374.62
298.14
6.27
5.65
5.56
5.79
6.78
13.65
8.81
7.71
9.35
13.23
15.29
9.52
9.47
8.32
12.10
6.80
17.06
15.05
14.76
14.48
16.03
68.16
39.40
±σhtc
(W/m2-K)
6.20
15.40
12.31
10.62
11.56
29.11
21.99
4.63%
4.54%
4.52%
4.53%
4.60%
5.21%
4.74%
4.63%
4.76%
5.06%
5.21%
4.70%
4.69%
4.59%
5.70%
4.61%
6.02%
5.93%
5.97%
6.03%
6.26%
10.71%
8.98%
Fractional
Uncertainty
4.60%
5.98%
5.83%
5.82%
5.96%
7.77%
7.38%
41.00
36.19
34.83
35.24
38.56
66.98
45.80
40.12
45.47
57.72
63.21
41.79
40.97
35.80
38.13
39.51
49.79
43.98
42.04
39.97
41.89
103.06
69.68
35.92
45.16
36.36
30.17
31.56
60.37
47.19
Nu(z)
A-120
Channel
Number
153
154
155
156
157
158
159
160
105
106
107
108
109
110
111
112
57
58
59
60
61
62
63
64
137
138
139
140
141
142
143
144
H.R.
Location
RodB5_41
RodB5_52.9
RodB5_55
RodB5_57.8
RodB5_64
RodB5_73.9
RodB5_75.9
RodB5_76.9
RodF5_41
RodF5_53.1
RodF5_55
RodF5_57.8
RodF5_64
RodF5_73.8
RodF5_75.8
RodF5_76.8
RodC2_41
RodC2_53.1
RodC2_55
RodC2_57.8
RodC2_63.9
RodC2_73.8
RodC2_75.8
RodC2_76.8
RodC6_40.9
RodC6_52.8
RodC6_54.8
RodC6_57.8
RodC6_63.8
RodC6_73.7
RodC6_75.8
RodC6_76.8
1.039
1.341
1.392
1.468
1.621
1.872
1.925
1.951
1.041
1.349
1.397
1.468
1.623
1.875
1.925
1.951
1.041
1.349
1.397
1.468
1.626
1.875
1.925
1.951
Elevation
(m)
1.041
1.344
1.397
1.468
1.626
1.877
1.928
1.953
0.340
0.147
0.198
0.274
0.427
0.072
0.125
0.150
0.343
0.155
0.203
0.274
0.429
0.074
0.125
0.150
0.343
0.155
0.203
0.274
0.432
0.074
0.125
0.150
Zgrid
(m)
0.343
0.150
0.203
0.274
0.432
0.077
0.128
0.153
573.4
616.6
626.6
639.9
656.2
682.5
694.6
701.7
568.2
612.9
621.0
632.9
646.2
669.5
682.8
688.1
568.2
607.8
616.8
627.3
642.6
665.7
680.1
685.7
H.R. Tw
(K)
575.1
616.2
625.3
637.5
652.4
680.4
695.6
701.9
8801.2
9974.6
10172.1
10469.0
11060.2
12035.4
12243.3
12340.5
8839.0
9982.6
10162.3
10428.9
11003.2
11936.5
12129.8
12220.8
8805.2
9948.1
10126.8
10392.3
10978.4
11902.5
12092.8
12186.3
H.R. q''
2
(W/m )
8863.1
9983.7
10179.8
10444.4
11030.4
11966.0
12155.7
12250.2
483.9
518.3
524.6
534.4
554.7
590.1
597.8
601.5
484.2
519.2
525.2
534.4
555.0
590.5
597.8
601.5
484.2
519.2
525.2
534.4
555.4
590.5
597.8
601.5
Tcl
(K)
484.2
518.6
525.2
534.4
555.4
590.8
598.2
601.9
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
498.8
534.7
541.6
552.0
571.6
605.5
614.0
618.2
498.2
534.8
541.2
550.8
570.2
603.6
612.0
616.0
498.2
534.0
540.5
549.8
569.9
603.0
611.6
615.6
Tbulk
(K)
499.3
534.8
541.9
551.5
571.6
605.8
614.4
618.6
8115
7469
7355
7191
6900
6448
6344
6293
8128
7466
7362
7210
6919
6471
6368
6320
8128
7480
7373
7224
6924
6479
6373
6324
8105
7466
7350
7198
6900
6444
6338
6289
Re (z)
Table SC-3178-C.1: Summary of Steam Cooling Data (cont.)
117.95
121.73
119.69
118.98
130.74
156.34
151.80
147.89
126.24
127.80
127.30
126.99
144.86
181.35
171.28
169.39
125.73
134.75
132.67
134.24
151.11
189.88
176.30
173.68
h (z)
(W/m2-K)
116.91
122.79
122.14
121.55
136.41
160.25
149.76
146.95
5.44
5.53
5.41
5.35
5.92
7.16
6.90
6.69
5.88
5.85
5.81
5.77
6.65
8.56
7.97
7.86
5.86
6.22
6.10
6.16
6.99
9.06
8.26
8.11
±σhtc
(W/m2-K)
5.37
5.58
5.54
5.49
6.22
7.39
6.82
6.67
4.61%
4.54%
4.52%
4.50%
4.53%
4.58%
4.55%
4.53%
4.66%
4.57%
4.56%
4.54%
4.59%
4.72%
4.66%
4.64%
4.66%
4.62%
4.60%
4.59%
4.63%
4.77%
4.69%
4.67%
Fractional
Uncertainty
4.59%
4.55%
4.53%
4.51%
4.56%
4.61%
4.56%
4.54%
38.25
36.04
34.82
33.74
35.33
38.96
37.10
35.79
41.01
37.82
37.08
36.11
39.27
45.40
42.05
41.20
40.84
39.96
38.71
38.26
41.00
47.60
43.33
42.29
37.87
36.34
35.51
34.50
36.86
39.91
36.56
35.53
Nu(z)
A-121
Channel
Number
161
162
163
164
165
166
167
168
98
99
100
101
102
103
104
65
66
67
68
69
70
71
72
129
130
131
132
133
134
135
136
H.R.
Location
RodB4_88.4
RodB4_91.3
RodB4_93.3
RodB4_95.1
RodB4_100
RodB4_106
RodB4_109.9
RodB4_142.3
RodF4_85.6
RodF4_88.4
RodF4_92.4
RodF4_94.3
RodF4_97.2
RodF4_108.8
RodF4_111
RodD2_103.2
RodD2_106
RodD2_112.6
RodD2_114.9
RodD2_117.4
RodD2_120.8
RodD2_124.8
RodD2_128.6
RodD6_103.1
RodD6_106
RodD6_112.9
RodD6_114.9
RodD6_116.8
RodD6_120.9
RodD6_124.8
RodD6_128.7
2.619
2.692
2.868
2.918
2.967
3.071
3.170
3.269
2.621
2.692
2.860
2.918
2.982
3.068
3.170
3.266
2.174
2.245
2.347
2.395
2.469
2.764
2.819
Elevation
(m)
2.245
2.319
2.370
2.416
2.540
2.692
2.791
3.614
0.371
0.445
0.004
0.055
0.103
0.207
0.306
0.405
0.373
0.445
-0.004
0.055
0.118
0.204
0.306
0.403
0.374
-0.003
0.099
0.147
0.221
0.516
-0.044
Zgrid
(m)
-0.003
0.071
0.122
0.168
0.292
0.445
0.544
0.224
804.2
810.9
800.2
819.6
830.3
839.1
842.4
842.1
807.0
815.1
802.2
822.9
832.2
843.4
846.8
845.5
705.3
708.9
751.5
766.4
784.5
811.2
794.8
H.R. Tw
(K)
714.9
750.2
763.1
776.7
800.0
824.4
805.5
863.5
14811.6
15084.2
13770.0
13194.8
12659.4
11502.8
10403.9
9309.7
14784.8
15051.6
13805.3
13169.3
12466.4
11513.9
10400.8
9342.5
13066.4
13327.4
13698.5
13876.9
14147.8
14941.5
14338.5
H.R. q''
(W/m2)
13239.3
13503.1
13686.2
13850.5
14300.8
14847.4
14377.2
5562.6
699.9
710.5
734.8
741.7
748.1
761.5
773.8
785.5
700.3
710.5
733.8
741.7
750.1
761.2
773.8
785.2
634.5
645.1
660.1
667.3
678.1
720.5
728.2
Tcl
(K)
645.1
656.0
663.5
670.3
688.5
710.5
724.4
820.7
1.20
1.20
1.20
1.20
1.27
1.27
1.27
1.27
1.20
1.20
1.20
1.20
1.27
1.27
1.27
1.27
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.27
717.3
727.2
745.7
754.7
765.7
778.1
788.5
797.6
718.1
727.9
745.2
755.2
767.7
778.8
789.4
798.1
646.3
655.7
675.4
683.8
695.9
735.6
739.3
Tbulk
(K)
656.7
671.7
680.1
688.0
707.1
729.5
737.9
829.9
5305
5224
5078
5011
4931
4844
4774
4714
5299
5218
5082
5007
4917
4839
4767
4711
5976
5878
5681
5601
5491
5157
5128
5867
5717
5636
5562
5392
5206
5139
4514
Re (z)
Table SC-3178-C.1: Summary of Steam Cooling Data (cont.)
170.43
180.16
252.89
203.30
195.85
188.75
192.98
209.07
166.28
172.58
242.34
194.57
193.18
178.18
181.30
197.22
221.51
250.49
179.95
167.99
159.57
197.60
258.46
h (z)
(W/m2-K)
227.65
172.11
165.00
156.23
154.00
156.35
212.60
165.56
7.68
8.15
12.46
9.62
11.26
10.93
11.39
12.81
7.47
7.78
11.81
9.13
11.11
10.25
10.60
11.93
10.70
12.42
8.28
7.63
7.19
9.09
12.66
±σhtc
(W/m2-K)
11.05
7.90
7.51
7.05
6.92
7.01
10.02
10.97
4.50%
4.53%
4.93%
4.73%
5.75%
5.79%
5.90%
6.13%
4.50%
4.51%
4.87%
4.69%
5.75%
5.75%
5.84%
6.05%
4.83%
4.96%
4.60%
4.54%
4.50%
4.60%
4.90%
Fractional
Uncertainty
4.86%
4.59%
4.55%
4.52%
4.49%
4.48%
4.71%
6.63%
33.31
34.52
46.72
36.92
34.83
32.79
32.89
35.04
32.45
33.02
44.82
35.30
34.22
30.92
30.85
33.03
50.31
55.72
38.37
35.18
32.59
37.24
48.35
50.54
36.99
34.83
32.43
30.73
29.82
39.89
26.20
Nu(z)
A-122
Channel
Number
73
74
75
76
77
78
79
80
169
170
171
172
173
174
175
176
89
90
91
92
93
94
95
96
121
122
123
124
125
127
128
H.R.
Location
RodE2_50.1
RodE2_54
RodE2_56.9
RodE2_59.9
RodE2_66
RodE2_69.8
RodE2_72.9
RodE2_74.9
RodB3_50.2
RodB3_54.1
RodB3_56.9
RodB3_60.1
RodB3_66.1
RodB3_69.9
RodB3_73
RodB3_75
RodF3_50.1
RodF3_54
RodF3_57
RodF3_60
RodF3_66.1
RodF3_70
RodF3_73
RodF3_75
RodE6_50.2
RodE6_54.1
RodE6_57
RodE6_60.2
RodE6_66.1
RodE6_73.1
RodE6_75
1.275
1.374
1.448
1.529
1.679
1.857
1.905
1.273
1.372
1.448
1.524
1.679
1.778
1.854
1.905
1.275
1.374
1.445
1.527
1.679
1.775
1.854
1.905
Elevation
(m)
1.273
1.372
1.445
1.521
1.676
1.773
1.852
1.902
0.081
0.180
0.254
0.335
0.485
0.056
0.105
0.079
0.178
0.254
0.330
0.485
-0.022
0.054
0.105
0.081
0.180
0.251
0.333
0.485
-0.025
0.054
0.105
Zgrid
(m)
0.079
0.178
0.251
0.328
0.483
-0.027
0.051
0.102
591.0
612.9
624.8
634.6
649.2
663.4
679.8
594.0
616.0
627.9
637.0
643.9
629.5
663.1
680.5
588.8
605.0
615.8
622.3
647.3
627.2
660.7
677.2
H.R. Tw
(K)
590.7
615.1
629.2
641.5
652.7
628.0
661.1
675.5
9712.8
10080.9
10352.8
10654.1
11203.3
11858.0
12031.4
9719.9
10093.2
10386.1
10675.4
11265.4
11645.0
11932.2
12127.1
9717.4
10086.9
10348.8
10656.0
11221.5
11583.2
11873.1
12061.1
H.R. q''
(W/m2)
9773.6
10145.3
10420.6
10709.7
11292.3
11656.8
11951.0
12142.0
510.3
522.4
531.7
542.4
562.7
587.9
594.9
510.0
522.1
531.7
541.7
562.7
576.6
587.5
594.9
510.3
522.4
531.4
542.0
562.7
576.3
587.5
594.9
Tcl
(K)
510.0
522.1
531.4
541.4
562.4
575.9
587.2
594.5
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
524.9
538.5
548.1
558.3
577.3
600.0
608.4
524.0
537.7
547.8
557.6
576.3
585.5
600.1
609.2
523.4
536.1
545.5
555.4
576.8
584.8
599.7
608.6
Tbulk
(K)
523.4
537.6
547.7
558.0
577.4
584.6
599.5
608.0
7634
7406
7252
7094
6820
6517
6411
7651
7418
7257
7105
6834
6708
6515
6402
7662
7444
7293
7139
6826
6717
6520
6409
7661
7421
7258
7099
6817
6719
6523
6417
Re (z)
Table SC-3178-C.1: Summary of Steam Cooling Data (cont.)
146.95
135.46
134.97
139.67
155.68
187.12
168.66
138.80
128.86
129.64
134.35
166.59
264.28
189.44
169.96
148.46
146.53
147.21
159.37
159.22
273.25
194.63
175.74
h (z)
(W/m2-K)
145.20
130.90
127.81
128.39
150.02
268.59
194.07
179.98
6.76
6.14
6.11
6.35
7.22
8.98
7.93
6.46
5.89
5.90
6.12
7.79
13.80
9.01
7.89
6.99
6.84
6.84
7.48
7.40
14.49
9.33
8.23
±σhtc
(W/m2-K)
6.79
5.98
5.80
5.80
6.90
14.09
9.27
8.43
4.60%
4.54%
4.53%
4.55%
4.64%
4.80%
4.70%
4.65%
4.57%
4.55%
4.56%
4.67%
5.22%
4.75%
4.64%
4.71%
4.67%
4.65%
4.69%
4.65%
5.30%
4.79%
4.68%
Fractional
Uncertainty
4.68%
4.57%
4.54%
4.52%
4.60%
5.25%
4.77%
4.69%
44.58
39.71
38.63
38.98
41.49
47.23
41.74
42.22
37.86
37.14
37.57
44.51
69.06
47.81
42.00
45.23
43.22
42.42
44.80
42.48
71.53
49.17
43.48
44.23
38.47
36.62
35.86
39.97
70.33
49.05
44.59
Nu(z)
RBHT Steam Cooling Test SC-3180-A
Matrix test # 13
Test date – 4/6/2005
Steady state time window: 12840 - 13800 sec
Inlet flow: 0.35 m3/min (12.2 ft3/min)
Inlet steam temperature: 420 K (297 °F)
Upper plenum pressure: 409.5 kPa (59.4 psia)
Bundle power: 14.0 kW
Outlet steam temperature: 800 K (981 °F)
Bundle inlet Reynolds number: 1991
Subchannel Centerline Temperatures
The equations below were correlated using the axial subchannel centerline temperature
distribution.
Subchannels D5 and E5 (use for inner 3x3 rod bundle thermocouple locations)
Tcl = -16.039x3 + 96.018x2 - 36.677x + 442.13
Subchannel C5 (use for 5x5 peripheral rod bundle thermocouple locations)
Tcl = -8.8333x3 + 55.056x2 + 20.513x + 423.98
where x is the elevation (m) and Tcl is in (K)
A-123
A-124
A-125
A-126
A-127
A-128
Subchannels D5 and E5 Axial Temperature Profile
y = -16.039x 3 + 96.018x 2 - 36.677x + 442.13
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
2.5
3
3.5
4
3.5
4
Elevation (m)
Subchannel C5 Axial Temperature Profile
y = -8.8333x 3 + 55.056x 2 + 20.513x + 423.98
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
Elevation (m)
A-129
2.5
3
A-130
Channel
Number
185
186
187
188
189
190
191
192
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
201
202
204
205
208
193
194
195
196
197
198
199
200
H.R.
Location
RodD3_88.3
RodD3_91.3
RodD3_93.1
RodD3_95.3
RodD3_100.1
RodD3_106.1
RodD3_110
RodD3_142.1
RodC4_88.4
RodC4_91.1
RodC4_93.4
RodC4_95.3
RodC4_100.1
RodC4_106.1
RodC4_110
RodC4_142.2
RodD4_88.3
RodD4_91.3
RodD4_93.2
RodD4_95.2
RodD4_100.1
RodD4_106.1
RodD4_110
RodD4_142.1
RodE4_88.4
RodE4_91.2
RodE4_95.3
RodE4_100.9
RodE4_142.3
RodE3_63.4
RodE3_113.6
RodE3_115.5
RodE3_118.5
RodE3_122.7
RodE3_126.5
RodE3_131.7
RodE3_135.6
1.610
2.885
2.934
3.010
3.117
3.213
3.345
3.444
2.245
2.316
2.421
2.563
3.614
2.243
2.319
2.367
2.418
2.543
2.695
2.794
3.609
2.245
2.314
2.372
2.421
2.543
2.695
2.794
3.612
Elevation
(m)
2.243
2.319
2.365
2.421
2.543
2.695
2.794
3.609
0.417
0.022
0.070
0.146
0.253
0.349
-0.046
0.053
-0.003
0.069
0.173
0.315
0.224
-0.005
0.071
0.119
0.170
0.295
0.447
0.546
0.218
-0.003
0.066
0.124
0.173
0.295
0.447
0.546
0.221
Zgrid
(m)
-0.005
0.071
0.117
0.173
0.295
0.447
0.546
0.218
612.2
779.7
786.6
794.7
801.4
804.4
806.2
807.8
687.8
702.7
725.1
747.3
814.1
695.1
710.5
721.5
732.6
755.7
770.6
774.2
819.4
693.3
708.7
721.1
732.3
754.7
769.8
772.2
819.1
H.R.Tw
(K)
685.8
704.2
716.3
730.1
752.0
768.1
772.2
813.6
3071.5
3780.2
3638.6
3415.6
3104.0
2821.7
2435.3
2144.2
3703.9
3775.5
3878.9
4021.9
1518.7
3758.0
3837.2
3887.9
3940.8
4069.6
4229.2
4084.2
1501.2
3775.4
3848.0
3909.4
3960.5
4088.1
4249.4
4112.0
1556.3
H.R. q''
(W/m2)
3731.8
3811.0
3858.3
3916.4
4041.8
4200.1
4147.4
1434.3
565.1
750.4
755.9
764.3
774.9
783.5
793.5
799.5
662.3
673.0
688.5
708.8
806.6
661.9
673.4
680.6
688.1
706.0
726.7
739.4
806.5
662.3
672.7
681.4
688.5
706.0
726.7
739.4
806.5
Tcl
(K)
661.9
673.4
680.2
688.5
706.0
726.7
739.4
806.5
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Correction
Factor
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
580.8
760.2
766.2
774.4
783.7
790.5
797.7
802.3
670.8
682.9
700.7
721.6
809.1
673.0
685.8
694.2
702.9
722.5
741.3
751.0
810.8
672.6
684.7
694.6
703.1
722.2
741.1
750.3
810.7
Tbulk
(K)
669.9
683.7
692.3
702.3
721.3
740.5
750.3
808.8
1553
1139
1129
1116
1101
1091
1080
1073
1313
1286
1249
1208
1063
1308
1280
1262
1244
1206
1172
1155
1061
1308
1282
1261
1244
1207
1172
1156
1061
1315
1284
1266
1245
1208
1173
1156
1064
Re (z)
Table SC-3180-A.1: Summary of Steam Cooling Data
97.69
193.34
178.08
168.41
176.08
202.59
288.74
386.48
218.09
191.19
158.91
156.70
303.48
169.78
155.26
142.62
132.85
122.77
144.70
175.76
173.49
182.89
160.00
147.52
135.48
125.89
147.96
188.11
185.73
h (z)
(W/m2-K)
234.53
185.77
160.26
141.21
131.63
152.31
189.60
300.67
11.67
24.69
22.53
21.30
22.87
28.02
49.83
88.18
28.78
24.42
19.63
19.24
75.60
21.08
18.97
17.21
15.89
14.55
17.33
21.73
30.10
22.93
19.57
17.82
16.19
14.90
17.71
23.39
32.41
±σhtc
(W/m2-K)
31.34
23.45
19.72
17.08
15.76
18.43
23.46
78.54
11.95%
12.77%
12.65%
12.65%
12.99%
13.83%
17.26%
22.82%
13.19%
12.77%
12.35%
12.28%
24.91%
12.41%
12.22%
12.07%
11.96%
11.85%
11.98%
12.36%
17.35%
12.54%
12.23%
12.08%
11.95%
11.84%
11.97%
12.43%
17.45%
Fractional
Uncertainty
13.36%
12.62%
12.31%
12.09%
11.97%
12.10%
12.37%
26.12%
25.69
34.69
31.59
29.42
30.23
34.36
48.32
64.15
46.85
40.03
32.07
30.31
49.76
36.30
32.31
29.16
26.68
23.70
26.92
32.10
28.36
39.13
33.37
30.14
27.20
24.32
27.54
34.40
30.37
50.48
38.83
32.90
28.40
25.47
28.38
34.67
49.33
Nu(z)
A-131
Channel
Number
225
226
227
229
230
231
232
209
210
211
212
213
214
215
216
177
178
179
180
181
182
183
217
218
219
220
221
222
223
224
H.R.
Location
RodC5_63.7
RodC5_113.6
RodC5_115.7
RodC5_122.7
RodC5_126.7
RodC5_131.6
RodC5_135.7
RodE5_63.6
RodE5_113.6
RodE5_115.4
RodE5_118.7
RodE5_122.6
RodE5_126.6
RodE5_131.6
RodE5_135.6
RodC3_79.8
RodC3_85.6
RodC3_88.5
RodC3_92.4
RodC3_94.4
RodC3_97.2
RodC3_108.8
RodD5_50
RodD5_54.1
RodD5_56.9
RodD5_60
RodD5_66.1
RodD5_69.9
RodD5_72.9
RodD5_74.9
1.270
1.374
1.445
1.524
1.679
1.775
1.852
1.902
2.027
2.174
2.248
2.347
2.398
2.469
2.764
1.615
2.885
2.931
3.015
3.114
3.216
3.343
3.444
Elevation
(m)
1.618
2.885
2.939
3.117
3.218
3.343
3.447
0.076
0.180
0.251
0.330
0.485
-0.025
0.051
0.102
0.227
0.374
0.000
0.099
0.150
0.221
0.516
0.422
0.022
0.067
0.151
0.250
0.352
-0.048
0.053
Zgrid
(m)
0.424
0.022
0.075
0.253
0.354
-0.048
0.056
565.2
583.6
594.1
605.0
621.8
621.7
637.6
648.8
665.6
677.1
685.7
708.0
719.7
734.2
769.4
610.0
772.9
780.3
788.6
795.2
799.2
802.4
805.1
H.R.Tw
(K)
618.0
778.4
786.8
802.4
806.3
808.2
812.4
2726.1
2832.9
2905.9
2987.1
3145.9
3245.2
3323.8
3376.4
3491.0
3641.9
3717.7
3818.3
3871.0
3943.9
4156.0
3085.0
3799.6
3669.3
3427.4
3142.1
2850.0
2484.8
2191.7
H.R. q''
(W/m2)
3011.3
3683.4
3536.4
3042.0
2759.9
2414.9
2125.3
517.6
531.4
541.3
552.5
575.3
589.9
601.6
609.4
628.7
651.4
662.7
677.6
685.1
695.5
735.6
565.8
750.4
755.7
764.8
774.7
783.7
793.3
799.5
Tcl
(K)
566.2
750.4
756.5
774.9
783.9
793.3
799.7
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Correction
Factor
1.50
1.50
1.50
1.50
1.50
1.50
1.50
533.4
548.8
558.9
570.0
590.8
600.5
613.6
622.6
641.0
660.0
670.3
687.7
696.6
708.4
746.8
580.6
757.9
763.9
772.7
781.5
788.9
796.4
801.4
Tbulk
(K)
583.5
759.7
766.6
784.1
791.4
798.3
803.9
1719
1661
1626
1588
1522
1493
1456
1431
1383
1337
1314
1276
1257
1233
1162
1554
1143
1133
1119
1105
1093
1082
1075
1544
1140
1129
1101
1090
1079
1071
Re (z)
85.89
81.47
82.43
85.25
101.54
153.05
138.37
128.65
141.87
212.74
242.60
188.51
168.10
152.73
184.48
104.69
253.49
222.99
215.61
230.01
276.49
410.07
585.94
h (z)
(W/m2-K)
87.15
197.19
175.02
165.87
185.19
243.55
251.10
Table SC-3180-A.1: Summary of Steam Cooling Data (cont.)
10.24
9.65
9.76
10.09
12.14
19.17
17.01
15.67
17.46
27.97
32.84
23.93
20.88
18.68
22.98
12.56
34.43
29.49
28.70
31.96
42.92
87.52
184.50
±σhtc
(W/m2-K)
10.48
25.77
22.49
21.57
25.27
38.71
43.20
11.92%
11.84%
11.83%
11.84%
11.95%
12.52%
12.29%
12.18%
12.31%
13.15%
13.53%
12.69%
12.42%
12.23%
12.46%
12.00%
13.58%
13.22%
13.31%
13.90%
15.52%
21.34%
31.49%
Fractional
Uncertainty
12.03%
13.07%
12.85%
13.01%
13.64%
15.89%
17.20%
25.30
23.12
22.84
23.00
26.08
38.44
33.72
30.72
32.51
46.77
52.16
39.07
34.20
30.34
33.96
27.55
45.68
39.73
37.78
39.65
47.03
68.80
97.42
22.77
35.41
31.02
28.46
31.35
40.72
41.56
Nu(z)
A-132
Channel
Number
153
154
155
156
157
158
159
160
105
106
107
108
109
110
111
112
57
58
59
60
61
62
63
64
137
138
139
140
141
142
143
144
H.R.
Location
RodB5_41
RodB5_52.9
RodB5_55
RodB5_57.8
RodB5_64
RodB5_73.9
RodB5_75.9
RodB5_76.9
RodF5_41
RodF5_53.1
RodF5_55
RodF5_57.8
RodF5_64
RodF5_73.8
RodF5_75.8
RodF5_76.8
RodC2_41
RodC2_53.1
RodC2_55
RodC2_57.8
RodC2_63.9
RodC2_73.8
RodC2_75.8
RodC2_76.8
RodC6_40.9
RodC6_52.8
RodC6_54.8
RodC6_57.8
RodC6_63.8
RodC6_73.7
RodC6_75.8
RodC6_76.8
1.039
1.341
1.392
1.468
1.621
1.872
1.925
1.951
1.041
1.349
1.397
1.468
1.623
1.875
1.925
1.951
1.041
1.349
1.397
1.468
1.626
1.875
1.925
1.951
Elevation
(m)
1.041
1.344
1.397
1.468
1.626
1.877
1.928
1.953
0.340
0.147
0.198
0.274
0.427
0.072
0.125
0.150
0.343
0.155
0.203
0.274
0.429
0.074
0.125
0.150
0.343
0.155
0.203
0.274
0.432
0.074
0.125
0.150
Zgrid
(m)
0.343
0.150
0.203
0.274
0.432
0.077
0.128
0.153
545.8
579.0
586.8
596.5
613.9
640.3
649.2
653.9
542.2
572.6
579.1
588.8
605.7
626.5
635.2
638.9
541.0
572.2
580.3
590.1
606.8
628.4
638.6
643.0
H.R.Tw
(K)
545.7
578.8
585.5
595.5
613.0
638.9
649.1
653.2
2463.0
2791.5
2845.8
2928.7
3093.5
3366.6
3424.4
3451.4
2474.6
2795.6
2845.9
2919.6
3080.2
3342.3
3395.4
3421.9
2463.5
2783.3
2833.4
2907.4
3070.8
3329.7
3382.4
3408.7
H.R. q''
2
(W/m )
2479.6
2795.0
2850.6
2924.4
3087.6
3348.8
3401.0
3427.0
494.8
529.2
535.4
544.8
564.2
597.4
604.5
607.9
495.1
530.1
536.0
544.8
564.5
597.7
604.5
607.9
495.1
530.1
536.0
544.8
564.9
597.7
604.5
607.9
Tcl
(K)
495.1
529.5
536.0
544.8
564.9
598.0
604.9
608.3
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Correction
Factor
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
511.8
545.8
552.5
562.0
580.8
611.7
619.4
623.3
510.8
544.3
550.4
559.5
578.3
607.3
614.8
618.3
510.4
544.2
550.8
559.9
578.8
607.9
615.9
619.6
Tbulk
(K)
511.9
546.0
552.5
561.7
580.9
611.7
619.6
623.3
1807
1672
1648
1615
1553
1461
1440
1429
1811
1678
1656
1624
1561
1473
1452
1443
1813
1678
1654
1622
1559
1472
1449
1439
1806
1672
1648
1616
1553
1461
1439
1429
Re (z)
72.46
84.16
83.01
84.95
93.35
117.55
114.95
112.54
78.77
98.82
99.12
99.63
112.20
174.34
165.80
165.55
80.51
99.12
95.88
96.38
109.87
162.62
149.00
145.93
h (z)
(W/m2-K)
73.53
84.99
86.41
86.61
96.25
122.99
115.34
114.35
Table SC-3180-A.1: Summary of Steam Cooling Data (cont.)
8.65
10.02
9.85
10.07
11.08
14.10
13.75
13.43
9.44
11.94
11.96
11.99
13.59
22.25
20.90
20.84
9.69
12.02
11.56
11.60
13.31
20.55
18.51
18.06
±σhtc
(W/m2-K)
8.75
10.12
10.29
10.29
11.48
14.89
13.88
13.74
11.93%
11.90%
11.87%
11.85%
11.87%
12.00%
11.97%
11.93%
11.98%
12.08%
12.06%
12.04%
12.11%
12.76%
12.61%
12.59%
12.04%
12.12%
12.06%
12.03%
12.12%
12.64%
12.43%
12.37%
Fractional
Uncertainty
11.90%
11.91%
11.91%
11.88%
11.93%
12.11%
12.03%
12.01%
22.50
24.06
23.35
23.36
24.55
28.77
27.64
26.83
24.52
28.36
28.03
27.57
29.68
43.10
40.30
39.92
25.09
28.45
27.09
26.64
29.03
40.15
36.12
35.08
22.83
24.29
24.31
23.83
25.30
30.11
27.73
27.26
Nu(z)
A-133
Channel
Number
161
162
163
164
165
166
167
168
98
99
100
101
102
103
104
65
66
67
68
69
70
71
72
129
130
131
132
133
134
135
136
H.R.
Location
RodB4_88.4
RodB4_91.3
RodB4_93.3
RodB4_95.1
RodB4_100
RodB4_106
RodB4_109.9
RodB4_142.3
RodF4_85.6
RodF4_88.4
RodF4_92.4
RodF4_94.3
RodF4_97.2
RodF4_108.8
RodF4_111
RodD2_103.2
RodD2_106
RodD2_112.6
RodD2_114.9
RodD2_117.4
RodD2_120.8
RodD2_124.8
RodD2_128.6
RodD6_103.1
RodD6_106
RodD6_112.9
RodD6_114.9
RodD6_116.8
RodD6_120.9
RodD6_124.8
RodD6_128.7
2.619
2.692
2.868
2.918
2.967
3.071
3.170
3.269
2.621
2.692
2.860
2.918
2.982
3.068
3.170
3.266
2.174
2.245
2.347
2.395
2.469
2.764
2.819
Elevation
(m)
2.245
2.319
2.370
2.416
2.540
2.692
2.791
3.614
0.371
0.445
0.004
0.055
0.103
0.207
0.306
0.405
0.373
0.445
-0.004
0.055
0.118
0.204
0.306
0.403
0.374
-0.003
0.099
0.147
0.221
0.516
-0.044
Zgrid
(m)
-0.003
0.071
0.122
0.168
0.292
0.445
0.544
0.224
738.2
746.7
763.0
770.4
775.8
782.5
785.9
790.2
733.9
743.2
759.1
769.0
775.1
783.3
789.2
792.8
670.6
675.2
698.8
709.8
724.6
760.5
764.7
H.R.Tw
(K)
684.5
702.7
712.3
720.6
738.1
757.3
761.6
807.7
4136.7
4212.2
3843.4
3686.8
3536.1
3209.8
2901.1
2592.9
4131.0
4205.2
3857.0
3677.5
3482.1
3216.3
2902.6
2606.1
3655.1
3728.5
3832.7
3882.2
3956.6
4176.1
4005.4
H.R. q''
2
(W/m )
3701.9
3775.8
3826.4
3872.5
3996.8
4149.1
4016.3
1544.0
696.6
705.9
727.2
733.2
738.8
750.4
760.9
770.8
696.9
705.9
726.3
733.2
740.5
750.1
760.9
770.6
638.1
647.6
661.2
667.6
677.3
714.7
721.5
Tcl
(K)
647.6
657.5
664.2
670.3
686.5
705.9
718.1
800.3
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Correction
Factor
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
710.5
719.5
739.2
745.6
751.1
761.1
769.2
777.3
709.3
718.4
737.3
745.1
752.0
761.2
770.3
778.0
648.9
656.8
673.7
681.7
693.0
730.0
735.9
Tbulk
(K)
659.9
672.5
680.3
687.1
703.7
723.0
732.6
802.7
1229
1212
1175
1164
1155
1138
1124
1111
1232
1214
1179
1165
1153
1138
1123
1110
1364
1345
1306
1289
1264
1192
1181
1338
1309
1292
1277
1243
1205
1187
1073
Re (z)
149.34
154.87
161.05
148.87
143.32
149.76
173.88
200.17
167.47
168.94
176.61
153.96
151.01
145.25
153.39
175.67
168.56
203.10
152.85
137.94
125.53
136.87
138.89
h (z)
2
(W/m -K)
150.63
125.30
119.29
115.35
116.28
121.09
138.62
313.25
Table SC-3180-A.1: Summary of Steam Cooling Data (cont.)
18.02
18.73
19.87
18.28
17.61
18.82
23.03
28.63
20.52
20.67
22.12
19.02
18.76
18.16
19.74
24.03
21.10
26.24
18.73
16.68
15.02
16.39
16.72
±σhtc
(W/m2-K)
18.58
15.11
14.31
13.79
13.89
14.47
16.86
78.79
12.07%
12.09%
12.34%
12.28%
12.29%
12.57%
13.25%
14.31%
12.25%
12.24%
12.52%
12.36%
12.42%
12.50%
12.87%
13.68%
12.52%
12.92%
12.25%
12.09%
11.96%
11.98%
12.04%
Fractional
Uncertainty
12.33%
12.06%
12.00%
11.96%
11.94%
11.95%
12.17%
25.15%
29.54
30.08
30.09
27.47
26.17
26.83
30.67
34.78
33.21
32.89
33.12
28.43
27.52
26.01
27.00
30.48
37.96
44.96
32.63
28.95
25.73
26.04
26.12
33.12
26.81
25.11
23.94
23.32
23.36
26.23
51.96
Nu(z)
A-134
Channel
Number
73
74
75
76
77
78
79
80
169
170
171
172
173
174
175
176
89
90
91
92
93
94
95
96
121
122
123
124
125
126
127
128
H.R.
Location
RodE2_50.1
RodE2_54
RodE2_56.9
RodE2_59.9
RodE2_66
RodE2_69.8
RodE2_72.9
RodE2_74.9
RodB3_50.2
RodB3_54.1
RodB3_56.9
RodB3_60.1
RodB3_66.1
RodB3_69.9
RodB3_73
RodB3_75
RodF3_50.1
RodF3_54
RodF3_57
RodF3_60
RodF3_66.1
RodF3_70
RodF3_73
RodF3_75
RodE6_50.2
RodE6_54.1
RodE6_57
RodE6_60.2
RodE6_66.1
RodE6_70
RodE6_73.1
RodE6_75
1.275
1.374
1.448
1.529
1.679
1.778
1.857
1.905
1.273
1.372
1.448
1.524
1.679
1.778
1.854
1.905
1.275
1.374
1.445
1.527
1.679
1.775
1.854
1.905
Elevation
(m)
1.273
1.372
1.445
1.521
1.676
1.773
1.852
1.902
0.081
0.180
0.254
0.335
0.485
-0.022
0.056
0.105
0.079
0.178
0.254
0.330
0.485
-0.022
0.054
0.105
0.081
0.180
0.251
0.333
0.485
-0.025
0.054
0.105
Zgrid
(m)
0.079
0.178
0.251
0.328
0.483
-0.027
0.051
0.102
558.9
574.9
584.2
595.4
610.3
609.9
623.9
634.3
562.8
580.1
590.1
599.2
611.9
613.2
627.7
639.0
556.6
571.2
581.7
592.7
610.3
611.3
624.7
635.6
H.R.Tw
(K)
557.3
575.2
585.2
595.7
609.8
610.0
623.3
632.9
2718.7
2820.6
2896.4
2979.7
3133.8
3235.4
3316.5
3365.5
2720.7
2826.1
2907.2
2988.0
3152.8
3257.8
3339.0
3392.9
2719.9
2822.9
2897.8
2982.0
3140.1
3240.6
3322.6
3375.6
H.R. q''
2
(W/m )
2737.0
2841.2
2918.4
2998.6
3161.3
3262.9
3345.7
3399.1
521.3
533.2
542.3
552.5
571.8
584.9
595.3
601.8
521.0
532.9
542.3
551.8
571.8
584.9
595.0
601.8
521.3
533.2
542.0
552.2
571.8
584.5
595.0
601.8
Tcl
(K)
521.0
532.9
542.0
551.5
571.5
584.2
594.7
601.5
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Correction
Factor
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
533.9
547.1
556.3
566.8
584.6
593.2
604.9
612.6
534.9
548.6
558.2
567.6
585.2
594.3
605.9
614.2
533.1
545.9
555.2
565.7
584.6
593.4
604.9
613.1
Tbulk
(K)
533.1
547.0
556.4
566.2
584.3
592.8
604.2
611.9
1717
1667
1635
1599
1541
1515
1480
1458
1713
1662
1628
1596
1539
1511
1477
1454
1720
1672
1638
1602
1541
1514
1480
1457
1720
1668
1634
1600
1542
1516
1482
1460
Re (z)
108.61
101.52
103.53
104.12
122.14
193.84
174.19
155.49
97.83
89.82
91.26
94.71
118.10
172.58
152.93
136.78
115.54
111.39
109.42
110.45
122.52
181.48
167.88
149.75
h (z)
(W/m2-K)
113.09
100.84
101.35
101.89
123.72
189.47
175.24
162.15
Table SC-3180-A.1: Summary of Steam Cooling Data (cont.)
13.31
12.29
12.52
12.57
14.92
25.54
22.29
19.45
11.83
10.73
10.88
11.30
14.31
22.04
19.02
16.70
14.27
13.62
13.30
13.40
14.95
23.51
21.29
18.58
±σhtc
(W/m2-K)
13.85
12.13
12.16
12.20
15.04
24.65
22.29
20.27
12.25%
12.11%
12.10%
12.07%
12.21%
13.17%
12.80%
12.51%
12.09%
11.95%
11.93%
11.93%
12.12%
12.77%
12.44%
12.21%
12.35%
12.23%
12.16%
12.13%
12.20%
12.95%
12.68%
12.41%
Fractional
Uncertainty
12.25%
12.03%
12.00%
11.97%
12.15%
13.01%
12.72%
12.50%
31.97
28.94
28.86
28.30
31.83
49.51
43.31
37.98
28.72
25.51
25.32
25.70
30.74
43.97
37.93
33.29
34.07
31.84
30.58
30.11
31.93
46.33
41.74
36.54
33.34
28.75
28.25
27.74
32.27
48.44
43.63
39.67
Nu(z)
RBHT Steam Cooling Test SC-3180-B
Matrix test # 14
Test date – 4/6/2005
Steady state time window: 9960 - 10260 sec
Inlet flow: 1.01 m3/min (35.5 ft3/min)
Inlet steam temperature: 420 K (297 °F)
Upper plenum pressure: 409.5 kPa (59.4 psia)
Bundle power: 29.9 kW
Outlet steam temperature: 770 K (927 °F)
Bundle inlet Reynolds number: 5794
Subchannel Centerline Temperatures
The equations below were correlated using the axial subchannel centerline temperature
distribution.
Subchannels D5 and E5 (use for inner 3x3 rod bundle thermocouple locations)
Tcl = -14.398x3 + 90.388x2 - 48.035x + 444.77
Subchannel C5 (use for 5x5 peripheral rod bundle thermocouple locations)
Tcl = -7.8945x3 + 54.904x2 - 1.1931x + 430.65
where x is the elevation (m) and Tcl is in (K)
A-135
A-136
A-137
A-138
A-139
A-140
Subchannels D5 and E5 Axial Temperature Profile
y = -14.398x 3 + 90.388x 2 - 48.035x + 444.77
800
750
Temperature (deg K)
700
650
600
550
500
450
400
350
0
0.5
1
1.5
2
2.5
3
3.5
4
3.5
4
Elevation (m)
Subchannel C5 Axial Temperature Profile
y = -7.8945x 3 + 54.904x 2 - 1.1931x + 430.65
800
750
Temperature (deg K)
700
650
600
550
500
450
400
350
0
0.5
1
1.5
2
Elevation (m)
A-141
2.5
3
A-142
Channel
Number
185
186
187
188
189
190
191
192
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
201
202
204
205
208
193
194
195
196
197
198
199
200
H.R.
Location
RodD3_88.3
RodD3_91.3
RodD3_93.1
RodD3_95.3
RodD3_100.1
RodD3_106.1
RodD3_110
RodD3_142.1
RodC4_88.4
RodC4_91.1
RodC4_93.4
RodC4_95.3
RodC4_100.1
RodC4_106.1
RodC4_110
RodC4_142.2
RodD4_88.3
RodD4_91.3
RodD4_93.2
RodD4_95.2
RodD4_100.1
RodD4_106.1
RodD4_110
RodD4_142.1
RodE4_88.4
RodE4_91.2
RodE4_95.3
RodE4_100.9
RodE4_142.3
RodE3_63.4
RodE3_113.6
RodE3_115.5
RodE3_118.5
RodE3_122.7
RodE3_126.5
RodE3_131.7
RodE3_135.6
1.610
2.885
2.934
3.010
3.117
3.213
3.345
3.444
2.245
2.316
2.421
2.563
3.614
2.243
2.319
2.367
2.418
2.543
2.695
2.794
3.609
2.245
2.314
2.372
2.421
2.543
2.695
2.794
3.612
Elevation
(m)
2.243
2.319
2.365
2.421
2.543
2.695
2.794
3.609
0.417
0.022
0.070
0.146
0.253
0.349
-0.046
0.053
-0.003
0.069
0.173
0.315
0.224
-0.005
0.071
0.119
0.170
0.295
0.447
0.546
0.218
-0.003
0.066
0.124
0.173
0.295
0.447
0.546
0.221
Zgrid
(m)
-0.005
0.071
0.117
0.173
0.295
0.447
0.546
0.218
615.0
762.6
773.5
784.0
792.4
794.3
780.9
786.0
669.4
694.3
720.3
743.4
791.1
676.1
701.1
713.3
724.2
745.6
763.4
756.6
799.7
674.8
697.9
710.9
723.3
744.0
767.7
757.9
804.5
H.R.Tw
(K)
668.1
696.7
709.5
722.7
745.7
765.0
757.1
792.3
6586.7
8125.9
7823.5
7345.8
6681.7
6078.9
5258.7
4641.3
7952.2
8106.1
8332.2
8640.0
3307.5
8077.2
8247.6
8356.9
8472.0
8756.0
9098.3
8787.0
3270.3
8107.5
8265.3
8397.8
8509.1
8787.1
9136.9
8845.0
3386.3
H.R. q''
(W/m2)
8009.5
8180.9
8283.1
8410.8
8684.7
9022.9
8913.8
3126.3
541.7
712.8
718.2
726.4
737.1
746.0
756.6
763.3
629.6
639.5
653.9
673.0
772.1
629.3
639.9
646.6
653.5
670.3
690.0
702.1
771.9
629.6
639.2
647.3
653.9
670.3
690.0
702.1
772.0
Tcl
(K)
629.3
639.9
646.2
653.9
670.3
690.0
702.1
771.9
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
Correction
Factor
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
557.4
723.5
730.1
738.8
749.0
756.3
761.8
768.2
638.1
651.3
668.1
688.0
776.2
639.3
653.0
660.9
668.7
686.4
705.7
713.8
777.8
639.3
651.8
660.9
668.8
686.1
706.6
714.1
779.0
Tbulk
(K)
637.6
652.1
659.8
668.6
686.4
706.0
713.9
776.3
4745
3504
3468
3423
3370
3334
3307
3277
4046
3952
3837
3710
3239
4038
3939
3885
3833
3720
3604
3558
3232
4038
3948
3885
3833
3722
3599
3556
3226
4050
3946
3893
3834
3720
3602
3557
3239
Re (z)
Table SC-3180-B.1: Summary of Steam Cooling Data
114.30
207.86
180.19
162.47
153.99
160.08
274.58
259.50
254.25
188.44
159.54
156.22
221.80
219.31
171.36
159.46
152.52
147.96
157.72
205.16
149.90
228.10
179.17
167.91
156.01
151.65
149.64
201.81
132.56
h (z)
(W/m2-K)
262.35
183.19
166.55
155.54
146.62
152.98
206.21
194.50
7.75
15.00
12.73
11.38
10.84
11.55
25.46
24.94
19.45
13.37
10.99
10.68
24.02
15.98
11.86
10.90
10.35
9.97
10.65
14.51
13.21
16.74
12.47
11.54
10.60
10.23
10.03
14.17
10.81
±σhtc
(W/m2-K)
20.16
12.87
11.51
10.62
9.91
10.34
14.48
20.34
6.78%
7.22%
7.07%
7.01%
7.04%
7.22%
9.27%
9.61%
7.65%
7.10%
6.89%
6.84%
10.83%
7.28%
6.92%
6.84%
6.79%
6.74%
6.76%
7.07%
8.81%
7.34%
6.96%
6.87%
6.79%
6.74%
6.70%
7.02%
8.15%
Fractional
Uncertainty
7.68%
7.03%
6.91%
6.83%
6.76%
6.76%
7.02%
10.46%
31.78
40.06
34.27
30.38
28.23
28.94
49.12
45.87
58.63
42.22
34.46
32.36
38.62
50.44
38.24
34.99
32.91
30.75
31.50
40.31
26.02
52.47
40.10
36.84
33.66
31.54
29.83
39.63
22.96
60.57
40.97
36.63
33.56
30.47
30.53
40.51
33.86
Nu(z)
A-143
209
210
211
212
213
214
215
216
177
178
179
180
181
182
183
217
218
219
220
221
222
223
224
RodC3_79.8
RodC3_85.6
RodC3_88.5
RodC3_92.4
RodC3_94.4
RodC3_97.2
RodC3_108.8
RodD5_50
RodD5_54.1
RodD5_56.9
RodD5_60
RodD5_66.1
RodD5_69.9
RodD5_72.9
RodD5_74.9
1.270
1.374
1.445
1.524
1.679
1.775
1.852
1.902
2.027
2.174
2.248
2.347
2.398
2.469
2.764
1.615
2.885
2.931
3.015
3.114
3.216
3.343
3.444
Channel Elevation
Number
(m)
225
1.618
226
2.885
227
2.939
229
3.117
230
3.218
231
3.343
232
3.447
RodE5_63.6
RodE5_113.6
RodE5_115.4
RodE5_118.7
RodE5_122.6
RodE5_126.6
RodE5_131.6
RodE5_135.6
H.R.
Location
RodC5_63.7
RodC5_113.6
RodC5_115.7
RodC5_122.7
RodC5_126.7
RodC5_131.6
RodC5_135.7
0.076
0.180
0.251
0.330
0.485
-0.025
0.051
0.102
0.227
0.374
0.000
0.099
0.150
0.221
0.516
0.422
0.022
0.067
0.151
0.250
0.352
-0.048
0.053
Zgrid
(m)
0.424
0.022
0.075
0.253
0.354
-0.048
0.056
566.7
587.4
598.7
609.1
621.2
605.7
632.0
645.8
657.2
664.5
668.6
700.1
708.8
725.0
764.9
610.9
752.2
761.3
769.4
777.8
783.0
771.2
778.9
H.R.Tw
(K)
620.8
760.4
774.3
793.1
795.6
782.7
791.3
5851.1
6082.3
6237.4
6413.5
6755.3
6972.2
7141.2
7253.3
7492.0
7817.9
7980.9
8198.6
8312.6
8470.1
8930.1
6618.9
8176.3
7896.2
7379.6
6772.0
6148.4
5373.1
4748.5
H.R. q''
(W/m2)
6465.1
7929.2
7613.8
6559.8
5956.2
5222.2
4604.5
500.1
512.1
520.7
530.5
550.8
563.8
574.3
581.4
598.9
619.6
630.0
643.8
650.8
660.4
698.4
542.3
712.8
717.9
727.0
736.9
746.2
756.4
763.3
Tcl
(K)
542.7
712.8
718.8
737.1
746.4
756.4
763.4
1.20
1.20
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
Correction
Factor
1.27
1.27
1.27
1.27
1.27
1.27
1.27
511.2
524.6
537.4
547.4
565.9
572.8
586.7
595.2
611.3
629.2
638.2
655.8
663.2
674.3
712.7
557.0
721.2
727.2
736.1
745.7
754.1
759.6
766.6
Tbulk
(K)
559.4
723.0
730.7
749.1
756.9
762.0
769.4
5265
5102
4957
4849
4661
4594
4465
4390
4254
4113
4045
3920
3870
3797
3564
4749
3516
3484
3437
3387
3345
3318
3284
4725
3507
3465
3370
3331
3306
3271
Re (z)
105.38
96.89
101.66
103.87
122.02
211.86
157.51
143.37
163.51
221.74
262.86
185.16
182.19
167.06
170.85
122.91
264.33
231.71
221.09
210.54
212.77
459.76
387.50
h (z)
(W/m2-K)
105.29
211.92
174.51
149.20
154.20
252.48
210.31
Table SC-3180-B.1: Summary of Steam Cooling Data (cont.)
6.30
5.69
6.84
6.98
8.30
15.85
11.01
9.86
11.46
16.40
20.27
13.06
12.78
11.53
11.74
8.39
20.21
17.22
16.50
15.83
16.49
58.71
47.67
±σhtc
(W/m2-K)
7.15
15.58
12.43
10.55
11.14
22.55
18.20
5.98%
5.87%
6.73%
6.72%
6.80%
7.48%
6.99%
6.88%
7.01%
7.40%
7.71%
7.05%
7.02%
6.90%
6.87%
6.82%
7.65%
7.43%
7.46%
7.52%
7.75%
12.77%
12.30%
Fractional
Uncertainty
6.80%
7.35%
7.12%
7.07%
7.23%
8.93%
8.65%
32.77
29.16
29.66
29.59
33.25
56.78
40.85
36.45
40.05
52.16
60.60
41.07
39.77
35.62
33.64
34.20
51.17
44.32
41.56
38.84
38.62
82.59
68.69
29.13
40.88
33.15
27.34
27.84
45.15
37.08
Nu(z)
A-144
Channel
Number
153
154
155
156
157
158
159
160
105
106
107
108
109
110
111
112
57
58
59
60
61
62
63
64
137
138
139
140
141
142
143
144
H.R.
Location
RodB5_41
RodB5_52.9
RodB5_55
RodB5_57.8
RodB5_64
RodB5_73.9
RodB5_75.9
RodB5_76.9
RodF5_41
RodF5_53.1
RodF5_55
RodF5_57.8
RodF5_64
RodF5_73.8
RodF5_75.8
RodF5_76.8
RodC2_41
RodC2_53.1
RodC2_55
RodC2_57.8
RodC2_63.9
RodC2_73.8
RodC2_75.8
RodC2_76.8
RodC6_40.9
RodC6_52.8
RodC6_54.8
RodC6_57.8
RodC6_63.8
RodC6_73.7
RodC6_75.8
RodC6_76.8
1.039
1.341
1.392
1.468
1.621
1.872
1.925
1.951
1.041
1.349
1.397
1.468
1.623
1.875
1.925
1.951
1.041
1.349
1.397
1.468
1.626
1.875
1.925
1.951
Elevation
(m)
1.041
1.344
1.397
1.468
1.626
1.877
1.928
1.953
0.340
0.147
0.198
0.274
0.427
0.072
0.125
0.150
0.343
0.155
0.203
0.274
0.429
0.074
0.125
0.150
0.343
0.155
0.203
0.274
0.432
0.074
0.125
0.150
Zgrid
(m)
0.343
0.150
0.203
0.274
0.432
0.077
0.128
0.153
551.8
583.7
592.2
603.6
619.6
639.9
650.5
656.3
546.4
581.3
589.1
600.3
614.8
625.5
635.3
639.2
547.0
576.6
584.7
594.3
608.4
624.0
635.8
640.7
H.R.Tw
(K)
551.1
582.2
589.7
600.7
617.2
639.1
651.3
656.2
5288.8
5990.1
6110.9
6288.8
6646.6
7229.4
7352.0
7411.6
5302.7
5990.1
6097.8
6257.1
6604.0
7165.4
7281.4
7339.1
5276.7
5968.3
6077.3
6236.6
6591.3
7147.5
7262.1
7319.8
H.R. q''
2
(W/m )
5318.1
5993.1
6112.3
6271.2
6623.6
7185.4
7299.6
7356.7
479.8
508.8
514.1
522.3
539.3
569.0
575.5
578.6
480.0
509.5
514.6
522.3
539.6
569.3
575.5
578.6
480.0
509.5
514.6
522.3
539.9
569.3
575.5
578.6
Tcl
(K)
480.0
509.0
514.6
522.3
539.9
569.6
575.8
579.0
1.20
1.20
1.20
1.27
1.27
1.27
1.27
1.27
1.20
1.20
1.20
1.27
1.27
1.27
1.27
1.27
1.20
1.20
1.20
1.27
1.27
1.27
1.27
1.27
Correction
Factor
1.20
1.20
1.20
1.27
1.27
1.27
1.27
1.27
491.8
521.2
527.1
539.7
556.5
584.2
591.6
595.3
491.1
521.5
527.0
539.0
555.7
581.4
588.3
591.6
491.2
520.7
526.3
537.7
554.6
581.0
588.4
591.9
Tbulk
(K)
491.9
521.2
527.1
539.0
556.4
584.5
592.0
595.5
5516
5142
5074
4932
4754
4488
4422
4389
5526
5139
5074
4940
4762
4514
4451
4421
5525
5148
5083
4954
4774
4517
4450
4419
5515
5143
5073
4939
4755
4485
4418
4387
Re (z)
88.21
95.98
93.91
98.37
105.28
129.72
124.85
121.47
95.88
100.16
98.26
102.06
111.76
162.39
155.07
154.13
94.55
106.86
104.05
110.15
122.37
166.54
153.41
150.15
h (z)
2
(W/m -K)
89.78
98.28
97.75
101.79
109.04
131.66
123.13
121.18
Table SC-3180-B.1: Summary of Steam Cooling Data (cont.)
5.24
5.65
5.49
6.59
7.06
8.79
8.43
8.17
5.76
5.94
5.80
6.88
7.56
11.42
10.79
10.70
5.69
6.42
6.20
7.50
8.37
11.78
10.68
10.40
±σhtc
(W/m2-K)
5.33
5.80
5.75
6.85
7.35
8.97
8.33
8.18
5.94%
5.88%
5.85%
6.70%
6.70%
6.78%
6.75%
6.72%
6.01%
5.93%
5.90%
6.74%
6.77%
7.03%
6.96%
6.94%
6.01%
6.00%
5.96%
6.81%
6.84%
7.07%
6.96%
6.93%
Fractional
Uncertainty
5.93%
5.91%
5.88%
6.73%
6.74%
6.82%
6.77%
6.75%
28.74
29.13
28.10
28.55
29.33
33.84
32.01
30.88
31.30
30.38
29.40
29.67
31.20
42.65
40.06
39.52
30.86
32.47
31.19
32.12
34.26
43.77
39.63
38.47
29.25
29.83
29.24
29.58
30.39
34.32
31.54
30.79
Nu(z)
A-145
98
99
100
101
102
103
104
65
66
67
68
69
70
71
72
129
130
131
132
133
134
135
136
RodD2_103.2
RodD2_106
RodD2_112.6
RodD2_114.9
RodD2_117.4
RodD2_120.8
RodD2_124.8
RodD2_128.6
RodD6_103.1
RodD6_106
RodD6_112.9
RodD6_114.9
RodD6_116.8
RodD6_120.9
RodD6_124.8
RodD6_128.7
2.619
2.692
2.868
2.918
2.967
3.071
3.170
3.269
2.621
2.692
2.860
2.918
2.982
3.068
3.170
3.266
2.174
2.245
2.347
2.395
2.469
2.764
2.819
Channel Elevation
Number
(m)
161
2.245
162
2.319
163
2.370
164
2.416
165
2.540
166
2.692
167
2.791
168
3.614
RodF4_85.6
RodF4_88.4
RodF4_92.4
RodF4_94.3
RodF4_97.2
RodF4_108.8
RodF4_111
H.R.
Location
RodB4_88.4
RodB4_91.3
RodB4_93.3
RodB4_95.1
RodB4_100
RodB4_106
RodB4_109.9
RodB4_142.3
0.371
0.445
0.004
0.055
0.103
0.207
0.306
0.405
0.373
0.445
-0.004
0.055
0.118
0.204
0.306
0.403
0.374
-0.003
0.099
0.147
0.221
0.516
-0.044
Zgrid
(m)
-0.003
0.071
0.122
0.168
0.292
0.445
0.544
0.224
737.3
745.1
740.7
755.1
764.4
773.1
778.0
778.7
739.0
747.3
739.3
755.6
763.2
773.1
778.9
780.0
657.6
661.4
693.6
705.9
721.3
750.9
740.0
H.R.Tw
(K)
670.6
697.6
708.4
718.4
736.8
760.0
750.1
800.0
8926.8
9093.9
8299.0
7959.3
7638.0
6944.3
6282.2
5622.3
8876.9
9034.6
8293.8
7909.9
7493.9
6925.7
6261.6
5625.9
7845.9
8003.3
8227.3
8335.1
8496.1
8974.4
8615.8
H.R. q''
2
(W/m )
7950.8
8109.8
8220.2
8317.2
8587.9
8918.4
8633.8
3362.6
662.3
671.4
692.6
698.6
704.2
716.1
727.1
737.7
662.6
671.4
691.7
698.6
706.0
715.8
727.1
737.4
606.5
615.4
628.2
634.3
643.6
680.0
686.8
Tcl
(K)
615.4
624.7
631.1
636.9
652.5
671.4
683.4
770.8
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
Correction
Factor
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
678.3
687.2
702.9
710.7
717.1
728.3
738.0
746.5
678.9
687.6
701.9
710.8
718.2
728.1
738.2
746.5
617.4
625.3
642.2
649.6
660.2
695.2
698.2
Tbulk
(K)
627.2
640.3
647.6
654.3
670.5
690.3
697.7
777.1
3771
3715
3621
3576
3539
3478
3427
3383
3767
3712
3627
3575
3533
3479
3425
3383
4205
4143
4016
3963
3890
3666
3648
4128
4030
3977
3930
3821
3696
3651
3235
Re (z)
151.44
156.89
219.27
179.13
161.54
155.16
157.18
174.42
147.90
151.33
221.64
176.37
166.78
153.94
153.74
168.22
195.22
221.25
160.04
148.16
139.11
161.16
205.87
h (z)
2
(W/m -K)
183.23
141.50
135.36
129.82
129.64
128.05
164.72
146.54
Table SC-3180-B.1: Summary of Steam Cooling Data (cont.)
10.21
10.59
15.90
12.58
11.23
10.89
11.27
13.19
9.97
10.21
16.15
12.40
11.72
10.81
11.00
12.60
14.00
16.24
11.01
10.08
9.38
10.96
14.62
±σhtc
(W/m2-K)
12.98
9.64
9.16
8.74
8.71
8.57
11.37
12.50
6.74%
6.75%
7.25%
7.02%
6.95%
7.02%
7.17%
7.56%
6.74%
6.75%
7.29%
7.03%
7.03%
7.03%
7.15%
7.49%
7.17%
7.34%
6.88%
6.81%
6.75%
6.80%
7.10%
Fractional
Uncertainty
7.08%
6.81%
6.77%
6.74%
6.72%
6.69%
6.90%
8.53%
32.01
32.56
44.05
35.42
31.53
29.61
29.43
32.13
31.22
31.37
44.62
34.86
32.48
29.39
28.78
30.98
47.16
52.51
36.57
33.31
30.57
32.89
41.75
43.29
32.47
30.57
28.89
27.86
26.40
33.44
25.47
Nu(z)
A-146
Channel
Number
73
74
75
76
77
78
79
80
169
170
171
172
173
174
175
176
89
90
91
92
93
94
95
96
121
122
123
124
125
126
127
128
H.R.
Location
RodE2_50.1
RodE2_54
RodE2_56.9
RodE2_59.9
RodE2_66
RodE2_69.8
RodE2_72.9
RodE2_74.9
RodB3_50.2
RodB3_54.1
RodB3_56.9
RodB3_60.1
RodB3_66.1
RodB3_69.9
RodB3_73
RodB3_75
RodF3_50.1
RodF3_54
RodF3_57
RodF3_60
RodF3_66.1
RodF3_70
RodF3_73
RodF3_75
RodE6_50.2
RodE6_54.1
RodE6_57
RodE6_60.2
RodE6_66.1
RodE6_70
RodE6_73.1
RodE6_75
1.275
1.374
1.448
1.529
1.679
1.778
1.857
1.905
1.273
1.372
1.448
1.524
1.679
1.778
1.854
1.905
1.275
1.374
1.445
1.527
1.679
1.775
1.854
1.905
Elevation
(m)
1.273
1.372
1.445
1.521
1.676
1.773
1.852
1.902
0.081
0.180
0.254
0.335
0.485
-0.022
0.056
0.105
0.079
0.178
0.254
0.330
0.485
-0.022
0.054
0.105
0.081
0.180
0.251
0.333
0.485
-0.025
0.054
0.105
Zgrid
(m)
0.079
0.178
0.251
0.328
0.483
-0.027
0.051
0.102
560.3
578.1
588.0
598.2
609.5
596.1
620.0
632.5
563.9
583.1
594.4
604.3
609.8
598.4
621.7
634.7
561.1
575.3
584.6
592.9
612.1
598.3
621.9
634.1
H.R.Tw
(K)
560.2
580.6
591.8
603.5
614.8
595.2
618.7
629.8
5834.7
6057.9
6223.2
6404.7
6737.1
6950.6
7126.9
7238.0
5831.8
6057.9
6231.8
6407.6
6760.4
6986.2
7161.1
7276.1
5833.4
6054.3
6211.7
6395.6
6733.1
6951.1
7126.8
7239.8
H.R. q''
2
(W/m )
5864.7
6089.0
6254.4
6425.7
6775.5
6995.1
7174.1
7290.0
502.0
512.2
520.1
529.0
546.1
557.7
567.2
573.1
501.8
511.9
520.1
528.4
546.1
557.7
566.9
573.1
502.0
512.2
519.8
528.7
546.1
557.4
566.9
573.1
Tcl
(K)
501.8
511.9
519.8
528.1
545.8
557.1
566.6
572.7
1.20
1.20
1.27
1.27
1.27
1.27
1.27
1.27
1.20
1.20
1.27
1.27
1.27
1.27
1.27
1.27
1.20
1.20
1.27
1.27
1.27
1.27
1.27
1.27
Correction
Factor
1.20
1.20
1.27
1.27
1.27
1.27
1.27
1.27
511.7
523.2
534.6
543.8
559.6
565.9
578.5
585.8
512.1
523.8
536.0
544.7
559.7
566.4
578.6
586.3
511.9
522.7
533.7
542.4
560.2
566.2
578.7
586.1
Tbulk
(K)
511.5
523.4
535.2
544.3
560.5
565.3
577.7
585.0
5257
5119
4988
4887
4723
4660
4540
4473
5253
5112
4973
4878
4722
4655
4539
4469
5256
5125
4999
4902
4717
4658
4539
4470
5260
5117
4981
4882
4713
4666
4547
4481
Re (z)
120.13
110.24
116.56
117.78
135.20
230.46
171.56
154.91
112.65
102.12
106.72
107.37
135.01
218.33
166.13
150.06
118.43
115.14
122.00
126.79
129.72
216.25
164.82
150.95
h (z)
2
(W/m -K)
120.39
106.46
110.50
108.50
124.84
233.56
175.25
162.47
Table SC-3180-B.1: Summary of Steam Cooling Data (cont.)
7.38
6.62
7.97
8.04
9.33
17.71
12.19
10.79
6.83
6.05
7.22
7.25
9.30
16.46
11.70
10.37
7.26
6.97
8.40
8.74
8.90
16.30
11.63
10.47
±σhtc
(W/m2-K)
7.37
6.33
7.49
7.32
8.50
17.94
12.45
11.36
6.15%
6.00%
6.84%
6.82%
6.90%
7.68%
7.11%
6.96%
6.07%
5.93%
6.77%
6.75%
6.89%
7.54%
7.05%
6.91%
6.13%
6.05%
6.88%
6.89%
6.86%
7.54%
7.05%
6.94%
Fractional
Uncertainty
6.12%
5.94%
6.78%
6.74%
6.81%
7.68%
7.11%
6.99%
37.31
33.30
34.24
33.84
37.39
62.78
45.36
40.26
34.95
30.80
31.25
30.78
37.33
59.40
43.91
38.96
36.77
34.82
35.92
36.55
35.83
58.87
43.56
39.20
37.41
32.14
32.42
31.14
34.45
63.72
46.42
42.31
Nu(z)
RBHT Steam Cooling Test SC-3180-C
Matrix test # 15
Test date – 4/6/2005
Steady state time window: 7100 - 7600 sec
Inlet flow: 2.43 m3/min (85.9 ft3/min)
Inlet steam temperature: 420 K (297 °F)
Upper plenum pressure: 409.5 kPa (59.4 psia)
Bundle power: 70.0 kW
Outlet steam temperature: 780 K (945 °F)
Bundle inlet Reynolds number: 14026
Subchannel Centerline Temperatures
The equations below were correlated using the axial subchannel centerline temperature
distribution.
Subchannels D5 and E5 (use for inner 3x3 rod bundle thermocouple locations)
Tcl = -13.97x3 + 88.205x2 - 42.988x + 445.08
Subchannel C5 (use for 5x5 peripheral rod bundle thermocouple locations)
Tcl = -9.3462x3 + 64.485x2 - 15.996x + 436.62
where x is the elevation (m) and Tcl is in (K)
A-147
A-148
A-149
A-150
A-151
A-152
Subchannels D5 and E5 Axial Temperature Profile
y = -13.97x 3 + 88.205x 2 - 42.988x + 445.08
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
2.5
3
3.5
4
3.5
4
Elevation (m)
Subchannel C5 Axial Temperature Profile
y = -9.3462x 3 + 64.485x 2 - 15.996x + 436.62
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
Elevation (m)
A-153
2.5
3
A-154
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
201
202
204
205
208
193
194
195
196
197
198
199
200
RodD4_88.3
RodD4_91.3
RodD4_93.2
RodD4_95.2
RodD4_100.1
RodD4_106.1
RodD4_110
RodD4_142.1
RodE4_88.4
RodE4_91.2
RodE4_95.3
RodE4_100.9
RodE4_142.3
RodE3_63.4
RodE3_113.6
RodE3_115.5
RodE3_118.5
RodE3_122.7
RodE3_126.5
RodE3_131.7
RodE3_135.6
1.610
2.885
2.934
3.010
3.117
3.213
3.345
3.444
2.245
2.316
2.421
2.563
3.614
2.243
2.319
2.367
2.418
2.543
2.695
2.794
3.609
2.245
2.314
2.372
2.421
2.543
2.695
2.794
3.612
Channel Elevation
Number
(m)
185
2.243
186
2.319
187
2.365
188
2.421
189
2.543
190
2.695
191
2.794
192
3.609
RodC4_88.4
RodC4_91.1
RodC4_93.4
RodC4_95.3
RodC4_100.1
RodC4_106.1
RodC4_110
RodC4_142.2
H.R.
Location
RodD3_88.3
RodD3_91.3
RodD3_93.1
RodD3_95.3
RodD3_100.1
RodD3_106.1
RodD3_110
RodD3_142.1
0.417
0.022
0.070
0.146
0.253
0.349
-0.046
0.053
-0.003
0.069
0.173
0.315
0.224
-0.005
0.071
0.119
0.170
0.295
0.447
0.546
0.218
-0.003
0.066
0.124
0.173
0.295
0.447
0.546
0.221
Zgrid
(m)
-0.005
0.071
0.117
0.173
0.295
0.447
0.546
0.218
637.7
798.7
814.5
826.5
828.2
824.8
800.0
812.7
696.1
731.8
760.8
781.8
817.0
704.5
739.0
754.1
766.4
783.7
802.6
787.3
825.8
701.3
735.9
750.9
766.7
781.7
807.9
788.9
831.9
H.R.Tw
(K)
696.1
737.8
754.2
768.4
784.5
806.2
790.6
817.0
15426.6
19015.6
18310.7
17196.1
15637.2
14228.3
12296.7
10849.1
18623.0
18984.1
19512.1
20231.4
7738.0
18907.8
19313.0
19568.5
19838.7
20496.7
21302.1
20575.0
7654.9
18972.1
19339.3
19651.8
19909.5
20561.1
21375.4
20685.9
7910.0
H.R. q''
(W/m2)
18763.8
19164.9
19404.9
19697.1
20333.9
21133.8
20869.4
7301.9
546.3
719.8
725.4
733.8
745.0
754.2
765.4
772.6
635.1
645.2
659.7
679.1
782.4
634.8
645.5
652.3
659.4
676.4
696.4
708.8
782.1
635.1
644.8
653.0
659.7
676.4
696.4
708.8
782.2
Tcl
(K)
634.8
645.5
651.9
659.7
676.4
696.4
708.8
782.1
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
561.5
733.0
740.2
749.3
758.8
765.9
771.1
779.3
645.3
659.6
676.6
696.2
788.1
646.4
661.1
669.3
677.2
694.3
714.1
721.9
789.4
646.1
660.0
669.3
677.5
693.9
715.0
722.2
790.5
Tbulk
(K)
645.0
660.9
669.0
677.8
694.4
714.7
722.5
787.9
11386
8358
8266
8154
8040
7957
7897
7806
9668
9426
9154
8859
7709
9649
9401
9269
9145
8888
8608
8503
7695
9653
9419
9268
9139
8893
8596
8499
7684
9673
9404
9274
9135
8886
8599
8495
7711
Re (z)
Table SC-3180-C.1: Summary of Steam Cooling Data
202.47
289.30
246.48
222.67
225.41
241.77
426.61
324.57
366.27
262.99
231.54
236.33
268.01
325.31
247.88
230.64
222.47
229.11
240.82
314.73
210.10
343.99
254.66
240.95
223.35
234.24
229.99
310.14
191.18
h (z)
(W/m2-K)
366.85
249.34
227.77
217.52
225.68
230.93
306.39
251.60
8.52
12.59
10.45
9.37
9.67
10.79
26.03
18.15
17.15
11.23
9.62
9.79
16.39
14.58
10.40
9.54
9.13
9.40
9.90
13.70
11.32
15.65
10.73
10.02
9.16
9.63
9.38
13.42
9.67
±σhtc
(W/m2-K)
17.12
10.50
9.43
8.92
9.26
9.46
13.18
15.44
4.21%
4.35%
4.24%
4.21%
4.29%
4.46%
6.10%
5.59%
4.68%
4.27%
4.15%
4.14%
6.11%
4.48%
4.19%
4.14%
4.10%
4.10%
4.11%
4.35%
5.39%
4.55%
4.21%
4.16%
4.10%
4.11%
4.08%
4.33%
5.06%
Fractional
Uncertainty
4.67%
4.21%
4.14%
4.10%
4.11%
4.10%
4.30%
6.14%
55.74
54.71
45.96
40.79
40.55
42.91
74.98
56.19
83.14
57.86
49.13
48.13
45.65
73.67
54.36
49.70
47.14
46.85
47.29
60.84
35.70
77.94
55.98
51.92
47.29
47.93
45.08
59.92
32.42
83.33
54.71
49.11
46.03
46.13
45.29
59.16
42.87
Nu(z)
A-155
209
210
211
212
213
214
215
216
177
178
179
180
181
182
183
217
218
219
220
221
222
223
224
RodC3_79.8
RodC3_85.6
RodC3_88.5
RodC3_92.4
RodC3_94.4
RodC3_97.2
RodC3_108.8
RodD5_50
RodD5_54.1
RodD5_56.9
RodD5_60
RodD5_66.1
RodD5_69.9
RodD5_72.9
RodD5_74.9
1.270
1.374
1.445
1.524
1.679
1.775
1.852
1.902
2.027
2.174
2.248
2.347
2.398
2.469
2.764
1.615
2.885
2.931
3.015
3.114
3.216
3.343
3.444
Channel Elevation
Number
(m)
225
1.618
226
2.885
227
2.939
229
3.117
230
3.218
231
3.343
232
3.447
RodE5_63.6
RodE5_113.6
RodE5_115.4
RodE5_118.7
RodE5_122.6
RodE5_126.6
RodE5_131.6
RodE5_135.6
H.R.
Location
RodC5_63.7
RodC5_113.6
RodC5_115.7
RodC5_122.7
RodC5_126.7
RodC5_131.6
RodC5_135.7
0.076
0.180
0.251
0.330
0.485
-0.025
0.051
0.102
0.227
0.374
0.000
0.099
0.150
0.221
0.516
0.422
0.022
0.067
0.151
0.250
0.352
-0.048
0.053
Zgrid
(m)
0.424
0.022
0.075
0.253
0.354
-0.048
0.056
590.0
612.3
620.8
627.1
643.8
623.3
660.1
676.6
681.7
687.3
695.7
738.1
744.7
766.0
800.4
631.3
793.2
805.0
812.7
815.0
812.9
789.5
807.5
H.R.Tw
(K)
638.7
800.8
820.8
832.0
829.5
806.2
822.2
13695.3
14234.2
14604.4
15011.9
15814.3
16311.7
16705.5
16968.6
17539.1
18303.1
18684.7
19196.0
19457.6
19823.3
20900.7
15499.2
19124.1
18465.5
17261.1
15832.5
14371.2
12546.5
11089.8
H.R. q''
2
(W/m )
15124.0
18541.6
17801.6
15334.4
13923.9
12192.4
10747.3
504.1
516.3
525.0
535.0
555.4
568.6
579.2
586.4
604.0
625.0
635.5
649.4
656.5
666.4
705.1
546.9
719.8
725.1
734.4
744.7
754.4
765.2
772.6
Tcl
(K)
547.3
719.8
726.0
745.0
754.6
765.2
772.8
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
518.4
532.3
541.0
550.3
570.2
577.7
592.7
601.4
616.9
635.4
645.5
664.2
671.2
683.0
721.0
561.0
732.0
738.4
747.4
756.4
764.1
769.2
778.4
Tbulk
(K)
562.5
733.3
741.8
759.5
767.1
772.0
781.0
12528
12137
11904
11662
11181
11007
10679
10497
10188
9843
9664
9350
9238
9056
8515
11398
8370
8289
8177
8068
7978
7919
7816
11362
8354
8247
8032
7943
7888
7787
Re (z)
191.38
178.00
182.98
195.64
214.64
357.66
247.96
225.50
270.96
352.60
372.36
259.77
264.75
238.68
262.97
220.51
312.58
277.45
264.51
270.13
294.98
617.75
381.04
h (z)
2
(W/m -K)
198.43
274.63
225.29
211.29
223.05
356.48
260.98
Table SC-3180-C.1: Summary of Steam Cooling Data (cont.)
8.14
7.42
7.63
8.22
9.08
17.28
10.73
9.54
11.84
16.39
17.51
11.03
11.26
9.93
11.02
9.42
13.83
12.02
11.50
12.06
13.94
47.98
23.05
±σhtc
(W/m2-K)
8.39
11.94
9.49
9.02
9.83
19.74
13.18
4.26%
4.17%
4.17%
4.20%
4.23%
4.83%
4.33%
4.23%
4.37%
4.65%
4.70%
4.25%
4.25%
4.16%
4.19%
4.27%
4.43%
4.33%
4.35%
4.46%
4.73%
7.77%
6.05%
Fractional
Uncertainty
4.23%
4.35%
4.21%
4.27%
4.41%
5.54%
5.05%
58.48
52.59
52.93
55.33
57.88
94.74
63.41
56.51
65.53
81.81
84.48
56.59
56.81
49.96
50.93
60.79
59.22
51.91
48.63
48.82
52.53
108.96
66.07
54.50
51.90
41.88
37.96
39.50
62.55
45.04
Nu(z)
A-156
105
106
107
108
109
110
111
112
57
58
59
60
61
62
63
64
137
138
139
140
141
142
143
144
RodC2_41
RodC2_53.1
RodC2_55
RodC2_57.8
RodC2_63.9
RodC2_73.8
RodC2_75.8
RodC2_76.8
RodC6_40.9
RodC6_52.8
RodC6_54.8
RodC6_57.8
RodC6_63.8
RodC6_73.7
RodC6_75.8
RodC6_76.8
1.039
1.341
1.392
1.468
1.621
1.872
1.925
1.951
1.041
1.349
1.397
1.468
1.623
1.875
1.925
1.951
1.041
1.349
1.397
1.468
1.626
1.875
1.925
1.951
Channel Elevation
Number
(m)
153
1.041
154
1.344
155
1.397
156
1.468
157
1.626
158
1.877
159
1.928
160
1.953
RodF5_41
RodF5_53.1
RodF5_55
RodF5_57.8
RodF5_64
RodF5_73.8
RodF5_75.8
RodF5_76.8
H.R.
Location
RodB5_41
RodB5_52.9
RodB5_55
RodB5_57.8
RodB5_64
RodB5_73.9
RodB5_75.9
RodB5_76.9
0.340
0.147
0.198
0.274
0.427
0.072
0.125
0.150
0.343
0.155
0.203
0.274
0.429
0.074
0.125
0.150
0.343
0.155
0.203
0.274
0.432
0.074
0.125
0.150
Zgrid
(m)
0.343
0.150
0.203
0.274
0.432
0.077
0.128
0.153
563.4
604.4
611.9
620.9
638.8
669.7
679.4
685.3
559.2
600.3
606.5
614.0
629.5
656.1
666.5
670.4
559.0
597.4
604.1
611.7
628.0
653.8
665.4
668.9
H.R.Tw
(K)
568.3
606.8
614.6
621.6
636.5
668.3
680.7
685.5
12367.2
14014.5
14293.8
14709.0
15541.5
16912.1
17203.7
17341.0
12427.4
14034.4
14286.4
14657.1
15467.4
16783.7
17048.1
17180.3
12372.2
13978.2
14230.8
14602.2
15426.3
16724.8
16991.1
17124.5
H.R. q''
2
(W/m )
12447.0
14030.1
14308.4
14680.9
15504.1
16818.4
17084.1
17215.6
479.1
508.6
514.1
522.5
540.3
571.3
578.2
581.4
479.3
509.4
514.6
522.5
540.6
571.7
578.2
581.4
479.3
509.4
514.6
522.5
540.9
571.7
578.2
581.4
Tcl
(K)
479.3
508.9
514.6
522.5
540.9
572.0
578.5
581.7
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
493.2
524.6
530.4
538.9
556.7
587.7
595.0
598.7
492.6
524.6
529.9
537.8
555.4
585.7
592.9
596.2
492.6
524.1
529.5
537.4
555.4
585.4
592.7
596.0
Tbulk
(K)
494.2
525.2
531.3
539.1
556.8
588.0
595.5
599.0
13308
12352
12189
11958
11504
10786
10630
10552
13325
12353
12202
11988
11536
10829
10675
10604
13326
12366
12213
11999
11536
10837
10679
10609
13275
12334
12164
11955
11501
10779
10620
10546
Re (z)
176.08
175.52
175.32
179.40
189.28
206.25
203.81
200.28
186.69
185.39
186.59
192.33
208.82
238.56
231.55
231.66
186.44
190.58
190.97
196.59
212.57
244.19
233.75
234.77
h (z)
2
(W/m -K)
167.81
171.84
171.69
177.89
194.63
209.63
200.64
199.20
Table SC-3180-C.1: Summary of Steam Cooling Data (cont.)
7.54
7.33
7.29
7.45
7.86
8.58
8.44
8.26
8.08
7.81
7.85
8.10
8.83
10.23
9.84
9.83
8.08
8.09
8.08
8.32
9.03
10.54
9.96
10.00
±σhtc
(W/m2-K)
7.10
7.15
7.12
7.39
8.13
8.77
8.31
8.23
4.28%
4.17%
4.16%
4.15%
4.15%
4.16%
4.14%
4.12%
4.33%
4.21%
4.21%
4.21%
4.23%
4.29%
4.25%
4.24%
4.33%
4.24%
4.23%
4.23%
4.25%
4.31%
4.26%
4.26%
Fractional
Uncertainty
4.23%
4.16%
4.15%
4.15%
4.18%
4.18%
4.14%
4.13%
57.19
52.84
52.04
52.15
52.72
53.36
51.84
50.51
60.71
55.81
55.44
56.07
58.34
62.01
59.19
58.76
60.64
57.44
56.80
57.36
59.39
63.53
59.78
59.58
54.37
51.65
50.85
51.70
54.19
54.20
50.98
50.20
Nu(z)
A-157
98
99
100
101
102
103
104
65
66
67
68
69
70
71
72
129
130
131
132
133
134
135
136
RodD2_103.2
RodD2_106
RodD2_112.6
RodD2_114.9
RodD2_117.4
RodD2_120.8
RodD2_124.8
RodD2_128.6
RodD6_103.1
RodD6_106
RodD6_112.9
RodD6_114.9
RodD6_116.8
RodD6_120.9
RodD6_124.8
RodD6_128.7
2.619
2.692
2.868
2.918
2.967
3.071
3.170
3.269
2.621
2.692
2.860
2.918
2.982
3.068
3.170
3.266
2.174
2.245
2.347
2.395
2.469
2.764
2.819
Channel Elevation
Number
(m)
161
2.245
162
2.319
163
2.370
164
2.416
165
2.540
166
2.692
167
2.791
168
3.614
RodF4_85.6
RodF4_88.4
RodF4_92.4
RodF4_94.3
RodF4_97.2
RodF4_108.8
RodF4_111
H.R.
Location
RodB4_88.4
RodB4_91.3
RodB4_93.3
RodB4_95.1
RodB4_100
RodB4_106
RodB4_109.9
RodB4_142.3
0.371
0.445
0.004
0.055
0.103
0.207
0.306
0.405
0.373
0.445
-0.004
0.055
0.118
0.204
0.306
0.403
0.374
-0.003
0.099
0.147
0.221
0.516
-0.044
Zgrid
(m)
-0.003
0.071
0.122
0.168
0.292
0.445
0.544
0.224
773.6
781.9
776.3
797.1
806.5
810.0
807.1
806.9
773.5
783.1
773.9
795.0
804.8
811.5
809.6
806.9
684.0
689.9
732.0
745.5
761.0
792.0
764.0
H.R.Tw
(K)
696.0
735.0
747.1
759.9
772.6
799.5
777.5
829.3
20809.7
21192.4
19340.1
18547.5
17795.4
16172.3
14628.7
13087.2
20777.3
21152.2
19405.6
18505.9
17527.5
16196.3
14632.2
13144.2
18361.2
18728.5
19253.7
19502.6
19888.0
20999.1
20142.6
H.R. q''
(W/m2)
18604.6
18977.7
19233.3
19463.6
20092.1
20863.6
20197.4
7848.3
669.1
678.6
700.6
706.8
712.7
724.9
736.2
746.9
669.4
678.6
699.7
706.8
714.5
724.6
736.2
746.7
610.6
620.0
633.4
639.8
649.5
687.6
694.6
Tcl
(K)
620.0
629.7
636.5
642.5
658.9
678.6
691.1
779.9
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
686.5
695.8
713.2
721.9
728.3
739.1
748.0
756.9
686.8
696.0
712.1
721.5
729.5
739.1
748.4
756.7
622.8
631.6
649.9
657.4
668.1
705.0
706.2
Tbulk
(K)
632.7
647.3
654.9
662.1
677.8
698.7
705.5
788.1
9003
8866
8620
8503
8418
8280
8170
8062
8999
8863
8636
8507
8402
8280
8165
8065
10075
9911
9589
9462
9288
8734
8717
9892
9633
9504
9385
9135
8823
8726
7709
Re (z)
239.05
246.27
306.67
246.65
227.62
228.27
247.38
261.79
239.54
242.93
313.77
251.83
233.03
223.90
239.15
261.85
300.21
321.76
234.47
221.50
214.11
241.51
348.65
h (z)
(W/m2-K)
293.81
216.33
208.68
198.98
212.00
207.09
280.72
190.57
Table SC-3180-C.1: Summary of Steam Cooling Data (cont.)
9.85
10.17
13.47
10.43
9.56
9.77
11.06
12.32
9.88
10.02
13.86
10.70
9.86
9.55
10.59
12.31
13.30
14.44
9.77
9.13
8.76
9.96
15.67
±σhtc
(W/m2-K)
12.91
8.93
8.56
8.10
8.66
8.40
12.01
9.66
4.12%
4.13%
4.39%
4.23%
4.20%
4.28%
4.47%
4.71%
4.13%
4.12%
4.42%
4.25%
4.23%
4.26%
4.43%
4.70%
4.43%
4.49%
4.17%
4.12%
4.09%
4.13%
4.49%
Fractional
Uncertainty
4.40%
4.13%
4.10%
4.07%
4.09%
4.06%
4.28%
5.07%
49.67
50.20
60.32
47.68
43.44
42.65
45.43
47.26
49.75
49.50
61.87
48.72
44.37
41.84
43.89
47.30
71.64
75.28
52.69
48.96
46.25
48.30
69.56
68.58
48.89
46.38
43.55
44.86
41.96
56.09
32.46
Nu(z)
A-158
169
170
171
172
173
174
175
176
89
90
91
92
93
94
95
96
121
122
123
124
125
126
127
128
RodF3_50.1
RodF3_54
RodF3_57
RodF3_60
RodF3_66.1
RodF3_70
RodF3_73
RodF3_75
RodE6_50.2
RodE6_54.1
RodE6_57
RodE6_60.2
RodE6_66.1
RodE6_70
RodE6_73.1
RodE6_75
1.275
1.374
1.448
1.529
1.679
1.778
1.857
1.905
1.273
1.372
1.448
1.524
1.679
1.778
1.854
1.905
1.275
1.374
1.445
1.527
1.679
1.775
1.854
1.905
Channel Elevation
Number
(m)
73
1.273
74
1.372
75
1.445
76
1.521
77
1.676
78
1.773
79
1.852
80
1.902
RodB3_50.2
RodB3_54.1
RodB3_56.9
RodB3_60.1
RodB3_66.1
RodB3_69.9
RodB3_73
RodB3_75
H.R.
Location
RodE2_50.1
RodE2_54
RodE2_56.9
RodE2_59.9
RodE2_66
RodE2_69.8
RodE2_72.9
RodE2_74.9
0.081
0.180
0.254
0.335
0.485
-0.022
0.056
0.105
0.079
0.178
0.254
0.330
0.485
-0.022
0.054
0.105
0.081
0.180
0.251
0.333
0.485
-0.025
0.054
0.105
Zgrid
(m)
0.079
0.178
0.251
0.328
0.483
-0.027
0.051
0.102
583.0
600.3
608.3
615.1
632.7
614.8
650.3
664.1
585.9
602.6
610.6
617.9
627.9
615.8
652.3
669.9
582.1
594.6
603.4
608.2
631.6
614.2
649.3
664.3
H.R.Tw
(K)
582.1
601.0
612.4
619.5
632.6
612.6
647.1
661.6
13650.2
14161.8
14543.5
14963.8
15739.2
16251.5
16658.6
16906.9
13659.4
14188.8
14596.4
15002.5
15830.9
16358.9
16767.4
17036.6
13654.9
14172.8
14544.9
14969.2
15766.3
16272.3
16684.5
16950.3
H.R. q''
2
(W/m )
13736.7
14260.6
14651.2
15054.1
15873.9
16383.3
16798.8
17068.7
501.7
512.1
520.3
529.5
547.3
559.5
569.4
575.5
501.4
511.9
520.3
528.9
547.3
559.5
569.1
575.5
501.7
512.1
520.0
529.2
547.3
559.2
569.1
575.5
Tcl
(K)
501.4
511.9
520.0
528.6
547.0
558.9
568.8
575.2
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
515.2
526.8
534.9
543.8
561.5
568.7
582.9
590.3
515.5
527.0
535.3
543.8
560.7
568.9
582.9
591.3
515.1
525.9
533.9
542.4
561.3
568.4
582.4
590.3
Tbulk
(K)
514.9
526.7
535.4
543.8
561.3
567.8
581.8
589.6
12622
12288
12065
11830
11385
11214
10892
10730
12614
12284
12055
11831
11405
11210
10891
10709
12627
12315
12094
11867
11390
11223
10901
10729
12633
12292
12053
11830
11392
11235
10916
10745
Re (z)
201.44
192.76
198.33
209.78
221.07
352.73
247.18
229.00
194.02
187.68
193.99
202.34
235.71
348.45
241.88
216.60
203.86
206.27
209.22
227.43
224.48
354.67
249.56
229.09
h (z)
2
(W/m -K)
204.33
192.11
190.31
198.74
222.62
365.75
257.40
237.23
Table SC-3180-C.1: Summary of Steam Cooling Data (cont.)
8.68
8.17
8.41
8.94
9.43
16.99
10.70
9.73
8.29
7.91
8.18
8.55
10.16
16.65
10.39
9.08
8.80
8.86
8.96
9.86
9.59
17.11
10.82
9.72
±σhtc
(W/m2-K)
8.81
8.11
7.98
8.36
9.47
17.78
11.16
10.11
4.31%
4.24%
4.24%
4.26%
4.26%
4.82%
4.33%
4.25%
4.27%
4.21%
4.22%
4.23%
4.31%
4.78%
4.30%
4.19%
4.32%
4.29%
4.28%
4.33%
4.27%
4.82%
4.34%
4.24%
Fractional
Uncertainty
4.31%
4.22%
4.20%
4.21%
4.25%
4.86%
4.34%
4.26%
62.03
57.71
58.22
60.28
60.86
95.45
64.68
58.89
59.71
56.16
56.89
58.14
65.02
94.26
63.29
55.58
62.80
61.89
61.57
65.56
61.83
96.06
65.37
58.91
62.98
57.53
55.80
57.10
61.33
99.19
67.53
61.11
Nu(z)
RBHT Steam Cooling Test SC-3205-A
Matrix test # 6
Test date – 4/14/2005
Steady state time window: 10680 - 12000 sec
Inlet flow: 2.26 m3/min (79.9 ft3/min)
Inlet steam temperature: 407 K (273 °F)
Upper plenum pressure: 271.7 kPa (39.4 psia)
Bundle power: 50.1 kW
Outlet steam temperature: 810 K (999 °F)
Bundle inlet Reynolds number: 9145
Subchannel Centerline Temperatures
The equations below were correlated using the axial subchannel centerline temperature
distribution.
Subchannels D5 and E5 (use for inner 3x3 rod bundle thermocouple locations)
Tcl = -26.873x3 + 174.62x2 - 204.99x + 539.89
Subchannel C5 (use for 5x5 peripheral rod bundle thermocouple locations)
Tcl = -19.366x3 + 133.36x2 - 150.05x + 521.57
where x is the elevation (m) and Tcl is in (K)
A-159
A-160
A-161
A-162
A-163
A-164
Subchannels D5 and E5 Axial Temperature Profile
y = -26.873x 3 + 174.62x 2 - 204.99x + 539.89
850
800
Temperature (deg K)
750
700
650
600
550
500
450
400
0
0.5
1
1.5
2
2.5
3
3.5
4
3.5
4
Elevation (m)
Subchannel C5 Axial Temperature Profile
y = -19.366x 3 + 133.36x 2 - 150.05x + 521.57
850
800
Temperature (deg K)
750
700
650
600
550
500
450
400
0
0.5
1
1.5
2
Elevation (m)
A-165
2.5
3
A-166
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
201
202
204
205
208
193
194
195
196
197
198
199
200
RodD4_88.3
RodD4_91.3
RodD4_93.2
RodD4_95.2
RodD4_100.1
RodD4_106.1
RodD4_110
RodD4_142.1
RodE4_88.4
RodE4_91.2
RodE4_95.3
RodE4_100.9
RodE4_142.3
RodE3_63.4
RodE3_113.6
RodE3_115.5
RodE3_118.5
RodE3_122.7
RodE3_126.5
RodE3_131.7
RodE3_135.6
1.610
2.885
2.934
3.010
3.117
3.213
3.345
3.444
2.245
2.316
2.421
2.563
3.614
2.243
2.319
2.367
2.418
2.543
2.695
2.794
3.609
2.245
2.314
2.372
2.421
2.543
2.695
2.794
3.612
Channel Elevation
Number
(m)
185
2.243
186
2.319
187
2.365
188
2.421
189
2.543
190
2.695
191
2.794
192
3.609
RodC4_88.4
RodC4_91.1
RodC4_93.4
RodC4_95.3
RodC4_100.1
RodC4_106.1
RodC4_110
RodC4_142.2
H.R.
Location
RodD3_88.3
RodD3_91.3
RodD3_93.1
RodD3_95.3
RodD3_100.1
RodD3_106.1
RodD3_110
RodD3_142.1
0.417
0.022
0.070
0.146
0.253
0.349
-0.046
0.053
-0.003
0.069
0.173
0.315
0.224
-0.005
0.071
0.119
0.170
0.295
0.447
0.546
0.218
-0.003
0.066
0.124
0.173
0.295
0.447
0.546
0.221
Zgrid
(m)
-0.005
0.071
0.117
0.173
0.295
0.447
0.546
0.218
843.5
818.3
822.8
832.6
844.2
851.6
851.0
828.4
837.3
707.9
740.9
806.5
856.5
712.3
747.9
766.6
781.7
811.3
825.2
807.9
854.3
715.4
750.6
767.4
781.0
805.0
823.9
804.9
859.3
H.R.Tw
(K)
762.9
707.6
746.9
763.9
810.8
831.7
813.5
843.1
10984.3
13559.4
13063.4
12259.8
11143.6
10132.3
8750.6
7718.6
13272.8
13545.2
13923.5
14424.6
5498.0
13494.8
13785.2
13966.3
14155.2
14617.9
15193.4
14671.2
5432.2
13543.1
13805.3
14026.9
14207.3
14609.9
15251.6
14774.5
5613.5
H.R. q''
(W/m2)
13372.6
13672.7
13842.9
14048.5
14468.9
15076.1
14895.3
5168.6
550.4
756.7
762.9
772.1
783.7
792.6
802.3
807.4
655.8
668.0
685.7
709.1
811.3
655.3
668.5
676.7
685.3
705.9
729.7
744.2
811.3
655.8
667.6
677.6
685.7
705.9
729.7
744.2
811.3
Tcl
(K)
655.3
668.5
676.3
685.7
705.9
729.7
744.2
811.3
1.20
1.20
1.27
1.27
1.27
1.27
1.27
1.27
1.20
1.20
1.20
1.20
1.27
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.27
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.27
Correction
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.27
599.3
767.0
775.7
785.1
796.6
805.2
812.7
811.9
686.0
674.7
694.9
725.4
821.0
664.8
681.7
691.7
701.4
723.4
745.6
754.8
820.5
665.7
681.4
692.5
701.6
722.4
745.4
754.3
821.6
Tbulk
(K)
673.3
675.0
688.0
698.7
723.3
746.7
755.7
818.1
6642
5009
4946
4881
4803
4747
4699
4705
5679
5788
5596
5331
4648
5887
5720
5626
5538
5347
5169
5099
4651
5878
5723
5618
5536
5356
5170
5102
4644
5802
5785
5660
5561
5348
5160
5092
4665
Re (z)
Table SC-3205-A.1: Summary of Steam Cooling Data
44.97
263.98
277.26
258.01
234.13
218.67
228.75
467.76
87.75
407.32
302.54
177.67
154.90
284.54
208.34
186.37
176.17
166.28
190.88
276.40
160.79
272.46
199.64
187.42
178.89
176.82
194.29
292.16
148.76
h (z)
(W/m2-K)
149.18
419.06
235.36
215.64
165.50
177.46
258.04
207.05
1.92
13.22
16.77
15.57
14.11
13.23
14.50
44.51
3.80
24.13
15.69
8.11
10.10
14.55
9.78
8.55
8.00
7.46
8.68
13.68
10.69
13.72
9.28
8.60
8.13
8.00
8.84
14.64
9.50
±σhtc
(W/m2-K)
6.70
25.02
11.36
10.18
7.46
8.02
12.45
15.67
4.26%
5.01%
6.05%
6.03%
6.02%
6.05%
6.34%
9.52%
4.33%
5.92%
5.19%
4.56%
6.52%
5.11%
4.69%
4.59%
4.54%
4.49%
4.55%
4.95%
6.65%
5.03%
4.65%
4.59%
4.55%
4.53%
4.55%
5.01%
6.39%
Fractional
Uncertainty
4.49%
5.97%
4.83%
4.72%
4.51%
4.52%
4.82%
7.57%
11.37
46.83
48.38
44.25
39.31
36.15
37.32
76.42
18.29
86.97
61.90
34.17
24.90
62.06
43.83
38.39
35.57
32.10
35.28
50.18
25.87
59.31
42.02
38.54
36.10
34.21
35.92
53.09
23.89
31.95
89.42
48.86
43.77
31.96
32.73
46.76
33.45
Nu(z)
A-167
209
210
211
212
213
214
215
216
177
178
179
180
181
182
183
217
218
219
220
221
222
223
224
RodC3_79.8
RodC3_85.6
RodC3_88.5
RodC3_92.4
RodC3_94.4
RodC3_97.2
RodC3_108.8
RodD5_50
RodD5_54.1
RodD5_56.9
RodD5_60
RodD5_66.1
RodD5_69.9
RodD5_72.9
RodD5_74.9
1.270
1.374
1.445
1.524
1.679
1.775
1.852
1.902
2.027
2.174
2.248
2.347
2.398
2.469
2.764
1.615
2.885
2.931
3.015
3.114
3.216
3.343
3.444
Channel Elevation
Number
(m)
225
1.618
226
2.885
227
2.939
229
3.117
230
3.218
231
3.343
232
3.447
RodE5_63.6
RodE5_113.6
RodE5_115.4
RodE5_118.7
RodE5_122.6
RodE5_126.6
RodE5_131.6
RodE5_135.6
H.R.
Location
RodC5_63.7
RodC5_113.6
RodC5_115.7
RodC5_122.7
RodC5_126.7
RodC5_131.6
RodC5_135.7
0.076
0.180
0.251
0.330
0.485
-0.025
0.051
0.102
0.227
0.374
0.000
0.099
0.150
0.221
0.516
0.422
0.022
0.067
0.151
0.250
0.352
-0.048
0.053
Zgrid
(m)
0.424
0.022
0.075
0.253
0.354
-0.048
0.056
591.7
616.4
629.6
639.1
653.7
632.0
667.5
685.2
672.9
695.3
702.0
708.1
750.6
781.7
821.0
640.9
810.0
821.2
828.7
837.1
840.2
819.0
833.5
H.R.Tw
(K)
650.8
816.9
835.3
856.1
855.3
833.9
846.8
9770.5
10155.7
10418.6
10711.0
11283.1
11638.9
11920.4
12107.8
12510.2
13052.9
13328.0
13692.6
13878.1
14129.9
14918.2
11060.3
13638.8
13169.2
12307.3
11284.9
10236.9
8933.4
7888.4
H.R. q''
2
(W/m )
10784.9
13225.6
12695.5
10928.2
9916.7
8683.5
7646.3
506.2
518.2
527.2
537.9
560.8
576.0
588.4
596.9
618.0
643.5
656.2
673.2
681.9
693.8
739.8
551.2
756.7
762.6
772.7
783.4
792.8
802.1
807.4
Tcl
(K)
551.5
756.7
763.5
783.7
793.0
802.1
807.5
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.27
1.27
1.27
1.27
1.27
1.27
Correction
Factor
1.20
1.20
1.27
1.27
1.27
1.27
1.27
520.4
534.6
544.3
554.8
576.3
585.3
601.6
611.6
627.2
652.1
663.9
679.0
693.3
708.4
753.4
566.1
765.6
775.1
784.7
794.9
803.0
805.7
813.0
Tbulk
(K)
568.1
766.7
778.9
799.2
806.4
808.9
815.9
7850
7602
7441
7274
6954
6827
6611
6485
6297
6019
5897
5746
5611
5475
5110
7102
5019
4950
4884
4815
4762
4744
4698
7073
5011
4924
4786
4740
4723
4679
Re (z)
137.07
124.12
122.20
127.03
145.72
249.14
180.84
164.58
273.60
301.97
349.31
472.02
242.21
192.91
220.58
147.91
307.02
286.07
279.87
267.24
274.77
672.13
384.06
h (z)
(W/m2-K)
130.34
263.61
225.15
191.92
202.69
347.62
247.46
Table SC-3205-A.1: Summary of Steam Cooling Data (cont.)
6.35
5.63
5.51
5.74
6.68
12.76
8.52
7.60
14.21
15.99
19.43
30.03
11.78
8.93
10.35
6.79
16.08
17.36
17.15
16.51
17.54
74.88
31.74
±σhtc
(W/m2-K)
5.96
13.38
13.24
11.24
12.17
25.98
16.83
4.63%
4.53%
4.51%
4.52%
4.58%
5.12%
4.71%
4.62%
5.19%
5.30%
5.56%
6.36%
4.87%
4.63%
4.69%
4.59%
5.24%
6.07%
6.13%
6.18%
6.38%
11.14%
8.26%
Fractional
Uncertainty
4.58%
5.08%
5.88%
5.86%
6.00%
7.47%
6.80%
42.07
36.75
35.32
35.77
38.93
65.13
45.48
40.44
64.87
67.71
76.34
99.86
49.72
38.39
40.16
40.50
54.61
49.98
48.03
45.01
45.61
111.02
62.62
35.52
46.79
39.06
32.08
33.44
57.09
40.14
Nu(z)
A-168
105
106
107
108
109
110
111
112
57
58
59
60
61
62
63
64
137
138
139
140
141
142
143
144
RodC2_41
RodC2_53.1
RodC2_55
RodC2_57.8
RodC2_63.9
RodC2_73.8
RodC2_75.8
RodC2_76.8
RodC6_40.9
RodC6_52.8
RodC6_54.8
RodC6_57.8
RodC6_63.8
RodC6_73.7
RodC6_75.8
RodC6_76.8
1.039
1.341
1.392
1.468
1.621
1.872
1.925
1.951
1.041
1.349
1.397
1.468
1.623
1.875
1.925
1.951
1.041
1.349
1.397
1.468
1.626
1.875
1.925
1.951
Channel Elevation
Number
(m)
153
1.041
154
1.344
155
1.397
156
1.468
157
1.626
158
1.877
159
1.928
160
1.953
RodF5_41
RodF5_53.1
RodF5_55
RodF5_57.8
RodF5_64
RodF5_73.8
RodF5_75.8
RodF5_76.8
H.R.
Location
RodB5_41
RodB5_52.9
RodB5_55
RodB5_57.8
RodB5_64
RodB5_73.9
RodB5_75.9
RodB5_76.9
0.340
0.147
0.198
0.274
0.427
0.072
0.125
0.150
0.343
0.155
0.203
0.274
0.429
0.074
0.125
0.150
0.343
0.155
0.203
0.274
0.432
0.074
0.125
0.150
Zgrid
(m)
0.343
0.150
0.203
0.274
0.432
0.077
0.128
0.153
566.5
610.3
619.7
632.3
648.3
676.8
688.4
695.5
562.7
605.5
613.5
625.4
639.5
661.8
673.8
678.5
562.3
602.2
610.5
620.0
635.0
659.5
674.3
680.0
H.R.Tw
(K)
569.6
611.7
620.5
632.3
648.2
677.0
691.6
697.6
8819.4
9995.7
10192.8
10489.3
11082.6
12061.6
12268.6
12367.5
8863.1
10009.6
10189.0
10453.8
11031.8
11971.0
12161.1
12256.0
8821.2
9968.2
10147.9
10413.4
11000.6
11932.4
12121.7
12216.7
H.R. q''
2
(W/m )
8877.5
10004.9
10203.6
10469.8
11056.1
11995.7
12185.3
12280.0
487.9
513.5
518.9
527.4
546.2
581.0
588.8
592.6
488.1
514.3
519.4
527.4
546.5
581.3
588.8
592.6
488.1
514.3
519.4
527.4
546.9
581.3
588.8
592.6
Tcl
(K)
488.1
513.8
519.4
527.4
546.9
581.7
589.2
593.0
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
501.0
529.6
535.7
544.9
563.2
596.9
605.4
609.7
500.5
529.5
535.1
543.8
562.0
594.8
603.0
606.9
500.4
528.9
534.6
542.9
561.6
594.4
603.1
607.2
Tbulk
(K)
501.7
530.1
536.3
544.9
563.8
597.6
606.3
610.4
8215
7687
7583
7431
7145
6672
6562
6508
8225
7690
7593
7449
7163
6700
6593
6543
8226
7699
7602
7464
7170
6705
6592
6540
8202
7679
7574
7431
7137
6663
6552
6500
Re (z)
134.68
123.85
121.25
120.01
130.22
151.08
147.77
144.27
142.49
131.72
129.97
128.02
142.46
178.57
171.75
171.10
142.63
136.04
133.66
135.07
149.80
183.13
170.22
167.77
h (z)
2
(W/m -K)
130.62
122.59
121.17
119.82
130.95
151.15
142.72
140.85
Table SC-3205-A.1: Summary of Steam Cooling Data (cont.)
6.35
5.63
5.48
5.40
5.88
6.88
6.69
6.50
6.78
6.05
5.94
5.81
6.52
8.39
7.99
7.94
6.81
6.29
6.14
6.19
6.92
8.66
7.92
7.78
±σhtc
(W/m2-K)
6.11
5.57
5.48
5.39
5.93
6.90
6.45
6.35
4.72%
4.55%
4.52%
4.50%
4.52%
4.55%
4.53%
4.51%
4.76%
4.59%
4.57%
4.54%
4.58%
4.70%
4.65%
4.64%
4.77%
4.62%
4.60%
4.58%
4.62%
4.73%
4.65%
4.63%
Fractional
Uncertainty
4.68%
4.54%
4.52%
4.50%
4.53%
4.57%
4.52%
4.51%
43.43
37.14
35.81
34.63
35.91
38.42
36.84
35.60
46.01
39.51
38.44
37.05
39.40
45.64
43.06
42.50
46.06
40.86
39.58
39.18
41.48
46.85
42.67
41.65
42.05
36.72
35.73
34.57
36.07
38.38
35.51
34.70
Nu(z)
A-169
98
99
100
101
102
103
104
65
66
67
68
69
70
71
72
129
130
131
132
133
134
135
136
RodD2_103.2
RodD2_106
RodD2_112.6
RodD2_114.9
RodD2_117.4
RodD2_120.8
RodD2_124.8
RodD2_128.6
RodD6_103.1
RodD6_106
RodD6_112.9
RodD6_114.9
RodD6_116.8
RodD6_120.9
RodD6_124.8
RodD6_128.7
2.619
2.692
2.868
2.918
2.967
3.071
3.170
3.269
2.621
2.692
2.860
2.918
2.982
3.068
3.170
3.266
2.174
2.245
2.347
2.395
2.469
2.764
2.819
Channel Elevation
Number
(m)
161
2.245
162
2.319
163
2.370
164
2.416
165
2.540
166
2.692
167
2.791
168
3.614
RodF4_85.6
RodF4_88.4
RodF4_92.4
RodF4_94.3
RodF4_97.2
RodF4_108.8
RodF4_111
H.R.
Location
RodB4_88.4
RodB4_91.3
RodB4_93.3
RodB4_95.1
RodB4_100
RodB4_106
RodB4_109.9
RodB4_142.3
0.371
0.445
0.004
0.055
0.103
0.207
0.306
0.405
0.373
0.445
-0.004
0.055
0.118
0.204
0.306
0.403
0.374
-0.003
0.099
0.147
0.221
0.516
-0.044
Zgrid
(m)
-0.003
0.071
0.122
0.168
0.292
0.445
0.544
1.367
796.8
805.0
796.6
814.9
824.9
833.4
836.3
835.5
797.4
806.1
791.9
812.3
821.4
832.0
834.7
833.3
695.8
700.4
742.2
756.3
774.1
806.8
783.9
H.R.Tw
(K)
709.8
746.6
761.7
774.2
795.1
818.3
797.8
304.3
14843.5
15116.7
13789.2
13222.6
12684.0
11523.1
10418.9
9316.4
14832.6
15095.7
13846.3
13200.8
12499.8
11543.5
10421.4
9358.6
13096.3
13356.9
13730.7
13908.7
14181.3
14971.2
14357.8
H.R. q''
(W/m2)
13268.3
13532.2
13714.6
13878.0
14255.4
14885.0
14412.3
5602.0
695.4
706.3
731.3
738.1
744.5
757.6
769.1
779.7
695.8
706.3
730.2
738.1
746.5
757.3
769.1
779.4
626.7
637.8
653.6
661.2
672.6
716.7
724.6
Tcl
(K)
637.8
649.3
657.2
664.3
683.5
706.3
720.6
807.0
1.20
1.20
1.20
1.20
1.20
1.27
1.27
1.27
1.20
1.20
1.20
1.20
1.20
1.27
1.27
1.27
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
712.3
722.8
742.2
750.9
757.9
773.8
783.5
791.6
712.7
723.0
740.5
750.5
759.0
773.3
783.2
791.0
638.2
648.2
668.4
677.0
689.5
731.7
734.5
Tbulk
(K)
649.8
665.5
674.6
682.6
702.1
725.0
733.5
723.2
5442
5353
5196
5128
5075
4960
4892
4837
5438
5351
5209
5131
5068
4964
4894
4841
6171
6061
5851
5766
5647
5279
5257
6044
5880
5789
5711
5531
5334
5265
5349
Re (z)
175.66
183.91
253.47
206.66
189.24
193.35
197.32
212.46
175.16
181.64
269.58
213.70
200.13
196.66
202.13
220.85
227.43
255.81
186.01
175.45
167.66
199.28
290.41
h (z)
(W/m2-K)
221.10
166.78
157.49
151.58
153.21
159.53
224.22
-13.37
Table SC-3205-A.1: Summary of Steam Cooling Data (cont.)
7.93
8.34
12.48
9.80
8.89
11.23
11.68
13.07
7.91
8.23
13.49
10.21
9.54
11.45
12.02
13.69
11.04
12.74
8.59
8.01
7.59
9.17
14.69
±σhtc
(W/m2-K)
10.65
7.61
7.12
6.81
6.89
7.16
10.67
0.56
4.52%
4.53%
4.92%
4.74%
4.70%
5.81%
5.92%
6.15%
4.52%
4.53%
5.01%
4.78%
4.77%
5.82%
5.95%
6.20%
4.85%
4.98%
4.62%
4.57%
4.53%
4.60%
5.06%
Fractional
Uncertainty
4.82%
4.56%
4.52%
4.50%
4.50%
4.49%
4.76%
-4.22%
34.68
35.55
47.16
37.80
34.15
33.86
33.94
36.00
34.56
35.10
50.32
39.12
36.05
34.48
34.79
37.47
52.59
57.85
40.26
37.28
34.70
37.85
54.85
49.83
36.32
33.63
31.83
30.89
30.70
42.43
-2.58
Nu(z)
A-170
169
170
171
172
173
174
175
176
89
90
91
92
93
94
95
96
121
122
123
124
125
126
127
128
RodF3_50.1
RodF3_54
RodF3_57
RodF3_60
RodF3_66.1
RodF3_70
RodF3_73
RodF3_75
RodE6_50.2
RodE6_54.1
RodE6_57
RodE6_60.2
RodE6_66.1
RodE6_70
RodE6_73.1
RodE6_75
1.275
1.374
1.448
1.529
1.679
1.778
1.857
1.905
1.273
1.372
1.448
1.524
1.679
1.778
1.854
1.905
1.275
1.374
1.445
1.527
1.679
1.775
1.854
1.905
Channel Elevation
Number
(m)
73
1.273
74
1.372
75
1.445
76
1.521
77
1.676
78
1.773
79
1.852
80
1.902
RodB3_50.2
RodB3_54.1
RodB3_56.9
RodB3_60.1
RodB3_66.1
RodB3_69.9
RodB3_73
RodB3_75
H.R.
Location
RodE2_50.1
RodE2_54
RodE2_56.9
RodE2_59.9
RodE2_66
RodE2_69.8
RodE2_72.9
RodE2_74.9
0.081
0.180
0.254
0.335
0.485
-0.022
0.056
0.105
0.079
0.178
0.254
0.330
0.485
-0.022
0.054
0.105
0.081
0.180
0.251
0.333
0.485
-0.025
0.054
0.105
Zgrid
(m)
0.079
0.178
0.251
0.328
0.483
-0.027
0.051
0.102
584.6
605.8
617.4
626.9
641.5
621.9
654.9
670.5
587.5
609.0
620.1
628.9
636.3
622.6
655.7
673.3
853.3
585.6
601.4
611.7
618.1
643.7
623.9
657.5
H.R.Tw
(K)
583.0
607.0
620.9
632.9
642.5
618.7
651.2
665.1
9743.7
10109.8
10382.0
10682.1
11235.9
11600.4
11890.1
12067.0
9742.2
10119.0
10409.2
10699.0
11290.7
11668.5
11959.0
12152.6
9715.9
10112.2
10375.4
10677.6
11246.1
11607.2
11903.6
12091.8
H.R. q''
2
(W/m )
9803.0
10177.7
10456.4
10743.4
11327.0
11691.2
11985.9
12177.2
506.9
517.0
525.1
534.7
553.9
567.5
578.8
585.8
506.7
516.7
525.1
534.1
553.9
567.5
578.4
585.8
506.9
517.0
524.8
534.4
553.9
567.2
578.4
585.8
Tcl
(K)
506.7
516.7
524.8
533.8
553.6
566.8
578.0
585.4
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
519.9
531.8
540.5
550.1
568.5
576.6
591.5
599.9
520.2
532.1
540.9
549.9
567.6
576.7
591.3
600.4
564.7
528.4
537.6
547.3
564.6
579.9
586.0
597.8
Tbulk
(K)
519.4
531.7
540.8
550.3
568.4
575.5
590.2
598.7
7859
7650
7503
7348
7066
6950
6745
6633
7854
7645
7496
7351
7079
6948
6747
6627
7124
7708
7552
7393
7124
6903
6819
6661
7868
7650
7498
7344
7068
6966
6761
6649
Re (z)
150.50
136.52
135.01
139.07
153.96
255.98
187.46
171.09
144.57
131.58
131.47
135.44
164.52
254.03
185.71
166.73
33.66
176.87
162.53
165.83
210.34
181.97
313.78
202.46
h (z)
2
(W/m -K)
154.17
135.19
130.59
130.04
152.88
270.18
196.68
183.52
Table SC-3205-A.1: Summary of Steam Cooling Data (cont.)
7.10
6.29
6.18
6.37
7.11
13.26
8.91
7.97
6.77
6.02
5.99
6.17
7.66
13.08
8.78
7.71
1.43
8.57
7.69
7.83
10.37
8.61
17.36
9.75
±σhtc
(W/m2-K)
7.28
6.20
5.93
5.88
7.02
14.18
9.40
8.62
4.72%
4.61%
4.58%
4.58%
4.62%
5.18%
4.75%
4.66%
4.68%
4.58%
4.56%
4.56%
4.66%
5.15%
4.73%
4.62%
4.26%
4.85%
4.73%
4.72%
4.93%
4.73%
5.53%
4.81%
Fractional
Uncertainty
4.72%
4.58%
4.54%
4.52%
4.59%
5.25%
4.78%
4.70%
46.26
40.71
39.39
39.62
41.91
68.34
48.29
43.20
44.40
39.21
38.32
38.60
44.88
67.79
47.86
42.05
9.25
53.20
47.77
47.57
57.81
48.19
81.89
51.38
47.44
40.32
38.07
37.03
41.63
72.32
50.82
46.47
Nu(z)
RBHT Steam Cooling Test SC-3205-B
Matrix test # 4
Test date – 3/15/2005
Steady state time window: 13400 - 15000 sec
Inlet flow: 1.36 m3/min (47.9 ft3/min)
Inlet steam temperature: 409 K (276 °F)
Upper plenum pressure: 271.7 kPa (39.4 psia)
Bundle power: 30.1 kW
Outlet steam temperature: 800 K (981 °F)
Bundle inlet Reynolds number: 5420
Subchannel Centerline Temperatures
The equations below were correlated using the axial subchannel centerline temperature
distribution.
Subchannels D5 and E5 (use for inner 3x3 rod bundle thermocouple locations)
Tcl = -16.558x3 + 102.54x2 - 52.216x + 437.53
Subchannel C5 (use for 5x5 peripheral rod bundle thermocouple locations)
Tcl = -10.616x3 + 69.175x2 - 8.02x + 423.94
where x is the elevation (m) and Tcl is in (K)
A-171
A-172
A-173
A-174
A-175
A-176
Subchannels D5 and E5 Axial Temperature Profile
y = -16.558x 3 + 102.54x 2 - 52.216x + 437.53
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
2.5
3
3.5
4
3.5
4
Elevation (m)
Subchannel C5 Axial Temperature Profile
y = -10.616x 3 + 69.175x 2 - 8.02x + 423.94
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
Elevation (m)
A-177
2.5
3
A-178
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
201
202
204
205
208
193
194
195
196
197
198
199
200
RodD4_88.3
RodD4_91.3
RodD4_93.2
RodD4_95.2
RodD4_100.1
RodD4_106.1
RodD4_110
RodD4_142.1
RodE4_88.4
RodE4_91.2
RodE4_95.3
RodE4_100.9
RodE4_142.3
RodE3_63.4
RodE3_113.6
RodE3_115.5
RodE3_118.5
RodE3_122.7
RodE3_126.5
RodE3_131.7
RodE3_135.6
1.610
2.885
2.934
3.010
3.117
3.213
3.345
3.444
2.245
2.316
2.421
2.563
3.614
2.243
2.319
2.367
2.418
2.543
2.695
2.794
3.609
2.245
2.314
2.372
2.421
2.543
2.695
2.794
3.612
Channel Elevation
Number
(m)
185
2.243
186
2.319
187
2.365
188
2.421
189
2.543
190
2.695
191
2.794
192
3.609
RodC4_88.4
RodC4_91.1
RodC4_93.4
RodC4_95.3
RodC4_100.1
RodC4_106.1
RodC4_110
RodC4_142.2
H.R.
Location
RodD3_88.3
RodD3_91.3
RodD3_93.1
RodD3_95.3
RodD3_100.1
RodD3_106.1
RodD3_110
RodD3_142.1
0.417
0.022
0.070
0.146
0.253
0.349
-0.046
0.053
-0.003
0.069
0.173
0.315
0.224
-0.005
0.071
0.119
0.170
0.295
0.447
0.546
0.218
-0.003
0.066
0.124
0.173
0.295
0.447
0.546
0.221
Zgrid
(m)
-0.005
0.071
0.117
0.173
0.295
0.447
0.546
0.218
626.6
788.7
800.1
811.3
820.4
823.0
809.9
814.1
686.3
711.6
741.2
766.5
820.6
690.2
718.1
733.5
746.8
772.1
788.0
778.9
828.6
692.5
719.9
734.8
747.0
771.6
790.4
780.5
832.5
H.R.Tw
(K)
685.5
716.2
731.3
746.7
772.7
793.3
784.3
820.2
6632.2
8175.9
7874.0
7398.3
6731.0
6127.8
5300.0
4677.1
8001.7
8156.5
8381.4
8703.9
3334.8
8118.7
8285.2
8394.8
8503.3
8814.5
9148.4
8833.9
3291.4
8155.6
8311.3
8447.6
8552.6
8903.4
9170.8
8863.2
3407.3
H.R. q''
(W/m2)
8066.2
8243.1
8351.5
8478.6
8786.0
9086.8
8969.9
3149.5
550.2
742.8
748.7
757.8
769.5
779.1
790.4
797.5
649.8
661.0
677.1
698.4
806.5
649.4
661.4
668.9
676.7
695.4
717.4
730.9
806.3
649.8
660.6
669.6
677.1
695.4
717.4
730.9
806.4
Tcl
(K)
649.4
661.4
668.5
677.1
695.4
717.4
730.9
806.3
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
Correction
Factor
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
566.6
752.6
759.7
769.2
780.4
788.5
794.6
801.1
657.6
671.8
690.8
713.0
809.5
658.1
673.5
682.7
691.7
711.9
732.5
741.2
811.0
658.9
673.3
683.6
692.0
711.8
733.0
741.5
812.0
Tbulk
(K)
657.1
673.1
681.9
692.0
712.0
733.6
742.3
809.2
4228
3049
3017
2975
2928
2895
2871
2845
3553
3467
3358
3239
2813
3549
3456
3403
3353
3245
3142
3101
2807
3544
3458
3398
3351
3246
3140
3099
2803
3556
3459
3408
3351
3245
3137
3096
2814
Re (z)
Table SC-3205-B.1: Summary of Steam Cooling Data
110.44
226.64
194.95
175.74
168.25
177.55
346.16
358.38
278.94
204.87
166.29
162.68
300.07
252.87
185.67
165.34
154.33
146.37
164.82
234.18
187.68
243.04
178.36
165.07
155.73
148.82
159.92
227.52
165.75
h (z)
(W/m2-K)
284.42
191.15
169.22
155.01
144.76
152.42
213.87
286.31
7.43
16.62
13.93
12.44
12.00
13.08
36.59
42.18
21.88
14.72
11.48
11.14
40.02
19.06
12.99
11.33
10.47
9.82
11.16
16.96
18.47
18.07
12.36
11.28
10.55
9.95
10.78
16.34
14.86
±σhtc
(W/m2-K)
22.34
13.48
11.67
10.54
9.71
10.27
15.07
38.77
6.73%
7.33%
7.15%
7.08%
7.13%
7.37%
10.57%
11.77%
7.84%
7.19%
6.90%
6.85%
13.34%
7.54%
6.99%
6.85%
6.78%
6.71%
6.77%
7.24%
9.84%
7.44%
6.93%
6.83%
6.77%
6.68%
6.74%
7.18%
8.96%
Fractional
Uncertainty
7.85%
7.05%
6.89%
6.80%
6.71%
6.74%
7.05%
13.54%
30.21
41.32
35.06
31.04
29.11
30.26
58.34
59.70
61.80
44.02
34.32
32.07
49.23
55.96
39.75
34.71
31.79
28.93
31.25
43.65
30.71
53.69
38.20
34.59
32.06
29.42
30.29
42.38
27.07
63.08
40.95
35.58
31.91
28.60
28.84
39.78
46.99
Nu(z)
A-179
209
210
211
212
213
214
215
216
177
178
179
180
181
182
183
217
218
219
220
221
222
223
224
RodC3_79.8
RodC3_85.6
RodC3_88.5
RodC3_92.4
RodC3_94.4
RodC3_97.2
RodC3_108.8
RodD5_50
RodD5_54.1
RodD5_56.9
RodD5_60
RodD5_66.1
RodD5_69.9
RodD5_72.9
RodD5_74.9
1.270
1.374
1.445
1.524
1.679
1.775
1.852
1.902
2.027
2.174
2.248
2.347
2.398
2.469
2.764
1.615
2.885
2.931
3.015
3.114
3.216
3.343
3.444
Channel Elevation
Number
(m)
225
1.618
226
2.885
227
2.939
229
3.117
230
3.218
231
3.343
232
3.447
RodE5_63.6
RodE5_113.6
RodE5_115.4
RodE5_118.7
RodE5_122.6
RodE5_126.6
RodE5_131.6
RodE5_135.6
H.R.
Location
RodC5_63.7
RodC5_113.6
RodC5_115.7
RodC5_122.7
RodC5_126.7
RodC5_131.6
RodC5_135.7
0.076
0.180
0.251
0.330
0.485
-0.025
0.051
0.102
0.227
0.374
0.000
0.099
0.150
0.221
0.516
0.422
0.022
0.067
0.151
0.250
0.352
-0.048
0.053
Zgrid
(m)
0.424
0.022
0.075
0.253
0.354
-0.048
0.056
571.6
594.2
606.3
617.7
631.6
615.9
643.3
657.9
673.3
682.1
686.0
719.8
731.0
748.1
788.0
618.4
775.0
785.2
794.7
803.6
809.2
799.8
806.7
H.R.Tw
(K)
632.8
785.6
800.3
821.2
824.3
812.5
820.3
5884.5
6115.5
6273.2
6449.3
6795.6
7010.3
7180.5
7293.3
7539.5
7870.5
8034.1
8255.1
8374.0
8543.7
8967.5
6664.2
8228.7
7946.0
7429.7
6818.8
6190.7
5409.4
4777.0
H.R. q''
(W/m2)
6505.3
7959.3
7643.5
6586.1
5983.3
5244.4
4626.4
502.7
516.4
526.2
537.5
560.5
575.4
587.3
595.3
615.1
638.5
650.2
665.7
673.6
684.4
726.8
551.0
742.8
748.4
758.3
769.2
779.3
790.2
797.5
Tcl
(K)
551.3
742.8
749.4
769.5
779.5
790.2
797.7
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
Correction
Factor
1.27
1.27
1.27
1.27
1.27
1.27
1.27
517.4
533.1
543.4
554.7
575.8
584.1
599.3
608.7
627.5
647.8
657.8
677.3
685.9
698.0
739.9
565.4
749.7
756.3
766.1
776.6
785.7
792.3
799.5
Tbulk
(K)
568.8
751.9
760.3
780.6
789.1
795.0
802.5
4710
4546
4443
4336
4149
4079
3958
3886
3751
3614
3551
3434
3385
3318
3107
4239
3062
3032
2989
2944
2906
2880
2851
4209
3052
3014
2928
2892
2869
2840
Re (z)
108.58
100.08
99.65
102.35
121.58
219.81
163.20
148.20
164.85
229.98
285.78
194.22
185.44
170.85
186.51
125.66
324.74
275.19
260.12
252.14
263.28
717.10
663.39
h (z)
(W/m2-K)
101.62
236.67
190.98
162.04
170.02
299.44
260.43
Table SC-3205-B.1: Summary of Steam Cooling Data (cont.)
7.39
6.72
6.67
6.85
8.24
16.56
11.44
10.24
11.53
17.10
22.55
13.76
13.00
11.78
12.94
8.57
26.56
21.45
20.31
20.02
22.06
131.48
126.67
±σhtc
(W/m2-K)
6.86
17.83
13.80
11.61
12.54
29.22
25.12
6.80%
6.71%
6.70%
6.70%
6.78%
7.53%
7.01%
6.91%
7.00%
7.44%
7.89%
7.09%
7.01%
6.89%
6.94%
6.82%
8.18%
7.79%
7.81%
7.94%
8.38%
18.34%
19.09%
Fractional
Uncertainty
6.75%
7.53%
7.23%
7.17%
7.37%
9.76%
9.65%
33.58
29.75
28.87
28.83
32.52
57.64
41.28
36.66
39.05
52.06
63.28
41.24
38.67
34.73
34.85
34.47
59.54
49.82
46.22
43.93
45.10
121.37
110.83
27.65
43.21
34.31
28.02
28.94
50.43
43.27
Nu(z)
A-180
105
106
107
108
109
110
111
112
57
58
59
60
61
62
63
64
137
138
139
140
141
142
143
144
RodC2_41
RodC2_53.1
RodC2_55
RodC2_57.8
RodC2_63.9
RodC2_73.8
RodC2_75.8
RodC2_76.8
RodC6_40.9
RodC6_52.8
RodC6_54.8
RodC6_57.8
RodC6_63.8
RodC6_73.7
RodC6_75.8
RodC6_76.8
1.039
1.341
1.392
1.468
1.621
1.872
1.925
1.951
1.041
1.349
1.397
1.468
1.623
1.875
1.925
1.951
1.041
1.349
1.397
1.468
1.626
1.875
1.925
1.951
Channel Elevation
Number
(m)
153
1.041
154
1.344
155
1.397
156
1.468
157
1.626
158
1.877
159
1.928
160
1.953
RodF5_41
RodF5_53.1
RodF5_55
RodF5_57.8
RodF5_64
RodF5_73.8
RodF5_75.8
RodF5_76.8
H.R.
Location
RodB5_41
RodB5_52.9
RodB5_55
RodB5_57.8
RodB5_64
RodB5_73.9
RodB5_75.9
RodB5_76.9
0.340
0.147
0.198
0.274
0.427
0.072
0.125
0.150
0.343
0.155
0.203
0.274
0.429
0.074
0.125
0.150
0.343
0.155
0.203
0.274
0.432
0.074
0.125
0.150
Zgrid
(m)
0.343
0.150
0.203
0.274
0.432
0.077
0.128
0.153
556.9
591.3
600.8
613.4
631.4
652.8
664.3
670.6
551.5
588.6
596.9
608.8
625.3
637.0
647.2
651.4
551.9
583.7
592.7
603.7
620.4
635.9
648.6
653.9
H.R.Tw
(K)
555.6
589.5
597.5
609.4
629.2
651.8
664.7
669.9
5316.6
6024.9
6145.2
6324.0
6681.5
7269.3
7394.7
7454.3
5342.5
6031.2
6139.5
6299.0
6646.5
7211.4
7326.7
7384.0
5320.8
6009.1
6117.4
6277.2
6631.3
7190.2
7304.3
7361.1
H.R. q''
2
(W/m )
5353.5
6031.9
6151.1
6310.8
6665.8
7228.2
7341.7
7399.4
478.4
512.0
518.2
527.7
547.4
581.7
589.1
592.7
478.6
512.9
518.8
527.7
547.8
582.0
589.1
592.7
478.6
512.9
518.8
527.7
548.1
582.0
589.1
592.7
Tcl
(K)
478.6
512.3
518.8
527.7
548.1
582.4
589.5
593.1
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
Correction
Factor
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
495.2
529.0
535.9
546.0
565.4
596.9
605.2
609.4
494.2
529.1
535.5
545.0
564.4
593.8
601.6
605.3
494.3
528.1
534.6
544.0
563.6
593.6
601.9
605.8
Tbulk
(K)
495.1
528.8
535.6
545.2
565.5
597.3
605.6
609.5
4965
4588
4517
4418
4239
3976
3912
3881
4976
4586
4521
4427
4248
4001
3940
3912
4975
4597
4530
4438
4255
4002
3938
3908
4966
4589
4520
4426
4238
3974
3909
3880
Re (z)
86.18
96.64
94.59
93.82
101.22
130.08
125.24
121.72
93.27
101.36
100.05
98.85
109.10
167.05
160.72
160.22
92.44
108.08
105.30
105.03
116.76
169.82
156.34
152.99
h (z)
(W/m2-K)
88.48
99.38
99.49
98.24
104.60
132.51
124.27
122.53
Table SC-3205-B.1: Summary of Steam Cooling Data (cont.)
5.80
6.48
6.32
6.25
6.74
8.81
8.43
8.16
6.32
6.84
6.73
6.62
7.34
11.76
11.21
11.19
6.27
7.35
7.13
7.09
7.92
12.01
10.91
10.62
±σhtc
(W/m2-K)
5.96
6.69
6.68
6.57
7.00
9.03
8.39
8.25
6.74%
6.71%
6.68%
6.66%
6.66%
6.78%
6.73%
6.71%
6.78%
6.75%
6.72%
6.70%
6.73%
7.04%
6.98%
6.98%
6.78%
6.81%
6.77%
6.75%
6.78%
7.07%
6.98%
6.94%
Fractional
Uncertainty
6.73%
6.73%
6.71%
6.69%
6.69%
6.81%
6.75%
6.74%
28.21
29.03
27.92
27.00
27.77
33.08
31.23
30.06
30.61
30.43
29.56
28.52
30.00
42.80
40.43
39.95
30.33
32.54
31.18
30.38
32.17
43.53
39.30
38.10
28.97
29.86
29.38
28.33
28.69
33.67
30.96
30.25
Nu(z)
A-181
98
99
100
101
102
103
104
65
66
67
68
69
70
71
72
129
130
131
132
133
134
135
136
RodD2_103.2
RodD2_106
RodD2_112.6
RodD2_114.9
RodD2_117.4
RodD2_120.8
RodD2_124.8
RodD2_128.6
RodD6_103.1
RodD6_106
RodD6_112.9
RodD6_114.9
RodD6_116.8
RodD6_120.9
RodD6_124.8
RodD6_128.7
2.619
2.692
2.868
2.918
2.967
3.071
3.170
3.269
2.621
2.692
2.860
2.918
2.982
3.068
3.170
3.266
2.174
2.245
2.347
2.395
2.469
2.764
2.819
Channel Elevation
Number
(m)
161
2.245
162
2.319
163
2.370
164
2.416
165
2.540
166
2.692
167
2.791
168
3.614
RodF4_85.6
RodF4_88.4
RodF4_92.4
RodF4_94.3
RodF4_97.2
RodF4_108.8
RodF4_111
H.R.
Location
RodB4_88.4
RodB4_91.3
RodB4_93.3
RodB4_95.1
RodB4_100
RodB4_106
RodB4_109.9
RodB4_142.3
0.371
0.445
0.004
0.055
0.103
0.207
0.306
0.405
0.373
0.445
-0.004
0.055
0.118
0.204
0.306
0.403
0.374
-0.003
0.099
0.147
0.221
0.516
-0.044
Zgrid
(m)
-0.003
0.071
0.122
0.168
0.292
0.445
0.544
0.224
763.3
771.9
767.4
781.9
791.7
800.5
805.5
806.6
762.2
772.6
763.8
780.8
789.0
800.3
806.4
807.4
674.1
677.9
712.4
725.2
741.7
774.7
764.5
H.R.Tw
(K)
687.6
717.3
730.9
741.5
760.7
782.9
773.8
826.3
8941.0
9106.1
8313.1
7973.4
7650.5
6956.0
6295.1
5631.5
8923.3
9084.9
8338.0
7955.7
7537.2
6970.2
6301.0
5663.7
7898.8
8056.2
8281.0
8388.2
8553.6
9037.2
8671.7
H.R. q''
(W/m2)
8004.2
8170.4
8282.9
8384.9
8688.0
8974.9
8670.4
3386.5
686.7
696.6
719.4
725.8
731.8
744.2
755.5
766.1
687.0
696.6
718.5
725.8
733.6
743.9
755.5
765.8
624.4
634.5
648.9
655.7
666.0
706.0
713.3
Tcl
(K)
634.5
645.0
652.1
658.6
675.9
696.6
709.7
797.4
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
Correction
Factor
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
703.1
712.7
729.7
737.8
744.6
756.3
766.2
774.8
703.1
712.9
728.2
737.6
745.5
756.0
766.4
774.7
635.0
643.8
662.5
670.6
682.2
720.7
724.2
Tbulk
(K)
645.9
660.5
669.0
676.3
694.0
715.1
723.4
803.6
3291
3241
3156
3117
3085
3032
2988
2952
3291
3240
3163
3118
3081
3033
2988
2952
3699
3641
3522
3474
3406
3200
3183
3627
3535
3483
3440
3340
3229
3187
2835
Re (z)
148.47
153.77
220.79
180.79
162.48
157.37
160.11
176.92
151.01
152.11
234.29
184.24
173.23
157.39
157.39
173.42
202.31
236.48
165.93
153.64
143.89
167.37
215.48
h (z)
2
(W/m -K)
191.79
143.62
133.79
128.69
130.35
132.34
172.06
148.88
Table SC-3205-B.1: Summary of Steam Cooling Data (cont.)
9.98
10.35
16.02
12.71
11.30
11.06
11.51
13.42
10.18
10.24
17.24
13.01
12.22
11.06
11.27
13.04
14.56
17.58
11.44
10.47
9.71
11.40
15.39
±σhtc
(W/m2-K)
13.65
9.76
9.01
8.63
8.71
8.85
11.92
12.73
6.72%
6.73%
7.25%
7.03%
6.95%
7.03%
7.19%
7.58%
6.74%
6.73%
7.36%
7.06%
7.05%
7.03%
7.16%
7.52%
7.20%
7.44%
6.89%
6.81%
6.75%
6.81%
7.14%
Fractional
Uncertainty
7.12%
6.79%
6.73%
6.70%
6.68%
6.69%
6.93%
8.55%
29.87
30.33
42.10
33.92
30.09
28.49
28.45
30.93
30.38
30.00
44.81
34.59
32.02
28.51
27.95
30.32
47.12
54.01
36.37
33.10
30.24
32.49
41.54
43.60
31.62
28.92
27.38
26.72
25.98
33.22
24.69
Nu(z)
A-182
169
170
171
172
173
174
175
176
89
90
91
92
93
94
95
96
121
122
123
124
125
126
127
128
RodF3_50.1
RodF3_54
RodF3_57
RodF3_60
RodF3_66.1
RodF3_70
RodF3_73
RodF3_75
RodE6_50.2
RodE6_54.1
RodE6_57
RodE6_60.2
RodE6_66.1
RodE6_70
RodE6_73.1
RodE6_75
1.275
1.374
1.448
1.529
1.679
1.778
1.857
1.905
1.273
1.372
1.448
1.524
1.679
1.778
1.854
1.905
1.275
1.374
1.445
1.527
1.679
1.775
1.854
1.905
Channel Elevation
Number
(m)
73
1.273
74
1.372
75
1.445
76
1.521
77
1.676
78
1.773
79
1.852
80
1.902
RodB3_50.2
RodB3_54.1
RodB3_56.9
RodB3_60.1
RodB3_66.1
RodB3_69.9
RodB3_73
RodB3_75
H.R.
Location
RodE2_50.1
RodE2_54
RodE2_56.9
RodE2_59.9
RodE2_66
RodE2_69.8
RodE2_72.9
RodE2_74.9
0.081
0.180
0.254
0.335
0.485
-0.022
0.056
0.105
0.079
0.178
0.254
0.330
0.485
-0.022
0.054
0.105
0.081
0.180
0.251
0.333
0.485
-0.025
0.054
0.105
Zgrid
(m)
0.079
0.178
0.251
0.328
0.483
-0.027
0.051
0.102
565.1
584.5
595.3
606.9
619.7
605.6
630.6
644.0
570.6
592.0
604.6
616.1
623.0
609.5
634.2
648.2
566.3
582.2
592.2
601.9
623.6
609.8
634.6
647.7
H.R.Tw
(K)
566.0
588.3
600.4
613.2
626.8
605.9
630.1
641.8
5866.7
6086.6
6249.8
6430.6
6764.8
6984.8
7159.4
7266.6
5873.9
6101.3
6276.6
6452.2
6809.4
7035.0
7210.4
7326.3
5867.4
6091.1
6251.1
6434.6
6777.3
6993.0
7170.1
7284.5
H.R. q''
2
(W/m )
5906.1
6130.3
6297.2
6470.0
6822.5
7043.1
7222.0
7337.7
504.2
516.0
525.1
535.5
555.2
568.7
579.6
586.3
503.9
515.7
525.1
534.8
555.2
568.7
579.2
586.3
504.2
516.0
524.8
535.1
555.2
568.3
579.2
586.3
Tcl
(K)
503.9
515.7
524.8
534.5
554.9
568.0
578.9
585.9
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
Correction
Factor
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
517.2
530.7
540.1
550.8
569.0
576.6
590.5
598.7
518.2
532.0
542.1
552.2
569.7
577.4
591.0
599.6
517.5
530.2
539.2
549.4
569.9
577.2
591.1
599.5
Tbulk
(K)
517.2
531.2
541.0
551.3
570.3
576.1
589.8
597.9
4713
4570
4475
4373
4207
4142
4027
3963
4702
4556
4455
4359
4201
4135
4023
3956
4710
4575
4484
4385
4199
4136
4022
3956
4713
4565
4467
4367
4196
4146
4032
3968
Re (z)
122.58
113.12
113.27
114.50
133.53
240.51
178.53
160.35
112.04
101.68
100.42
101.04
127.87
219.50
167.01
150.61
120.22
117.03
118.03
122.69
126.08
214.77
164.78
150.90
h (z)
(W/m2-K)
120.98
107.47
105.92
104.64
120.75
236.50
179.46
167.04
Table SC-3205-B.1: Summary of Steam Cooling Data (cont.)
8.49
7.72
7.70
7.77
9.18
18.67
12.75
11.21
7.66
6.84
6.73
6.76
8.71
16.50
11.73
10.40
8.31
8.01
8.06
8.39
8.59
16.10
11.58
10.43
±σhtc
(W/m2-K)
8.33
7.26
7.12
7.01
8.16
18.16
12.76
11.69
6.93%
6.82%
6.80%
6.79%
6.87%
7.76%
7.14%
6.99%
6.84%
6.73%
6.70%
6.69%
6.81%
7.52%
7.03%
6.91%
6.91%
6.85%
6.83%
6.84%
6.82%
7.50%
7.03%
6.91%
Fractional
Uncertainty
6.89%
6.75%
6.72%
6.70%
6.76%
7.68%
7.11%
7.00%
37.93
33.83
33.08
32.56
36.31
64.20
46.10
40.61
34.59
30.30
29.18
28.63
34.71
58.48
43.07
38.06
37.18
35.04
34.55
35.01
34.21
57.25
42.49
38.15
37.44
32.10
30.87
29.72
32.73
63.21
46.41
42.38
Nu(z)
RBHT Steam Cooling Test SC-3205-C
Matrix test # 18
Test date – 4/14/2005
Steady state time window: 16140 - 17400 sec
Inlet flow: 0.48 m3/min (17.0 ft3/min)
Inlet steam temperature: 406 K (272 °F)
Upper plenum pressure: 271.7 kPa (39.4 psia)
Bundle power: 14.0 kW
Outlet steam temperature: 830 K (1035 °F)
Bundle inlet Reynolds number: 1951
Subchannel Centerline Temperatures
The equations below were correlated using the axial subchannel centerline temperature
distribution.
Subchannels D5 and E5 (use for inner 3x3 rod bundle thermocouple locations)
Tcl = -18.252x3 + 107.5x2 - 36.933x + 429.86
Subchannel C5 (use for 5x5 peripheral rod bundle thermocouple locations)
Tcl = -11.408x3 + 67.772x2 + 18.559x + 413.73
where x is the elevation (m) and Tcl is in (K)
A-183
A-184
A-185
A-186
A-187
A-188
Subchannels D5 and E5 Axial Temperature Profile
2
3
y = -18.252x + 107.5x - 36.933x + 429.86
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
2.5
3
3.5
4
3.5
4
Elevation (m)
Subchannel C5 Axial Temperature Profile
y = -11.408x3 + 67.772x2 + 18.559x + 413.73
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
Elevation (m)
A-189
2.5
3
A-190
Number
185
186
187
188
189
190
191
192
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
201
202
204
205
208
193
194
195
196
197
198
199
200
RodC4_88.4
RodC4_91.1
RodC4_93.4
RodC4_95.3
RodC4_100.1
RodC4_106.1
RodC4_110
RodC4_142.2
RodD4_88.3
RodD4_91.3
RodD4_93.2
RodD4_95.2
RodD4_100.1
RodD4_106.1
RodD4_110
RodD4_142.1
RodE4_88.4
RodE4_91.2
RodE4_95.3
RodE4_100.9
RodE4_142.3
RodE3_63.4
RodE3_113.6
RodE3_115.5
RodE3_118.5
RodE3_122.7
RodE3_126.5
RodE3_131.7
RodE3_135.6
1.610
2.885
2.934
3.010
3.117
3.213
3.345
3.444
2.245
2.316
2.421
2.563
3.614
2.243
2.319
2.367
2.418
2.543
2.695
2.794
3.609
2.245
2.314
2.372
2.421
2.543
2.695
2.794
3.612
(m)
2.243
2.319
2.365
2.421
2.543
2.695
2.794
3.609
Channel Elevation
Location
RodD3_88.3
RodD3_91.3
RodD3_93.1
RodD3_95.3
RodD3_100.1
RodD3_106.1
RodD3_110
RodD3_142.1
H.R.
0.417
0.022
0.070
0.146
0.253
0.349
-0.046
0.053
-0.003
0.069
0.173
0.315
0.224
-0.005
0.071
0.119
0.170
0.295
0.447
0.546
0.218
-0.003
0.066
0.124
0.173
0.295
0.447
0.546
0.221
(m)
-0.005
0.071
0.117
0.173
0.295
0.447
0.546
0.218
Zgrid
621.1
808.2
815.1
822.8
829.1
832.2
837.1
837.3
706.9
726.0
750.7
774.1
845.0
713.9
730.6
743.4
756.5
780.5
794.1
798.4
847.4
713.7
729.9
743.5
755.6
779.3
794.0
797.3
846.4
(K)
707.7
727.9
741.0
754.9
778.5
794.4
800.1
844.7
H.R.Tw
3171.3
3847.5
3700.3
3473.0
3151.7
2859.3
2432.5
2155.0
3797.2
3864.4
3964.3
4096.5
1519.0
3842.0
3921.1
3969.1
4017.7
4140.4
4298.6
4155.1
1508.5
572.9
779.8
785.9
794.9
806.4
815.6
826.0
832.2
682.3
694.3
711.5
734.1
838.9
681.9
694.7
702.7
711.1
730.9
753.8
767.8
838.8
682.3
693.9
703.6
711.5
730.9
753.8
767.8
838.9
(K)
681.9
694.7
702.3
711.5
730.9
753.8
767.8
838.8
(W/m2)
3813.7
3890.9
3935.3
3990.6
4110.8
4264.2
4200.3
1431.4
3844.6
3917.3
3975.9
4024.6
4144.5
4305.4
4171.6
1558.1
Tcl
H.R. q''
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Factor
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Correction
589.0
789.3
795.6
804.2
814.0
821.1
829.7
833.9
690.5
704.9
724.6
747.4
840.9
692.5
706.7
716.3
726.2
747.4
767.2
778.0
841.7
692.8
705.9
716.9
726.2
747.0
767.2
777.6
841.4
(K)
690.5
705.8
715.2
726.0
746.8
767.4
778.5
840.8
Tbulk
1444
1034
1025
1013
1000
990
979
974
1201
1173
1137
1098
965
1197
1170
1152
1134
1098
1067
1051
964
1197
1171
1151
1135
1099
1067
1051
964
1201
1172
1154
1135
1100
1067
1050
965
Re (z)
Table SC-3205-C.1: Summary of Steam Cooling Data
h (z)
98.78
203.53
190.18
186.90
208.43
258.44
330.99
627.81
231.58
182.57
151.48
153.31
376.85
180.01
163.71
146.48
132.67
125.28
160.31
203.70
263.47
183.41
162.95
149.43
136.75
128.49
160.71
212.05
311.07
(W/m2-K)
221.51
175.97
152.68
137.81
129.64
157.58
195.07
362.07
±σhtc
11.56
25.93
24.08
23.85
27.98
38.83
62.13
213.57
30.45
22.74
18.31
18.53
112.02
22.22
19.84
17.48
15.66
14.69
19.20
25.49
59.43
22.71
19.73
17.87
16.18
15.09
19.23
26.67
77.21
(W/m2-K)
28.70
21.68
18.41
16.41
15.32
18.94
24.04
110.21
Fractional
11.70%
12.74%
12.66%
12.76%
13.42%
15.02%
18.77%
34.02%
13.15%
12.46%
12.09%
12.09%
29.72%
12.34%
12.12%
11.93%
11.80%
11.73%
11.98%
12.51%
22.56%
12.38%
12.11%
11.96%
11.83%
11.75%
11.97%
12.58%
24.82%
Uncertainty
12.96%
12.32%
12.06%
11.91%
11.82%
12.02%
12.32%
30.44%
25.60
34.64
31.99
30.96
33.93
41.54
52.40
98.67
47.82
36.60
29.18
28.23
58.51
37.02
32.70
28.69
25.47
23.07
28.42
35.40
40.86
37.70
32.60
29.23
26.26
23.68
28.50
36.87
48.27
45.75
35.21
29.97
26.47
23.90
27.93
33.86
56.24
Nu(z)
A-191
Number
225
226
227
229
230
231
232
209
210
211
212
213
214
215
216
177
178
179
180
181
182
183
217
218
219
220
221
222
223
224
RodE5_63.6
RodE5_113.6
RodE5_115.4
RodE5_118.7
RodE5_122.6
RodE5_126.6
RodE5_131.6
RodE5_135.6
RodC3_79.8
RodC3_85.6
RodC3_88.5
RodC3_92.4
RodC3_94.4
RodC3_97.2
RodC3_108.8
RodD5_50
RodD5_54.1
RodD5_56.9
RodD5_60
RodD5_66.1
RodD5_69.9
RodD5_72.9
RodD5_74.9
1.270
1.374
1.445
1.524
1.679
1.775
1.852
1.902
2.027
2.174
2.248
2.347
2.398
2.469
2.764
1.615
2.885
2.931
3.015
3.114
3.216
3.343
3.444
(m)
1.618
2.885
2.939
3.117
3.218
3.343
3.447
Channel Elevation
Location
RodC5_63.7
RodC5_113.6
RodC5_115.7
RodC5_122.7
RodC5_126.7
RodC5_131.6
RodC5_135.7
H.R.
0.076
0.180
0.251
0.330
0.485
-0.025
0.051
0.102
0.227
0.374
0.000
0.099
0.150
0.221
0.516
0.422
0.022
0.067
0.151
0.250
0.352
-0.048
0.053
(m)
0.424
0.022
0.075
0.253
0.354
-0.048
0.056
Zgrid
567.7
588.4
600.2
612.0
630.1
632.7
649.8
661.6
682.2
695.3
706.9
731.7
743.8
760.0
795.2
616.3
800.4
807.7
815.7
822.3
826.5
844.9
839.5
(K)
625.7
804.4
813.1
829.2
833.3
836.6
841.0
H.R.Tw
2771.9
2886.4
2960.6
3044.4
3207.6
3309.9
3388.3
3442.1
3562.1
3716.9
3790.8
3888.3
3937.1
4002.7
4208.4
3160.1
3854.1
3716.8
3469.2
3179.4
2884.5
2520.6
2216.2
(W/m )
3066.5
3728.1
3580.5
3071.6
2785.0
2440.8
2140.2
2
H.R. q''
519.0
534.7
545.9
558.7
584.5
601.0
614.2
623.0
644.7
670.2
682.7
699.4
707.7
719.3
763.6
573.8
779.8
785.6
795.5
806.1
815.8
825.9
832.2
(K)
574.2
779.8
786.5
806.4
816.0
825.9
832.3
Tcl
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Factor
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Correction
535.2
552.6
564.0
576.4
599.7
611.6
626.0
635.9
657.2
678.6
690.8
710.1
719.8
732.8
774.1
588.0
786.7
792.9
802.2
811.5
819.4
832.2
834.6
(K)
591.4
788.0
795.4
814.0
821.8
829.4
835.2
Tbulk
1618
1557
1520
1481
1414
1382
1345
1321
1271
1225
1201
1164
1146
1123
1056
1447
1038
1029
1016
1003
992
976
973
1437
1036
1025
1000
989
979
972
Re (z)
Table SC-3205-C.1: Summary of Steam Cooling Data (cont.)
85.32
80.70
81.81
85.61
105.44
156.73
142.83
133.91
142.46
221.29
235.51
180.56
163.79
147.58
199.65
111.45
281.77
252.36
256.98
295.68
404.95
198.22
454.60
(W/m -K)
89.41
228.19
201.87
202.36
242.46
341.89
368.82
2
h (z)
10.05
9.43
9.56
10.01
12.48
19.43
17.44
16.17
17.30
28.94
31.16
22.45
20.03
17.80
24.97
13.23
39.14
34.22
35.77
44.96
77.29
27.83
114.29
(W/m -K)
10.64
30.56
26.45
27.46
36.13
65.39
81.33
2
±σhtc
11.78%
11.69%
11.68%
11.69%
11.84%
12.40%
12.21%
12.08%
12.14%
13.08%
13.23%
12.43%
12.23%
12.06%
12.51%
11.87%
13.89%
13.56%
13.92%
15.20%
19.09%
14.04%
25.14%
Uncertainty
11.90%
13.39%
13.10%
13.57%
14.90%
19.12%
22.05%
Fractional
25.23
22.85
22.52
22.86
26.64
38.51
33.95
31.13
31.59
46.86
48.61
35.81
31.85
27.97
34.95
28.95
48.18
42.66
42.72
48.34
65.28
31.24
71.36
23.04
38.93
33.98
32.94
38.92
54.15
57.84
Nu(z)
A-192
105
106
107
108
109
110
111
112
57
58
59
60
61
62
63
64
137
138
139
140
141
142
143
144
RodF5_41
RodF5_53.1
RodF5_55
RodF5_57.8
RodF5_64
RodF5_73.8
RodF5_75.8
RodF5_76.8
RodC2_41
RodC2_53.1
RodC2_55
RodC2_57.8
RodC2_63.9
RodC2_73.8
RodC2_75.8
RodC2_76.8
RodC6_40.9
RodC6_52.8
RodC6_54.8
RodC6_57.8
RodC6_63.8
RodC6_73.7
RodC6_75.8
RodC6_76.8
1.039
1.341
1.392
1.468
1.621
1.872
1.925
1.951
1.041
1.349
1.397
1.468
1.623
1.875
1.925
1.951
1.041
1.349
1.397
1.468
1.626
1.875
1.925
1.951
(m)
1.041
1.344
1.397
1.468
1.626
1.877
1.928
1.953
Channel Elevation
Number
153
154
155
156
157
158
159
160
H.R.
Location
RodB5_41
RodB5_52.9
RodB5_55
RodB5_57.8
RodB5_64
RodB5_73.9
RodB5_75.9
RodB5_76.9
0.340
0.147
0.198
0.274
0.427
0.072
0.125
0.150
0.343
0.155
0.203
0.274
0.429
0.074
0.125
0.150
0.343
0.155
0.203
0.274
0.432
0.074
0.125
0.150
(m)
0.343
0.150
0.203
0.274
0.432
0.077
0.128
0.153
Zgrid
547.0
584.6
593.3
604.0
623.8
654.4
663.8
668.9
544.1
580.3
587.7
598.5
616.9
641.3
650.4
654.3
543.1
579.3
588.2
599.2
617.8
643.4
654.5
659.3
(K)
547.9
585.6
592.9
603.9
623.6
652.6
663.4
668.0
H.R.Tw
2501.5
2845.6
2899.7
2983.1
3153.8
3432.3
3488.6
3516.4
2517.9
2852.0
2903.6
2980.1
3146.3
3407.8
3458.1
3483.3
493.4
533.0
540.1
550.9
573.2
611.1
619.3
623.1
493.7
534.1
540.8
550.9
573.6
611.5
619.3
623.1
493.7
534.1
540.8
550.9
574.0
611.5
619.3
623.1
(K)
493.7
533.3
540.8
550.9
574.0
611.9
619.6
623.5
(W/m2)
2520.5
2848.8
2905.3
2980.8
3147.9
3412.8
3466.3
3492.8
2508.3
2841.7
2893.8
2969.2
3137.6
3400.9
3454.3
3479.4
Tcl
H.R. q''
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Factor
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Correction
511.3
550.2
557.8
568.6
590.1
625.6
634.1
638.4
510.5
549.5
556.4
566.8
588.1
621.4
629.7
633.5
510.1
549.1
556.6
567.0
588.6
622.2
631.0
635.2
(K)
511.7
550.8
558.2
568.6
590.5
625.5
634.2
638.3
Tbulk
1708.5
1565.4
1540.0
1505.4
1441.1
1345.9
1324.9
1314.6
1711.6
1567.8
1544.5
1511.2
1446.9
1356.3
1335.8
1326.2
1713.1
1569.0
1543.9
1510.4
1445.4
1354.5
1332.4
1322.2
1706.6
1563.4
1538.8
1505.4
1439.8
1346.2
1324.6
1314.7
Re (z)
Table SC-3205-C.1: Summary of Steam Cooling Data (cont.)
h (z)
69.89
82.76
81.80
84.33
93.61
118.92
117.49
115.27
74.85
92.41
92.90
94.10
108.88
171.49
166.39
167.43
76.19
94.27
91.55
92.32
107.35
159.74
147.01
144.25
(W/m2-K)
69.78
81.74
83.67
84.36
95.18
125.73
118.84
117.86
±σhtc
8.23
9.71
9.58
9.87
10.97
14.12
13.91
13.61
8.83
10.94
10.99
11.11
12.96
21.52
20.78
20.91
9.02
11.21
10.84
10.91
12.79
19.82
18.01
17.61
(W/m2-K)
8.18
9.58
9.81
9.88
11.19
15.09
14.15
14.02
Fractional
11.78%
11.74%
11.71%
11.70%
11.72%
11.87%
11.84%
11.81%
11.79%
11.84%
11.83%
11.81%
11.90%
12.55%
12.49%
12.49%
11.84%
11.89%
11.84%
11.82%
11.91%
12.41%
12.25%
12.21%
Uncertainty
11.72%
11.72%
11.72%
11.71%
11.76%
12.00%
11.91%
11.89%
21.96
23.57
22.86
22.95
24.20
28.30
27.42
26.65
23.56
26.36
26.05
25.73
28.28
41.19
39.23
39.13
24.00
26.92
25.66
25.22
27.84
38.31
34.55
33.58
21.89
23.25
23.36
22.96
24.57
29.93
27.73
27.25
Nu(z)
A-193
98
99
100
101
102
103
104
65
66
67
68
69
70
71
72
129
130
131
132
133
134
135
136
RodF4_85.6
RodF4_88.4
RodF4_92.4
RodF4_94.3
RodF4_97.2
RodF4_108.8
RodF4_111
RodD2_103.2
RodD2_106
RodD2_112.6
RodD2_114.9
RodD2_117.4
RodD2_120.8
RodD2_124.8
RodD2_128.6
RodD6_103.1
RodD6_106
RodD6_112.9
RodD6_114.9
RodD6_116.8
RodD6_120.9
RodD6_124.8
RodD6_128.7
2.619
2.692
2.868
2.918
2.967
3.071
3.170
3.269
2.621
2.692
2.860
2.918
2.982
3.068
3.170
3.266
2.174
2.245
2.347
2.395
2.469
2.764
2.819
(m)
2.245
2.319
2.370
2.416
2.540
2.692
2.791
3.614
Channel Elevation
Number
161
162
163
164
165
166
167
168
H.R.
Location
RodB4_88.4
RodB4_91.3
RodB4_93.3
RodB4_95.1
RodB4_100
RodB4_106
RodB4_109.9
RodB4_142.3
0.371
0.445
0.004
0.055
0.103
0.207
0.306
0.405
0.373
0.445
-0.004
0.055
0.118
0.204
0.306
0.403
0.374
-0.003
0.099
0.147
0.221
0.516
-0.044
(m)
-0.003
0.071
0.122
0.168
0.292
0.445
0.544
0.224
Zgrid
764.2
773.8
792.9
799.7
804.5
843.3
814.7
819.5
763.2
772.4
790.6
800.2
805.9
813.8
819.0
822.2
688.5
695.1
719.3
730.6
746.8
784.6
789.6
(K)
705.4
722.3
731.8
739.8
757.7
779.7
785.1
832.8
H.R.Tw
4194.7
4265.8
3894.2
3735.3
3579.3
1519.0
2935.0
2620.5
4192.6
4264.8
3911.4
3720.5
3526.0
3251.7
2928.6
2624.1
722.2
732.3
755.2
761.5
767.4
779.5
790.2
800.1
722.6
732.3
754.3
761.5
769.2
779.2
790.2
799.9
657.2
667.9
683.1
690.2
701.0
741.8
749.1
(K)
667.9
679.0
686.5
693.2
711.2
732.3
745.5
827.5
(W/m2)
3769.2
3840.9
3887.2
3931.9
4049.8
4199.4
4063.4
1547.3
3730.6
3802.2
3902.6
3949.3
4020.0
4231.7
4057.9
Tcl
H.R. q''
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Factor
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Correction
736.2
746.1
767.8
774.3
779.8
800.7
798.3
806.6
736.1
745.7
766.4
774.4
781.4
790.7
799.8
807.3
667.6
677.0
695.2
703.7
716.2
756.1
762.6
(K)
680.4
693.4
701.6
708.7
726.7
748.1
758.7
829.3
Tbulk
1117.2
1100.6
1066.0
1056.2
1047.9
1017.8
1021.1
1009.7
1117.3
1101.3
1068.2
1055.9
1045.4
1032.0
1019.1
1008.7
1248.3
1228.6
1192.0
1175.6
1152.3
1084.4
1074.1
1221.5
1195.4
1179.6
1166.1
1133.7
1097.3
1080.3
979.6
Re (z)
Table SC-3205-C.1: Summary of Steam Cooling Data (cont.)
h (z)
149.83
154.39
155.11
146.88
144.66
35.68
179.64
202.58
154.63
159.63
161.50
144.55
144.11
140.99
152.18
176.42
178.60
210.16
161.86
146.68
131.67
148.23
150.16
(W/m2-K)
150.72
132.91
128.74
126.53
130.43
132.83
153.79
441.08
±σhtc
17.91
18.50
18.87
17.84
17.65
7.48
23.79
28.86
18.57
19.21
19.76
17.57
17.62
17.41
19.43
24.03
22.25
26.96
19.73
17.64
15.65
17.73
18.06
(W/m2-K)
18.36
15.93
15.38
15.08
15.58
15.86
18.77
147.61
Fractional
11.96%
11.98%
12.16%
12.14%
12.20%
20.96%
13.24%
14.25%
12.01%
12.03%
12.23%
12.15%
12.23%
12.35%
12.77%
13.62%
12.46%
12.83%
12.19%
12.03%
11.88%
11.96%
12.03%
Uncertainty
12.18%
11.99%
11.95%
11.92%
11.94%
11.94%
12.20%
33.47%
28.20
28.50
27.47
25.70
25.06
5.95
30.07
33.41
29.11
29.50
28.68
25.29
24.88
23.93
25.41
29.06
38.72
44.65
33.10
29.47
25.79
26.85
26.86
31.79
27.28
25.98
25.16
25.02
24.43
27.71
69.89
Nu(z)
A-194
169
170
171
172
173
174
175
176
89
90
91
92
93
94
95
96
121
122
123
124
125
126
127
128
RodB3_50.2
RodB3_54.1
RodB3_56.9
RodB3_60.1
RodB3_66.1
RodB3_69.9
RodB3_73
RodB3_75
RodF3_50.1
RodF3_54
RodF3_57
RodF3_60
RodF3_66.1
RodF3_70
RodF3_73
RodF3_75
RodE6_50.2
RodE6_54.1
RodE6_57
RodE6_60.2
RodE6_66.1
RodE6_70
RodE6_73.1
RodE6_75
1.275
1.374
1.448
1.529
1.679
1.778
1.857
1.905
1.273
1.372
1.448
1.524
1.679
1.778
1.854
1.905
1.275
1.374
1.445
1.527
1.679
1.775
1.854
1.905
(m)
1.273
1.372
1.445
1.521
1.676
1.773
1.852
1.902
Channel Elevation
Number
73
74
75
76
77
78
79
80
H.R.
Location
RodE2_50.1
RodE2_54
RodE2_56.9
RodE2_59.9
RodE2_66
RodE2_69.8
RodE2_72.9
RodE2_74.9
0.081
0.180
0.254
0.335
0.485
-0.022
0.056
0.105
0.079
0.178
0.254
0.330
0.485
-0.022
0.054
0.105
0.081
0.180
0.251
0.333
0.485
-0.025
0.054
0.105
(m)
0.079
0.178
0.251
0.328
0.483
-0.027
0.051
0.102
Zgrid
563.5
581.3
591.8
604.0
620.6
622.2
637.0
648.2
568.6
587.5
598.5
608.6
623.6
627.0
643.0
655.2
563.2
579.7
591.5
603.6
623.1
625.7
639.3
651.1
(K)
562.5
582.0
593.0
604.5
620.5
622.6
637.0
647.3
H.R.Tw
2772.2
2880.3
2958.1
3043.7
3201.8
3305.6
3386.5
3430.9
2776.9
2885.4
2970.7
3054.2
3226.1
3331.1
3409.4
3467.1
523.9
537.6
548.0
559.8
581.9
596.8
608.8
616.2
523.6
537.2
548.0
559.0
581.9
596.8
608.4
616.2
523.9
537.6
547.7
559.4
581.9
596.5
608.4
616.2
(K)
523.6
537.2
547.7
558.7
581.6
596.1
608.0
615.8
(W/m2)
2795.6
2906.1
2985.0
3068.2
3237.1
3341.0
3421.5
3476.1
2766.3
2874.0
2952.2
3039.3
3201.7
3303.5
3387.3
3439.9
Tcl
H.R. q''
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Factor
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Correction
537.1
552.2
562.6
574.5
594.8
605.3
618.2
626.9
538.6
554.0
564.9
575.6
595.8
606.9
619.9
629.2
537.0
551.6
562.3
574.1
595.7
606.2
618.7
627.8
(K)
536.5
552.2
562.8
573.9
594.5
604.9
617.7
626.3
Tbulk
1610.8
1558.7
1524.4
1487.2
1427.6
1398.7
1364.6
1342.7
1605.5
1552.6
1517.3
1484.0
1424.8
1394.4
1360.2
1337.0
1611.1
1560.5
1525.5
1488.3
1425.2
1396.2
1363.3
1340.3
1612.8
1558.7
1524.0
1488.9
1428.4
1399.7
1365.9
1344.2
Re (z)
Table SC-3205-C.1: Summary of Steam Cooling Data (cont.)
h (z)
105.20
98.89
101.39
103.30
124.13
195.96
179.95
160.43
92.50
86.12
88.32
92.37
116.21
165.78
148.04
133.25
105.59
102.36
101.04
103.10
116.62
169.54
164.49
147.49
(W/m2-K)
107.83
97.29
98.87
100.39
124.61
189.16
177.18
165.60
±σhtc
12.67
11.77
12.06
12.28
14.97
25.48
22.83
19.95
10.97
10.11
10.35
10.84
13.83
20.68
18.05
16.01
12.74
12.24
12.03
12.26
13.96
21.35
20.50
18.06
(W/m2-K)
12.94
11.48
11.66
11.82
14.91
24.18
22.23
20.45
Fractional
12.04%
11.90%
11.90%
11.89%
12.06%
13.00%
12.69%
12.44%
11.86%
11.74%
11.72%
11.73%
11.90%
12.47%
12.19%
12.01%
12.06%
11.96%
11.90%
11.89%
11.97%
12.59%
12.46%
12.25%
Uncertainty
12.00%
11.80%
11.79%
11.77%
11.97%
12.78%
12.54%
12.35%
30.96
28.03
28.00
27.72
31.72
48.86
43.55
38.06
27.12
24.30
24.26
24.72
29.63
41.18
35.68
31.45
31.08
29.05
27.93
27.69
29.75
42.19
39.76
34.92
31.77
27.57
27.30
26.97
31.87
47.21
42.93
39.34
Nu(z)
RBHT Steam Cooling Test SC-3209-A
Matrix test # 6
Test date – 4/21/2005
Steady state time window: 10020 - 11100 sec
Inlet flow: 2.26 m3/min (79.9 ft3/min)
Inlet steam temperature: 410 K (279 °F)
Upper plenum pressure: 271.7 kPa (39.4 psia)
Bundle power: 50.0 kW
Outlet steam temperature: 805 K (990 °F)
Bundle inlet Reynolds number: 8971
Subchannel Centerline Temperatures
The equations below were correlated using the axial subchannel centerline temperature
distribution.
Subchannels D5 and E5 (use for inner 3x3 rod bundle thermocouple locations)
Tcl = -15.264x3 + 96.728x2 - 46.606x + 437.45
Subchannel C5 (use for 5x5 peripheral rod bundle thermocouple locations)
Tcl = -10.909x3 + 72.459x2 - 16.805x + 428.65
where x is the elevation (m) and Tcl is in (K)
A-195
A-196
A-197
A-198
A-199
A-200
Subchannels D5 and E5 Axial Temperature Profile
y = -15.264x 3 + 96.728x 2 - 46.606x + 437.45
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
2.5
3
3.5
4
3.5
4
Elevation (m)
Subchannel C5 Axial Temperature Profile
y = -10.909x 3 + 72.459x 2 - 16.805x + 428.65
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
Elevation (m)
A-201
2.5
3
A-202
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
201
202
204
205
208
193
194
195
196
197
198
199
200
RodD4_88.3
RodD4_91.3
RodD4_93.2
RodD4_95.2
RodD4_100.1
RodD4_106.1
RodD4_110
RodD4_142.1
RodE4_88.4
RodE4_91.2
RodE4_95.3
RodE4_100.9
RodE4_142.3
RodE3_63.4
RodE3_113.6
RodE3_115.5
RodE3_118.5
RodE3_122.7
RodE3_126.5
RodE3_131.7
RodE3_135.6
1.610
2.885
2.934
3.010
3.117
3.213
3.345
3.444
2.245
2.316
2.421
2.563
3.614
2.243
2.319
2.367
2.418
2.543
2.695
2.794
3.609
2.245
2.314
2.372
2.421
2.543
2.695
2.794
3.612
Channel Elevation
Number
(m)
185
2.243
186
2.319
187
2.365
188
2.421
189
2.543
190
2.695
191
2.794
192
3.609
RodC4_88.4
RodC4_91.1
RodC4_93.4
RodC4_95.3
RodC4_100.1
RodC4_106.1
RodC4_110
RodC4_142.2
H.R.
Location
RodD3_88.3
RodD3_91.3
RodD3_93.1
RodD3_95.3
RodD3_100.1
RodD3_106.1
RodD3_110
RodD3_142.1
0.417
0.022
0.070
0.146
0.253
0.349
-0.046
0.053
-0.003
0.069
0.173
0.315
0.224
-0.005
0.071
0.119
0.170
0.295
0.447
0.546
0.218
-0.003
0.066
0.124
0.173
0.295
0.447
0.546
0.221
Zgrid
(m)
-0.005
0.071
0.117
0.173
0.295
0.447
0.546
0.218
639.4
806.2
820.8
832.9
840.1
839.3
817.4
827.1
700.6
733.3
764.3
790.4
832.3
707.8
741.4
756.1
768.4
789.3
810.7
796.7
841.2
705.7
738.5
752.4
766.7
788.2
813.1
795.3
846.6
H.R.Tw
(K)
699.6
737.4
753.4
768.6
792.3
815.3
800.7
831.6
10974.8
13520.8
13016.8
12220.9
11106.7
10100.1
8731.5
7693.6
13256.6
13512.9
13888.6
14399.6
5471.6
13469.7
13758.0
13939.3
14129.9
14599.0
15171.8
14651.6
5422.4
13513.0
13773.4
13995.1
14177.7
14642.3
15220.6
14730.7
5602.9
H.R. q''
(W/m2)
13353.3
13638.7
13809.0
14017.8
14470.6
15036.0
14848.0
5162.5
549.5
741.6
747.8
757.3
769.7
780.0
792.6
800.7
647.7
658.8
674.9
696.4
811.9
647.3
659.2
666.7
674.5
693.4
715.6
729.4
811.6
647.7
658.4
667.5
674.9
693.4
715.6
729.4
811.8
Tcl
(K)
647.3
659.2
666.3
674.9
693.4
715.6
729.4
811.6
1.20
1.20
1.20
1.27
1.27
1.27
1.27
1.27
1.20
1.20
1.20
1.20
1.27
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.27
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.27
Correction
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.27
564.5
752.4
760.0
773.5
784.7
792.7
797.9
806.4
656.5
671.2
689.8
712.1
816.3
657.4
672.9
681.6
690.2
709.4
731.5
740.6
818.0
657.4
671.8
681.6
690.2
709.2
731.9
740.4
819.2
Tbulk
(K)
656.0
672.2
680.8
690.5
709.9
732.2
741.3
815.9
7060
5070
5013
4916
4838
4785
4751
4696
5918
5769
5591
5393
4634
5909
5752
5668
5588
5416
5232
5160
4623
5909
5763
5668
5588
5418
5229
5162
4615
5923
5759
5676
5585
5412
5226
5154
4636
Re (z)
Table SC-3209-A.1: Summary of Steam Cooling Data
146.52
251.00
214.14
205.51
200.72
216.77
446.54
371.44
300.33
217.67
186.49
183.75
341.49
267.01
200.94
187.00
180.61
182.54
191.38
261.35
232.95
279.33
206.29
197.65
185.42
185.21
187.30
268.41
204.51
h (z)
(W/m2-K)
306.06
209.20
190.33
179.59
175.44
180.95
249.80
328.45
6.74
12.41
10.27
11.94
11.77
13.11
38.12
30.61
15.81
10.41
8.62
8.43
33.29
13.40
9.37
8.60
8.24
8.30
8.71
12.76
18.14
14.19
9.66
9.16
8.48
8.43
8.49
13.15
14.67
±σhtc
(W/m2-K)
16.14
9.88
8.81
8.22
7.97
8.21
11.98
32.62
4.60%
4.94%
4.80%
5.81%
5.87%
6.05%
8.54%
8.24%
5.26%
4.78%
4.62%
4.59%
9.75%
5.02%
4.67%
4.60%
4.56%
4.55%
4.55%
4.88%
7.79%
5.08%
4.68%
4.63%
4.57%
4.55%
4.53%
4.90%
7.17%
Fractional
Uncertainty
5.27%
4.72%
4.63%
4.58%
4.54%
4.54%
4.79%
9.93%
40.28
45.78
38.50
36.02
34.45
36.66
74.81
61.28
66.70
46.82
38.57
36.30
55.36
59.19
43.07
39.35
37.32
36.26
36.36
48.77
37.65
61.92
44.33
41.58
38.32
36.80
35.56
50.11
32.98
68.04
44.90
40.12
37.08
34.81
34.33
46.55
53.28
Nu(z)
A-203
209
210
211
212
213
214
215
216
177
178
179
180
181
182
183
217
218
219
220
221
222
223
224
RodC3_79.8
RodC3_85.6
RodC3_88.5
RodC3_92.4
RodC3_94.4
RodC3_97.2
RodC3_108.8
RodD5_50
RodD5_54.1
RodD5_56.9
RodD5_60
RodD5_66.1
RodD5_69.9
RodD5_72.9
RodD5_74.9
1.270
1.374
1.445
1.524
1.679
1.775
1.852
1.902
2.027
2.174
2.248
2.347
2.398
2.469
2.764
1.615
2.885
2.931
3.015
3.114
3.216
3.343
3.444
Channel Elevation
Number
(m)
225
1.618
226
2.885
227
2.939
229
3.117
230
3.218
231
3.343
232
3.447
RodE5_63.6
RodE5_113.6
RodE5_115.4
RodE5_118.7
RodE5_122.6
RodE5_126.6
RodE5_131.6
RodE5_135.6
H.R.
Location
RodC5_63.7
RodC5_113.6
RodC5_115.7
RodC5_122.7
RodC5_126.7
RodC5_131.6
RodC5_135.7
0.076
0.180
0.251
0.330
0.485
-0.025
0.051
0.102
0.227
0.374
0.000
0.099
0.150
0.221
0.516
0.422
0.022
0.067
0.151
0.250
0.352
-0.048
0.053
Zgrid
(m)
0.424
0.022
0.075
0.253
0.354
-0.048
0.056
586.3
610.0
622.1
631.0
646.5
625.4
660.2
677.8
687.5
694.0
700.3
741.8
749.5
771.7
810.6
633.2
797.2
808.4
816.4
825.7
828.2
806.5
820.8
H.R.Tw
(K)
643.4
805.4
823.6
844.3
843.0
821.1
834.0
9749.0
10131.7
10392.2
10681.9
11255.3
11614.7
11893.5
12079.7
12488.9
13033.4
13302.4
13664.6
13851.3
14113.1
14877.2
11031.6
13611.1
13139.8
12275.7
11257.4
10215.3
8913.2
7869.2
H.R. q''
2
(W/m )
10773.7
13199.4
12670.8
10906.0
9898.0
8665.6
7635.1
503.0
516.4
526.1
537.1
559.6
574.2
585.9
593.8
613.3
636.5
648.1
663.5
671.4
682.3
725.2
550.2
741.6
747.5
757.9
769.4
780.2
792.3
800.7
Tcl
(K)
550.6
741.6
748.5
769.7
780.5
792.3
800.9
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.27
1.27
1.27
1.27
1.27
Correction
Factor
1.20
1.20
1.20
1.27
1.27
1.27
1.27
516.9
532.0
542.1
552.7
574.1
582.7
598.3
607.8
625.6
646.1
656.8
676.6
684.4
697.2
739.4
564.1
750.9
757.6
770.4
781.4
790.5
795.4
805.0
Tbulk
(K)
566.1
752.2
761.0
785.6
793.9
798.5
808.0
7840
7575
7408
7239
6921
6800
6593
6472
6257
6028
5915
5716
5642
5524
5169
7066
5081
5030
4938
4861
4799
4767
4704
7037
5071
5006
4832
4777
4747
4685
Re (z)
140.43
130.01
129.82
136.38
155.41
272.05
192.06
172.52
201.94
272.16
305.68
209.40
212.91
189.28
209.12
159.56
293.74
258.96
267.09
254.27
271.04
800.97
499.09
h (z)
(W/m2-K)
139.29
248.40
202.24
186.04
201.47
383.38
293.87
Table SC-3209-A.1: Summary of Steam Cooling Data (cont.)
6.53
5.94
5.91
6.23
7.18
14.38
9.17
8.04
9.66
13.93
16.16
9.90
10.08
8.74
9.73
7.43
15.17
12.99
16.21
15.54
17.25
102.88
48.96
±σhtc
(W/m2-K)
6.42
12.41
9.71
10.85
12.09
30.16
21.52
4.65%
4.57%
4.55%
4.57%
4.62%
5.28%
4.78%
4.66%
4.78%
5.12%
5.29%
4.73%
4.73%
4.62%
4.65%
4.66%
5.16%
5.02%
6.07%
6.11%
6.37%
12.84%
9.81%
Fractional
Uncertainty
4.61%
5.00%
4.80%
5.83%
6.00%
7.87%
7.32%
43.49
38.75
37.73
38.60
41.74
71.56
48.69
42.77
48.04
61.85
67.84
44.53
44.53
38.55
39.11
43.91
53.74
46.76
47.08
43.90
46.02
134.80
82.54
38.15
45.32
36.29
31.87
34.00
64.16
48.34
Nu(z)
A-204
105
106
107
108
109
110
111
112
57
58
59
60
61
62
63
64
137
138
139
140
141
142
143
144
RodC2_41
RodC2_53.1
RodC2_55
RodC2_57.8
RodC2_63.9
RodC2_73.8
RodC2_75.8
RodC2_76.8
RodC6_40.9
RodC6_52.8
RodC6_54.8
RodC6_57.8
RodC6_63.8
RodC6_73.7
RodC6_75.8
RodC6_76.8
1.039
1.341
1.392
1.468
1.621
1.872
1.925
1.951
1.041
1.349
1.397
1.468
1.623
1.875
1.925
1.951
1.041
1.349
1.397
1.468
1.626
1.875
1.925
1.951
Channel Elevation
Number
(m)
153
1.041
154
1.344
155
1.397
156
1.468
157
1.626
158
1.877
159
1.928
160
1.953
RodF5_41
RodF5_53.1
RodF5_55
RodF5_57.8
RodF5_64
RodF5_73.8
RodF5_75.8
RodF5_76.8
H.R.
Location
RodB5_41
RodB5_52.9
RodB5_55
RodB5_57.8
RodB5_64
RodB5_73.9
RodB5_75.9
RodB5_76.9
0.340
0.147
0.198
0.274
0.427
0.072
0.125
0.150
0.343
0.155
0.203
0.274
0.429
0.074
0.125
0.150
0.343
0.155
0.203
0.274
0.432
0.074
0.125
0.150
Zgrid
(m)
0.343
0.150
0.203
0.274
0.432
0.077
0.128
0.153
562.4
605.6
615.1
627.5
644.1
669.9
680.9
687.7
560.3
604.0
611.4
621.6
634.0
656.3
668.1
672.9
558.5
597.1
605.8
615.8
631.1
653.9
668.3
673.8
H.R.Tw
(K)
565.6
607.0
615.9
627.4
642.1
669.9
684.2
690.2
8808.9
9984.0
10181.1
10476.7
11069.9
12047.7
12253.7
12352.7
8843.9
9988.2
10167.2
10430.5
11008.5
11945.5
12133.7
12227.7
8808.5
9951.5
10130.5
10395.3
10982.2
11911.3
12100.6
12195.3
H.R. q''
2
(W/m )
8865.3
9993.1
10191.4
10456.1
11044.0
11981.4
12169.8
12264.2
477.2
510.1
516.2
525.6
545.3
579.5
587.0
590.6
477.4
511.0
516.8
525.6
545.6
579.9
587.0
590.6
477.4
511.0
516.8
525.6
545.9
579.9
587.0
590.6
Tcl
(K)
477.4
510.4
516.8
525.6
545.9
580.3
587.4
591.0
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
491.4
526.0
532.7
542.6
561.7
594.6
602.7
606.8
491.2
526.5
532.6
541.6
560.3
592.6
600.6
604.3
490.9
525.4
531.7
540.7
560.1
592.2
600.6
604.5
Tbulk
(K)
492.1
526.5
533.4
542.6
562.0
595.2
603.5
607.5
8331
7678
7563
7399
7101
6640
6536
6484
8334
7669
7565
7415
7122
6666
6563
6515
8340
7689
7581
7431
7125
6672
6563
6513
8316
7670
7552
7399
7098
6633
6525
6475
Re (z)
124.05
125.46
123.56
123.46
134.45
159.96
156.58
152.68
128.09
128.95
129.08
130.45
149.44
187.58
179.56
178.40
130.30
138.77
136.71
138.32
154.74
193.07
178.73
175.89
h (z)
2
(W/m -K)
120.60
124.23
123.41
123.25
137.81
160.39
150.78
148.39
Table SC-3209-A.1: Summary of Steam Cooling Data (cont.)
5.77
5.72
5.60
5.58
6.09
7.35
7.15
6.94
5.98
5.91
5.90
5.95
6.89
8.91
8.43
8.35
6.11
6.44
6.31
6.37
7.19
9.24
8.40
8.23
±σhtc
(W/m2-K)
5.57
5.65
5.60
5.57
6.27
7.40
6.87
6.74
4.65%
4.56%
4.54%
4.52%
4.53%
4.59%
4.57%
4.54%
4.67%
4.58%
4.57%
4.56%
4.61%
4.75%
4.70%
4.68%
4.69%
4.64%
4.62%
4.60%
4.65%
4.79%
4.70%
4.68%
Fractional
Uncertainty
4.62%
4.55%
4.54%
4.52%
4.55%
4.61%
4.56%
4.54%
41.01
37.96
36.76
35.83
37.21
40.90
39.28
37.94
42.36
38.97
38.42
37.95
41.51
48.19
45.27
44.58
43.12
42.06
40.78
40.34
43.00
49.65
45.06
43.94
39.79
37.54
36.66
35.77
38.12
40.95
37.75
36.81
Nu(z)
A-205
98
99
100
101
102
103
104
65
66
67
68
69
70
71
72
129
130
131
132
133
134
135
136
RodD2_103.2
RodD2_106
RodD2_112.6
RodD2_114.9
RodD2_117.4
RodD2_120.8
RodD2_124.8
RodD2_128.6
RodD6_103.1
RodD6_106
RodD6_112.9
RodD6_114.9
RodD6_116.8
RodD6_120.9
RodD6_124.8
RodD6_128.7
2.619
2.692
2.868
2.918
2.967
3.071
3.170
3.269
2.621
2.692
2.860
2.918
2.982
3.068
3.170
3.266
2.174
2.245
2.347
2.395
2.469
2.764
2.819
Channel Elevation
Number
(m)
161
2.245
162
2.319
163
2.370
164
2.416
165
2.540
166
2.692
167
2.791
168
3.614
RodF4_85.6
RodF4_88.4
RodF4_92.4
RodF4_94.3
RodF4_97.2
RodF4_108.8
RodF4_111
H.R.
Location
RodB4_88.4
RodB4_91.3
RodB4_93.3
RodB4_95.1
RodB4_100
RodB4_106
RodB4_109.9
RodB4_142.3
0.371
0.445
0.004
0.055
0.103
0.207
0.306
0.405
0.373
0.445
-0.004
0.055
0.118
0.204
0.306
0.403
0.374
-0.003
0.099
0.147
0.221
0.516
-0.044
Zgrid
(m)
-0.003
0.071
0.122
0.168
0.292
0.445
0.544
0.224
783.1
789.4
780.5
799.9
810.4
818.6
821.0
820.2
785.5
793.1
781.7
802.3
811.6
822.6
824.5
822.6
688.7
693.7
735.1
749.5
766.7
797.3
774.7
H.R.Tw
(K)
701.5
736.7
749.3
762.1
783.6
806.1
785.9
841.2
14829.5
15100.9
13775.7
13211.4
12673.5
11514.9
10412.6
9311.8
14786.6
15051.0
13808.9
13164.9
12465.1
11511.4
10392.8
9333.3
13072.3
13333.4
13705.7
13882.7
14153.9
14947.7
14338.0
H.R. q''
(W/m2)
13249.3
13514.3
13696.4
13861.0
14308.1
14856.5
14381.8
5558.5
685.6
695.7
719.1
725.6
731.7
744.4
756.0
766.9
686.0
695.7
718.1
725.6
733.6
744.1
756.0
766.7
622.5
632.7
647.3
654.2
664.7
705.3
712.8
Tcl
(K)
632.7
643.3
650.6
657.1
674.7
695.7
709.1
799.4
1.20
1.20
1.20
1.20
1.20
1.20
1.27
1.27
1.20
1.20
1.20
1.20
1.20
1.20
1.27
1.27
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.27
701.9
711.3
729.3
738.0
744.8
756.8
769.9
778.3
702.6
712.0
728.7
738.4
746.6
757.2
770.7
778.7
633.6
642.9
661.9
670.1
681.7
720.7
723.1
Tbulk
(K)
644.2
658.9
667.0
674.6
692.8
714.1
721.9
808.3
5482
5399
5250
5180
5127
5037
4941
4882
5476
5394
5255
5177
5114
5034
4936
4880
6166
6063
5862
5780
5668
5321
5300
6048
5893
5810
5736
5564
5376
5310
4683
Re (z)
182.68
193.59
268.89
213.34
193.33
186.36
203.67
222.52
178.40
185.53
260.66
205.86
191.71
176.12
193.18
212.27
236.90
262.53
187.23
174.72
166.39
195.15
277.57
h (z)
(W/m2-K)
231.34
173.63
166.54
158.47
157.70
161.63
224.48
169.32
Table SC-3209-A.1: Summary of Steam Cooling Data (cont.)
8.30
8.85
13.47
10.19
9.12
8.91
12.13
13.84
8.09
8.44
12.94
9.77
9.07
8.33
11.41
13.05
11.63
13.19
8.66
7.98
7.53
8.95
13.86
±σhtc
(W/m2-K)
11.27
7.97
7.59
7.16
7.10
7.27
10.69
11.31
4.54%
4.57%
5.01%
4.78%
4.72%
4.78%
5.96%
6.22%
4.54%
4.55%
4.97%
4.75%
4.73%
4.73%
5.91%
6.15%
4.91%
5.02%
4.63%
4.57%
4.53%
4.59%
4.99%
Fractional
Uncertainty
4.87%
4.59%
4.56%
4.52%
4.50%
4.50%
4.76%
6.68%
36.84
38.30
51.31
40.02
35.78
33.71
35.93
38.64
35.93
36.66
49.80
38.58
35.36
31.83
34.03
36.84
55.36
60.08
41.09
37.68
35.00
37.89
53.62
52.79
38.36
36.15
33.84
32.41
31.79
43.47
27.84
Nu(z)
A-206
169
170
171
172
173
174
175
176
89
90
91
92
93
94
95
96
121
122
123
124
125
126
127
128
RodF3_50.1
RodF3_54
RodF3_57
RodF3_60
RodF3_66.1
RodF3_70
RodF3_73
RodF3_75
RodE6_50.2
RodE6_54.1
RodE6_57
RodE6_60.2
RodE6_66.1
RodE6_70
RodE6_73.1
RodE6_75
1.275
1.374
1.448
1.529
1.679
1.778
1.857
1.905
1.273
1.372
1.448
1.524
1.679
1.778
1.854
1.905
1.275
1.374
1.445
1.527
1.679
1.775
1.854
1.905
Channel Elevation
Number
(m)
73
1.273
74
1.372
75
1.445
76
1.521
77
1.676
78
1.773
79
1.852
80
1.902
RodB3_50.2
RodB3_54.1
RodB3_56.9
RodB3_60.1
RodB3_66.1
RodB3_69.9
RodB3_73
RodB3_75
H.R.
Location
RodE2_50.1
RodE2_54
RodE2_56.9
RodE2_59.9
RodE2_66
RodE2_69.8
RodE2_72.9
RodE2_74.9
0.081
0.180
0.254
0.335
0.485
-0.022
0.056
0.105
0.079
0.178
0.254
0.330
0.485
-0.022
0.054
0.105
0.081
0.180
0.251
0.333
0.485
-0.025
0.054
0.105
Zgrid
(m)
0.079
0.178
0.251
0.328
0.483
-0.027
0.051
0.102
579.7
599.9
611.0
619.8
634.2
615.4
648.0
663.5
584.8
604.7
615.3
623.2
630.4
617.6
650.2
650.2
581.0
595.2
605.4
612.0
637.4
618.5
651.1
666.4
H.R.Tw
(K)
578.4
599.9
612.7
622.3
633.5
613.3
645.3
658.8
9725.9
10090.6
10362.2
10660.8
11214.3
11579.2
11867.7
12044.0
9725.8
10102.4
10391.6
10681.5
11272.1
11649.5
11938.0
11938.0
9722.3
10090.6
10355.4
10658.9
11226.7
11588.6
11881.6
12070.2
H.R. q''
2
(W/m )
9779.8
10152.0
10429.1
10714.9
11298.6
11663.4
11958.2
12149.0
502.4
514.1
523.1
533.4
553.1
566.5
577.4
584.2
502.1
513.8
523.1
532.7
553.1
566.5
577.1
584.2
502.4
514.1
522.8
533.0
553.1
566.2
577.1
584.2
Tcl
(K)
502.1
513.8
522.8
532.4
552.7
565.8
576.7
583.8
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
515.3
528.4
537.7
547.8
566.6
574.7
589.2
597.4
515.9
528.9
538.5
547.8
565.9
575.0
589.3
595.2
515.5
527.6
536.6
546.2
567.1
574.9
589.4
597.9
Tbulk
(K)
514.8
528.1
537.8
547.4
566.2
573.7
588.1
596.3
7870
7637
7479
7316
7029
6913
6712
6604
7858
7628
7467
7316
7039
6907
6711
6633
7865
7651
7499
7341
7021
6909
6709
6598
7878
7642
7478
7323
7035
6926
6726
6618
Re (z)
151.07
141.16
141.45
147.96
165.88
284.06
201.74
182.24
141.22
133.33
135.24
141.61
174.94
273.89
195.75
216.82
148.44
149.31
150.32
162.03
159.67
265.91
192.66
176.19
h (z)
2
(W/m -K)
153.79
141.51
139.13
143.01
167.84
294.73
209.34
194.41
Table SC-3209-A.1: Summary of Steam Cooling Data (cont.)
7.14
6.54
6.53
6.85
7.77
15.28
9.72
8.60
6.59
6.12
6.19
6.50
8.25
14.48
9.37
10.69
6.99
6.99
7.01
7.62
7.42
13.96
9.21
8.25
±σhtc
(W/m2-K)
7.27
6.54
6.39
6.56
7.84
16.01
10.13
9.25
4.73%
4.64%
4.62%
4.63%
4.68%
5.38%
4.82%
4.72%
4.66%
4.59%
4.58%
4.59%
4.72%
5.29%
4.79%
4.93%
4.71%
4.68%
4.67%
4.70%
4.65%
5.25%
4.78%
4.68%
Fractional
Uncertainty
4.73%
4.62%
4.59%
4.59%
4.67%
5.43%
4.84%
4.76%
46.97
42.46
41.55
42.39
45.37
76.18
52.25
46.29
43.84
40.05
39.66
40.57
47.93
73.39
50.69
55.36
46.13
45.00
44.29
46.61
43.62
71.28
49.88
44.71
47.88
42.59
40.87
41.01
45.95
79.23
54.36
49.51
Nu(z)
RBHT Steam Cooling Test SC-3214-A
Matrix test # 7
Test date – 4/26/2005
Steady state time window: 11000 - 11500 sec
Inlet flow: 3.54 m3/min (125.0 ft3/min)
Inlet steam temperature: 417 K (291 °F)
Upper plenum pressure: 271.7 kPa (39.4 psia)
Bundle power: 70.0 kW
Outlet steam temperature: 775 K (936 °F)
Bundle inlet Reynolds number: 13508
Subchannel Centerline Temperatures
The equations below were correlated using the axial subchannel centerline temperature
distribution.
Subchannels D5 and E5 (use for inner 3x3 rod bundle thermocouple locations)
Tcl = -13.233x3 + 84.376x2 - 38.8x + 441.58
Subchannel C5 (use for 5x5 peripheral rod bundle thermocouple locations)
Tcl = -9.9912x3 + 67.516x2 - 20.267x + 434.51
where x is the elevation (m) and Tcl is in (K)
A-207
A-208
A-209
A-210
A-211
A-212
Subchannels D5 and E5 Axial Temperature Profile
3
2
1.5
2
y = -13.233x + 84.376x - 38.8x + 441.58
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
2.5
3
3.5
4
3.5
4
Elevation (m)
Subchannel C5 Axial Temperature Profile
3
y = -9.9912x + 67.516x2 - 20.267x + 434.51
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
Elevation (m)
A-213
2.5
3
A-214
Channel
Number
185
186
187
188
189
190
191
192
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
201
202
204
205
208
193
194
195
196
197
198
199
200
H.R.
Location
RodD3_88.3
RodD3_91.3
RodD3_93.1
RodD3_95.3
RodD3_100.1
RodD3_106.1
RodD3_110
RodD3_142.1
RodC4_88.4
RodC4_91.1
RodC4_93.4
RodC4_95.3
RodC4_100.1
RodC4_106.1
RodC4_110
RodC4_142.2
RodD4_88.3
RodD4_91.3
RodD4_93.2
RodD4_95.2
RodD4_100.1
RodD4_106.1
RodD4_110
RodD4_142.1
RodE4_88.4
RodE4_91.2
RodE4_95.3
RodE4_100.9
RodE4_142.3
RodE3_63.4
RodE3_113.6
RodE3_115.5
RodE3_118.5
RodE3_122.7
RodE3_126.5
RodE3_131.7
RodE3_135.6
1.610
2.885
2.934
3.010
3.117
3.213
3.345
3.444
2.245
2.316
2.421
2.563
3.614
2.243
2.319
2.367
2.418
2.543
2.695
2.794
3.609
2.245
2.314
2.372
2.421
2.543
2.695
2.794
3.612
(m)
2.243
2.319
2.365
2.421
2.543
2.695
2.794
3.609
Elevation
0.417
0.022
0.070
0.146
0.253
0.349
-0.046
0.053
-0.003
0.069
0.173
0.315
0.224
-0.005
0.071
0.119
0.170
0.295
0.447
0.546
0.218
-0.003
0.066
0.124
0.173
0.295
0.447
0.546
0.221
(m)
-0.005
0.071
0.117
0.173
0.295
0.447
0.546
0.218
Zgrid
635.4
798.5
814.0
826.0
827.5
823.5
797.5
811.3
695.7
732.0
760.8
780.7
817.3
701.6
736.8
751.8
763.5
780.3
800.5
781.4
822.1
697.2
733.9
748.1
762.5
777.4
798.5
779.5
826.5
(K)
692.1
733.1
748.6
762.3
781.1
804.0
787.4
812.9
H.R.Tw
15423.1
19007.8
18304.8
17191.2
15633.5
14222.5
12290.7
10845.2
18619.1
18980.8
19508.3
20228.1
7725.9
18903.0
19304.5
19559.5
19829.2
20485.2
21290.2
20564.4
7643.7
542.6
714.2
719.8
728.3
739.6
749.0
760.6
768.2
630.0
640.0
654.4
673.6
778.8
629.7
640.3
647.0
654.0
670.9
690.8
703.2
778.5
630.0
639.6
647.7
654.4
670.9
690.8
703.2
778.6
(K)
629.7
640.3
646.7
654.4
670.9
690.8
703.2
778.5
(W/m2)
18761.1
19161.2
19398.5
19693.5
20328.5
21127.6
20862.5
7299.3
18971.4
19336.7
19648.6
19906.8
20558.8
21373.2
20682.6
7908.6
Tcl
H.R. q''
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
558.1
728.2
735.5
744.6
754.3
761.4
766.7
775.4
641.0
655.3
672.1
691.4
785.2
641.7
656.4
664.5
672.3
689.1
709.1
716.3
785.8
641.2
655.3
664.4
672.4
688.6
708.7
715.9
786.6
(K)
640.1
655.8
663.7
672.4
689.3
709.7
717.2
784.2
Tbulk
11298
8302
8210
8097
7982
7898
7837
7741
9604
9362
9094
8804
7634
9593
9344
9214
9091
8838
8555
8458
7628
9600
9362
9214
9089
8845
8560
8463
7619
9620
9354
9227
9090
8836
8547
8445
7644
Re (z)
Table SC-3214-A.1: Summary of Steam Cooling Data
h(z)
199.58
270.76
233.32
211.31
213.45
229.11
399.99
301.58
340.29
247.47
219.92
226.56
240.84
315.63
240.06
223.92
217.35
224.68
232.91
315.43
210.39
339.08
246.25
234.91
220.91
231.62
238.24
325.16
198.38
(W/m2-K)
360.94
247.83
228.27
218.90
221.22
223.89
297.26
254.82
±σhtc
8.38
11.62
9.79
8.81
9.06
10.08
23.49
16.23
15.57
10.44
9.07
9.33
13.85
14.03
10.01
9.22
8.89
9.19
9.53
13.74
11.36
15.36
10.31
9.73
9.05
9.51
9.76
14.23
10.20
(W/m2-K)
16.76
10.42
9.45
8.99
9.06
9.13
12.70
15.76
Fractional
4.20%
4.29%
4.20%
4.17%
4.24%
4.40%
5.87%
5.38%
4.57%
4.22%
4.12%
4.12%
5.75%
4.45%
4.17%
4.12%
4.09%
4.09%
4.09%
4.36%
5.40%
4.53%
4.19%
4.14%
4.10%
4.10%
4.10%
4.38%
5.14%
Uncertainty
4.64%
4.21%
4.14%
4.11%
4.09%
4.08%
4.27%
6.19%
55.74
51.77
43.98
39.13
38.79
41.07
70.99
52.66
78.21
55.10
47.22
46.70
41.30
72.43
53.32
48.87
46.65
46.53
46.29
61.78
36.04
77.89
54.83
51.28
47.40
48.02
47.38
63.73
33.93
83.12
55.12
49.91
46.97
45.80
44.44
58.11
43.77
Nu(z)
A-215
Channel
Number
225
226
227
229
230
231
232
209
210
211
212
213
214
215
216
177
178
179
180
181
182
183
217
218
219
220
221
222
223
224
H.R.
Location
RodC5_63.7
RodC5_113.6
RodC5_115.7
RodC5_122.7
RodC5_126.7
RodC5_131.6
RodC5_135.7
RodE5_63.6
RodE5_113.6
RodE5_115.4
RodE5_118.7
RodE5_122.6
RodE5_126.6
RodE5_131.6
RodE5_135.6
RodC3_79.8
RodC3_85.6
RodC3_88.5
RodC3_92.4
RodC3_94.4
RodC3_97.2
RodC3_108.8
RodD5_50
RodD5_54.1
RodD5_56.9
RodD5_60
RodD5_66.1
RodD5_69.9
RodD5_72.9
RodD5_74.9
1.270
1.374
1.445
1.524
1.679
1.775
1.852
1.902
2.027
2.174
2.248
2.347
2.398
2.469
2.764
1.615
2.885
2.931
3.015
3.114
3.216
3.343
3.444
(m)
1.618
2.885
2.939
3.117
3.218
3.343
3.447
Elevation
0.076
0.180
0.251
0.330
0.485
-0.025
0.051
0.102
0.227
0.374
0.000
0.099
0.150
0.221
0.516
0.422
0.022
0.067
0.151
0.250
0.352
-0.048
0.053
(m)
0.424
0.022
0.075
0.253
0.354
-0.048
0.056
Zgrid
587.9
609.6
617.4
623.7
640.9
621.2
657.7
674.1
676.1
682.4
690.9
732.3
738.4
762.6
797.5
627.7
795.7
806.4
813.4
817.8
815.3
790.4
808.0
(K)
634.2
793.9
813.9
826.0
824.5
802.0
818.2
H.R.Tw
13688.9
14228.2
14597.1
15004.3
15806.0
16305.7
16699.0
16961.5
17540.5
18300.9
18683.9
19196.5
19459.5
19826.0
20901.8
15492.4
19120.9
18463.5
17256.6
15831.9
14371.2
12543.2
11082.0
(W/m )
15122.1
18536.2
17796.8
15329.3
13920.3
12190.0
10745.5
2
H.R. q''
501.3
513.3
521.8
531.6
551.7
564.6
575.0
582.0
599.4
620.1
630.4
644.2
651.2
660.9
699.4
543.3
714.2
719.5
728.9
739.4
749.3
760.4
768.2
(K)
543.6
714.2
720.4
739.6
749.5
760.4
768.4
Tcl
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
515.7
529.3
537.7
546.9
566.5
574.0
588.8
597.4
612.2
630.5
640.5
658.9
665.7
677.9
715.8
557.4
727.8
734.0
743.0
752.4
760.3
765.4
774.8
(K)
558.7
727.5
736.0
754.0
762.0
767.3
776.7
Tbulk
12412
12032
11808
11572
11099
10928
10606
10427
10132
9791
9613
9304
9193
9005
8465
11315
8307
8228
8117
8003
7911
7852
7747
11283
8311
8204
7984
7891
7830
7726
Re (z)
Table SC-3214-A.1: Summary of Steam Cooling Data (cont.)
189.60
177.15
183.15
195.41
212.57
345.95
242.40
221.00
274.29
352.58
370.45
261.59
267.87
234.06
255.70
220.28
281.41
254.91
244.94
242.12
260.99
501.43
333.87
(W/m -K)
200.42
278.99
228.48
212.84
222.74
351.41
258.88
2
h(z)
Fractional
8.05
7.38
7.64
8.21
8.98
16.52
10.44
9.31
12.02
16.39
17.39
11.12
11.41
9.71
10.66
9.41
12.14
10.85
10.47
10.51
11.85
33.50
18.71
4.25%
4.17%
4.17%
4.20%
4.22%
4.77%
4.31%
4.21%
4.38%
4.65%
4.69%
4.25%
4.26%
4.15%
4.17%
4.27%
4.32%
4.26%
4.28%
4.34%
4.54%
6.68%
5.60%
(W/m -K) Uncertainty
8.48
4.23%
12.17
4.36%
9.65
4.22%
9.10
4.27%
9.81
4.40%
19.32
5.50%
13.03
5.03%
2
±σhtc
58.89
53.16
53.81
56.11
58.15
92.93
62.84
56.14
67.31
82.97
85.23
57.79
58.30
49.64
50.13
61.63
53.86
48.19
45.50
44.16
46.89
89.22
58.36
55.89
53.43
43.03
38.70
39.89
62.30
45.10
Nu(z)
A-216
Channel
Number
153
154
155
156
157
158
159
160
105
106
107
108
109
110
111
112
57
58
59
60
61
62
63
64
137
138
139
140
141
142
143
144
H.R.
Location
RodB5_41
RodB5_52.9
RodB5_55
RodB5_57.8
RodB5_64
RodB5_73.9
RodB5_75.9
RodB5_76.9
RodF5_41
RodF5_53.1
RodF5_55
RodF5_57.8
RodF5_64
RodF5_73.8
RodF5_75.8
RodF5_76.8
RodC2_41
RodC2_53.1
RodC2_55
RodC2_57.8
RodC2_63.9
RodC2_73.8
RodC2_75.8
RodC2_76.8
RodC6_40.9
RodC6_52.8
RodC6_54.8
RodC6_57.8
RodC6_63.8
RodC6_73.7
RodC6_75.8
RodC6_76.8
1.039
1.341
1.392
1.468
1.621
1.872
1.925
1.951
1.041
1.349
1.397
1.468
1.623
1.875
1.925
1.951
1.041
1.349
1.397
1.468
1.626
1.875
1.925
1.951
(m)
1.041
1.344
1.397
1.468
1.626
1.877
1.928
1.953
Elevation
0.340
0.147
0.198
0.274
0.427
0.072
0.125
0.150
0.343
0.155
0.203
0.274
0.429
0.074
0.125
0.150
0.343
0.155
0.203
0.274
0.432
0.074
0.125
0.150
(m)
0.343
0.150
0.203
0.274
0.432
0.077
0.128
0.153
Zgrid
559.0
600.9
608.5
617.4
635.7
665.1
674.5
680.2
555.9
597.5
602.9
608.7
624.8
652.1
662.6
666.7
556.8
594.8
601.9
609.8
626.5
651.3
662.9
666.5
(K)
564.6
603.0
610.4
617.0
633.7
664.6
677.1
681.9
H.R.Tw
12365.8
14015.6
14292.9
14709.0
15540.5
16910.5
17200.9
17340.4
12427.7
14034.0
14286.9
14660.8
15471.7
16786.5
17051.9
17185.9
475.1
504.7
510.2
518.7
536.5
567.6
574.5
577.7
475.3
505.5
510.7
518.7
536.8
568.0
574.5
577.7
475.3
505.5
510.7
518.7
537.1
568.0
574.5
577.7
(K)
475.3
504.9
510.7
518.7
537.1
568.3
574.8
578.1
(W/m2)
12446.9
14027.8
14307.0
14679.0
15502.9
16817.7
17084.0
17215.6
12367.9
13975.4
14228.3
14599.7
15424.2
16724.7
16990.3
17124.0
Tcl
H.R. q''
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
489.1
520.7
526.6
535.1
553.0
583.9
591.1
594.8
488.8
520.8
526.1
533.7
551.4
582.0
589.1
592.6
488.9
520.4
525.9
533.9
552.0
581.8
589.2
592.5
(K)
490.2
521.3
527.3
535.0
553.2
584.3
591.8
595.4
Tbulk
13225
12270
12107
11877
11421
10711
10556
10480
13236
12267
12120
11915
11460
10752
10598
10526
13231
12279
12125
11910
11447
10755
10597
10527
13189
12254
12086
11879
11417
10701
10542
10468
Re (z)
Table SC-3214-A.1: Summary of Steam Cooling Data (cont.)
h(z)
176.82
174.73
174.46
178.84
187.84
208.11
206.26
203.11
185.05
183.04
186.01
195.39
210.96
239.37
232.15
231.79
182.10
187.68
187.24
192.25
207.04
240.86
230.64
231.39
(W/m2-K)
167.37
171.69
172.25
179.19
192.56
209.53
200.44
199.04
±σhtc
Fractional
7.57
7.29
7.25
7.43
7.79
8.67
8.56
8.40
7.99
7.70
7.82
8.25
8.94
10.27
9.87
9.83
7.85
7.94
7.89
8.10
8.76
10.36
9.80
9.83
4.28%
4.17%
4.16%
4.15%
4.15%
4.17%
4.15%
4.13%
4.32%
4.20%
4.20%
4.22%
4.24%
4.29%
4.25%
4.24%
4.31%
4.23%
4.21%
4.21%
4.23%
4.30%
4.25%
4.25%
(W/m2-K) Uncertainty
7.08
4.23%
7.14
4.16%
7.14
4.15%
7.45
4.16%
8.03
4.17%
8.76
4.18%
8.30
4.14%
8.22
4.13%
58.79
53.59
52.72
52.89
53.12
54.59
53.18
51.91
61.58
56.12
56.28
57.99
59.90
63.08
60.14
59.56
60.57
57.61
56.67
57.04
58.70
63.49
59.74
59.46
55.49
52.58
51.95
53.00
54.44
54.90
51.59
50.80
Nu(z)
A-217
Channel
Number
161
162
163
164
165
166
167
168
98
99
100
101
102
103
104
65
66
67
68
69
70
71
72
129
130
131
132
133
134
135
136
H.R.
Location
RodB4_88.4
RodB4_91.3
RodB4_93.3
RodB4_95.1
RodB4_100
RodB4_106
RodB4_109.9
RodB4_142.3
RodF4_85.6
RodF4_88.4
RodF4_92.4
RodF4_94.3
RodF4_97.2
RodF4_108.8
RodF4_111
RodD2_103.2
RodD2_106
RodD2_112.6
RodD2_114.9
RodD2_117.4
RodD2_120.8
RodD2_124.8
RodD2_128.6
RodD6_103.1
RodD6_106
RodD6_112.9
RodD6_114.9
RodD6_116.8
RodD6_120.9
RodD6_124.8
RodD6_128.7
2.619
2.692
2.868
2.918
2.967
3.071
3.170
3.269
2.621
2.692
2.860
2.918
2.982
3.068
3.170
3.266
2.174
2.245
2.347
2.395
2.469
2.764
2.819
(m)
2.245
2.319
2.370
2.416
2.540
2.692
2.791
3.614
Elevation
0.371
0.445
0.004
0.055
0.103
0.207
0.306
0.405
0.373
0.445
-0.004
0.055
0.118
0.204
0.306
0.403
0.374
-0.003
0.099
0.147
0.221
0.516
-0.044
(m)
-0.003
0.071
0.122
0.168
0.292
0.445
0.544
0.224
Zgrid
768.6
776.8
771.5
793.4
803.5
806.6
804.8
805.4
775.5
784.8
774.9
795.7
804.9
810.4
807.2
804.3
686.1
692.0
734.6
748.1
763.9
792.5
764.3
(K)
690.4
728.8
740.2
754.1
769.8
792.5
770.0
821.0
H.R.Tw
20807.2
21187.2
19335.3
18544.9
17793.8
16174.5
14629.6
13090.2
20780.2
21152.3
19407.1
18510.0
17532.2
16202.8
14637.7
13150.7
665.0
674.4
696.0
702.1
707.7
719.6
730.4
740.7
665.3
674.4
695.1
702.1
709.5
719.3
730.4
740.5
606.9
616.3
629.7
636.0
645.7
683.3
690.1
(K)
616.3
626.0
632.7
638.7
654.9
674.4
686.7
771.5
(W/m2)
18606.0
18977.8
19235.4
19466.6
20095.4
20865.5
20200.1
7854.0
18359.8
18727.5
19253.3
19503.9
19884.2
20997.8
20143.8
Tcl
H.R. q''
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
682.3
691.4
708.6
717.3
723.7
734.1
742.8
751.5
683.7
692.8
708.4
717.7
725.4
734.5
743.2
751.1
620.1
628.9
647.2
654.7
665.4
701.5
702.5
(K)
628.7
643.1
650.6
657.9
674.0
694.1
700.6
779.8
Tbulk
8939
8804
8562
8445
8360
8227
8119
8014
8918
8784
8565
8440
8338
8222
8114
8019
9981
9819
9498
9372
9200
8661
8646
9823
9567
9440
9319
9064
8766
8673
7692
Re (z)
Table SC-3214-A.1: Summary of Steam Cooling Data (cont.)
h(z)
240.97
248.22
307.38
243.58
222.86
223.19
236.23
242.94
226.44
229.77
291.92
237.17
220.63
213.44
228.81
247.27
278.36
297.00
220.20
208.76
201.83
230.57
326.01
(W/m2-K)
301.10
221.44
214.69
202.39
209.81
211.97
291.03
190.55
±σhtc
Fractional
9.95
10.26
13.51
10.28
9.33
9.51
10.43
11.16
9.27
9.40
12.67
9.97
9.24
9.02
10.02
11.40
12.10
13.05
9.08
8.53
8.20
9.45
14.39
4.13%
4.13%
4.40%
4.22%
4.18%
4.26%
4.42%
4.59%
4.09%
4.09%
4.34%
4.20%
4.19%
4.22%
4.38%
4.61%
4.35%
4.39%
4.13%
4.09%
4.06%
4.10%
4.41%
(W/m2-K) Uncertainty
13.32
4.42%
9.18
4.14%
8.84
4.12%
8.26
4.08%
8.56
4.08%
8.62
4.07%
12.54
4.31%
9.66
5.07%
50.63
51.16
61.15
47.61
43.00
42.18
43.89
44.39
47.43
47.22
58.10
46.32
42.43
40.31
42.48
45.21
67.07
70.14
49.92
46.54
43.97
46.54
65.67
71.15
50.65
48.30
44.81
44.86
43.45
58.85
33.00
Nu(z)
A-218
Channel
Number
73
74
75
76
77
78
79
80
169
170
171
172
173
174
175
176
89
90
91
92
93
94
95
96
121
122
123
124
125
126
127
128
H.R.
Location
RodE2_50.1
RodE2_54
RodE2_56.9
RodE2_59.9
RodE2_66
RodE2_69.8
RodE2_72.9
RodE2_74.9
RodB3_50.2
RodB3_54.1
RodB3_56.9
RodB3_60.1
RodB3_66.1
RodB3_69.9
RodB3_73
RodB3_75
RodF3_50.1
RodF3_54
RodF3_57
RodF3_60
RodF3_66.1
RodF3_70
RodF3_73
RodF3_75
RodE6_50.2
RodE6_54.1
RodE6_57
RodE6_60.2
RodE6_66.1
RodE6_70
RodE6_73.1
RodE6_75
1.275
1.374
1.448
1.529
1.679
1.778
1.857
1.905
1.273
1.372
1.448
1.524
1.679
1.778
1.854
1.905
1.275
1.374
1.445
1.527
1.679
1.775
1.854
1.905
(m)
1.273
1.372
1.445
1.521
1.676
1.773
1.852
1.902
Elevation
0.081
0.180
0.254
0.335
0.485
-0.022
0.056
0.105
0.079
0.178
0.254
0.330
0.485
-0.022
0.054
0.105
0.081
0.180
0.251
0.333
0.485
-0.025
0.054
0.105
(m)
0.079
0.178
0.251
0.328
0.483
-0.027
0.051
0.102
Zgrid
582.3
599.2
607.0
613.9
631.5
612.7
648.8
662.8
586.0
602.6
610.4
617.6
627.1
616.5
652.8
670.9
578.2
589.0
598.0
603.8
626.7
609.5
643.9
658.9
(K)
582.0
599.8
609.9
616.1
631.0
611.4
647.4
662.2
H.R.Tw
13648.0
14161.4
14543.5
14964.3
15738.8
16250.1
16658.5
16908.2
13658.7
14187.8
14595.6
15000.6
15830.3
16358.1
16766.2
17036.8
497.7
508.2
516.4
525.7
543.5
555.8
565.7
571.8
497.5
508.0
516.4
525.1
543.5
555.8
565.4
571.8
497.7
508.2
516.1
525.4
543.5
555.4
565.4
571.8
(K)
497.5
508.0
516.1
524.8
543.2
555.1
565.0
571.5
(W/m2)
13734.8
14258.7
14648.7
15051.5
15870.5
16380.7
16796.6
17066.1
13655.6
14173.4
14546.0
14970.2
15767.4
16271.6
16684.6
16950.7
Tcl
H.R. q''
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
511.8
523.4
531.5
540.4
558.2
565.3
579.5
587.0
512.2
523.7
532.0
540.5
557.5
565.9
579.9
588.4
511.1
521.7
529.7
538.4
557.4
564.5
578.5
586.4
(K)
511.6
523.3
531.7
540.0
557.8
564.5
578.8
586.6
Tbulk
12525
12195
11974
11739
11296
11129
10805
10644
12513
12186
11959
11736
11313
11114
10796
10615
12545
12242
12020
11790
11315
11147
10829
10658
12533
12199
11967
11749
11304
11146
10822
10651
Re (z)
Table SC-3214-A.1: Summary of Steam Cooling Data (cont.)
h(z)
193.75
186.80
192.54
203.49
214.75
342.29
240.56
223.16
185.09
179.92
186.30
194.60
227.16
323.02
230.02
206.49
203.58
210.50
212.99
229.06
227.38
360.98
254.86
233.74
(W/m2-K)
194.96
186.33
187.43
197.78
216.96
349.35
244.67
225.78
±σhtc
Fractional
8.28
7.87
8.12
8.62
9.10
16.31
10.35
9.43
7.84
7.53
7.80
8.17
9.72
15.04
9.78
8.59
8.79
9.08
9.16
9.94
9.74
17.53
11.06
9.96
4.27%
4.21%
4.22%
4.24%
4.24%
4.77%
4.30%
4.23%
4.23%
4.18%
4.19%
4.20%
4.28%
4.66%
4.25%
4.16%
4.32%
4.31%
4.30%
4.34%
4.29%
4.86%
4.34%
4.26%
(W/m2-K) Uncertainty
8.32
4.27%
7.83
4.20%
7.84
4.18%
8.31
4.20%
9.19
4.23%
16.70
4.78%
10.49
4.29%
9.53
4.22%
60.78
56.90
57.46
59.39
59.96
93.93
63.76
58.10
58.00
54.76
55.52
56.78
63.54
88.51
60.91
53.59
63.98
64.40
63.85
67.18
63.61
99.25
67.73
60.95
61.20
56.78
55.90
57.78
60.63
96.05
64.97
58.84
Nu(z)
RBHT Steam Cooling Test SC-3214-B
Matrix test # 8
Test date – 4/26/2005
Steady state time window: 12800 - 13800 sec
Inlet flow: 4.81 m3/min (169.8 ft3/min)
Inlet steam temperature: 419 K (294 °F)
Upper plenum pressure: 271.7 kPa (39.4 psia)
Bundle power: 95.0 kW
Outlet steam temperature: 770 K (927 °F)
Bundle inlet Reynolds number: 18198
Subchannel Centerline Temperatures
The equations below were correlated using the axial subchannel centerline temperature
distribution.
Subchannels D5 and E5 (use for inner 3x3 rod bundle thermocouple locations)
Tcl = -13.119x3 + 83.696x2 - 39.122x + 442.54
Subchannel C5 (use for 5x5 peripheral rod bundle thermocouple locations)
Tcl = -8.1355x3 + 57.708x2 - 7.379x + 431.3
where x is the elevation (m) and Tcl is in (K)
A-219
A-220
A-221
A-222
A-223
A-224
Subchannels D5 and E5 Axial Temperature Profile
3
2
y = -13.119x + 83.696x - 39.122x + 442.54
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
2.5
3
3.5
4
3.5
4
Elevation (m)
Subchannel C5 Axial Temperature Profile
y = -8.1355x3 + 57.708x2 - 7.379x + 431.3
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
Elevation (m)
A-225
2.5
3
A-226
Channel
Number
185
186
187
188
189
190
191
192
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
201
202
204
205
208
193
194
195
196
197
198
199
200
H.R.
Location
RodD3_88.3
RodD3_91.3
RodD3_93.1
RodD3_95.3
RodD3_100.1
RodD3_106.1
RodD3_110
RodD3_142.1
RodC4_88.4
RodC4_91.1
RodC4_93.4
RodC4_95.3
RodC4_100.1
RodC4_106.1
RodC4_110
RodC4_142.2
RodD4_88.3
RodD4_91.3
RodD4_93.2
RodD4_95.2
RodD4_100.1
RodD4_106.1
RodD4_110
RodD4_142.1
RodE4_88.4
RodE4_91.2
RodE4_95.3
RodE4_100.9
RodE4_142.3
RodE3_63.4
RodE3_113.6
RodE3_115.5
RodE3_118.5
RodE3_122.7
RodE3_126.5
RodE3_131.7
RodE3_135.6
1.610
2.885
2.934
3.010
3.117
3.213
3.345
3.444
2.245
2.316
2.421
2.563
3.614
2.243
2.319
2.367
2.418
2.543
2.695
2.794
3.609
2.245
2.314
2.372
2.421
2.543
2.695
2.794
3.612
(m)
2.243
2.319
2.365
2.421
2.543
2.695
2.794
3.609
Elevation
0.417
0.022
0.070
0.146
0.253
0.349
-0.046
0.053
-0.003
0.069
0.173
0.315
0.224
-0.005
0.071
0.119
0.170
0.295
0.447
0.546
0.218
-0.003
0.066
0.124
0.173
0.295
0.447
0.546
0.221
(m)
-0.005
0.071
0.117
0.173
0.295
0.447
0.546
0.218
Zgrid
636.3
803.7
820.3
831.4
827.0
823.0
797.1
811.7
700.8
738.5
766.2
782.4
816.6
707.3
743.7
759.5
770.5
785.9
804.4
786.1
821.4
702.8
742.3
757.9
772.2
783.4
804.2
785.4
826.0
(K)
697.4
741.4
757.5
770.0
786.7
809.2
793.0
812.6
H.R.Tw
20907.3
25772.3
24814.3
23301.0
21184.4
19270.1
16651.9
14687.5
25249.3
25736.8
26451.8
27429.4
10453.9
25634.9
26180.9
26527.8
26892.2
27785.0
28878.0
27891.4
10345.8
541.8
711.3
716.9
725.3
736.4
745.7
757.2
764.6
628.2
638.0
652.2
671.2
775.1
627.8
638.3
644.9
651.8
668.5
688.2
700.5
774.8
628.2
637.6
645.6
652.2
668.5
688.2
700.5
775.0
(K)
627.8
638.3
644.6
652.2
668.5
688.2
700.5
774.8
(W/m2)
25436.9
25976.4
26300.4
26697.6
27564.1
28644.1
28288.4
9872.2
25731.1
26227.8
26651.3
27001.4
27884.9
28989.5
28056.2
10704.9
Tcl
H.R. q''
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
557.5
726.7
734.1
743.0
751.5
758.6
763.8
772.5
640.3
654.7
671.2
689.7
782.0
641.0
655.9
664.0
671.6
688.1
707.6
714.7
782.6
640.6
655.1
664.3
672.2
687.6
707.5
714.6
783.5
(K)
639.4
655.5
663.4
671.8
688.2
708.4
715.9
781.1
Tbulk
16001
11771
11639
11483
11337
11219
11134
10995
13605
13258
12885
12490
10848
13585
13231
13044
12875
12524
12132
11995
10839
13596
13250
13037
12863
12532
12133
11997
10825
13626
13240
13058
12871
12521
12117
11973
10861
Re (z)
Table SC-3214-B.1: Summary of Steam Cooling Data
h(z)
265.60
334.78
288.01
263.56
280.63
299.10
500.01
374.22
417.17
307.20
278.39
295.92
302.29
387.05
298.08
277.77
271.90
283.96
298.12
391.02
266.45
413.65
300.61
284.83
269.96
291.21
299.88
396.45
251.67
(W/m2-K)
438.45
302.48
279.43
271.83
279.80
284.08
366.97
313.36
±σhtc
10.60
13.47
11.35
10.34
11.32
12.51
27.39
18.78
17.79
12.17
10.82
11.54
16.25
16.08
11.70
10.76
10.49
10.97
11.53
15.97
13.51
17.47
11.80
11.07
10.39
11.28
11.60
16.21
12.19
(W/m2-K)
18.92
11.92
10.86
10.50
10.81
10.94
14.72
17.85
Fractional
3.99%
4.02%
3.94%
3.92%
4.03%
4.18%
5.48%
5.02%
4.26%
3.96%
3.89%
3.90%
5.38%
4.16%
3.92%
3.88%
3.86%
3.86%
3.87%
4.09%
5.07%
4.22%
3.93%
3.88%
3.85%
3.87%
3.87%
4.09%
4.84%
Uncertainty
4.31%
3.94%
3.89%
3.86%
3.86%
3.85%
4.01%
5.70%
74.28
64.21
54.44
48.96
51.27
53.91
89.23
65.70
96.03
68.49
59.89
61.21
52.14
88.94
66.29
60.69
58.44
58.94
59.43
76.83
45.91
95.15
66.97
62.19
57.95
60.50
59.79
77.91
43.29
101.13
67.32
61.13
58.40
58.06
56.54
71.93
54.14
Nu(z)
A-227
Channel
Number
225
226
227
229
230
231
232
209
210
211
212
213
214
215
216
177
178
179
180
181
182
183
217
218
219
220
221
222
223
224
H.R.
Location
RodC5_63.7
RodC5_113.6
RodC5_115.7
RodC5_122.7
RodC5_126.7
RodC5_131.6
RodC5_135.7
RodE5_63.6
RodE5_113.6
RodE5_115.4
RodE5_118.7
RodE5_122.6
RodE5_126.6
RodE5_131.6
RodE5_135.6
RodC3_79.8
RodC3_85.6
RodC3_88.5
RodC3_92.4
RodC3_94.4
RodC3_97.2
RodC3_108.8
RodD5_50
RodD5_54.1
RodD5_56.9
RodD5_60
RodD5_66.1
RodD5_69.9
RodD5_72.9
RodD5_74.9
1.270
1.374
1.445
1.524
1.679
1.775
1.852
1.902
2.027
2.174
2.248
2.347
2.398
2.469
2.764
1.615
2.885
2.931
3.015
3.114
3.216
3.343
3.444
(m)
1.618
2.885
2.939
3.117
3.218
3.343
3.447
Elevation
0.076
0.180
0.251
0.330
0.485
-0.025
0.051
0.102
0.227
0.374
0.000
0.099
0.150
0.221
0.516
0.422
0.022
0.067
0.151
0.250
0.352
-0.048
0.053
(m)
0.424
0.022
0.075
0.253
0.354
-0.048
0.056
Zgrid
593.5
612.2
617.9
626.2
645.4
624.6
663.2
678.5
677.9
686.7
696.1
737.9
743.6
767.4
804.2
629.9
802.3
813.8
820.8
819.5
815.2
790.6
810.0
(K)
637.2
801.7
821.5
827.4
827.5
803.8
820.9
H.R.Tw
18565.9
19296.3
19796.7
20349.0
21437.3
22115.1
22650.4
23005.8
23785.5
24820.9
25337.0
26031.8
26388.7
26888.0
28349.6
21011.4
25932.0
25038.9
23401.7
21465.2
19479.8
16998.8
15014.5
(W/m )
20507.0
25139.1
24132.8
20780.7
18866.1
16519.0
14557.9
2
H.R. q''
501.0
512.8
521.2
530.9
550.7
563.5
573.8
580.7
597.9
618.3
628.5
642.1
649.1
658.7
696.7
542.5
711.3
716.6
725.8
736.2
746.0
757.0
764.6
(K)
542.8
711.3
717.4
736.4
746.2
757.0
764.8
Tcl
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
516.4
529.4
537.3
546.8
566.5
573.7
588.7
597.0
611.2
629.7
639.8
658.1
664.8
676.8
714.7
557.0
726.5
732.8
741.7
750.1
757.5
762.6
772.2
(K)
558.5
726.4
734.8
751.6
759.8
764.8
774.2
Tbulk
17531
17020
16719
16377
15703
15470
15006
14761
14360
13870
13617
13179
13026
12762
11996
16019
11776
11662
11505
11362
11237
11154
11000
15968
11778
11627
11336
11200
11119
10969
Re (z)
Table SC-3214-B.1: Summary of Steam Cooling Data (cont.)
240.84
232.89
245.69
256.24
271.62
434.49
303.92
282.18
356.51
435.70
449.63
326.05
335.01
296.73
316.50
288.33
341.91
309.11
295.61
308.99
337.85
607.01
397.25
(W/m -K)
260.67
333.91
278.41
274.13
278.49
423.06
311.39
2
h(z)
Fractional
9.65
9.21
9.76
10.21
10.84
19.46
12.30
11.23
14.81
18.91
19.58
13.03
13.42
11.61
12.40
11.68
13.79
12.30
11.81
12.68
14.56
36.95
20.28
4.01%
3.96%
3.97%
3.99%
3.99%
4.48%
4.05%
3.98%
4.15%
4.34%
4.36%
4.00%
4.01%
3.91%
3.92%
4.05%
4.03%
3.98%
3.99%
4.10%
4.31%
6.09%
5.11%
(W/m -K) Uncertainty
10.44
4.00%
13.53
4.05%
10.99
3.95%
11.07
4.04%
11.52
4.14%
21.31
5.04%
14.46
4.64%
2
±σhtc
74.68
69.88
72.25
73.60
74.32
116.81
78.81
71.74
87.68
102.71
103.62
72.16
73.06
63.07
62.19
80.74
65.61
58.58
55.05
56.61
61.02
108.59
69.78
72.73
64.09
52.55
50.08
50.09
75.36
54.50
Nu(z)
A-228
Channel
Number
153
154
155
156
157
158
159
160
105
106
107
108
109
110
111
112
57
58
59
60
61
62
63
64
137
138
139
140
141
142
143
144
H.R.
Location
RodB5_41
RodB5_52.9
RodB5_55
RodB5_57.8
RodB5_64
RodB5_73.9
RodB5_75.9
RodB5_76.9
RodF5_41
RodF5_53.1
RodF5_55
RodF5_57.8
RodF5_64
RodF5_73.8
RodF5_75.8
RodF5_76.8
RodC2_41
RodC2_53.1
RodC2_55
RodC2_57.8
RodC2_63.9
RodC2_73.8
RodC2_75.8
RodC2_76.8
RodC6_40.9
RodC6_52.8
RodC6_54.8
RodC6_57.8
RodC6_63.8
RodC6_73.7
RodC6_75.8
RodC6_76.8
1.039
1.341
1.392
1.468
1.621
1.872
1.925
1.951
1.041
1.349
1.397
1.468
1.623
1.875
1.925
1.951
1.041
1.349
1.397
1.468
1.626
1.875
1.925
1.951
(m)
1.041
1.344
1.397
1.468
1.626
1.877
1.928
1.953
Elevation
0.340
0.147
0.198
0.274
0.427
0.072
0.125
0.150
0.343
0.155
0.203
0.274
0.429
0.074
0.125
0.150
0.343
0.155
0.203
0.274
0.432
0.074
0.125
0.150
(m)
0.343
0.150
0.203
0.274
0.432
0.077
0.128
0.153
Zgrid
563.4
604.0
611.0
619.5
639.2
669.9
677.9
682.9
559.5
599.6
604.2
608.6
626.8
656.0
665.2
668.3
559.3
596.3
602.7
610.6
628.6
654.2
664.0
666.7
(K)
568.0
604.7
611.4
617.5
636.7
669.8
680.7
685.0
H.R.Tw
16768.7
19006.5
19382.7
19946.6
21075.4
22935.1
23330.6
23518.0
16850.2
19030.4
19373.3
19878.4
20977.8
22762.8
23123.8
23304.0
476.8
505.6
510.9
519.1
536.3
566.3
572.9
576.1
477.0
506.4
511.4
519.1
536.6
566.7
572.9
576.1
477.0
506.4
511.4
519.1
536.9
566.7
572.9
576.1
(K)
477.0
505.8
511.4
519.1
536.9
567.0
573.3
576.4
(W/m2)
16879.3
19024.3
19402.5
19907.2
21025.8
22809.9
23170.4
23350.4
16772.6
18953.6
19296.3
19801.8
20919.6
22685.7
23045.4
23226.3
Tcl
H.R. q''
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
491.2
522.0
527.6
535.8
553.4
583.6
590.4
593.9
490.8
521.9
526.9
534.0
551.6
581.6
588.3
591.5
490.7
521.4
526.6
534.4
552.1
581.2
588.1
591.2
(K)
492.2
522.3
528.1
535.5
553.5
584.1
591.2
594.5
Tbulk
18612
17307
17088
16774
16142
15160
14954
14851
18633
17310
17114
16843
16206
15223
15017
14923
18635
17332
17124
16830
16187
15233
15023
14931
18569
17293
17068
16787
16140
15145
14932
14833
Re (z)
Table SC-3214-B.1: Summary of Steam Cooling Data (cont.)
h(z)
232.48
231.66
232.35
238.32
245.65
265.72
266.71
264.27
245.07
244.83
250.52
266.70
278.86
305.69
300.79
303.28
244.54
252.84
253.86
259.70
273.66
311.09
303.61
307.85
(W/m2-K)
222.54
230.85
232.99
242.88
252.69
266.31
258.87
258.10
±σhtc
Fractional
9.45
9.18
9.18
9.41
9.66
10.46
10.48
10.35
10.07
9.80
10.04
10.76
11.23
12.38
12.10
12.20
10.06
10.20
10.21
10.44
10.99
12.66
12.25
12.44
4.07%
3.96%
3.95%
3.95%
3.93%
3.94%
3.93%
3.92%
4.11%
4.00%
4.01%
4.04%
4.03%
4.05%
4.02%
4.02%
4.11%
4.03%
4.02%
4.02%
4.02%
4.07%
4.04%
4.04%
(W/m2-K) Uncertainty
8.95
4.02%
9.14
3.96%
9.21
3.95%
9.63
3.96%
9.99
3.95%
10.51
3.94%
10.14
3.92%
10.09
3.91%
76.88
70.82
70.03
70.35
69.40
69.75
68.87
67.68
81.13
74.86
75.63
79.09
79.14
80.63
78.07
78.12
80.96
77.42
76.70
76.95
77.56
82.12
78.83
79.35
73.41
70.51
70.13
71.76
71.38
69.82
66.73
66.01
Nu(z)
A-229
Channel
Number
161
162
163
164
165
166
167
168
98
99
100
101
102
103
104
65
66
67
68
69
70
71
72
129
130
131
132
133
134
135
136
H.R.
Location
RodB4_88.4
RodB4_91.3
RodB4_93.3
RodB4_95.1
RodB4_100
RodB4_106
RodB4_109.9
RodB4_142.3
RodF4_85.6
RodF4_88.4
RodF4_92.4
RodF4_94.3
RodF4_97.2
RodF4_108.8
RodF4_111
RodD2_103.2
RodD2_106
RodD2_112.6
RodD2_114.9
RodD2_117.4
RodD2_120.8
RodD2_124.8
RodD2_128.6
RodD6_103.1
RodD6_106
RodD6_112.9
RodD6_114.9
RodD6_116.8
RodD6_120.9
RodD6_124.8
RodD6_128.7
2.619
2.692
2.868
2.918
2.967
3.071
3.170
3.269
2.621
2.692
2.860
2.918
2.982
3.068
3.170
3.266
2.174
2.245
2.347
2.395
2.469
2.764
2.819
(m)
2.245
2.319
2.370
2.416
2.540
2.692
2.791
3.614
Elevation
0.371
0.445
0.004
0.055
0.103
0.207
0.306
0.405
0.373
0.445
-0.004
0.055
0.118
0.204
0.306
0.403
0.374
-0.003
0.099
0.147
0.221
0.516
-0.044
(m)
-0.003
0.071
0.122
0.168
0.292
0.445
0.544
0.224
Zgrid
770.3
779.7
777.8
801.0
809.0
806.2
804.7
805.7
782.5
791.8
780.5
799.9
808.6
808.3
804.7
800.6
690.1
697.1
740.1
752.9
767.0
799.1
767.0
(K)
695.6
735.9
746.3
760.4
773.0
798.8
776.7
819.9
H.R.Tw
28222.8
28740.8
26227.5
25150.7
24129.9
21927.2
19833.2
17739.4
28223.7
28728.1
26357.9
25132.4
23803.1
21995.3
19864.4
17842.4
661.6
671.0
692.9
699.1
704.9
717.2
728.6
739.7
661.9
671.0
691.9
699.1
706.7
716.9
728.6
739.4
604.4
613.6
626.7
632.9
642.4
679.9
686.9
(K)
613.6
623.1
629.6
635.5
651.6
671.0
683.4
774.4
(W/m2)
25234.3
25737.7
26088.1
26400.8
27256.9
28304.2
27400.3
10632.0
24902.5
25402.3
26113.9
26453.2
26971.0
28484.0
27323.2
Tcl
H.R. q''
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
679.7
689.1
707.0
716.0
722.2
732.1
741.3
750.7
682.0
691.1
706.7
715.9
723.7
732.2
741.3
749.6
618.7
627.5
645.6
652.9
663.2
699.8
700.3
(K)
627.3
641.9
649.1
656.3
671.8
692.3
699.0
782.0
Tbulk
12699
12502
12143
11970
11854
11675
11511
11351
12650
12460
12149
11973
11827
11673
11511
11370
14157
13926
13475
13300
13063
12285
12276
13933
13565
13391
13220
12871
12437
12302
10848
Re (z)
Table SC-3214-B.1: Summary of Steam Cooling Data (cont.)
h(z)
311.72
317.26
370.50
296.15
278.21
295.93
312.85
322.21
280.96
285.24
356.86
299.01
280.41
288.84
313.49
349.89
348.97
364.80
276.18
264.46
259.69
286.81
409.10
(W/m2-K)
369.18
273.86
268.29
253.74
269.26
265.71
352.46
280.07
±σhtc
Fractional
12.18
12.39
15.17
11.70
10.95
12.00
13.17
14.14
10.82
10.98
14.48
11.83
11.08
11.64
13.19
15.76
14.26
14.99
10.73
10.20
9.97
11.07
16.98
3.91%
3.91%
4.09%
3.95%
3.94%
4.05%
4.21%
4.39%
3.85%
3.85%
4.06%
3.96%
3.95%
4.03%
4.21%
4.50%
4.09%
4.11%
3.89%
3.86%
3.84%
3.86%
4.15%
(W/m2-K) Uncertainty
15.25
4.13%
10.66
3.89%
10.39
3.87%
9.75
3.84%
10.38
3.85%
10.18
3.83%
14.17
4.02%
14.32
5.11%
65.85
65.71
73.94
58.03
53.84
56.16
58.30
58.97
59.06
58.83
71.27
58.61
54.11
54.80
58.42
64.17
84.35
86.43
62.83
59.19
56.84
58.10
82.79
87.51
62.82
60.56
56.37
57.85
54.67
71.52
48.31
Nu(z)
A-230
Channel
Number
73
74
75
76
77
78
79
80
169
170
171
172
173
174
175
176
89
90
91
92
93
94
95
96
121
122
123
124
125
126
127
128
H.R.
Location
RodE2_50.1
RodE2_54
RodE2_56.9
RodE2_59.9
RodE2_66
RodE2_69.8
RodE2_72.9
RodE2_74.9
RodB3_50.2
RodB3_54.1
RodB3_56.9
RodB3_60.1
RodB3_66.1
RodB3_69.9
RodB3_73
RodB3_75
RodF3_50.1
RodF3_54
RodF3_57
RodF3_60
RodF3_66.1
RodF3_70
RodF3_73
RodF3_75
RodE6_50.2
RodE6_54.1
RodE6_57
RodE6_60.2
RodE6_66.1
RodE6_70
RodE6_73.1
RodE6_75
1.275
1.374
1.448
1.529
1.679
1.778
1.857
1.905
1.273
1.372
1.448
1.524
1.679
1.778
1.854
1.905
1.275
1.374
1.445
1.527
1.679
1.775
1.854
1.905
(m)
1.273
1.372
1.445
1.521
1.676
1.773
1.852
1.902
Elevation
0.081
0.180
0.254
0.335
0.485
-0.022
0.056
0.105
0.079
0.178
0.254
0.330
0.485
-0.022
0.054
0.105
0.081
0.180
0.251
0.333
0.485
-0.025
0.054
0.105
(m)
0.079
0.178
0.251
0.328
0.483
-0.027
0.051
0.102
Zgrid
586.3
601.1
606.7
614.6
634.7
615.8
653.0
665.9
589.8
605.6
611.5
619.4
630.2
619.6
658.2
676.6
582.0
592.3
600.8
607.5
630.2
613.7
649.3
663.5
(K)
585.4
601.5
609.7
617.3
634.2
614.2
652.6
667.1
H.R.Tw
18510.1
19206.2
19723.1
20294.3
21346.6
22042.4
22594.0
22930.8
18522.5
19240.5
19792.2
20344.9
21468.9
22187.3
22740.7
23107.1
498.9
509.0
516.9
525.9
543.1
554.9
564.5
570.4
498.6
508.8
516.9
525.3
543.1
554.9
564.2
570.4
498.9
509.0
516.6
525.6
543.1
554.6
564.2
570.4
(K)
498.6
508.8
516.6
525.0
542.8
554.3
563.9
570.1
(W/m2)
18625.0
19334.6
19863.1
20410.3
21522.2
22215.3
22780.6
23143.4
18518.6
19222.1
19726.1
20303.9
21385.9
22071.7
22629.8
22990.4
Tcl
H.R. q''
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
513.4
524.4
531.9
540.7
558.4
565.0
579.2
586.3
513.8
524.9
532.7
541.0
557.6
565.7
579.8
588.1
512.7
522.9
530.7
539.2
557.6
564.4
578.4
585.9
(K)
513.1
524.2
532.1
540.4
558.0
564.3
578.6
586.3
Tbulk
17652
17213
16924
16597
15973
15750
15295
15077
17637
17192
16893
16585
15999
15729
15276
15023
17682
17270
16970
16649
15999
15770
15322
15089
17667
17219
16913
16606
15985
15775
15314
15079
Re (z)
Table SC-3214-B.1: Summary of Steam Cooling Data (cont.)
h(z)
253.88
250.26
263.61
274.36
279.48
434.10
306.38
288.16
243.60
238.53
251.00
259.51
295.74
411.62
290.24
261.21
267.25
276.86
281.03
297.40
294.71
448.12
318.84
296.42
(W/m2-K)
257.43
250.22
256.00
265.31
282.45
444.52
308.08
286.42
±σhtc
Fractional
10.29
10.04
10.63
11.09
11.23
19.47
12.44
11.52
9.79
9.48
10.02
10.37
11.99
18.07
11.63
10.25
10.96
11.35
11.49
12.23
11.96
20.31
13.05
11.91
4.05%
4.01%
4.03%
4.04%
4.02%
4.48%
4.06%
4.00%
4.02%
3.97%
3.99%
3.99%
4.06%
4.39%
4.01%
3.92%
4.10%
4.10%
4.09%
4.11%
4.06%
4.53%
4.09%
4.02%
(W/m2-K) Uncertainty
10.45
4.06%
10.02
4.00%
10.24
4.00%
10.63
4.01%
11.34
4.01%
20.03
4.51%
12.49
4.05%
11.41
3.98%
79.32
76.04
78.60
80.02
78.00
119.19
81.27
75.14
76.03
72.38
74.69
75.63
82.70
112.84
76.88
67.83
83.65
84.44
84.05
87.05
82.41
123.22
84.76
77.37
80.50
76.06
76.28
77.43
78.90
122.28
81.84
74.70
Nu(z)
RBHT Steam Cooling Test SC-3214-C
Matrix test # 9
Test date – 4/26/2005
Steady state time window: 16600 - 17100 sec
Inlet flow: 6.66 m3/min (235.2 ft3/min)
Inlet steam temperature: 422 K (299 °F)
Upper plenum pressure: 271.7 kPa (39.4 psia)
Bundle power: 140.2 kW
Outlet steam temperature: 785 K (954 °F)
Bundle inlet Reynolds number: 24776
Subchannel Centerline Temperatures
The equations below were correlated using the axial subchannel centerline temperature
distribution.
Subchannels D5 and E5 (use for inner 3x3 rod bundle thermocouple locations)
Tcl = -13.358x3 + 84.94x2 - 38.965x + 445.15
Subchannel C5 (use for 5x5 peripheral rod bundle thermocouple locations)
Tcl = -7.4673x3 + 54.417x2 - 1.5846x + 432.97
where x is the elevation (m) and Tcl is in (K)
A-231
A-232
A-233
A-234
A-235
A-236
Subchannels D5 and E5 Axial Temperature Profile
y = -13.358x3 + 84.94x2 - 38.965x + 445.15
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
2.5
3
3.5
4
3.5
4
Elevation (m)
Subchannel C5 Axial Temperature Profile
2
y = -7.4673x3 + 54.417x - 1.5846x + 432.97
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
Elevation (m)
A-237
2.5
3
A-238
Channel
Number
185
186
187
188
189
190
191
192
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
201
202
204
205
208
193
194
195
196
197
198
199
200
H.R.
Location
RodD3_88.3
RodD3_91.3
RodD3_93.1
RodD3_95.3
RodD3_100.1
RodD3_106.1
RodD3_110
RodD3_142.1
RodC4_88.4
RodC4_91.1
RodC4_93.4
RodC4_95.3
RodC4_100.1
RodC4_106.1
RodC4_110
RodC4_142.2
RodD4_88.3
RodD4_91.3
RodD4_93.2
RodD4_95.2
RodD4_100.1
RodD4_106.1
RodD4-110
RodD4_142.1
RodE4_88.4
RodE4_91.2
RodE4_95.3
RodE4_100.9
RodE4_142.3
RodE3_63.4
RodE3_113.6
RodE3_115.5
RodE3_118.5
RodE3_122.7
RodE3_126.5
RodE3_131.7
RodE3_135.6
1.610
2.885
2.934
3.010
3.117
3.213
3.345
3.444
2.245
2.316
2.421
2.563
3.614
2.243
2.319
2.367
2.418
2.543
2.695
2.794
3.609
2.245
2.314
2.372
2.421
2.543
2.695
2.794
3.612
(m)
2.243
2.319
2.365
2.421
2.543
2.695
2.794
3.609
Elevation
0.417
0.022
0.070
0.146
0.253
0.349
-0.046
0.053
-0.003
0.069
0.173
0.315
0.224
-0.005
0.071
0.119
0.170
0.295
0.447
0.546
0.218
-0.003
0.066
0.124
0.173
0.295
0.447
0.546
0.221
(m)
-0.005
0.071
0.117
0.173
0.295
0.447
0.546
0.218
Zgrid
649.9
825.2
842.1
849.4
841.1
838.0
812.0
826.6
717.4
756.2
784.7
801.1
830.2
725.0
762.3
779.0
789.0
806.5
822.7
806.7
834.7
720.5
763.1
778.6
792.4
804.2
826.3
807.2
840.1
(K)
714.6
762.0
778.3
789.8
807.8
829.6
815.2
825.1
H.R.Tw
30851.4
38021.4
36606.9
34375.2
31252.8
28427.6
24561.4
21664.9
37251.2
37968.4
39023.6
40465.4
15418.5
37820.3
38626.3
39137.2
39672.6
40989.3
42603.8
41148.9
15261.9
546.9
719.0
724.6
733.1
744.4
753.8
765.3
772.8
634.7
644.6
659.1
678.3
783.2
634.3
645.0
651.7
658.7
675.6
695.6
708.0
783.0
634.7
644.3
652.4
659.1
675.6
695.6
708.0
783.1
(K)
634.3
645.0
651.4
659.1
675.6
695.6
708.0
783.0
(W/m2)
37523.6
38312.4
38789.6
39372.2
40651.9
42246.8
41725.7
14557.9
37962.8
38693.9
39317.9
39833.8
41132.8
42761.1
41387.4
15793.3
Tcl
H.R. q''
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
564.1
736.7
744.2
752.5
760.5
767.8
773.1
781.8
648.5
663.2
680.0
698.8
791.1
649.4
664.6
672.9
680.4
697.4
716.8
724.5
791.6
649.0
664.1
673.4
681.3
697.1
717.4
724.6
792.6
(K)
647.7
664.5
672.5
680.9
697.6
717.9
725.9
790.0
Tbulk
20159
14807
14640
14459
14290
14139
14032
13860
17123
16684
16213
15717
13681
17093
16646
16409
16201
15752
15271
15088
13671
17107
16659
16394
16178
15762
15257
15086
13651
17146
16647
16420
16190
15746
15243
15055
13701
Re (z)
Table SC-3214-C.1: Summary of Steam Cooling Data
h(z)
359.48
429.76
373.78
354.75
387.93
404.91
630.17
482.86
540.51
408.41
372.83
395.56
394.04
500.26
395.03
368.98
365.46
375.94
402.31
500.32
354.29
531.11
390.68
373.83
358.55
383.88
392.58
500.47
332.20
(W/m2-K)
561.20
392.85
366.73
361.36
369.17
378.21
467.06
414.33
13.71
16.31
13.96
13.27
14.96
16.09
31.15
22.31
21.61
15.38
13.81
14.69
19.47
19.55
14.75
13.63
13.46
13.84
14.86
19.23
16.72
21.02
14.56
13.82
13.17
14.16
14.45
19.21
14.99
12.92%
7.66%
7.59%
7.98%
9.49%
9.77%
10.44%
7.77%
8.97%
8.38%
8.84%
9.59%
10.58%
9.19%
8.77%
8.80%
9.12%
9.75%
9.83%
9.37%
12.38%
8.48%
7.79%
7.99%
8.29%
9.46%
9.48%
9.01%
10.77%
Fractional
Uncertainty
8.90%
8.19%
8.37%
8.84%
9.53%
9.53%
9.17%
10.75%
±σhtc
(W/m2-K)
22.60
14.68
13.56
13.31
13.58
13.89
17.67
21.73
98.94
80.82
69.27
64.69
69.67
71.72
110.52
83.32
122.18
89.38
78.71
80.29
66.84
112.83
86.21
79.08
77.09
76.52
78.72
96.40
60.04
119.92
85.34
80.03
75.49
78.20
76.72
96.41
56.19
127.07
85.74
78.67
76.15
75.11
73.83
89.73
70.42
Nu(z)
A-239
Channel
Number
225
226
227
229
230
231
232
209
210
211
212
213
214
215
216
177
178
179
180
181
182
183
217
218
219
220
221
222
223
224
H.R.
Location
RodC5_63.7
RodC5_113.6
RodC5_115.7
RodC5_122.7
RodC5_126.7
RodC5_131.6
RodC5_135.7
RodE5_63.6
RodE5_113.6
RodE5_115.4
RodE5_118.7
RodE5_122.6
RodE5_126.6
RodE5_131.6
RodE5_135.6
RodC3_79.8
RodC3_85.6
RodC3_88.5
RodC3_92.4
RodC3_94.4
RodC3_97.2
RodC3_108.8
RodD5_50
RodD5_54.1
RodD5_56.9
RodD5_60
RodD5_66.1
RodD5_69.9
RodD5_72.9
RodD5_74.9
1.270
1.374
1.445
1.524
1.679
1.775
1.852
1.902
2.027
2.174
2.248
2.347
2.398
2.469
2.764
1.615
2.885
2.931
3.015
3.114
3.216
3.343
3.444
(m)
1.618
2.885
2.939
3.117
3.218
3.343
3.447
Elevation
0.076
0.180
0.251
0.330
0.485
-0.025
0.051
0.102
0.227
0.374
0.000
0.099
0.150
0.221
0.516
0.422
0.022
0.067
0.151
0.250
0.352
-0.048
0.053
(m)
0.424
0.022
0.075
0.253
0.354
-0.048
0.056
Zgrid
604.6
621.9
629.3
639.5
660.9
636.9
678.1
692.5
692.0
704.1
715.0
756.7
761.4
783.4
824.4
642.0
822.5
834.5
838.8
834.4
829.8
806.2
825.9
(K)
650.4
823.7
841.7
845.2
845.5
820.8
838.6
H.R.Tw
27392.7
28467.8
29207.6
30024.4
31630.2
32631.4
33414.4
33943.6
35089.1
36619.4
37381.1
38403.2
38930.9
39663.6
41820.7
31005.5
38259.9
36938.9
34519.6
31666.6
28733.0
25076.1
22147.1
(W/m )
30253.6
37083.0
35598.2
30656.0
27831.5
24368.5
21473.0
2
H.R. q''
505.3
517.3
525.9
535.8
555.9
569.0
579.4
586.5
603.9
624.7
635.0
648.9
655.9
665.7
704.2
547.6
719.0
724.3
733.7
744.1
754.0
765.1
772.8
(K)
547.9
719.0
725.2
744.4
754.2
765.1
773.0
Tcl
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
521.9
534.8
543.2
553.1
573.4
580.3
595.9
604.1
618.6
637.9
648.4
666.9
673.5
685.3
724.3
563.3
736.3
742.7
751.2
759.2
766.6
771.9
781.6
(K)
565.0
736.5
744.6
761.2
769.4
774.4
783.9
Tbulk
22112
21477
21082
20634
19769
19494
18896
18593
18086
17451
17126
16580
16392
16070
15093
20191
14817
14673
14487
14318
14163
14055
13862
20120
14812
14631
14276
14106
14007
13818
Re (z)
Table SC-3214-C.1: Summary of Steam Cooling Data (cont.)
330.92
326.68
339.13
347.22
361.53
576.21
406.24
384.09
477.85
553.21
560.68
427.29
443.00
404.14
417.78
394.00
443.48
402.28
393.96
420.95
454.94
730.98
500.21
(W/m -K)
354.11
425.14
366.56
364.76
366.12
524.83
392.56
2
h(z)
Fractional
12.66
12.39
12.89
13.19
13.74
24.24
15.61
14.57
18.81
22.34
22.60
16.17
16.83
15.09
15.56
15.22
16.89
15.16
14.96
16.46
18.58
38.71
23.23
12.19%
13.04%
13.73%
13.77%
12.23%
12.42%
10.43%
10.62%
11.38%
9.90%
8.22%
8.42%
9.10%
9.17%
8.96%
13.77%
6.01%
6.30%
6.78%
7.66%
8.43%
8.87%
6.44%
(W/m -K) Uncertainty
13.54
13.27%
16.20
6.91%
13.73
7.25%
13.97
9.06%
14.30
9.07%
23.91
9.83%
16.78
7.90%
2
±σhtc
101.20
96.69
98.29
98.19
97.25
152.46
103.56
96.03
115.54
128.02
126.76
92.78
94.83
84.37
80.52
108.64
83.47
74.77
72.02
75.79
80.76
128.47
86.34
97.24
79.99
67.88
65.42
64.65
91.82
67.47
Nu(z)
A-240
Channel
Number
153
154
155
156
157
158
159
160
105
106
107
108
109
110
111
112
57
58
59
60
61
62
63
64
137
138
139
140
141
142
143
144
H.R.
Location
RodB5_41
RodB5_52.9
RodB5_55
RodB5_57.8
RodB5_64
RodB5_73.9
RodB5_75.9
RodB5_76.9
RodF5_41
RodF5_53.1
RodF5_55
RodF5_57.8
RodF5_64
RodF5_73.8
RodF5_75.8
RodF5_76.8
RodC2_41
RodC2_53.1
RodC2_55
RodC2_57.8
RodC2_63.9
RodC2_73.8
RodC2_75.8
RodC2_76.8
RodC6_40.9
RodC6_52.8
RodC6_54.8
RodC6_57.8
RodC6_63.8
RodC6_73.7
RodC6_75.8
RodC6_76.8
1.039
1.341
1.392
1.468
1.621
1.872
1.925
1.951
1.041
1.349
1.397
1.468
1.623
1.875
1.925
1.951
1.041
1.349
1.397
1.468
1.626
1.875
1.925
1.951
(m)
1.041
1.344
1.397
1.468
1.626
1.877
1.928
1.953
Elevation
0.340
0.147
0.198
0.274
0.427
0.072
0.125
0.150
0.343
0.155
0.203
0.274
0.429
0.074
0.125
0.150
0.343
0.155
0.203
0.274
0.432
0.074
0.125
0.150
(m)
0.343
0.150
0.203
0.274
0.432
0.077
0.128
0.153
Zgrid
575.1
616.0
622.6
631.8
652.9
684.9
691.8
696.2
571.7
611.0
615.1
619.3
638.8
669.2
677.6
679.8
569.5
606.7
613.1
621.8
641.9
668.0
676.3
678.1
(K)
577.5
615.2
621.5
628.5
649.3
683.4
693.0
697.0
H.R.Tw
24740.4
28039.5
28596.3
29428.6
31093.0
33836.1
34420.2
34698.4
24862.4
28079.1
28584.7
29330.5
30951.8
33584.7
34114.7
34380.8
481.7
510.7
516.1
524.3
541.5
571.7
578.3
581.5
481.9
511.5
516.6
524.3
541.8
572.0
578.3
581.5
481.9
511.5
516.6
524.3
542.1
572.0
578.3
581.5
(K)
481.9
511.0
516.6
524.3
542.1
572.3
578.7
581.8
(W/m2)
24901.7
28067.7
28623.9
29370.9
31018.4
33651.1
34183.2
34452.0
24748.3
27965.2
28471.2
29215.7
30864.9
33469.4
34000.9
34266.8
Tcl
H.R. q''
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
497.3
528.3
533.8
542.2
560.1
590.6
597.3
600.6
496.9
528.1
533.0
540.1
558.0
588.2
594.9
597.9
496.5
527.4
532.7
540.5
558.7
588.0
594.7
597.6
(K)
497.8
528.3
534.1
541.7
560.0
590.8
597.7
601.0
Tbulk
23428
21793
21523
21126
20328
19095
18844
18720
23450
21801
21561
21223
20419
19185
18933
18821
23470
21836
21577
21204
20386
19193
18941
18831
23395
21788
21510
21152
20333
19085
18828
18706
Re (z)
Table SC-3214-C.1: Summary of Steam Cooling Data (cont.)
h(z)
317.74
319.62
322.16
328.44
334.97
358.65
363.89
363.18
332.26
338.77
348.17
370.67
382.94
414.55
412.37
419.74
338.87
352.38
354.09
359.76
371.24
418.52
416.71
425.79
(W/m2-K)
312.43
323.04
327.55
338.39
347.37
363.60
358.77
359.06
±σhtc
12.31
12.11
12.18
12.40
12.61
13.46
13.65
13.61
12.98
12.96
13.35
14.31
14.72
15.98
15.84
16.15
13.31
13.60
13.63
13.82
14.20
16.18
16.05
16.44
(W/m2-K)
12.05
12.26
12.42
12.84
13.16
13.69
13.45
13.45
Fractional
3.87%
3.79%
3.78%
3.78%
3.76%
3.75%
3.75%
3.75%
3.91%
3.83%
3.83%
3.86%
3.84%
3.86%
3.84%
3.85%
3.93%
3.86%
3.85%
3.84%
3.83%
3.87%
3.85%
3.86%
Uncertainty
3.86%
3.80%
3.79%
3.80%
3.79%
3.77%
3.75%
3.75%
103.46
96.17
95.59
95.41
93.09
92.59
92.46
91.56
108.29
101.98
103.51
108.25
106.98
107.62
105.37
106.49
110.55
106.27
105.36
104.95
103.52
108.70
106.54
108.10
101.58
97.18
97.12
98.44
96.57
93.81
91.07
90.43
Nu(z)
A-241
Channel
Number
161
162
163
164
165
166
167
168
98
99
100
101
102
103
104
65
66
67
68
69
70
71
72
129
130
131
132
133
134
135
136
H.R.
Location
RodB4_88.4
RodB4_91.3
RodB4_93.3
RodB4_95.1
RodB4_100
RodB4_106
RodB4_109.9
RodB4_142.3
RodF4_85.6
RodF4_88.4
RodF4_92.4
RodF4_94.3
RodF4_97.2
RodF4_108.8
RodF4_111
RodD2_103.2
RodD2_106
RodD2_112.6
RodD2_114.9
RodD2_117.4
RodD2_120.8
RodD2_124.8
RodD2_128.6
RodD6_103.1
RodD6_106
RodD6_112.9
RodD6_114.9
RodD6_116.8
RodD6_120.9
RodD6_124.8
RodD6_128.7
2.619
2.692
2.868
2.918
2.967
3.071
3.170
3.269
2.621
2.692
2.860
2.918
2.982
3.068
3.170
3.266
2.174
2.245
2.347
2.395
2.469
2.764
2.819
(m)
2.245
2.319
2.370
2.416
2.540
2.692
2.791
3.614
Elevation
0.371
0.445
0.004
0.055
0.103
0.207
0.306
0.405
0.373
0.445
-0.004
0.055
0.118
0.204
0.306
0.403
0.374
-0.003
0.099
0.147
0.221
0.516
-0.044
(m)
-0.003
0.071
0.122
0.168
0.292
0.445
0.544
0.224
Zgrid
786.0
796.8
797.0
819.3
824.9
819.4
818.7
820.1
803.1
813.8
804.2
824.8
831.6
825.6
821.4
819.8
706.9
713.5
756.5
767.9
780.6
819.6
783.5
(K)
712.3
754.7
765.0
778.5
789.1
818.3
798.4
832.6
H.R.Tw
41642.2
42407.0
38685.0
37103.8
35599.3
32350.1
29260.5
26170.1
41573.0
42316.6
38823.7
37017.0
35056.1
32390.5
29258.6
26281.8
667.9
677.4
699.8
706.2
712.2
725.0
736.9
748.4
668.2
677.4
698.9
706.2
714.1
724.7
736.9
748.2
610.0
619.2
632.5
638.8
648.4
686.6
693.7
(K)
619.2
628.8
635.4
641.4
657.7
677.4
690.2
785.6
(W/m2)
37229.4
37974.5
38492.0
38953.9
40212.4
41754.8
40424.6
15685.0
36743.1
37475.5
38525.9
39027.2
39789.2
42017.8
40308.7
Tcl
H.R. q''
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
687.6
697.3
716.0
725.1
731.0
740.7
750.5
760.4
690.7
700.2
716.4
726.0
733.7
741.5
751.0
760.1
626.2
634.9
653.1
660.3
670.4
708.7
708.7
(K)
634.7
649.8
657.0
664.3
679.6
700.9
708.2
793.4
Tbulk
16009
15755
15289
15074
14936
14716
14502
14292
15927
15682
15279
15053
14875
14699
14492
14299
17832
17546
16982
16770
16479
15467
15468
17552
17082
16865
16654
16225
15663
15481
13636
Re (z)
Table SC-3214-C.1: Summary of Steam Cooling Data (cont.)
h(z)
423.10
426.33
477.82
393.82
379.17
411.47
429.27
438.21
369.91
372.44
442.22
374.52
358.14
385.16
415.45
440.30
455.09
476.87
372.77
362.60
361.18
379.06
538.68
(W/m2-K)
480.12
362.09
356.49
340.86
367.13
355.67
448.31
400.37
±σhtc
Fractional
15.78
15.88
18.42
14.79
14.25
15.96
17.20
18.23
13.57
13.65
16.80
13.97
13.38
14.75
16.52
18.32
17.56
18.50
13.82
13.38
13.29
13.93
21.11
3.73%
3.72%
3.86%
3.76%
3.76%
3.88%
4.01%
4.16%
3.67%
3.66%
3.80%
3.73%
3.74%
3.83%
3.98%
4.16%
3.86%
3.88%
3.71%
3.69%
3.68%
3.68%
3.92%
(W/m2-K) Uncertainty
18.68
3.89%
13.41
3.70%
13.15
3.69%
12.49
3.67%
13.52
3.68%
13.00
3.66%
16.97
3.79%
19.75
4.93%
87.91
86.80
93.63
75.79
72.11
76.77
78.58
78.71
76.36
75.39
86.59
71.94
67.75
71.75
75.98
79.13
108.14
111.09
83.40
79.86
77.83
75.39
107.15
111.90
81.61
79.08
74.43
77.58
71.88
89.26
67.63
Nu(z)
A-242
Channel
Number
73
74
75
76
77
78
79
80
169
170
171
172
173
174
175
176
89
90
91
92
93
94
95
96
121
122
123
124
125
126
127
128
H.R.
Location
RodE2_50.1
RodE2_54
RodE2_56.9
RodE2_59.9
RodE2_66
RodE2_69.8
RodE2_72.9
RodE2_74.9
RodB3_50.2
RodB3_54.1
RodB3_56.9
RodB3_60.1
RodB3_66.1
RodB3_69.9
RodB3_73
RodB3_75
RodF3_50.1
RodF3_54
RodF3_57
RodF3_60
RodF3_66.1
RodF3_70
RodF3_73
RodF3_75
RodE6_50.2
RodE6_54.1
RodE6_57
RodE6_60.2
RodE6_66.1
RodE6_70
RodE6_73.1
RodE6_75
1.275
1.374
1.448
1.529
1.679
1.778
1.857
1.905
1.273
1.372
1.448
1.524
1.679
1.778
1.854
1.905
1.275
1.374
1.445
1.527
1.679
1.775
1.854
1.905
(m)
1.273
1.372
1.445
1.521
1.676
1.773
1.852
1.902
Elevation
0.081
0.180
0.254
0.335
0.485
-0.022
0.056
0.105
0.079
0.178
0.254
0.330
0.485
-0.022
0.054
0.105
0.081
0.180
0.251
0.333
0.485
-0.025
0.054
0.105
(m)
0.079
0.178
0.251
0.328
0.483
-0.027
0.051
0.102
Zgrid
598.5
612.5
617.8
627.6
650.3
629.7
668.6
680.5
600.0
614.5
621.1
630.0
642.8
630.8
671.4
688.3
592.5
603.2
611.5
619.8
643.5
626.1
663.9
677.5
(K)
595.7
611.4
619.3
628.6
647.4
626.2
666.3
680.1
H.R.Tw
27310.5
28336.5
29099.3
29941.8
31493.8
32522.5
33334.9
33839.2
27325.7
28384.7
29200.6
30018.4
31672.0
32735.6
33549.9
34091.4
503.9
514.2
522.1
531.1
548.4
560.2
569.8
575.8
503.7
513.9
522.1
530.5
548.4
560.2
569.5
575.8
503.9
514.2
521.8
530.8
548.4
559.9
569.5
575.8
(K)
503.7
513.9
521.8
530.2
548.1
559.6
569.2
575.5
(W/m2)
27481.3
28527.8
29308.1
30113.6
31753.9
32777.9
33604.1
34146.2
27321.8
28357.7
29103.2
29954.5
31551.7
32563.3
33387.2
33918.0
Tcl
H.R. q''
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
519.7
530.6
538.0
547.2
565.4
571.8
586.3
593.2
519.7
530.7
538.6
547.1
564.1
572.0
586.5
594.6
518.7
529.0
536.8
545.6
564.2
570.9
585.2
592.8
(K)
519.0
530.1
538.0
546.6
564.6
570.7
585.4
592.9
Tbulk
22222
21680
21321
20899
20104
19836
19259
18994
22220
21675
21296
20902
20157
19829
19251
18945
22273
21755
21382
20969
20152
19872
19300
19013
22256
21700
21321
20924
20135
19881
19294
19006
Re (z)
Table SC-3214-C.1: Summary of Steam Cooling Data (cont.)
h(z)
346.67
345.95
364.67
372.29
370.56
561.31
405.03
388.04
340.39
338.60
353.99
361.95
402.30
556.45
395.13
363.75
370.36
382.02
389.24
404.07
398.16
590.58
424.65
400.30
(W/m2-K)
358.27
351.15
360.84
367.38
383.61
590.24
415.24
391.73
±σhtc
13.40
13.27
14.06
14.33
14.16
23.44
15.57
14.76
13.10
12.93
13.56
13.85
15.54
23.12
15.10
13.67
14.51
14.94
15.20
15.81
15.37
25.06
16.47
15.30
(W/m2-K)
13.91
13.48
13.85
14.08
14.68
24.98
16.01
14.89
Fractional
3.86%
3.84%
3.85%
3.85%
3.82%
4.18%
3.84%
3.80%
3.85%
3.82%
3.83%
3.83%
3.86%
4.16%
3.82%
3.76%
3.92%
3.91%
3.91%
3.91%
3.86%
4.24%
3.88%
3.82%
Uncertainty
3.88%
3.84%
3.84%
3.83%
3.83%
4.23%
3.85%
3.80%
106.60
103.49
107.06
106.83
101.66
151.60
105.63
99.54
104.65
101.26
103.78
103.88
110.71
150.22
103.00
93.02
114.17
114.72
114.64
116.39
109.54
159.84
111.03
102.81
110.35
105.15
105.93
105.56
105.43
159.84
108.53
100.56
Nu(z)
RBHT Steam Cooling Test SC-3214-D
Matrix test # 12
Test date – 4/26/2005
Steady state time window: 19300 - 19700 sec
Inlet flow: 5.95 m3/min (210.0 ft3/min)
Inlet steam temperature: 415 K (287 °F)
Upper plenum pressure: 133.8 kPa (19.4 psia)
Bundle power: 70.0 kW
Outlet steam temperature: 790 K (963 °F)
Bundle inlet Reynolds number: 11080
Subchannel Centerline Temperatures
The equations below were correlated using the axial subchannel centerline temperature
distribution.
Subchannels D5 and E5 (use for inner 3x3 rod bundle thermocouple locations)
Tcl = -13.003x3 + 82.397x2 - 30.146x + 438.44
Subchannel C5 (use for 5x5 peripheral rod bundle thermocouple locations)
Tcl = -10.194x3 + 68.413x2 - 16.692x + 433.78
where x is the elevation (m) and Tcl is in (K)
A-243
A-244
A-245
A-246
A-247
A-248
Subchannels D5 and E5 Axial Temperature Profile
3
2
y = -13.003x + 82.397x - 30.146x + 438.44
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
2.5
3
3.5
4
3.5
4
Elevation (m)
Subchannel C5 Axial Temperature Profile
y = -10.194x3 + 68.413x2 - 16.692x + 433.78
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
Elevation (m)
A-249
2.5
3
A-250
Channel
Number
185
186
187
188
189
190
191
192
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
201
202
204
205
208
193
194
195
196
197
198
199
200
H.R.
Location
RodD3_88.3
RodD3_91.3
RodD3_93.1
RodD3_95.3
RodD3_100.1
RodD3_106.1
RodD3_110
RodD3_142.1
RodC4_88.4
RodC4_91.1
RodC4_93.4
RodC4_95.3
RodC4_100.1
RodC4_106.1
RodC4_110
RodC4_142.2
RodD4_88.3
RodD4_91.3
RodD4_93.2
RodD4_95.2
RodD4_100.1
RodD4_106.1
RodD4_110
RodD4_142.1
RodE4_88.4
RodE4_91.2
RodE4_95.3
RodE4_100.9
RodE4_142.3
RodE3_63.4
RodE3_113.6
RodE3_115.5
RodE3_118.5
RodE3_122.7
RodE3_126.5
RodE3_131.7
RodE3_135.6
1.610
2.885
2.934
3.010
3.117
3.213
3.345
3.444
2.245
2.316
2.421
2.563
3.614
2.243
2.319
2.367
2.418
2.543
2.695
2.794
3.609
2.245
2.314
2.372
2.421
2.543
2.695
2.794
3.612
(m)
2.243
2.319
2.365
2.421
2.543
2.695
2.794
3.609
Elevation
0.417
0.022
0.070
0.146
0.253
0.349
-0.046
0.053
-0.003
0.069
0.173
0.315
0.224
-0.005
0.071
0.119
0.170
0.295
0.447
0.546
0.218
-0.003
0.066
0.124
0.173
0.295
0.447
0.546
0.221
(m)
-0.005
0.071
0.117
0.173
0.295
0.447
0.546
0.218
Zgrid
644.1
808.9
824.9
837.3
839.7
835.6
808.5
822.6
704.6
742.1
771.9
793.1
830.1
711.1
747.9
763.2
775.3
792.4
813.3
792.7
835.4
708.2
745.6
760.0
774.8
790.6
812.4
791.9
840.8
(K)
701.3
743.8
759.9
774.2
793.5
817.6
799.1
825.7
H.R.Tw
15407.6
18983.2
18280.3
17162.9
15605.5
14194.0
12266.2
10821.4
18602.6
18959.9
19484.0
20204.4
7701.4
18883.4
19283.0
19536.4
19807.3
20466.0
21270.0
20539.5
7621.0
549.3
725.1
730.8
739.6
751.2
760.9
772.9
780.8
639.0
649.1
663.8
683.5
791.9
638.6
649.5
656.3
663.5
680.7
701.1
713.8
791.6
639.0
648.8
657.0
663.8
680.7
701.1
713.8
791.8
(K)
638.6
649.5
656.0
663.8
680.7
701.1
713.8
791.6
(W/m2)
18744.9
19140.3
19380.3
19671.5
20307.7
21102.6
20839.2
7271.9
18945.1
19313.3
19625.3
19883.7
20531.2
21345.2
20654.3
7881.0
Tcl
H.R. q''
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
565.1
739.1
746.5
755.9
765.9
773.3
778.8
787.7
649.9
664.6
681.8
701.8
798.3
650.7
665.9
674.1
682.1
699.3
719.8
727.0
798.9
650.5
664.9
674.2
682.3
699.0
719.7
726.8
799.9
(K)
649.0
665.2
673.3
682.2
699.5
720.5
728.0
797.3
Tbulk
8863
6507
6434
6345
6253
6186
6138
6062
7530
7339
7127
6898
5974
7520
7323
7220
7124
6925
6702
6628
5969
7522
7335
7219
7121
6928
6704
6629
5960
7541
7331
7231
7122
6923
6695
6617
5982
Re (z)
Table SC-3214-D.1: Summary of Steam Cooling Data
h (z)
195.00
271.83
233.29
210.89
211.46
228.16
413.26
310.80
340.28
244.64
216.33
221.29
242.02
312.61
235.15
219.35
212.63
219.93
227.49
312.34
209.07
328.32
239.30
228.81
214.95
224.20
230.26
317.29
192.96
(W/m2-K)
358.84
243.61
223.71
213.89
216.14
217.45
293.37
256.04
±σhtc
7.14
15.46
13.06
11.71
11.18
12.00
29.11
29.58
18.14
12.95
10.72
10.46
18.10
15.38
11.61
10.54
9.97
9.52
10.16
14.50
11.54
18.60
13.10
11.94
10.80
10.08
10.24
15.12
11.76
(W/m2-K)
19.30
12.55
11.14
10.24
9.60
9.81
13.37
22.06
Fractional
6.73%
7.26%
7.10%
7.04%
7.09%
7.29%
9.76%
10.30%
7.53%
7.06%
6.87%
6.82%
9.84%
7.23%
6.90%
6.81%
6.76%
6.71%
6.72%
7.07%
8.55%
7.50%
7.01%
6.90%
6.81%
6.73%
6.72%
7.10%
8.45%
Uncertainty
7.60%
7.00%
6.88%
6.80%
6.74%
6.73%
6.94%
10.92%
53.84
50.97
43.11
38.27
37.64
40.05
71.80
53.11
76.89
53.51
45.60
44.73
40.57
70.51
51.29
47.00
44.79
44.68
44.32
59.98
35.01
74.08
52.31
49.02
45.26
45.58
44.87
60.95
32.25
81.23
53.22
48.02
45.04
43.89
42.30
56.22
43.00
Nu(z)
A-251
Number
225
226
227
229
230
231
232
209
210
211
212
213
214
215
216
177
178
179
180
181
182
183
217
218
219
220
221
222
223
224
RodE5_63.6
RodE5_113.6
RodE5_115.4
RodE5_118.7
RodE5_122.6
RodE5_126.6
RodE5_131.6
RodE5_135.6
RodC3_79.8
RodC3_85.6
RodC3_88.5
RodC3_92.4
RodC3_94.4
RodC3_97.2
RodC3_108.8
RodD5_50
RodD5_54.1
RodD5_56.9
RodD5_60
RodD5_66.1
RodD5_69.9
RodD5_72.9
RodD5_74.9
1.270
1.374
1.445
1.524
1.679
1.775
1.852
1.902
2.027
2.174
2.248
2.347
2.398
2.469
2.764
1.615
2.885
2.931
3.015
3.114
3.216
3.343
3.444
(m)
1.618
2.885
2.939
3.117
3.218
3.343
3.447
Channel Elevation
Location
RodC5_63.7
RodC5_113.6
RodC5_115.7
RodC5_122.7
RodC5_126.7
RodC5_131.6
RodC5_135.7
H.R.
0.076
0.180
0.251
0.330
0.485
-0.025
0.051
0.102
0.227
0.374
0.000
0.099
0.150
0.221
0.516
0.422
0.022
0.067
0.151
0.250
0.352
-0.048
0.053
(m)
0.424
0.022
0.075
0.253
0.354
-0.048
0.056
Zgrid
593.8
616.8
625.5
631.9
649.0
628.4
666.1
683.4
687.7
693.4
701.6
744.6
750.9
775.6
811.2
634.6
807.0
818.8
825.9
830.0
827.3
802.3
820.5
(K)
642.6
806.3
826.8
840.2
838.1
814.9
831.4
H.R.Tw
13677.6
14217.2
14586.1
14992.8
15791.2
16289.5
16682.8
16942.5
17514.7
18279.4
18656.7
19173.1
19433.1
19797.6
20875.3
15483.5
19096.8
18442.4
17234.9
15807.7
14348.7
12515.1
11060.9
(W/m )
15102.1
18509.7
17768.6
15302.0
13892.6
12167.4
10717.8
2
H.R. q''
506.4
518.9
527.7
537.8
558.5
571.9
582.6
589.8
607.6
628.8
639.3
653.4
660.6
670.6
710.0
549.9
725.1
730.5
740.2
750.9
761.1
772.7
780.8
(K)
550.3
725.1
731.4
751.2
761.4
772.7
781.0
Tcl
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
521.0
535.2
544.0
553.5
573.6
581.3
596.5
605.4
620.9
639.5
649.7
668.6
675.7
688.1
726.8
564.1
738.7
745.2
754.5
764.1
772.2
777.6
787.4
(K)
565.7
738.6
747.3
766.0
774.2
779.7
789.4
Tbulk
9756
9450
9269
9082
8708
8573
8318
8176
7938
7671
7533
7288
7201
7053
6630
8882
6510
6446
6358
6269
6197
6149
6065
8852
6511
6426
6252
6179
6131
6048
Re (z)
Table SC-3214-D.1: Summary of Steam Cooling Data (cont.)
187.74
174.15
178.93
191.30
209.40
346.00
239.77
217.11
262.21
339.18
359.56
252.41
258.41
226.17
247.49
219.43
279.93
250.78
241.22
239.86
260.27
506.15
334.07
(W/m -K)
196.30
273.41
223.46
206.18
217.20
346.08
254.84
2
h (z)
7.05
6.36
6.27
6.39
7.57
14.29
10.38
9.40
11.60
16.76
21.50
13.63
13.01
11.33
11.95
7.45
21.95
18.08
16.49
16.30
17.36
53.95
42.57
(W/m -K)
6.91
17.65
13.71
11.00
11.49
21.47
18.62
2
±σhtc
6.78%
6.70%
6.68%
6.67%
6.74%
7.32%
6.93%
6.85%
7.02%
7.42%
7.82%
7.10%
7.03%
6.89%
6.88%
6.74%
7.80%
7.52%
7.47%
7.58%
7.88%
12.36%
11.80%
Uncertainty
6.77%
7.54%
7.24%
7.13%
7.29%
8.82%
8.77%
Fractional
58.07
51.90
52.11
54.38
56.60
91.77
61.29
54.34
63.28
78.44
81.28
54.73
55.19
47.05
47.54
60.74
52.52
46.45
43.89
42.85
45.79
88.14
57.13
54.12
51.31
41.22
36.70
38.07
60.03
43.42
Nu(z)
A-252
105
106
107
108
109
110
111
112
57
58
59
60
61
62
63
64
137
138
139
140
141
142
143
144
RodF5_41
RodF5_53.1
RodF5_55
RodF5_57.8
RodF5_64
RodF5_73.8
RodF5_75.8
RodF5_76.8
RodC2_41
RodC2_53.1
RodC2_55
RodC2_57.8
RodC2_63.9
RodC2_73.8
RodC2_75.8
RodC2_76.8
RodC6_40.9
RodC6_52.8
RodC6_54.8
RodC6_57.8
RodC6_63.8
RodC6_73.7
RodC6_75.8
RodC6_76.8
1.039
1.341
1.392
1.468
1.621
1.872
1.925
1.951
1.041
1.349
1.397
1.468
1.623
1.875
1.925
1.951
1.041
1.349
1.397
1.468
1.626
1.875
1.925
1.951
(m)
1.041
1.344
1.397
1.468
1.626
1.877
1.928
1.953
Channel Elevation
Number
153
154
155
156
157
158
159
160
H.R.
Location
RodB5_41
RodB5_52.9
RodB5_55
RodB5_57.8
RodB5_64
RodB5_73.9
RodB5_75.9
RodB5_76.9
0.340
0.147
0.198
0.274
0.427
0.072
0.125
0.150
0.343
0.155
0.203
0.274
0.429
0.074
0.125
0.150
0.343
0.155
0.203
0.274
0.432
0.074
0.125
0.150
(m)
0.343
0.150
0.203
0.274
0.432
0.077
0.128
0.153
Zgrid
564.5
607.2
615.0
624.5
642.9
674.2
684.3
690.5
562.5
605.6
611.3
618.0
633.0
660.7
671.6
675.8
561.9
601.4
608.5
616.6
633.5
659.4
671.7
675.7
(K)
570.1
610.7
618.7
626.1
642.2
674.3
687.4
692.4
H.R.Tw
12348.8
13999.4
14275.3
14686.6
15521.9
16891.5
17181.0
17318.0
12408.5
14016.5
14269.9
14640.4
15450.4
16763.7
17034.4
17164.9
478.8
509.9
515.6
524.5
543.0
575.4
582.5
585.9
479.1
510.7
516.2
524.5
543.3
575.7
582.5
585.9
479.1
510.7
516.2
524.5
543.6
575.7
582.5
585.9
(K)
479.1
510.1
516.2
524.5
543.6
576.1
582.8
586.2
(W/m2)
12424.9
14004.9
14281.8
14654.9
15477.7
16794.3
17059.7
17188.3
12362.0
13966.8
14220.2
14592.9
15415.4
16712.3
16972.7
17109.2
Tcl
H.R. q''
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
493.1
526.1
532.2
541.1
559.7
591.9
599.5
603.3
493.0
526.5
532.0
540.1
558.3
589.9
597.3
600.9
492.9
525.8
531.6
539.8
558.6
589.7
597.4
600.9
(K)
494.2
526.9
533.3
541.4
560.1
592.5
600.2
603.9
Tbulk
10414
9644
9514
9327
8964
8394
8270
8208
10417
9635
9516
9350
8990
8427
8304
8247
10420
9650
9526
9354
8984
8431
8304
8248
10386
9626
9490
9322
8957
8384
8257
8199
Re (z)
Table SC-3214-D.1: Summary of Steam Cooling Data (cont.)
h (z)
173.03
172.55
172.37
176.17
186.52
205.22
202.51
198.72
178.55
177.25
179.95
187.91
206.68
236.67
229.34
229.10
179.04
184.71
184.82
190.11
205.79
239.77
228.34
228.56
(W/m2-K)
163.87
167.06
167.14
172.99
188.42
205.10
195.86
194.21
±σhtc
4.79
6.54
6.34
6.20
6.59
8.50
8.18
7.94
5.40
6.76
6.64
6.52
7.20
10.75
10.08
10.00
5.15
7.30
7.03
6.90
7.54
10.89
9.90
9.64
(W/m2-K)
4.95
6.83
6.76
6.57
7.03
9.01
8.39
8.25
Fractional
5.87%
6.73%
6.70%
6.67%
6.66%
6.76%
6.73%
6.70%
5.94%
6.75%
6.73%
6.71%
6.73%
6.97%
6.89%
6.89%
5.93%
6.82%
6.78%
6.75%
6.77%
6.99%
6.91%
6.88%
Uncertainty
5.87%
6.75%
6.73%
6.70%
6.71%
6.81%
6.76%
6.75%
57.67
52.66
51.77
51.69
52.20
53.05
51.40
49.98
59.53
54.03
54.06
55.29
58.05
61.47
58.51
57.96
59.71
56.40
55.59
55.97
57.75
62.31
58.25
57.82
54.45
50.87
50.06
50.73
52.68
52.94
49.62
48.77
Nu(z)
A-253
98
99
100
101
102
103
104
65
66
67
68
69
70
71
72
129
130
131
132
133
134
135
136
RodF4_85.6
RodF4_88.4
RodF4_92.4
RodF4_94.3
RodF4_97.2
RodF4_108.8
RodF4_111
RodD2_103.2
RodD2_106
RodD2_112.6
RodD2_114.9
RodD2_117.4
RodD2_120.8
RodD2_124.8
RodD2_128.6
RodD6_103.1
RodD6_106
RodD6_112.9
RodD6_114.9
RodD6_116.8
RodD6_120.9
RodD6_124.8
RodD6_128.7
2.619
2.692
2.868
2.918
2.967
3.071
3.170
3.269
2.621
2.692
2.860
2.918
2.982
3.068
3.170
3.266
2.174
2.245
2.347
2.395
2.469
2.764
2.819
(m)
2.245
2.319
2.370
2.416
2.540
2.692
2.791
3.614
Channel Elevation
Number
161
162
163
164
165
166
167
168
H.R.
Location
RodB4_88.4
RodB4_91.3
RodB4_93.3
RodB4_95.1
RodB4_100
RodB4_106
RodB4_109.9
RodB4_142.3
0.371
0.445
0.004
0.055
0.103
0.207
0.306
0.405
0.373
0.445
-0.004
0.055
0.118
0.204
0.306
0.403
0.374
-0.003
0.099
0.147
0.221
0.516
-0.044
(m)
-0.003
0.071
0.122
0.168
0.292
0.445
0.544
0.224
Zgrid
783.3
791.2
784.4
806.3
817.1
821.2
819.2
819.4
786.8
796.4
785.2
806.7
816.0
822.7
819.6
816.7
694.6
699.7
744.0
757.9
774.0
803.1
774.1
(K)
701.3
740.6
752.0
766.3
783.0
806.2
782.0
834.9
H.R.Tw
20781.6
21165.8
19315.2
18518.2
17767.9
16152.9
14604.7
13063.0
20756.9
21121.2
19379.5
18477.1
17499.6
16169.6
14606.9
13111.0
676.2
685.8
708.1
714.4
720.2
732.5
743.6
754.2
676.5
685.8
707.2
714.4
722.0
732.2
743.6
753.9
616.1
625.8
639.7
646.2
656.2
695.0
702.1
(K)
625.8
635.9
642.8
649.0
665.7
685.8
698.5
785.8
(W/m2)
18581.1
18951.5
19205.8
19439.9
20066.2
20835.5
20165.8
7824.0
18343.1
18713.6
19236.9
19481.6
19864.4
20982.3
20124.3
Tcl
H.R. q''
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
694.0
703.4
720.8
729.7
736.4
747.3
756.2
765.0
694.9
704.2
720.2
729.8
737.7
747.3
756.3
764.4
629.2
638.1
657.1
664.8
675.8
713.0
714.1
(K)
638.4
653.3
661.0
668.5
685.3
705.9
712.4
794.0
Tbulk
6985
6879
6692
6600
6533
6427
6342
6261
6975
6870
6698
6600
6520
6427
6341
6267
7817
7690
7436
7336
7200
6775
6763
7687
7485
7385
7289
7087
6852
6781
6009
Re (z)
Table SC-3214-D.1: Summary of Steam Cooling Data (cont.)
h (z)
232.83
240.95
303.75
241.62
220.00
218.41
231.82
240.38
225.78
229.13
297.83
240.21
223.41
214.25
230.52
250.76
280.54
303.87
221.17
209.35
202.38
232.90
335.10
(W/m2-K)
295.20
217.14
211.01
198.74
205.31
207.71
290.00
191.49
±σhtc
8.90
9.33
15.01
12.12
10.59
9.99
9.75
10.34
9.24
9.30
14.01
10.94
10.37
9.70
9.81
10.98
12.05
14.38
10.03
9.21
8.59
9.79
12.61
(W/m2-K)
12.61
9.45
8.80
8.38
8.39
8.46
11.09
11.79
Fractional
6.67%
6.69%
7.19%
7.00%
6.92%
6.96%
7.04%
7.24%
6.70%
6.69%
7.11%
6.92%
6.92%
6.94%
7.05%
7.31%
7.00%
7.18%
6.81%
6.75%
6.70%
6.73%
6.95%
Uncertainty
7.05%
6.80%
6.74%
6.71%
6.70%
6.69%
6.88%
8.47%
47.83
48.54
59.06
46.15
41.47
40.30
42.04
42.86
46.30
46.08
57.98
45.87
42.00
39.53
41.80
44.77
66.42
70.49
49.19
45.77
43.21
46.00
66.05
68.44
48.69
46.53
43.10
42.96
41.63
57.35
32.35
Nu(z)
A-254
169
170
171
172
173
174
175
176
89
90
91
92
93
94
95
96
121
122
123
124
125
126
127
128
RodB3_50.2
RodB3_54.1
RodB3_56.9
RodB3_60.1
RodB3_66.1
RodB3_69.9
RodB3_73
RodB3_75
RodF3_50.1
RodF3_54
RodF3_57
RodF3_60
RodF3_66.1
RodF3_70
RodF3_73
RodF3_75
RodE6_50.2
RodE6_54.1
RodE6_57
RodE6_60.2
RodE6_66.1
RodE6_70
RodE6_73.1
RodE6_75
1.275
1.374
1.448
1.529
1.679
1.778
1.857
1.905
1.273
1.372
1.448
1.524
1.679
1.778
1.854
1.905
1.275
1.374
1.445
1.527
1.679
1.775
1.854
1.905
(m)
1.273
1.372
1.445
1.521
1.676
1.773
1.852
1.902
Channel Elevation
Number
73
74
75
76
77
78
79
80
H.R.
Location
RodE2_50.1
RodE2_54
RodE2_56.9
RodE2_59.9
RodE2_66
RodE2_69.8
RodE2_72.9
RodE2_74.9
0.081
0.180
0.254
0.335
0.485
-0.022
0.056
0.105
0.079
0.178
0.254
0.330
0.485
-0.022
0.054
0.105
0.081
0.180
0.251
0.333
0.485
-0.025
0.054
0.105
(m)
0.079
0.178
0.251
0.328
0.483
-0.027
0.051
0.102
Zgrid
589.1
607.5
616.0
623.2
641.0
621.5
658.8
673.5
591.4
608.5
617.2
624.6
634.2
622.4
659.9
678.4
585.2
597.3
606.6
612.5
636.7
618.6
654.2
669.8
(K)
587.7
606.9
618.0
624.8
639.4
618.3
654.4
669.6
H.R.Tw
13633.7
14146.4
14528.7
14948.3
15724.9
16236.9
16643.7
16891.0
13647.8
14177.4
14583.8
14988.0
15821.5
16347.6
16751.5
17024.6
502.6
513.6
522.1
531.8
550.4
563.1
573.4
579.8
502.3
513.3
522.1
531.2
550.4
563.1
573.1
579.8
502.6
513.6
521.8
531.5
550.4
562.7
573.1
579.8
(K)
502.3
513.3
521.8
530.8
550.0
562.4
572.7
579.4
(W/m2)
13725.3
14248.1
14636.8
15041.1
15856.7
16365.7
16783.6
17048.0
13633.1
14150.6
14523.4
14945.7
15742.8
16247.4
16660.7
16924.8
Tcl
H.R. q''
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
517.0
529.2
537.7
547.0
565.5
572.8
587.6
595.4
517.2
529.2
537.9
546.7
564.3
573.0
587.5
596.2
516.4
527.5
535.9
545.0
564.7
572.1
586.6
594.8
(K)
516.5
528.9
537.8
546.5
564.9
571.7
586.3
594.5
Tbulk
9845
9576
9397
9209
8856
8722
8465
8336
9842
9578
9393
9215
8877
8720
8467
8323
9860
9613
9435
9250
8869
8736
8483
8346
9856
9584
9396
9220
8866
8742
8487
8351
Re (z)
Table SC-3214-D.1: Summary of Steam Cooling Data (cont.)
h (z)
189.15
180.78
185.62
196.22
208.20
333.40
233.90
216.30
183.91
178.68
184.05
192.44
226.44
330.49
231.43
207.23
197.97
202.80
205.36
221.31
218.82
349.34
246.44
225.58
(W/m2-K)
192.96
182.64
182.52
192.20
212.95
351.68
246.54
226.89
±σhtc
7.88
7.13
7.07
7.06
8.12
14.78
11.02
9.97
7.65
6.77
6.61
6.57
8.28
14.88
10.90
9.66
8.66
8.29
8.33
8.67
8.84
15.77
11.03
9.99
(W/m2-K)
8.07
7.04
6.84
6.70
7.84
15.21
11.27
10.44
Fractional
6.88%
6.78%
6.76%
6.74%
6.80%
7.39%
7.00%
6.90%
6.86%
6.75%
6.71%
6.69%
6.80%
7.38%
6.97%
6.85%
6.96%
6.89%
6.87%
6.88%
6.85%
7.48%
6.99%
6.89%
Uncertainty
6.88%
6.75%
6.72%
6.69%
6.75%
7.40%
6.99%
6.91%
59.12
54.71
54.95
56.72
57.43
90.29
61.09
55.44
57.46
54.09
54.46
55.66
62.64
89.47
60.46
53.01
61.99
61.65
61.08
64.30
60.47
94.79
64.53
57.90
60.39
55.33
54.02
55.62
58.82
95.50
64.59
58.28
Nu(z)
RBHT Steam Cooling Test SC-3214-E
Matrix test # 20
Test date – 4/26/2005
Steady state time window: 27300 - 27600 sec
Inlet flow: 4.81 m3/min (169.9 ft3/min)
Inlet steam temperature: 426 K (307 °F)
Upper plenum pressure: 409.5 kPa (59.4 psia)
Bundle power: 139.8 kW
Outlet steam temperature: 780 K (945 °F)
Bundle inlet Reynolds number: 26858
Subchannel Centerline Temperatures
The equations below were correlated using the axial subchannel centerline temperature
distribution.
Subchannels D5 and E5 (use for inner 3x3 rod bundle thermocouple locations)
Tcl = -13.241x3 + 84.47x2 - 39.173x + 448.99
Subchannel C5 (use for 5x5 peripheral rod bundle thermocouple locations)
Tcl = -10.095x3 + 68.576x2 - 23.746x + 444.23
where x is the elevation (m) and Tcl is in (K)
A-255
A-256
A-257
A-258
A-259
A-260
Subchannels D5 and E5 Axial Temperature Profile
3
2
y = -13.241x + 84.47x - 39.173x + 448.99
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
2.5
3
3.5
4
3.5
4
Elevation (m)
Subchannel C5 Axial Temperature Profile
y = -10.095x3 + 68.576x2 - 23.746x + 444.23
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
Elevation (m)
A-261
2.5
3
A-262
Channel
Number
185
186
187
188
189
190
191
192
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
201
202
204
205
208
193
194
195
196
197
198
199
200
H.R.
Location
RodD3_88.3
RodD3_91.3
RodD3_93.1
RodD3_95.3
RodD3_100.1
RodD3_106.1
RodD3_110
RodD3_142.1
RodC4_88.4
RodC4_91.1
RodC4_93.4
RodC4_95.3
RodC4_100.1
RodC4_106.1
RodC4_110
RodC4_142.2
RodD4_88.3
RodD4_91.3
RodD4_93.2
RodD4_95.2
RodD4_100.1
RodD4_106.1
RodD4_110
RodD4_142.1
RodE4_88.4
RodE4_91.2
RodE4_95.3
RodE4_100.9
RodE4_142.3
RodE3_63.4
RodE3_113.6
RodE3_115.5
RodE3_118.5
RodE3_122.7
RodE3_126.5
RodE3_131.7
RodE3_135.6
1.610
2.885
2.934
3.010
3.117
3.213
3.345
3.444
2.245
2.316
2.421
2.563
3.614
2.243
2.319
2.367
2.418
2.543
2.695
2.794
3.609
2.245
2.314
2.372
2.421
2.543
2.695
2.794
3.612
(m)
2.243
2.319
2.365
2.421
2.543
2.695
2.794
3.609
Elevation
0.417
0.022
0.070
0.146
0.253
0.349
-0.046
0.053
-0.003
0.069
0.173
0.315
0.224
-0.005
0.071
0.119
0.170
0.295
0.447
0.546
0.218
-0.003
0.066
0.124
0.173
0.295
0.447
0.546
0.221
(m)
-0.005
0.071
0.117
0.173
0.295
0.447
0.546
0.218
Zgrid
651.7
825.9
843.0
850.2
842.5
839.8
814.5
828.4
719.7
758.1
786.6
803.3
832.3
726.9
764.2
780.5
790.3
807.5
824.0
808.3
836.7
722.0
764.3
779.7
792.8
804.2
825.7
807.9
841.8
(K)
716.5
764.0
780.2
791.5
808.9
831.3
817.7
827.3
H.R.Tw
30782.1
37947.6
36537.5
34305.1
31197.5
28374.2
24520.3
21630.8
37174.5
37885.7
38942.4
40383.3
15396.4
37740.7
38546.0
39055.9
39592.4
40901.8
42512.5
41055.4
15237.6
549.7
721.1
726.7
735.3
746.5
756.0
767.5
775.1
637.0
646.9
661.3
680.5
785.7
636.7
647.3
654.0
661.0
677.8
697.7
710.1
785.4
637.0
646.6
654.7
661.3
677.8
697.7
710.1
785.5
(K)
636.7
647.3
653.6
661.3
677.8
697.7
710.1
785.4
(W/m2)
37447.2
38244.3
38715.0
39302.9
40580.3
42173.3
41647.3
14540.8
37880.4
38614.1
39241.1
39750.4
41049.5
42677.0
41305.7
15770.3
Tcl
H.R. q''
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
566.7
738.6
746.1
754.4
762.5
769.9
775.4
784.0
650.8
665.5
682.2
701.0
793.4
651.7
666.8
675.1
682.5
699.4
718.8
726.5
794.0
651.2
666.2
675.5
683.2
698.9
719.1
726.4
794.9
(K)
650.0
666.7
674.7
683.0
699.7
720.0
728.1
792.4
Tbulk
21910
16121
15939
15743
15557
15391
15272
15086
18625
18152
17641
17102
14888
18595
18110
17855
17631
17145
16623
16424
14877
18612
18128
17841
17610
17161
16615
16425
14857
18652
18111
17865
17617
17139
16591
16384
14909
Re (z)
Table SC-3214-E.1: Summary of Steam Cooling Data
h (z)
361.94
434.49
377.18
358.16
390.22
405.99
626.49
487.36
539.76
409.07
372.88
394.79
396.70
501.65
395.45
370.45
367.39
378.33
403.93
502.04
356.47
534.65
393.61
376.65
362.69
389.83
400.10
506.85
336.46
(W/m2-K)
562.77
393.08
367.11
362.29
371.47
378.98
464.85
416.63
±σhtc
13.83
16.52
14.11
13.42
15.08
16.16
30.91
22.63
21.58
15.41
13.81
14.67
19.68
19.63
14.77
13.69
13.54
13.94
14.93
19.32
16.88
21.21
14.69
13.94
13.34
14.41
14.76
19.51
15.27
(W/m2-K)
22.69
14.69
13.58
13.35
13.68
13.92
17.58
21.94
Fractional
3.82%
3.80%
3.74%
3.75%
3.86%
3.98%
4.93%
4.64%
4.00%
3.77%
3.70%
3.71%
4.96%
3.91%
3.74%
3.70%
3.69%
3.68%
3.70%
3.85%
4.74%
3.97%
3.73%
3.70%
3.68%
3.70%
3.69%
3.85%
4.54%
Uncertainty
4.03%
3.74%
3.70%
3.69%
3.68%
3.67%
3.78%
5.27%
98.42
81.27
69.53
64.97
69.71
71.52
109.25
83.64
121.05
88.88
78.19
79.61
66.91
112.28
85.67
78.85
76.98
76.54
78.57
96.17
60.07
119.80
85.38
80.10
75.88
78.96
77.78
97.10
56.60
126.44
85.17
78.20
75.83
75.11
73.54
88.77
70.41
Nu(z)
A-263
1.615
2.885
2.931
3.015
3.114
3.216
3.343
3.444
209
210
211
212
213
214
215
216
177
178
179
180
181
182
183
217
218
219
220
221
222
223
224
RodE5_63.6
RodE5_113.6
RodE5_115.4
RodE5_118.7
RodE5_122.6
RodE5_126.6
RodE5_131.6
RodE5_135.6
RodC3_79.8
RodC3_85.6
RodC3_88.5
RodC3_92.4
RodC3_94.4
RodC3_97.2
RodC3_108.8
RodD5_50
RodD5_54.1
RodD5_56.9
RodD5_60
RodD5_66.1
RodD5_69.9
RodD5_72.9
RodD5_74.9
1.270
1.374
1.445
1.524
1.679
1.775
1.852
1.902
2.027
2.174
2.248
2.347
2.398
2.469
2.764
(m)
1.618
2.885
2.939
3.117
3.218
3.343
3.447
Channel Elevation
Location
Number
RodC5_63.7
225
RodC5_113.6
226
RodC5_115.7
227
RodC5_122.7
229
RodC5_126.7
230
RodC5_131.6
231
RodC5_135.7
232
H.R.
0.076
0.180
0.251
0.330
0.485
-0.025
0.051
0.102
0.227
0.374
0.000
0.099
0.150
0.221
0.516
0.422
0.022
0.067
0.151
0.250
0.352
-0.048
0.053
(m)
0.424
0.022
0.075
0.253
0.354
-0.048
0.056
Zgrid
606.1
624.5
631.4
641.3
662.3
638.0
679.3
693.6
693.0
705.8
716.5
758.5
763.5
785.8
826.7
643.3
824.7
836.6
840.0
835.8
830.5
807.6
827.4
(K)
651.4
824.0
842.1
846.2
846.6
822.2
840.4
H.R.Tw
27333.6
28407.7
29143.7
29961.5
31562.6
32564.3
33346.5
33871.9
35012.4
36537.9
37299.5
38319.4
38845.8
39579.7
41737.6
30937.3
38179.2
36865.5
34458.2
31605.4
28683.9
25033.3
22112.2
(W/m )
30188.7
37008.5
35536.6
30598.2
27778.0
24325.4
21441.1
2
H.R. q''
508.4
520.3
528.8
538.6
558.7
571.6
582.0
589.0
606.4
627.0
637.4
651.2
658.2
667.9
706.4
550.3
721.1
726.4
735.8
746.3
756.2
767.3
775.1
(K)
550.7
721.1
727.3
746.5
756.4
767.3
775.3
Tcl
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
524.6
537.7
545.9
555.7
575.9
582.7
598.2
606.5
620.8
640.2
650.6
669.0
675.7
687.5
726.4
565.8
738.4
744.8
753.2
761.2
768.6
774.0
783.8
(K)
567.5
738.3
746.4
763.1
771.5
776.5
786.1
Tbulk
24026
23329
22906
22426
21493
21199
20550
20222
19675
18984
18633
18039
17835
17484
16425
21950
16126
15971
15772
15587
15421
15300
15089
21875
16129
15932
15543
15357
15247
15040
Re (z)
Table SC-3214-E.1: Summary of Steam Cooling Data (cont.)
335.72
327.31
340.85
350.24
365.38
588.32
411.36
388.51
484.74
556.79
565.67
428.46
442.65
402.88
416.26
399.27
442.35
401.66
397.08
423.50
462.92
745.77
507.50
(W/m -K)
359.57
431.75
371.63
368.60
369.47
531.54
395.42
2
h (z)
12.89
12.42
12.97
13.33
13.92
24.93
15.86
14.78
19.16
22.54
22.87
16.23
16.82
15.04
15.50
15.48
16.85
15.14
15.11
16.59
19.01
40.00
23.74
(W/m -K)
13.79
16.50
13.95
14.15
14.47
24.37
16.95
2
±σhtc
3.84%
3.80%
3.81%
3.80%
3.81%
4.24%
3.86%
3.80%
3.95%
4.05%
4.04%
3.79%
3.80%
3.73%
3.72%
3.88%
3.81%
3.77%
3.80%
3.92%
4.11%
5.36%
4.68%
Uncertainty
3.84%
3.82%
3.75%
3.84%
3.92%
4.58%
4.29%
Fractional
101.04
95.45
97.42
97.78
97.19
154.03
103.86
96.24
116.21
127.82
126.93
92.37
94.09
83.54
79.75
108.80
82.77
74.23
72.20
75.84
81.75
130.37
87.12
97.60
80.81
68.46
65.77
64.90
92.50
67.59
Nu(z)
A-264
105
106
107
108
109
110
111
112
57
58
59
60
61
62
63
64
137
138
139
140
141
142
143
144
RodF5_41
RodF5_53.1
RodF5_55
RodF5_57.8
RodF5_64
RodF5_73.8
RodF5_75.8
RodF5_76.8
RodC2_41
RodC2_53.1
RodC2_55
RodC2_57.8
RodC2_63.9
RodC2_73.8
RodC2_75.8
RodC2_76.8
RodC6_40.9
RodC6_52.8
RodC6_54.8
RodC6_57.8
RodC6_63.8
RodC6_73.7
RodC6_75.8
RodC6_76.8
1.039
1.341
1.392
1.468
1.621
1.872
1.925
1.951
1.041
1.349
1.397
1.468
1.623
1.875
1.925
1.951
1.041
1.349
1.397
1.468
1.626
1.875
1.925
1.951
(m)
1.041
1.344
1.397
1.468
1.626
1.877
1.928
1.953
Channel Elevation
Number
153
154
155
156
157
158
159
160
H.R.
Location
RodB5_41
RodB5_52.9
RodB5_55
RodB5_57.8
RodB5_64
RodB5_73.9
RodB5_75.9
RodB5_76.9
0.340
0.147
0.198
0.274
0.427
0.072
0.125
0.150
0.343
0.155
0.203
0.274
0.429
0.074
0.125
0.150
0.343
0.155
0.203
0.274
0.432
0.074
0.125
0.150
(m)
0.343
0.150
0.203
0.274
0.432
0.077
0.128
0.153
Zgrid
576.6
617.0
623.6
632.7
653.7
686.1
693.0
697.3
573.2
612.8
616.5
620.6
640.0
671.2
679.7
681.9
571.6
608.2
614.5
623.2
643.3
669.6
678.3
680.2
(K)
578.4
615.7
621.7
628.3
649.0
683.7
693.2
697.1
H.R.Tw
24681.7
27975.4
28532.3
29361.6
31019.8
33760.1
34342.0
34618.5
24803.5
28013.2
28517.4
29262.1
30880.3
33511.3
34041.7
34302.3
482.2
511.4
516.8
525.2
542.9
573.9
580.7
583.9
482.5
512.2
517.4
525.2
543.2
574.2
580.7
583.9
482.5
512.2
517.4
525.2
543.5
574.2
580.7
583.9
(K)
482.5
511.6
517.4
525.2
543.5
574.5
581.0
584.2
(W/m2)
24844.0
28002.4
28559.8
29303.8
30949.4
33580.9
34111.0
34376.2
24690.7
27901.5
28407.1
29151.1
30795.1
33398.8
33927.1
34194.1
Tcl
H.R. q''
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
498.0
529.0
534.6
543.1
561.3
592.6
599.4
602.8
497.6
529.0
533.9
541.1
559.3
590.3
597.2
600.2
497.3
528.2
533.6
541.6
560.1
590.1
596.9
600.0
(K)
498.5
529.0
534.8
542.4
561.1
592.7
599.7
603.1
Tbulk
25589
23790
23490
23048
22158
20782
20503
20366
25612
23791
23527
23151
22254
20874
20593
20468
25628
23833
23545
23129
22216
20884
20602
20480
25558
23789
23482
23085
22172
20776
20491
20356
Re (z)
Table SC-3214-E.1: Summary of Steam Cooling Data (cont.)
h (z)
314.07
317.88
320.75
327.75
335.72
361.07
366.92
366.47
328.10
333.97
345.05
368.09
382.62
414.66
412.42
420.07
332.34
348.68
350.80
356.98
370.11
419.83
417.08
426.12
(W/m2-K)
310.81
322.76
328.33
340.99
351.98
369.06
364.90
365.37
±σhtc
12.15
12.04
12.13
12.38
12.65
13.57
13.79
13.75
12.79
12.75
13.21
14.20
14.72
16.00
15.85
16.17
13.01
13.44
13.49
13.70
14.16
16.25
16.07
16.46
(W/m2-K)
11.98
12.25
12.46
12.97
13.37
13.94
13.72
13.73
Fractional
3.87%
3.79%
3.78%
3.78%
3.77%
3.76%
3.76%
3.75%
3.90%
3.82%
3.83%
3.86%
3.85%
3.86%
3.84%
3.85%
3.91%
3.85%
3.84%
3.84%
3.83%
3.87%
3.85%
3.86%
Uncertainty
3.85%
3.80%
3.79%
3.80%
3.80%
3.78%
3.76%
3.76%
100.84
94.67
94.23
94.32
92.46
92.37
92.39
91.54
105.44
99.47
101.55
106.44
105.90
106.63
104.38
105.56
106.87
104.05
103.32
103.12
102.24
108.02
105.62
107.15
99.68
96.12
96.42
98.30
97.01
94.38
91.82
91.22
Nu(z)
A-265
98
99
100
101
102
103
104
65
66
67
68
69
70
71
72
129
130
131
132
133
134
135
136
RodF4_85.6
RodF4_88.4
RodF4_92.4
RodF4_94.3
RodF4_97.2
RodF4_108.8
RodF4_111
RodD2_103.2
RodD2_106
RodD2_112.6
RodD2_114.9
RodD2_117.4
RodD2_120.8
RodD2_124.8
RodD2_128.6
RodD6_103.1
RodD6_106
RodD6_112.9
RodD6_114.9
RodD6_116.8
RodD6_120.9
RodD6_124.8
RodD6_128.7
2.619
2.692
2.868
2.918
2.967
3.071
3.170
3.269
2.621
2.692
2.860
2.918
2.982
3.068
3.170
3.266
2.174
2.245
2.347
2.395
2.469
2.764
2.819
(m)
2.245
2.319
2.370
2.416
2.540
2.692
2.791
3.614
Channel Elevation
Number
161
162
163
164
165
166
167
168
H.R.
Location
RodB4_88.4
RodB4_91.3
RodB4_93.3
RodB4_95.1
RodB4_100
RodB4_106
RodB4_109.9
RodB4_142.3
0.371
0.445
0.004
0.055
0.103
0.207
0.306
0.405
0.373
0.445
-0.004
0.055
0.118
0.204
0.306
0.403
0.374
-0.003
0.099
0.147
0.221
0.516
-0.044
(m)
-0.003
0.071
0.122
0.168
0.292
0.445
0.544
0.224
Zgrid
788.5
799.4
798.5
821.6
827.3
821.5
820.7
822.1
803.5
814.1
804.9
825.1
832.1
826.4
822.4
820.8
708.4
714.6
756.8
768.0
780.3
819.9
784.2
(K)
713.7
756.4
766.7
780.0
790.1
818.9
799.3
834.0
H.R.Tw
41554.9
42318.2
38619.3
37029.3
35529.3
32287.1
29203.8
26121.0
41488.6
42231.9
38741.1
36939.8
34990.5
32328.7
29210.2
26231.9
671.0
680.4
702.0
708.1
713.7
725.6
736.5
746.7
671.3
680.4
701.1
708.1
715.5
725.3
736.5
746.5
613.0
622.4
635.7
642.0
651.7
689.3
696.1
(K)
622.4
632.0
638.7
644.7
660.9
680.4
692.7
777.6
(W/m2)
37145.9
37887.7
38402.4
38863.2
40124.9
41665.0
40334.8
15659.5
36660.1
37398.7
38442.6
38942.1
39704.3
41935.6
40222.0
Tcl
H.R. q''
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
690.6
700.2
718.1
727.0
732.7
741.6
750.5
759.3
693.4
702.6
718.4
727.6
734.9
742.2
750.8
758.9
628.9
637.7
655.9
663.0
673.1
711.0
710.8
(K)
637.6
652.8
660.0
667.3
682.4
703.5
710.5
787.0
Tbulk
17396
17124
16641
16411
16268
16048
15835
15630
17316
17056
16634
16396
16212
16034
15829
15640
19380
19068
18457
18228
17915
16828
16834
19073
18559
18323
18095
17634
17034
16843
15022
Re (z)
Table SC-3214-E.1: Summary of Steam Cooling Data (cont.)
h (z)
424.52
426.66
480.18
391.20
375.41
404.33
416.17
415.73
376.69
379.05
447.91
378.71
360.17
383.79
408.02
423.64
461.27
486.65
381.06
371.15
370.49
385.30
547.81
(W/m2-K)
487.90
365.54
360.11
344.67
372.80
360.87
454.09
332.90
±σhtc
15.85
15.90
18.54
14.68
14.09
15.63
16.56
17.04
13.85
13.92
17.06
14.15
13.47
14.69
16.16
17.43
17.85
18.97
14.18
13.74
13.68
14.19
21.56
(W/m2-K)
19.06
13.56
13.31
12.65
13.76
13.21
17.23
15.09
Fractional
3.73%
3.73%
3.86%
3.75%
3.75%
3.87%
3.98%
4.10%
3.68%
3.67%
3.81%
3.74%
3.74%
3.83%
3.96%
4.11%
3.87%
3.90%
3.72%
3.70%
3.69%
3.68%
3.94%
Uncertainty
3.91%
3.71%
3.70%
3.67%
3.69%
3.66%
3.80%
4.53%
87.47
86.18
93.54
74.86
71.04
75.19
76.07
74.72
77.16
76.18
87.20
72.39
67.85
71.28
74.54
76.20
108.58
112.33
84.52
81.06
79.19
76.13
108.28
112.65
81.62
79.16
74.59
78.13
72.41
89.82
56.82
Nu(z)
A-266
169
170
171
172
173
174
175
176
89
90
91
92
93
94
95
96
121
122
123
124
125
126
127
128
RodB3_50.2
RodB3_54.1
RodB3_56.9
RodB3_60.1
RodB3_66.1
RodB3_69.9
RodB3_73
RodB3_75
RodF3_50.1
RodF3_54
RodF3_57
RodF3_60
RodF3_66.1
RodF3_70
RodF3_73
RodF3_75
RodE6_50.2
RodE6_54.1
RodE6_57
RodE6_60.2
RodE6_66.1
RodE6_70
RodE6_73.1
RodE6_75
1.275
1.374
1.448
1.529
1.679
1.778
1.857
1.905
1.273
1.372
1.448
1.524
1.679
1.778
1.854
1.905
1.275
1.374
1.445
1.527
1.679
1.775
1.854
1.905
(m)
1.273
1.372
1.445
1.521
1.676
1.773
1.852
1.902
Channel Elevation
Number
73
74
75
76
77
78
79
80
H.R.
Location
RodE2_50.1
RodE2_54
RodE2_56.9
RodE2_59.9
RodE2_66
RodE2_69.8
RodE2_72.9
RodE2_74.9
0.081
0.180
0.254
0.335
0.485
-0.022
0.056
0.105
0.079
0.178
0.254
0.330
0.485
-0.022
0.054
0.105
0.081
0.180
0.251
0.333
0.485
-0.025
0.054
0.105
(m)
0.079
0.178
0.251
0.328
0.483
-0.027
0.051
0.102
Zgrid
600.0
613.9
619.2
628.8
651.7
630.8
669.5
681.6
600.4
614.8
621.2
630.3
643.5
631.0
672.6
689.7
593.6
604.9
612.8
620.9
644.5
627.5
665.8
679.1
(K)
597.3
613.3
621.5
630.8
649.2
628.2
667.4
681.3
H.R.Tw
27247.3
28273.0
29033.6
29874.7
31424.1
32451.8
33262.2
33771.3
27263.9
28323.4
29137.4
29951.7
31606.7
32662.5
33471.0
34015.5
504.5
514.9
523.0
532.2
549.9
562.0
571.9
578.1
504.3
514.6
523.0
531.6
549.9
562.0
571.6
578.1
504.5
514.9
522.7
531.9
549.9
561.7
571.6
578.1
(K)
504.3
514.6
522.7
531.3
549.6
561.4
571.3
577.7
(W/m2)
27418.8
28464.8
29245.2
30046.7
31683.4
32704.8
33533.9
34072.8
27256.6
28292.0
29033.2
29883.6
31475.6
32486.2
33308.5
33838.5
Tcl
H.R. q''
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
520.4
531.4
539.0
548.3
566.9
573.5
588.2
595.3
520.3
531.3
539.3
548.0
565.5
573.5
588.4
596.7
519.4
529.9
537.7
546.7
565.7
572.7
587.3
594.9
(K)
519.8
531.1
539.1
547.9
566.2
572.5
587.3
595.0
Tbulk
24261
23661
23260
22790
21902
21601
20964
20668
24270
23665
23243
22802
21966
21599
20953
20613
24321
23741
23328
22868
21957
21637
21001
20685
24298
23678
23253
22810
21933
21644
21001
20681
Re (z)
Table SC-3214-E.1: Summary of Steam Cooling Data (cont.)
h (z)
342.36
342.81
361.80
370.86
370.19
566.33
408.95
391.49
340.41
339.32
355.72
364.14
405.35
568.43
397.58
365.48
366.94
377.29
386.49
402.87
399.03
592.99
424.17
401.78
(W/m2-K)
353.50
346.29
355.12
362.38
381.52
587.78
418.50
394.63
±σhtc
13.20
13.13
13.93
14.27
14.15
23.74
15.76
14.92
13.11
12.97
13.64
13.95
15.69
23.80
15.22
13.75
14.35
14.73
15.08
15.76
15.42
25.22
16.46
15.38
(W/m2-K)
13.70
13.27
13.60
13.86
14.64
24.86
16.17
15.03
Fractional
3.86%
3.83%
3.85%
3.85%
3.82%
4.19%
3.85%
3.81%
3.85%
3.82%
3.83%
3.83%
3.87%
4.19%
3.83%
3.76%
3.91%
3.90%
3.90%
3.91%
3.86%
4.25%
3.88%
3.83%
Uncertainty
3.88%
3.83%
3.83%
3.83%
3.84%
4.23%
3.86%
3.81%
104.10
101.50
105.16
105.41
100.62
151.52
105.69
99.51
103.55
100.49
103.31
103.56
110.54
152.07
102.69
92.60
111.86
112.12
112.70
114.94
108.77
158.96
109.85
102.22
107.66
102.61
103.19
103.10
103.87
157.62
108.38
100.38
Nu(z)
RBHT Steam Cooling Test SC-3216-A
Matrix test # 19
Test date –5/5/2005
Steady state time window: 14000 - 15300 sec
Inlet flow: 7.93 m3/min (280.0 ft3/min)
Inlet steam temperature: 414 K (286 °F)
Upper plenum pressure: 133.8 kPa (19.4 psia)
Bundle power: 95.1 kW
Outlet steam temperature: 755 K (900 °F)
Bundle inlet Reynolds number: 14832
Subchannel Centerline Temperatures
The equations below were correlated using the axial subchannel centerline temperature
distribution.
Subchannels D5 and E5 (use for inner 3x3 rod bundle thermocouple locations)
Tcl = -14.368x3 + 88.495x2 - 44.856x + 440.3
Subchannel C5 (use for 5x5 peripheral rod bundle thermocouple locations)
Tcl = -9.7242x3 + 63.535x2 - 14.296x + 429.05
where x is the elevation (m) and Tcl is in (K)
A-267
A-268
A-269
A-270
A-271
A-272
Subchannels D5 and E5 Axial Temperature Profile
3
2
y = -14.368x + 88.495x - 44.856x + 440.3
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
2.5
3
3.5
4
3.5
4
Elevation (m)
Subchannel C5 Axial Temperature Profile
3
2
y = -9.7242x + 63.535x - 14.296x + 429.05
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
Elevation (m)
A-273
2.5
3
A-274
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
201
202
204
205
208
193
194
195
196
197
198
199
200
RodD4_88.3
RodD4_91.3
RodD4_93.2
RodD4_95.2
RodD4_100.1
RodD4_106.1
RodD4_110
RodD4_142.1
RodE4_88.4
RodE4_91.2
RodE4_95.3
RodE4_100.9
RodE4_142.3
RodE3_63.4
RodE3_113.6
RodE3_115.5
RodE3_118.5
RodE3_122.7
RodE3_126.5
RodE3_131.7
RodE3_135.6
1.610
2.885
2.934
3.010
3.117
3.213
3.345
3.444
2.245
2.316
2.421
2.563
3.614
2.243
2.319
2.367
2.418
2.543
2.695
2.794
3.609
2.245
2.314
2.372
2.421
2.543
2.695
2.794
3.612
Channel Elevation
Number
(m)
185
2.243
186
2.319
187
2.365
188
2.421
189
2.543
190
2.695
191
2.794
192
3.609
RodC4_88.4
RodC4_91.1
RodC4_93.4
RodC4_95.3
RodC4_100.1
RodC4_106.1
RodC4_110
RodC4_142.2
H.R.
Location
RodD3_88.3
RodD3_91.3
RodD3_93.1
RodD3_95.3
RodD3_100.1
RodD3_106.1
RodD3_110
RodD3_142.1
0.417
0.022
0.070
0.146
0.253
0.349
-0.046
0.053
-0.003
0.069
0.173
0.315
0.224
-0.005
0.071
0.119
0.170
0.295
0.447
0.546
0.218
-0.003
0.066
0.124
0.173
0.295
0.447
0.546
0.221
Zgrid
(m)
-0.005
0.071
0.117
0.173
0.295
0.447
0.546
0.218
631.0
791.3
807.5
817.8
813.4
808.8
781.5
795.5
692.0
729.8
756.4
771.8
803.5
698.1
734.5
749.5
760.2
774.7
793.2
774.5
806.7
691.5
730.4
748.8
760.7
768.1
789.4
771.1
809.7
H.R.Tw
(K)
688.5
732.1
748.8
762.7
772.2
797.0
780.1
795.7
20927.0
25803.3
24846.2
23333.6
21219.8
19303.4
16680.8
14719.4
25272.0
25758.5
26480.0
27459.6
10480.5
25657.6
26206.3
26554.0
26917.8
27813.7
28908.3
27916.4
10375.0
25752.4
26251.8
26675.4
27025.1
27909.0
29018.5
28082.7
10733.8
H.R. q''
(W/m2)
25454.5
25995.5
26319.1
26715.6
27584.4
28666.9
28312.3
9899.5
537.6
702.5
707.6
715.2
725.1
733.2
742.7
748.6
623.1
632.7
646.5
664.7
755.9
622.8
633.0
639.4
646.1
662.2
680.9
692.4
755.7
623.1
632.3
640.1
646.5
662.2
680.9
692.4
755.8
Tcl
(K)
622.8
633.0
639.1
646.5
662.2
680.9
692.4
755.7
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
553.1
717.3
724.2
732.3
739.8
745.8
749.2
756.4
634.6
648.9
664.8
682.6
763.8
635.3
649.9
657.8
665.1
680.9
699.6
706.1
764.2
634.5
648.7
658.2
665.5
679.8
699.0
705.5
764.8
Tbulk
(K)
633.7
649.5
657.4
665.8
680.5
700.3
707.0
762.4
12154
8998
8901
8791
8691
8613
8570
8479
10351
10088
9811
9519
8387
10337
10069
9931
9805
9545
9255
9159
8383
10352
10091
9923
9799
9563
9265
9168
8376
10367
10076
9938
9793
9552
9246
9146
8405
Re (z)
Table SC-3216-A.1: Summary of Steam Cooling Data
268.64
348.83
298.49
272.95
288.48
306.35
516.09
376.02
440.32
318.11
288.96
307.82
263.89
408.49
309.83
289.44
283.27
296.59
308.85
408.20
243.99
451.70
321.18
294.64
283.89
316.16
320.95
428.47
239.05
h (z)
(W/m2-K)
464.38
314.87
287.85
275.80
300.84
296.34
387.64
296.80
10.75
14.15
11.83
10.77
11.70
12.89
28.77
18.89
19.07
12.68
11.29
12.07
13.21
17.21
12.23
11.28
10.98
11.52
12.00
16.84
11.85
19.57
12.75
11.50
11.00
12.39
12.53
17.85
11.30
±σhtc
(W/m2-K)
20.39
12.50
11.23
10.68
11.74
11.47
15.73
16.36
4.00%
4.06%
3.96%
3.94%
4.06%
4.21%
5.57%
5.02%
4.33%
3.99%
3.91%
3.92%
5.01%
4.21%
3.95%
3.90%
3.88%
3.88%
3.89%
4.12%
4.86%
4.33%
3.97%
3.90%
3.87%
3.92%
3.90%
4.17%
4.73%
Fractional
Uncertainty
4.39%
3.97%
3.90%
3.87%
3.90%
3.87%
4.06%
5.51%
76.44
68.31
57.64
51.86
54.00
56.69
94.87
68.16
102.98
72.04
63.18
64.78
47.17
95.37
70.00
64.27
61.89
62.63
62.71
81.78
43.58
105.66
72.77
65.36
61.98
66.92
65.25
85.94
42.65
108.82
71.20
63.97
60.17
63.59
60.09
77.51
53.19
Nu(z)
A-275
209
210
211
212
213
214
215
216
177
178
179
180
181
182
183
217
218
219
220
221
222
223
224
RodC3_79.8
RodC3_85.6
RodC3_88.5
RodC3_92.4
RodC3_94.4
RodC3_97.2
RodC3_108.8
RodD5_50
RodD5_54.1
RodD5_56.9
RodD5_60
RodD5_66.1
RodD5_69.9
RodD5_72.9
RodD5_74.9
1.270
1.374
1.445
1.524
1.679
1.775
1.852
1.902
2.027
2.174
2.248
2.347
2.398
2.469
2.764
1.615
2.885
2.931
3.015
3.114
3.216
3.343
3.444
Channel Elevation
Number
(m)
225
1.618
226
2.885
227
2.939
229
3.117
230
3.218
231
3.343
232
3.447
RodE5_63.6
RodE5_113.6
RodE5_115.4
RodE5_118.7
RodE5_122.6
RodE5_126.6
RodE5_131.6
RodE5_135.6
H.R.
Location
RodC5_63.7
RodC5_113.6
RodC5_115.7
RodC5_122.7
RodC5_126.7
RodC5_131.6
RodC5_135.7
0.076
0.180
0.251
0.330
0.485
-0.025
0.051
0.102
0.227
0.374
0.000
0.099
0.150
0.221
0.516
0.422
0.022
0.067
0.151
0.250
0.352
-0.048
0.053
Zgrid
(m)
0.424
0.022
0.075
0.253
0.354
-0.048
0.056
586.7
605.2
611.5
619.5
637.8
614.7
652.7
666.7
666.9
676.6
686.5
730.8
742.3
756.0
790.3
622.6
788.8
802.2
811.2
808.9
804.3
780.8
799.5
H.R.Tw
(K)
627.9
787.4
806.8
813.3
812.8
789.1
806.5
18579.6
19310.5
19811.0
20365.7
21453.2
22131.1
22667.6
23025.9
23806.6
24839.2
25359.2
26058.8
26416.1
26915.5
28378.8
21019.4
25950.8
25058.1
23419.6
21486.5
19502.2
17020.0
15036.5
H.R. q''
(W/m2)
20526.3
25167.9
24164.9
20813.0
18897.4
16548.9
14588.5
496.6
508.5
516.9
526.6
546.5
559.2
569.4
576.3
593.3
613.4
623.4
636.7
643.5
652.8
689.0
538.2
702.5
707.3
715.7
724.9
733.4
742.5
748.6
Tcl
(K)
538.5
702.5
708.1
725.1
733.6
742.5
748.7
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
511.7
524.6
532.7
542.1
561.7
568.5
583.3
591.4
605.6
624.0
634.0
652.4
659.9
670.0
705.8
552.3
716.9
723.1
731.6
738.9
745.2
748.9
757.1
Tbulk
(K)
553.4
716.7
724.5
739.8
746.8
750.3
758.3
13329
12940
12707
12447
11937
11769
11418
11236
10929
10555
10362
10025
9893
9724
9163
12177
9004
8916
8800
8703
8621
8573
8471
12147
9007
8897
8691
8600
8555
8455
Re (z)
247.53
239.73
251.35
263.07
281.97
478.39
326.61
305.64
388.39
472.13
482.27
332.61
320.62
312.71
336.01
298.98
361.07
316.88
294.49
307.08
330.23
533.53
354.63
h (z)
(W/m2-K)
275.77
355.62
293.94
283.30
286.36
426.46
302.81
Table SC-3216-A.1: Summary of Steam Cooling Data (cont.)
9.97
9.53
10.03
10.53
11.33
22.21
13.43
12.35
16.50
21.03
21.49
13.34
12.74
12.33
13.29
12.21
14.73
12.67
11.75
12.58
14.13
29.94
17.13
±σhtc
(W/m2-K)
11.16
14.60
11.71
11.52
11.92
21.55
13.89
4.03%
3.97%
3.99%
4.00%
4.02%
4.64%
4.11%
4.04%
4.25%
4.46%
4.46%
4.01%
3.97%
3.94%
3.95%
4.08%
4.08%
4.00%
3.99%
4.10%
4.28%
5.61%
4.83%
Fractional
Uncertainty
4.05%
4.11%
3.98%
4.07%
4.16%
5.05%
4.59%
78.48
73.44
75.38
77.00
78.52
130.97
86.20
79.09
97.16
113.13
112.95
74.73
70.85
67.61
67.35
85.26
70.76
61.32
56.03
57.59
61.17
98.12
64.21
78.41
69.72
56.72
53.04
52.88
78.22
54.69
Nu(z)
A-276
105
106
107
108
109
110
111
112
57
58
59
60
61
62
63
64
137
138
139
140
141
142
143
144
RodC2_41
RodC2_53.1
RodC2_55
RodC2_57.8
RodC2_63.9
RodC2_73.8
RodC2_75.8
RodC2_76.8
RodC6_40.9
RodC6_52.8
RodC6_54.8
RodC6_57.8
RodC6_63.8
RodC6_73.7
RodC6_75.8
RodC6_76.8
1.039
1.341
1.392
1.468
1.621
1.872
1.925
1.951
1.041
1.349
1.397
1.468
1.623
1.875
1.925
1.951
1.041
1.349
1.397
1.468
1.626
1.875
1.925
1.951
Channel Elevation
Number
(m)
153
1.041
154
1.344
155
1.397
156
1.468
157
1.626
158
1.877
159
1.928
160
1.953
RodF5_41
RodF5_53.1
RodF5_55
RodF5_57.8
RodF5_64
RodF5_73.8
RodF5_75.8
RodF5_76.8
H.R.
Location
RodB5_41
RodB5_52.9
RodB5_55
RodB5_57.8
RodB5_64
RodB5_73.9
RodB5_75.9
RodB5_76.9
0.340
0.147
0.198
0.274
0.427
0.072
0.125
0.150
0.343
0.155
0.203
0.274
0.429
0.074
0.125
0.150
0.343
0.155
0.203
0.274
0.432
0.074
0.125
0.150
Zgrid
(m)
0.343
0.150
0.203
0.274
0.432
0.077
0.128
0.153
557.6
596.4
603.0
611.0
630.2
662.0
670.5
675.0
554.3
595.4
600.1
604.4
621.6
647.2
657.2
660.1
555.9
591.9
598.0
605.6
622.4
645.6
654.5
657.2
H.R.Tw
(K)
561.2
596.6
602.8
608.5
626.9
657.6
667.3
671.2
16781.6
19021.6
19397.7
19963.4
21093.5
22956.6
23352.4
23541.1
16862.1
19045.7
19387.7
19892.6
20992.4
22782.4
23290.3
23513.9
15529.3
18185.0
18611.4
19221.5
20576.2
22676.6
23170.5
23389.8
H.R. q''
2
(W/m )
16894.7
19041.3
19421.4
19925.9
21044.9
22829.6
23191.0
23370.6
471.9
500.7
506.0
514.2
531.3
561.1
567.6
570.7
472.1
501.5
506.6
514.2
531.6
561.4
567.6
570.7
472.1
501.5
506.6
514.2
531.9
561.4
567.6
570.7
Tcl
(K)
472.1
501.0
506.6
514.2
531.9
561.8
567.9
571.1
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
486.2
516.6
522.2
530.4
547.8
577.9
584.8
588.1
485.8
517.1
522.1
529.3
546.6
575.7
582.6
585.6
486.1
516.6
521.8
529.5
547.0
575.5
582.1
585.2
Tbulk
(K)
486.9
516.9
522.6
529.9
547.8
577.7
584.5
587.8
14163
13177
13011
12774
12294
11543
11385
11309
14176
13162
13012
12805
12326
11595
11436
11365
14167
13179
13023
12800
12315
11601
11446
11376
14136
13169
12999
12786
12296
11548
11391
11317
Re (z)
234.88
238.54
240.07
247.60
256.09
273.13
272.45
270.85
245.97
243.26
248.80
264.74
280.11
318.97
312.06
315.71
222.28
241.31
244.17
252.53
272.81
323.33
319.99
324.70
h (z)
2
(W/m -K)
227.40
238.93
242.22
253.66
265.97
285.77
280.10
279.96
Table SC-3216-A.1: Summary of Steam Cooling Data (cont.)
9.57
9.50
9.54
9.84
10.14
10.80
10.74
10.65
10.11
9.72
9.95
10.67
11.29
12.99
12.62
12.77
9.19
9.77
9.86
10.19
11.01
13.22
13.03
13.24
±σhtc
(W/m2-K)
9.18
9.52
9.64
10.13
10.61
11.41
11.11
11.09
4.07%
3.98%
3.97%
3.97%
3.96%
3.95%
3.94%
3.93%
4.11%
4.00%
4.00%
4.03%
4.03%
4.07%
4.05%
4.05%
4.13%
4.05%
4.04%
4.04%
4.04%
4.09%
4.07%
4.08%
Fractional
Uncertainty
4.04%
3.98%
3.98%
3.99%
3.99%
3.99%
3.97%
3.96%
79.79
74.63
74.02
74.72
73.86
73.04
71.65
70.65
83.64
76.01
76.72
80.12
81.04
85.76
82.51
82.85
75.53
75.52
75.36
76.39
78.85
86.99
84.70
85.31
77.08
74.71
74.60
76.63
76.73
76.46
73.71
73.09
Nu(z)
A-277
98
99
100
101
102
103
104
65
66
67
68
69
70
71
72
129
130
131
132
133
134
135
136
RodD2_103.2
RodD2_106
RodD2_112.6
RodD2_114.9
RodD2_117.4
RodD2_120.8
RodD2_124.8
RodD2_128.6
RodD6_103.1
RodD6_106
RodD6_112.9
RodD6_114.9
RodD6_116.8
RodD6_120.9
RodD6_124.8
RodD6_128.7
2.619
2.692
2.868
2.918
2.967
3.071
3.170
3.269
2.621
2.692
2.860
2.918
2.982
3.068
3.170
3.266
2.174
2.245
2.347
2.395
2.469
2.764
2.819
Channel Elevation
Number
(m)
161
2.245
162
2.319
163
2.370
164
2.416
165
2.540
166
2.692
167
2.791
168
3.614
RodF4_85.6
RodF4_88.4
RodF4_92.4
RodF4_94.3
RodF4_97.2
RodF4_108.8
RodF4_111
H.R.
Location
RodB4_88.4
RodB4_91.3
RodB4_93.3
RodB4_95.1
RodB4_100
RodB4_106
RodB4_109.9
RodB4_142.3
0.371
0.445
0.004
0.055
0.103
0.207
0.306
0.405
0.373
0.445
-0.004
0.055
0.118
0.204
0.306
0.403
0.374
-0.003
0.099
0.147
0.221
0.516
-0.044
Zgrid
(m)
-0.003
0.071
0.122
0.168
0.292
0.445
0.544
0.224
764.5
773.9
769.5
790.3
798.3
796.4
794.9
796.0
769.0
777.3
768.0
786.9
795.2
794.5
790.6
787.1
679.4
686.1
727.2
739.6
753.8
783.2
752.3
H.R.Tw
(K)
684.9
725.1
739.3
748.9
757.2
784.8
762.6
803.6
28248.3
28765.8
26249.5
27448.0
26563.4
21956.5
19862.6
17765.5
28213.0
28718.5
26347.1
27337.1
26150.2
24329.5
22131.5
20049.0
25402.8
26003.9
27365.2
27902.0
26994.9
28509.6
27349.2
H.R. q''
(W/m2)
25254.2
25763.0
26113.3
26426.8
27280.8
28328.3
27424.2
10659.1
652.7
661.3
681.2
686.8
691.9
702.7
712.4
721.6
653.0
661.3
680.4
686.8
693.5
702.4
712.4
721.3
598.4
607.2
619.7
625.7
634.7
669.5
675.8
Tcl
(K)
607.2
616.3
622.6
628.2
643.3
661.3
672.7
748.2
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
671.3
680.1
695.9
704.0
709.6
718.3
726.2
734.0
672.3
680.7
695.0
703.4
710.5
717.8
725.4
732.3
611.9
620.3
637.7
644.7
654.5
688.5
688.6
Tbulk
(K)
620.1
634.4
642.0
648.3
662.3
681.9
687.7
757.5
9702
9559
9312
9190
9108
8984
8875
8769
9685
9550
9326
9199
9096
8991
8884
8791
10798
10627
10293
10164
9988
9426
9424
10631
10353
10212
10098
9854
9530
9439
8466
Re (z)
303.17
306.76
356.80
318.19
299.74
281.30
288.86
286.49
291.70
297.22
360.60
327.69
308.64
316.98
339.48
366.08
376.06
395.28
305.47
294.04
272.01
301.05
429.50
h (z)
(W/m2-K)
389.91
284.06
268.41
262.77
287.48
275.42
366.13
231.15
Table SC-3216-A.1: Summary of Steam Cooling Data (cont.)
11.79
11.92
14.48
12.42
11.63
11.28
11.91
12.13
11.29
11.51
14.66
12.87
12.07
12.62
14.03
15.93
15.53
16.43
11.90
11.35
10.50
11.69
18.04
±σhtc
(W/m2-K)
16.32
11.11
10.40
10.13
11.17
10.59
14.83
10.81
3.89%
3.89%
4.06%
3.90%
3.88%
4.01%
4.12%
4.23%
3.87%
3.87%
4.07%
3.93%
3.91%
3.98%
4.13%
4.35%
4.13%
4.16%
3.90%
3.86%
3.86%
3.88%
4.20%
Fractional
Uncertainty
4.19%
3.91%
3.87%
3.86%
3.89%
3.85%
4.05%
4.68%
65.36
64.90
73.01
64.02
59.61
54.97
55.56
54.26
62.75
62.80
73.93
66.01
61.28
62.01
65.39
69.56
92.69
95.52
70.94
67.22
60.83
62.57
89.24
94.26
66.45
61.72
59.59
63.21
58.04
76.22
41.82
Nu(z)
A-278
169
170
171
172
173
174
175
176
89
90
91
92
93
94
95
96
121
122
123
124
125
126
127
128
RodF3_50.1
RodF3_54
RodF3_57
RodF3_60
RodF3_66.1
RodF3_70
RodF3_73
RodF3_75
RodE6_50.2
RodE6_54.1
RodE6_57
RodE6_60.2
RodE6_66.1
RodE6_70
RodE6_73.1
RodE6_75
1.275
1.374
1.448
1.529
1.679
1.778
1.857
1.905
1.273
1.372
1.448
1.524
1.679
1.778
1.854
1.905
1.275
1.374
1.445
1.527
1.679
1.775
1.854
1.905
Channel Elevation
Number
(m)
73
1.273
74
1.372
75
1.445
76
1.521
77
1.676
78
1.773
79
1.852
80
1.902
RodB3_50.2
RodB3_54.1
RodB3_56.9
RodB3_60.1
RodB3_66.1
RodB3_69.9
RodB3_73
RodB3_75
H.R.
Location
RodE2_50.1
RodE2_54
RodE2_56.9
RodE2_59.9
RodE2_66
RodE2_69.8
RodE2_72.9
RodE2_74.9
0.081
0.180
0.254
0.335
0.485
-0.022
0.056
0.105
0.079
0.178
0.254
0.330
0.485
-0.022
0.054
0.105
0.081
0.180
0.251
0.333
0.485
-0.025
0.054
0.105
Zgrid
(m)
0.079
0.178
0.251
0.328
0.483
-0.027
0.051
0.102
582.0
595.8
602.3
610.9
629.7
608.7
643.8
656.0
584.1
598.8
605.4
613.7
624.6
611.5
646.8
660.3
574.8
586.1
594.6
601.4
622.0
606.0
639.8
653.3
H.R.Tw
(K)
581.6
597.7
606.1
613.9
629.0
607.5
645.9
660.1
17607.4
18490.9
19100.5
19790.3
21108.5
21507.5
22558.5
23076.8
17650.5
18568.6
19210.6
19876.8
21157.3
21690.2
22748.0
23319.0
18531.6
19233.9
19740.0
20315.6
21398.2
22083.3
22642.2
23005.0
H.R. q''
2
(W/m )
17717.9
18646.4
19291.8
19949.2
21275.5
21667.0
22774.3
23349.2
494.0
504.1
512.0
521.0
538.1
549.8
559.3
565.2
493.7
503.9
512.0
520.4
538.1
549.8
559.0
565.2
494.0
504.1
511.7
520.7
538.1
549.5
559.0
565.2
Tcl
(K)
493.7
503.9
511.7
520.1
537.8
549.2
558.7
564.8
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
508.6
519.4
527.1
536.0
553.4
559.6
573.4
580.3
508.8
519.7
527.6
535.9
552.5
560.1
573.6
581.0
507.4
517.8
525.6
534.1
552.1
558.9
572.5
579.8
Tbulk
(K)
508.3
519.5
527.5
535.8
553.0
558.9
573.2
580.7
13423
13094
12868
12616
12148
11988
11651
11488
13419
13085
12854
12617
12170
11977
11645
11471
13461
13142
12913
12667
12182
12006
11673
11499
13432
13090
12857
12622
12158
12006
11655
11478
Re (z)
239.95
242.14
253.74
264.11
276.44
438.35
320.47
304.92
234.31
234.75
246.96
255.78
293.57
422.09
311.01
294.02
274.91
281.64
285.85
302.22
306.12
469.08
336.00
313.29
h (z)
2
(W/m -K)
241.97
238.36
245.46
255.26
280.16
446.16
313.35
294.30
Table SC-3216-A.1: Summary of Steam Cooling Data (cont.)
9.77
9.77
10.26
10.68
11.12
19.95
13.09
12.30
9.49
9.40
9.92
10.26
11.94
18.88
12.59
11.74
11.34
11.58
11.73
12.48
12.52
21.63
13.86
12.72
±σhtc
(W/m2-K)
9.85
9.56
9.83
10.23
11.27
20.36
12.70
11.75
4.07%
4.04%
4.04%
4.04%
4.02%
4.55%
4.09%
4.03%
4.05%
4.01%
4.02%
4.01%
4.07%
4.47%
4.05%
3.99%
4.13%
4.11%
4.10%
4.13%
4.09%
4.61%
4.13%
4.06%
Fractional
Uncertainty
4.07%
4.01%
4.00%
4.01%
4.02%
4.56%
4.05%
3.99%
76.70
75.20
77.23
78.54
78.61
122.69
86.67
81.07
74.87
72.86
75.07
76.07
83.66
118.00
84.06
78.04
88.15
87.85
87.35
90.31
87.33
131.53
91.08
83.39
77.40
74.01
74.64
75.95
79.74
125.10
84.78
78.17
Nu(z)
RBHT Steam Cooling Test SC-3216-B
Matrix test # 8
Test date – 5/5/2005
Steady state time window: 21300 - 22740 sec
Inlet flow: 4.81 m3/min (169.7 ft3/min)
Inlet steam temperature: 419 K (295 °F)
Upper plenum pressure: 271.7 kPa (39.4 psia)
Bundle power: 95.2 kW
Outlet steam temperature: 770 K (927 °F)
Bundle inlet Reynolds number: 18147
Subchannel Centerline Temperatures
The equations below were correlated using the axial subchannel centerline temperature
distribution.
Subchannels D5 and E5 (use for inner 3x3 rod bundle thermocouple locations)
Tcl = -14.189x3 + 88.469x2 - 43.509x + 444.57
Subchannel C5 (use for 5x5 peripheral rod bundle thermocouple locations)
Tcl = -7.7021x3 + 53.724x2 + 0.2758x + 429.27
where x is the elevation (m) and Tcl is in (K)
A-279
A-280
A-281
A-282
A-283
A-284
Subchannels D5 and E5 Axial Temperature Profile
3
2
y = -14.189x + 88.469x - 43.509x + 444.57
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
2.5
3
3.5
4
3.5
4
Elevation (m)
Subchannel C5 Axial Temperatre Profile
3
2
y = -7.7021x + 53.724x + 0.2758x + 429.27
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
Elevation (m)
A-285
2.5
3
A-286
Channel
Number
185
186
187
188
189
190
191
192
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
201
202
204
205
208
193
194
195
196
197
198
199
200
H.R.
Location
RodD3_88.3
RodD3_91.3
RodD3_93.1
RodD3_95.3
RodD3_100.1
RodD3_106.1
RodD3_110
RodD3_142.1
RodC4_88.4
RodC4_91.1
RodC4_93.4
RodC4_95.3
RodC4_100.1
RodC4_106.1
RodC4_110
RodC4_142.2
RodD4_88.3
RodD4_91.3
RodD4_93.2
RodD4_95.2
RodD4_100.1
RodD4_106.1
RodD4_110
RodD4_142.1
RodE4_88.4
RodE4_91.2
RodE4_95.3
RodE4_100.9
RodE4_142.3
RodE3_63.4
RodE3_113.6
RodE3_115.5
RodE3_118.5
RodE3_122.7
RodE3_126.5
RodE3_131.7
RodE3_135.6
1.610
2.885
2.934
3.010
3.117
3.213
3.345
3.444
2.245
2.316
2.421
2.563
3.614
2.243
2.319
2.367
2.418
2.543
2.695
2.794
3.609
2.245
2.314
2.372
2.421
2.543
2.695
2.794
3.612
Elevation
(m)
2.243
2.319
2.365
2.421
2.543
2.695
2.794
3.609
0.417
0.022
0.070
0.146
0.253
0.349
-0.046
0.053
-0.003
0.069
0.173
0.315
0.224
-0.005
0.071
0.119
0.170
0.295
0.447
0.546
0.218
-0.003
0.066
0.124
0.173
0.295
0.447
0.546
0.221
Zgrid
(m)
-0.005
0.071
0.117
0.173
0.295
0.447
0.546
0.218
639.4
803.8
820.1
830.8
826.9
822.2
794.7
809.1
702.5
740.3
768.5
785.0
818.9
708.5
745.6
761.3
772.8
789.2
807.7
789.5
822.6
702.5
741.4
760.4
772.5
787.0
800.8
782.8
825.7
H.R.Tw
(K)
699.9
743.6
761.3
776.2
795.0
812.2
795.6
810.3
20943.5
25811.2
24856.8
23341.5
21221.6
19305.1
16681.6
14715.3
25293.6
25783.7
26499.8
27478.7
10480.7
25672.0
26216.5
26563.2
26932.4
27825.1
28918.8
27930.3
10370.1
25767.4
26267.0
26684.9
27037.1
27918.9
29027.9
28082.9
10727.7
H.R. q''
(W/m2)
25477.4
26016.8
26339.1
26737.6
27600.8
28684.9
28330.5
9897.8
544.7
714.7
720.1
728.2
738.8
747.5
757.9
764.5
632.3
642.1
656.4
675.3
773.1
631.9
642.5
649.1
656.0
672.6
692.1
704.2
772.9
632.3
641.8
649.8
656.4
672.6
692.1
704.2
773.0
Tcl
(K)
631.9
642.5
648.8
656.4
672.6
692.1
704.2
772.9
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
560.5
729.6
736.8
745.3
753.4
759.9
764.0
771.9
644.0
658.5
675.1
693.6
780.7
644.7
659.7
667.8
675.5
692.1
711.4
718.4
781.2
644.0
658.4
668.3
675.7
691.7
710.2
717.3
781.8
Tbulk
(K)
643.3
659.3
667.5
676.4
693.0
712.1
719.4
779.1
14767
10883
10763
10626
10497
10398
10336
10218
12548
12229
11885
11524
10091
12532
12204
12034
11877
11553
11197
11074
10084
12548
12232
12024
11872
11559
11217
11093
10076
12565
12211
12039
11859
11534
11184
11056
10114
Re (z)
Table SC-3216-B.1: Summary of Steam Cooling Data
265.42
347.91
298.26
273.08
288.89
309.88
543.53
395.53
432.16
315.14
283.71
300.53
274.29
402.09
305.20
284.22
276.81
286.59
300.24
392.73
250.52
440.44
316.38
289.46
279.47
292.84
320.46
428.66
244.36
h (z)
(W/m2-K)
449.87
308.76
280.89
267.67
270.69
286.69
371.75
317.27
10.59
14.10
11.82
10.77
11.72
13.08
31.25
20.39
18.61
12.54
11.05
11.74
13.99
16.87
12.02
11.05
10.70
11.08
11.62
16.05
12.32
18.93
12.53
11.27
10.80
11.34
12.51
17.86
11.67
±σhtc
(W/m2-K)
19.55
12.21
10.92
10.32
10.41
11.05
14.95
18.17
3.99%
4.05%
3.96%
3.94%
4.06%
4.22%
5.75%
5.15%
4.31%
3.98%
3.89%
3.91%
5.10%
4.19%
3.94%
3.89%
3.86%
3.87%
3.87%
4.09%
4.92%
4.30%
3.96%
3.89%
3.87%
3.87%
3.90%
4.17%
4.78%
Fractional
Uncertainty
4.35%
3.95%
3.89%
3.86%
3.85%
3.85%
4.02%
5.73%
73.70
66.35
56.08
50.50
52.59
55.71
96.96
69.52
98.66
69.68
60.53
61.66
47.42
91.65
67.31
61.59
59.00
58.99
59.39
76.59
43.28
100.55
69.97
62.67
59.54
60.32
63.54
83.79
42.17
102.87
68.15
60.91
56.95
55.60
56.62
72.35
55.02
Nu(z)
A-287
209
210
211
212
213
214
215
216
177
178
179
180
181
182
183
217
218
219
220
221
222
223
224
RodC3_79.8
RodC3_85.6
RodC3_88.5
RodC3_92.4
RodC3_94.4
RodC3_97.2
RodC3_108.8
RodD5_50
RodD5_54.1
RodD5_56.9
RodD5_60
RodD5_66.1
RodD5_69.9
RodD5_72.9
RodD5_74.9
1.270
1.374
1.445
1.524
1.679
1.775
1.852
1.902
2.027
2.174
2.248
2.347
2.398
2.469
2.764
1.615
2.885
2.931
3.015
3.114
3.216
3.343
3.444
Channel Elevation
Number
(m)
225
1.618
226
2.885
227
2.939
229
3.117
230
3.218
231
3.343
232
3.447
RodE5_63.6
RodE5_113.6
RodE5_115.4
RodE5_118.7
RodE5_122.6
RodE5_126.6
RodE5_131.6
RodE5_135.6
H.R.
Location
RodC5_63.7
RodC5_113.6
RodC5_115.7
RodC5_122.7
RodC5_126.7
RodC5_131.6
RodC5_135.7
0.076
0.180
0.251
0.330
0.485
-0.025
0.051
0.102
0.227
0.374
0.000
0.099
0.150
0.221
0.516
0.422
0.022
0.067
0.151
0.250
0.352
-0.048
0.053
Zgrid
(m)
0.424
0.022
0.075
0.253
0.354
-0.048
0.056
593.1
612.5
619.2
626.8
645.3
622.2
661.2
675.7
676.4
686.8
697.6
742.7
755.0
769.8
801.1
630.8
803.6
817.7
827.3
824.5
821.4
797.7
815.5
H.R.Tw
(K)
635.5
800.6
820.8
829.0
828.9
805.1
822.8
18594.6
19327.6
19825.6
20374.7
21469.4
22146.9
22684.8
23040.8
23821.0
24859.7
25375.1
26071.8
26432.8
26924.7
28389.3
21044.3
25973.3
25086.3
23438.8
21502.4
19514.5
17032.2
15045.6
H.R. q''
(W/m2)
20536.1
25179.5
24161.8
20810.7
18896.4
16546.6
14582.9
502.9
515.0
523.6
533.5
553.7
566.8
577.3
584.3
601.7
622.4
632.6
646.3
653.3
662.9
700.5
545.3
714.7
719.8
728.7
738.5
747.7
757.7
764.5
Tcl
(K)
545.7
714.7
720.6
738.8
747.9
757.7
764.6
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
518.0
531.3
539.6
549.1
569.0
576.0
591.2
599.5
614.1
633.1
643.5
662.4
670.2
680.7
717.3
559.6
729.5
736.1
745.2
752.8
760.0
764.4
773.0
Tbulk
(K)
560.6
729.0
737.3
753.8
761.4
765.6
774.3
16219
15736
15448
15131
14504
14296
13863
13639
13260
12799
12560
12147
11984
11773
11093
14794
10883
10774
10628
10506
10397
10330
10203
14761
10891
10754
10492
10375
10312
10183
Re (z)
247.36
237.82
249.09
262.17
281.42
479.45
324.18
302.34
382.37
462.55
468.95
324.80
311.70
302.23
338.78
295.59
350.87
307.42
285.17
300.10
317.70
510.42
354.15
h (z)
(W/m2-K)
274.26
351.93
289.52
276.85
279.75
419.20
300.91
Table SC-3216-B.1: Summary of Steam Cooling Data (cont.)
9.96
9.44
9.92
10.49
11.30
22.27
13.31
12.18
16.17
20.46
20.69
12.96
12.32
11.85
13.41
12.04
14.22
12.22
11.31
12.23
13.44
27.90
17.09
±σhtc
(W/m2-K)
11.08
14.42
11.50
11.20
11.58
21.01
13.77
4.03%
3.97%
3.98%
4.00%
4.01%
4.64%
4.10%
4.03%
4.23%
4.42%
4.41%
3.99%
3.95%
3.92%
3.96%
4.07%
4.05%
3.97%
3.97%
4.07%
4.23%
5.47%
4.83%
Fractional
Uncertainty
4.04%
4.10%
3.97%
4.05%
4.14%
5.01%
4.58%
76.39
71.01
72.85
74.88
76.52
128.17
83.55
76.41
93.40
108.20
107.19
71.21
67.19
63.71
66.22
82.25
66.92
57.88
52.75
54.69
57.12
91.00
62.12
76.12
67.19
54.38
50.36
50.16
74.56
52.65
Nu(z)
A-288
105
106
107
108
109
110
111
112
57
58
59
60
61
62
63
64
137
138
139
140
141
142
143
144
RodC2_41
RodC2_53.1
RodC2_55
RodC2_57.8
RodC2_63.9
RodC2_73.8
RodC2_75.8
RodC2_76.8
RodC6_40.9
RodC6_52.8
RodC6_54.8
RodC6_57.8
RodC6_63.8
RodC6_73.7
RodC6_75.8
RodC6_76.8
1.039
1.341
1.392
1.468
1.621
1.872
1.925
1.951
1.041
1.349
1.397
1.468
1.623
1.875
1.925
1.951
1.041
1.349
1.397
1.468
1.626
1.875
1.925
1.951
Channel Elevation
Number
(m)
153
1.041
154
1.344
155
1.397
156
1.468
157
1.626
158
1.877
159
1.928
160
1.953
RodF5_41
RodF5_53.1
RodF5_55
RodF5_57.8
RodF5_64
RodF5_73.8
RodF5_75.8
RodF5_76.8
H.R.
Location
RodB5_41
RodB5_52.9
RodB5_55
RodB5_57.8
RodB5_64
RodB5_73.9
RodB5_75.9
RodB5_76.9
0.340
0.147
0.198
0.274
0.427
0.072
0.125
0.150
0.343
0.155
0.203
0.274
0.429
0.074
0.125
0.150
0.343
0.155
0.203
0.274
0.432
0.074
0.125
0.150
Zgrid
(m)
0.343
0.150
0.203
0.274
0.432
0.077
0.128
0.153
564.5
604.2
611.3
619.7
639.2
671.3
680.1
684.7
562.0
602.4
607.3
612.3
630.6
657.5
667.9
670.9
561.9
599.3
605.6
613.4
630.7
654.8
663.8
666.4
H.R.Tw
(K)
567.6
604.5
610.6
616.0
634.4
667.8
677.8
682.0
16795.4
19032.5
19412.6
19977.7
21107.9
22970.5
23362.4
23555.2
16876.6
19060.1
19403.6
19909.6
21010.3
22797.5
23159.0
23340.5
16801.5
18981.6
19323.9
19830.8
20951.4
22718.5
23077.6
23260.2
H.R. q''
2
(W/m )
16904.8
19053.1
19432.7
19938.2
21057.4
22846.8
23207.8
23385.5
478.9
507.7
513.0
521.1
538.0
567.5
574.0
577.1
479.1
508.5
513.5
521.1
538.3
567.8
574.0
577.1
479.1
508.5
513.5
521.1
538.6
567.8
574.0
577.1
Tcl
(K)
479.1
507.9
513.5
521.1
538.6
568.1
574.3
577.4
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
493.2
523.8
529.4
537.5
554.9
584.8
591.7
595.0
492.9
524.1
529.1
536.3
553.7
582.8
589.6
592.7
492.9
523.6
528.9
536.5
553.9
582.3
588.9
592.0
Tbulk
(K)
493.9
524.0
529.7
536.9
554.6
584.7
591.5
594.8
17201
16005
15804
15518
14943
14043
13852
13760
17211
15992
15811
15560
14980
14101
13908
13823
17212
16011
15821
15554
14972
14114
13927
13844
17172
15995
15792
15539
14953
14045
13855
13765
Re (z)
235.37
236.58
236.98
243.17
250.37
265.57
264.11
262.58
244.37
243.53
248.18
262.08
273.06
305.10
295.89
298.66
243.56
250.89
251.69
257.90
273.00
313.60
308.36
312.42
h (z)
2
(W/m -K)
229.38
236.74
240.11
252.12
263.80
275.19
268.94
268.12
Table SC-3216-B.1: Summary of Steam Cooling Data (cont.)
9.59
9.41
9.39
9.63
9.87
10.45
10.35
10.27
10.03
9.73
9.92
10.54
10.95
12.35
11.86
11.98
10.00
10.10
10.10
10.35
10.96
12.78
12.48
12.66
±σhtc
(W/m2-K)
9.28
9.41
9.54
10.06
10.50
10.91
10.59
10.54
4.08%
3.98%
3.96%
3.96%
3.94%
3.93%
3.92%
3.91%
4.10%
4.00%
4.00%
4.02%
4.01%
4.05%
4.01%
4.01%
4.11%
4.03%
4.01%
4.01%
4.01%
4.08%
4.05%
4.05%
Fractional
Uncertainty
4.04%
3.98%
3.97%
3.99%
3.98%
3.97%
3.94%
3.93%
77.44
71.99
71.11
71.48
70.48
69.51
68.01
67.08
80.45
74.04
74.51
77.28
77.09
80.25
76.56
76.71
80.19
76.38
75.62
76.01
77.03
82.57
79.91
80.39
75.34
71.99
71.99
74.22
74.32
72.04
69.27
68.52
Nu(z)
A-289
98
99
100
101
102
103
104
65
66
67
68
69
70
71
72
129
130
131
132
133
134
135
136
RodD2_103.2
RodD2_106
RodD2_112.6
RodD2_114.9
RodD2_117.4
RodD2_120.8
RodD2_124.8
RodD2_128.6
RodD6_103.1
RodD6_106
RodD6_112.9
RodD6_114.9
RodD6_116.8
RodD6_120.9
RodD6_124.8
RodD6_128.7
2.619
2.692
2.868
2.918
2.967
3.071
3.170
3.269
2.621
2.692
2.860
2.918
2.982
3.068
3.170
3.266
2.174
2.245
2.347
2.395
2.469
2.764
2.819
Channel Elevation
Number
(m)
161
2.245
162
2.319
163
2.370
164
2.416
165
2.540
166
2.692
167
2.791
168
3.614
RodF4_85.6
RodF4_88.4
RodF4_92.4
RodF4_94.3
RodF4_97.2
RodF4_108.8
RodF4_111
H.R.
Location
RodB4_88.4
RodB4_91.3
RodB4_93.3
RodB4_95.1
RodB4_100
RodB4_106
RodB4_109.9
RodB4_142.3
0.371
0.445
0.004
0.055
0.103
0.207
0.306
0.405
0.373
0.445
-0.004
0.055
0.118
0.204
0.306
0.403
0.374
-0.003
0.099
0.147
0.221
0.516
-0.044
Zgrid
(m)
-0.003
0.071
0.122
0.168
0.292
0.445
0.544
0.224
780.2
790.0
784.7
806.9
814.9
812.9
812.0
812.8
782.5
791.8
780.5
799.9
808.6
808.3
804.7
800.6
689.7
696.5
739.7
752.9
767.5
798.5
767.0
H.R.Tw
(K)
695.2
735.9
750.4
760.5
775.7
793.7
775.0
818.6
28265.8
28782.8
26255.0
25189.8
24166.7
21962.4
19864.5
17771.1
28223.7
28728.1
26357.9
25132.4
23803.1
21995.3
19864.4
17842.4
24938.5
25440.7
26154.3
26489.5
27009.0
28524.4
27363.9
H.R. q''
(W/m2)
25268.6
25774.3
26125.4
26440.7
27296.3
28342.0
27437.9
10658.4
660.1
669.1
690.2
696.2
701.8
713.7
724.6
735.2
660.4
669.1
689.3
696.2
703.6
713.4
724.6
734.9
604.7
613.6
626.3
632.3
641.5
677.8
684.5
Tcl
(K)
613.6
622.8
629.1
634.8
650.4
669.1
681.1
768.4
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
680.1
689.3
706.0
714.6
720.7
730.2
739.2
748.1
680.8
689.6
704.5
713.5
721.1
729.2
738.0
745.9
618.8
627.4
645.2
652.4
662.5
697.9
698.2
Tbulk
(K)
627.2
641.6
649.3
655.8
671.2
689.9
696.8
776.8
11784
11606
11294
11139
11034
10872
10724
10580
11772
11600
11321
11160
11027
10888
10743
10616
13142
12934
12522
12361
12144
11443
11437
12939
12602
12429
12288
11963
11594
11463
10147
Re (z)
282.40
285.81
333.62
273.10
256.51
265.67
273.01
274.96
277.41
280.94
346.71
290.77
272.00
278.06
297.81
326.22
352.03
367.86
276.77
263.69
257.21
283.43
398.09
h (z)
(W/m2-K)
371.21
273.42
258.58
252.42
261.38
272.96
350.62
254.78
Table SC-3216-B.1: Summary of Steam Cooling Data (cont.)
10.88
11.00
13.36
10.65
9.97
10.54
11.11
11.51
10.67
10.80
13.98
11.45
10.69
11.13
12.37
14.34
14.41
15.14
10.75
10.16
9.86
10.91
16.40
±σhtc
(W/m2-K)
15.35
10.64
9.97
9.69
10.03
10.49
14.08
12.43
3.85%
3.85%
4.00%
3.90%
3.89%
3.97%
4.07%
4.19%
3.84%
3.84%
4.03%
3.94%
3.93%
4.00%
4.15%
4.40%
4.09%
4.12%
3.89%
3.85%
3.83%
3.85%
4.12%
Fractional
Uncertainty
4.13%
3.89%
3.85%
3.84%
3.84%
3.84%
4.02%
4.88%
59.61
59.17
66.73
53.66
49.80
50.60
51.09
50.57
58.47
58.13
69.55
57.27
52.76
53.07
55.86
60.26
85.07
87.17
63.02
59.09
56.38
57.64
80.90
88.01
62.75
58.34
56.14
56.22
56.44
71.47
44.37
Nu(z)
A-290
169
170
171
172
173
174
175
176
89
90
91
92
93
94
95
96
121
122
123
124
125
126
127
128
RodF3_50.1
RodF3_54
RodF3_57
RodF3_60
RodF3_66.1
RodF3_70
RodF3_73
RodF3_75
RodE6_50.2
RodE6_54.1
RodE6_57
RodE6_60.2
RodE6_66.1
RodE6_70
RodE6_73.1
RodE6_75
1.275
1.374
1.448
1.529
1.679
1.778
1.857
1.905
1.273
1.372
1.448
1.524
1.679
1.778
1.854
1.905
1.275
1.374
1.445
1.527
1.679
1.775
1.854
1.905
Channel Elevation
Number
(m)
73
1.273
74
1.372
75
1.445
76
1.521
77
1.676
78
1.773
79
1.852
80
1.902
RodB3_50.2
RodB3_54.1
RodB3_56.9
RodB3_60.1
RodB3_66.1
RodB3_69.9
RodB3_73
RodB3_75
H.R.
Location
RodE2_50.1
RodE2_54
RodE2_56.9
RodE2_59.9
RodE2_66
RodE2_69.8
RodE2_72.9
RodE2_74.9
0.081
0.180
0.254
0.335
0.485
-0.022
0.056
0.105
0.079
0.178
0.254
0.330
0.485
-0.022
0.054
0.105
0.081
0.180
0.251
0.333
0.485
-0.025
0.054
0.105
Zgrid
(m)
0.079
0.178
0.251
0.328
0.483
-0.027
0.051
0.102
587.5
602.5
610.2
619.4
638.2
615.9
652.8
665.2
589.8
605.3
611.8
620.0
631.1
617.4
654.3
668.8
582.4
593.8
602.5
608.8
630.4
612.5
648.8
662.4
H.R.Tw
(K)
587.4
604.2
613.5
621.4
636.6
614.3
653.8
668.7
18538.9
19233.6
19753.2
20323.1
21376.3
22074.4
22627.7
22967.5
18549.5
19268.0
19821.5
20374.9
21501.5
22218.8
22772.6
23143.3
18548.2
19254.6
19763.8
20336.5
21419.6
22106.3
22664.2
23027.8
H.R. q''
2
(W/m )
18654.1
19364.8
19892.7
20442.0
21554.7
22249.5
22813.3
23181.1
501.0
511.1
518.9
527.8
544.7
556.3
565.7
571.5
500.7
510.8
518.9
527.2
544.7
556.3
565.4
571.5
501.0
511.1
518.6
527.5
544.7
556.0
565.4
571.5
Tcl
(K)
500.7
510.8
518.6
526.9
544.4
555.7
565.1
571.2
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
515.4
526.3
534.1
543.0
560.3
566.2
580.2
587.1
515.6
526.6
534.4
542.7
559.1
566.5
580.2
587.7
514.6
524.9
532.6
541.0
559.0
565.4
579.3
586.7
Tbulk
(K)
515.2
526.4
534.4
542.7
559.8
565.5
579.9
587.4
16315
15912
15636
15330
14772
14588
14174
13978
16309
15903
15627
15343
14809
14580
14175
13961
16348
15964
15689
15398
14812
14613
14201
13991
16324
15910
15625
15343
14787
14612
14184
13969
Re (z)
257.09
252.43
259.53
266.02
274.55
444.37
311.73
294.19
249.84
244.86
256.13
263.43
298.72
436.09
307.49
285.50
273.49
279.52
282.75
300.27
300.07
469.20
325.94
304.08
h (z)
2
(W/m -K)
258.25
248.94
251.70
259.65
280.56
455.41
308.46
285.42
Table SC-3216-B.1: Summary of Steam Cooling Data (cont.)
10.45
10.14
10.43
10.68
10.98
20.08
12.70
11.80
10.09
9.77
10.26
10.55
12.13
19.52
12.46
11.36
11.27
11.47
11.57
12.37
12.22
21.63
13.40
12.27
±σhtc
(W/m2-K)
10.48
9.95
10.03
10.36
11.24
20.69
12.50
11.35
4.06%
4.02%
4.02%
4.02%
4.00%
4.52%
4.07%
4.01%
4.04%
3.99%
4.00%
4.00%
4.06%
4.48%
4.05%
3.98%
4.12%
4.10%
4.09%
4.12%
4.07%
4.61%
4.11%
4.04%
Fractional
Uncertainty
4.06%
4.00%
3.99%
3.99%
4.01%
4.54%
4.05%
3.98%
79.91
76.32
76.94
77.12
76.26
121.65
82.49
76.57
77.63
73.99
75.88
76.44
83.22
119.31
81.38
74.20
85.20
84.82
84.14
87.49
83.62
128.70
86.45
79.24
80.32
75.25
74.56
75.34
78.03
124.90
81.70
74.23
Nu(z)
RBHT Steam Cooling Test SC-3216-C
Matrix test # 21
Test date – 5/5/2005
Steady state time window: 25200 - 26460 sec
Inlet flow: 3.12 m3/min (110.3 ft3/min)
Inlet steam temperature: 424 K (303 °F)
Upper plenum pressure: 409.5 kPa (59.4 psia)
Bundle power: 93.5 kW
Outlet steam temperature: 790 K (963 °F)
Bundle inlet Reynolds number: 17631
Subchannel Centerline Temperatures
The equations below were correlated using the axial subchannel centerline temperature
distribution.
Subchannels D5 and E5 (use for inner 3x3 rod bundle thermocouple locations)
Tcl = -15.612x3 + 96.934x2 - 52.418x + 451.41
Subchannel C5 (use for 5x5 peripheral rod bundle thermocouple locations)
Tcl = -9.0768x3 + 62.294x2 - 9.6212x + 436.62
where x is the elevation (m) and Tcl is in (K)
A-291
A-292
A-293
A-294
A-295
A-296
Subchannels D5 and E5 Axial Temperature Profile
y = -15.612x3 + 96.934x2 - 52.418x + 451.41
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
2.5
3
3.5
4
3.5
4
Elevation (m )
Subchannel C5 Axial Temperature Profile
y = -9.0768x3 + 62.294x2 - 9.6212x + 436.62
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
Elevation (m)
A-297
2.5
3
A-298
Channel
Number
185
186
187
188
189
190
191
192
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
201
202
204
205
208
193
194
195
196
197
198
199
200
H.R.
Location
RodD3_88.3
RodD3_91.3
RodD3_93.1
RodD3_95.3
RodD3_100.1
RodD3_106.1
RodD3_110
RodD3_142.1
RodC4_88.4
RodC4_91.1
RodC4_93.4
RodC4_95.3
RodC4_100.1
RodC4_106.1
RodC4_110
RodC4_142.2
RodD4_88.3
RodD4_91.3
RodD4_93.2
RodD4_95.2
RodD4_100.1
RodD4_106.1
RodD4_110
RodD4_142.1
RodE4_88.4
RodE4_91.2
RodE4_95.3
RodE4_100.9
RodE4_142.3
RodE3_63.4
RodE3_113.6
RodE3_115.5
RodE3_118.5
RodE3_122.7
RodE3_126.5
RodE3_131.7
RodE3_135.6
1.610
2.885
2.934
3.010
3.117
3.213
3.345
3.444
2.245
2.316
2.421
2.563
3.614
2.243
2.319
2.367
2.418
2.543
2.695
2.794
3.609
2.245
2.314
2.372
2.421
2.543
2.695
2.794
3.612
Elevation
(m)
2.243
2.319
2.365
2.421
2.543
2.695
2.794
3.609
0.417
0.022
0.070
0.146
0.253
0.349
-0.046
0.053
-0.003
0.069
0.173
0.315
0.224
-0.005
0.071
0.119
0.170
0.295
0.447
0.546
0.218
-0.003
0.066
0.124
0.173
0.295
0.447
0.546
0.221
Zgrid
(m)
-0.005
0.071
0.117
0.173
0.295
0.447
0.546
0.218
650.1
820.4
837.0
848.4
845.8
841.4
813.2
828.0
714.7
753.8
783.0
801.1
838.8
720.6
759.2
775.0
787.0
802.0
822.9
803.5
843.0
715.6
755.3
774.9
787.8
795.6
818.4
799.9
846.1
H.R.Tw
(K)
712.0
756.8
774.3
789.2
800.5
828.0
810.5
830.2
20609.8
25422.0
24482.3
22997.8
20915.2
19028.5
16444.7
14514.4
24880.0
25361.9
26070.6
27037.3
10355.6
25258.0
25803.8
26139.0
26506.5
27385.5
28465.0
27486.6
10247.7
25350.0
25843.0
26302.3
26613.1
27440.9
28539.1
27614.1
10598.7
H.R. q''
(W/m2)
25061.1
25598.3
25914.8
26331.2
27175.5
28270.2
27903.0
9779.8
553.2
732.2
737.7
746.1
757.0
765.9
776.4
782.9
645.7
656.1
671.1
691.0
791.1
645.3
656.4
663.4
670.7
688.2
708.6
721.1
790.9
645.7
655.7
664.2
671.1
688.2
708.6
721.1
791.0
Tcl
(K)
645.3
656.4
663.1
671.1
688.2
708.6
721.1
790.9
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
569.3
746.9
754.3
763.2
771.8
778.4
782.5
790.4
657.2
672.4
689.7
709.3
799.1
657.9
673.6
682.0
690.1
707.1
727.6
734.9
799.6
657.3
672.3
682.6
690.5
706.1
726.9
734.3
800.2
Tbulk
(K)
656.4
673.2
681.6
690.8
706.9
728.5
736.0
797.5
14229
10398
10284
10150
10024
9929
9872
9763
12026
11714
11377
11020
9647
12012
11690
11524
11370
11058
10707
10588
9640
12023
11715
11512
11362
11077
10719
10598
9632
12042
11698
11532
11357
11063
10693
10569
9668
Re (z)
Table SC-3216-C.1: Summary of Steam Cooling Data
255.17
345.60
296.03
269.77
282.61
302.34
535.50
386.17
432.79
311.54
279.60
294.68
260.38
402.51
301.24
281.06
273.53
288.70
298.80
400.46
236.01
435.11
311.32
284.91
273.51
306.56
311.81
420.83
231.00
h (z)
2
(W/m -K)
451.15
305.97
279.58
267.49
290.27
284.15
374.94
299.10
10.19
14.06
11.77
10.66
11.46
12.74
30.80
19.82
18.77
12.43
10.91
11.53
13.04
16.99
11.89
10.95
10.60
11.22
11.60
16.53
11.37
18.76
12.35
11.11
10.59
12.01
12.17
17.56
10.84
±σhtc
(W/m2-K)
19.76
12.14
10.91
10.35
11.31
10.98
15.18
16.68
3.99%
4.07%
3.98%
3.95%
4.06%
4.21%
5.75%
5.13%
4.34%
3.99%
3.90%
3.91%
5.01%
4.22%
3.95%
3.90%
3.87%
3.89%
3.88%
4.13%
4.82%
4.31%
3.97%
3.90%
3.87%
3.92%
3.90%
4.17%
4.69%
Fractional
Uncertainty
4.38%
3.97%
3.90%
3.87%
3.90%
3.86%
4.05%
5.58%
68.95
63.61
53.72
48.13
49.61
52.42
92.15
65.50
95.72
66.70
57.71
58.43
43.47
88.89
64.32
58.95
56.41
57.49
57.11
75.45
39.37
96.20
66.65
59.69
56.36
61.18
59.68
79.38
38.49
99.94
65.39
58.69
55.09
57.83
54.22
70.48
50.08
Nu(z)
A-299
209
210
211
212
213
214
215
216
177
178
179
180
181
182
183
217
218
219
220
221
222
223
224
RodC3_79.8
RodC3_85.6
RodC3_88.5
RodC3_92.4
RodC3_94.4
RodC3_97.2
RodC3_108.8
RodD5_50
RodD5_54.1
RodD5_56.9
RodD5_60
RodD5_66.1
RodD5_69.9
RodD5_72.9
RodD5_74.9
1.270
1.374
1.445
1.524
1.679
1.775
1.852
1.902
2.027
2.174
2.248
2.347
2.398
2.469
2.764
1.615
2.885
2.931
3.015
3.114
3.216
3.343
3.444
Channel Elevation
Number
(m)
225
1.618
226
2.885
227
2.939
229
3.117
230
3.218
231
3.343
232
3.447
RodE5_63.6
RodE5_113.6
RodE5_115.4
RodE5_118.7
RodE5_122.6
RodE5_126.6
RodE5_131.6
RodE5_135.6
H.R.
Location
RodC5_63.7
RodC5_113.6
RodC5_115.7
RodC5_122.7
RodC5_126.7
RodC5_131.6
RodC5_135.7
0.076
0.180
0.251
0.330
0.485
-0.025
0.051
0.102
0.227
0.374
0.000
0.099
0.150
0.221
0.516
0.422
0.022
0.067
0.151
0.250
0.352
-0.048
0.053
Zgrid
(m)
0.424
0.022
0.075
0.253
0.354
-0.048
0.056
601.5
623.0
629.8
637.1
656.1
632.2
673.1
688.6
688.6
698.8
709.3
756.7
769.6
785.1
820.8
640.3
819.5
834.0
844.0
841.7
839.4
815.0
833.3
H.R.Tw
(K)
646.4
817.2
838.2
847.5
847.6
823.0
841.4
18287.8
19008.5
19503.9
20051.7
21121.9
21781.7
22311.6
22668.0
23433.8
24454.0
24963.0
25675.9
26105.9
26490.4
27935.7
20700.3
25564.9
24688.2
23083.8
21178.8
19230.6
16783.1
14835.5
H.R. q''
(W/m2)
20210.1
24775.3
23795.3
20501.4
18621.1
16306.8
14386.0
509.2
521.9
531.0
541.4
562.8
576.5
587.6
595.0
613.4
635.2
646.1
660.5
667.8
677.9
717.3
553.9
732.2
737.4
746.6
756.7
766.1
776.2
782.9
Tcl
(K)
554.2
732.2
738.3
757.0
766.3
776.2
783.0
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
524.6
538.8
547.5
557.4
578.3
585.8
601.8
610.6
625.9
645.8
656.6
676.5
684.8
695.8
734.6
568.3
746.7
753.5
762.9
770.9
778.3
782.6
791.3
Tbulk
(K)
569.6
746.3
754.9
772.1
779.8
784.0
792.8
15693
15198
14909
14594
13968
13756
13325
13100
12726
12271
12039
11631
11471
11264
10593
14260
10400
10295
10155
10037
9931
9870
9751
14222
10406
10274
10020
9910
9852
9731
Re (z)
237.74
225.69
236.86
251.37
271.56
469.57
313.29
290.80
373.85
461.26
473.89
320.22
307.85
296.58
323.95
287.28
351.05
306.64
284.56
298.96
314.56
519.41
353.30
h (z)
2
(W/m -K)
263.08
349.58
285.91
271.72
274.92
417.67
295.62
Table SC-3216-C.1: Summary of Steam Cooling Data (cont.)
9.55
8.92
9.40
10.03
10.92
21.80
12.83
11.69
15.81
20.53
21.14
12.81
12.19
11.65
12.79
11.69
14.30
12.24
11.33
12.23
13.35
28.95
17.16
±σhtc
(W/m2-K)
10.60
14.38
11.39
11.00
11.39
21.06
13.52
4.02%
3.95%
3.97%
3.99%
4.02%
4.64%
4.10%
4.02%
4.23%
4.45%
4.46%
4.00%
3.96%
3.93%
3.95%
4.07%
4.07%
3.99%
3.98%
4.09%
4.24%
5.57%
4.86%
Fractional
Uncertainty
4.03%
4.11%
3.98%
4.05%
4.14%
5.04%
4.57%
71.56
65.64
67.45
69.90
71.83
122.04
78.44
71.35
88.59
104.58
104.94
67.95
64.20
60.45
61.07
77.82
64.63
55.72
50.80
52.57
54.56
89.36
59.83
71.04
64.41
51.82
47.68
47.54
71.68
49.92
Nu(z)
A-300
Channel
Number
153
154
155
156
157
158
159
160
105
106
107
108
109
110
111
112
57
58
59
60
61
62
63
64
137
138
139
140
141
142
143
144
H.R.
Location
RodB5_41
RodB5_52.9
RodB5_55
RodB5_57.8
RodB5_64
RodB5_73.9
RodB5_75.9
RodB5_76.9
RodF5_41
RodF5_53.1
RodF5_55
RodF5_57.8
RodF5_64
RodF5_73.8
RodF5_75.8
RodF5_76.8
RodC2_41
RodC2_53.1
RodC2_55
RodC2_57.8
RodC2_63.9
RodC2_73.8
RodC2_75.8
RodC2_76.8
RodC6_40.9
RodC6_52.8
RodC6_54.8
RodC6_57.8
RodC6_63.8
RodC6_73.7
RodC6_75.8
RodC6_76.8
1.039
1.341
1.392
1.468
1.621
1.872
1.925
1.951
1.041
1.349
1.397
1.468
1.623
1.875
1.925
1.951
1.041
1.349
1.397
1.468
1.626
1.875
1.925
1.951
Elevation
(m)
1.041
1.344
1.397
1.468
1.626
1.877
1.928
1.953
0.340
0.147
0.198
0.274
0.427
0.072
0.125
0.150
0.343
0.155
0.203
0.274
0.429
0.074
0.125
0.150
0.343
0.155
0.203
0.274
0.432
0.074
0.125
0.150
Zgrid
(m)
0.343
0.150
0.203
0.274
0.432
0.077
0.128
0.153
572.3
613.6
621.2
630.3
650.4
683.7
693.2
698.2
569.0
611.9
616.9
621.7
640.0
668.4
679.7
682.9
568.7
608.3
614.8
622.6
640.1
665.5
675.2
678.1
H.R.Tw
(K)
576.4
615.3
622.1
627.5
645.7
679.7
690.8
695.4
16519.4
18727.0
19097.6
19653.7
20764.6
22601.1
22989.8
23175.9
16599.3
18747.7
19084.0
19581.9
20668.1
22431.3
22789.5
22964.3
16518.6
18668.9
19006.7
19506.4
20608.0
22333.0
22703.7
22880.6
H.R. q''
2
(W/m )
16628.3
18743.9
19118.8
19618.9
20718.4
22475.2
22830.1
23010.6
483.7
513.9
519.4
528.0
546.0
577.4
584.2
587.5
483.9
514.7
520.0
528.0
546.3
577.7
584.2
587.5
483.9
514.7
520.0
528.0
546.6
577.7
584.2
587.5
Tcl
(K)
483.9
514.1
520.0
528.0
546.6
578.0
584.6
587.9
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
498.4
530.5
536.4
545.1
563.4
595.1
602.4
606.0
498.1
530.9
536.2
543.7
561.9
592.8
600.1
603.4
498.0
530.3
535.8
543.8
562.2
592.3
599.4
602.6
Tbulk
(K)
499.3
531.0
537.0
544.6
563.1
595.0
602.3
605.8
16691
15483
15279
14988
14408
13504
13311
13219
16706
15469
15287
15034
14453
13565
13370
13284
16708
15490
15299
15030
14445
13578
13389
13305
16655
15465
15257
15003
14416
13507
13314
13223
Re (z)
223.75
225.38
225.27
230.72
238.56
255.11
253.16
251.34
234.13
231.41
236.33
250.78
264.63
296.68
286.54
288.88
233.83
239.45
240.56
247.49
264.48
305.14
299.40
303.04
h (z)
2
(W/m -K)
215.62
222.31
224.75
236.60
250.82
265.14
257.76
256.73
Table SC-3216-C.1: Summary of Steam Cooling Data (cont.)
9.07
8.93
8.89
9.10
9.40
10.02
9.90
9.81
9.57
9.21
9.41
10.05
10.60
12.00
11.47
11.57
9.57
9.60
9.62
9.90
10.60
12.43
12.11
12.26
±σhtc
(W/m2-K)
8.66
8.79
8.87
9.38
9.95
10.50
10.13
10.07
4.05%
3.96%
3.95%
3.94%
3.94%
3.93%
3.91%
3.90%
4.09%
3.98%
3.98%
4.01%
4.01%
4.04%
4.00%
4.00%
4.09%
4.01%
4.00%
4.00%
4.01%
4.07%
4.04%
4.05%
Fractional
Uncertainty
4.02%
3.95%
3.95%
3.96%
3.97%
3.96%
3.93%
3.92%
71.76
66.88
65.89
66.08
65.38
64.88
63.30
62.33
75.15
68.60
69.17
72.07
72.78
75.85
72.02
72.06
75.07
71.09
70.47
71.11
72.69
78.10
75.38
75.73
69.00
65.88
65.64
67.84
68.79
67.45
64.47
63.70
Nu(z)
A-301
Channel
Number
161
162
163
164
165
166
167
168
98
99
100
101
102
103
104
65
66
67
68
69
70
71
72
129
130
131
132
133
134
135
136
H.R.
Location
RodB4_88.4
RodB4_91.3
RodB4_93.3
RodB4_95.1
RodB4_100
RodB4_106
RodB4_109.9
RodB4_142.3
RodF4_85.6
RodF4_88.4
RodF4_92.4
RodF4_94.3
RodF4_97.2
RodF4_108.8
RodF4_111
RodD2_103.2
RodD2_106
RodD2_112.6
RodD2_114.9
RodD2_117.4
RodD2_120.8
RodD2_124.8
RodD2_128.6
RodD6_103.1
RodD6_106
RodD6_112.9
RodD6_114.9
RodD6_116.8
RodD6_120.9
RodD6_124.8
RodD6_128.7
2.619
2.692
2.868
2.918
2.967
3.071
3.170
3.269
2.621
2.692
2.860
2.918
2.982
3.068
3.170
3.266
2.174
2.245
2.347
2.395
2.469
2.764
2.819
Elevation
(m)
2.245
2.319
2.370
2.416
2.540
2.692
2.791
3.614
0.371
0.445
0.004
0.055
0.103
0.207
0.306
0.405
0.373
0.445
-0.004
0.055
0.118
0.204
0.306
0.403
0.374
-0.003
0.099
0.147
0.221
0.516
-0.044
Zgrid
(m)
-0.003
0.071
0.122
0.168
0.292
0.445
0.544
0.224
796.1
805.6
800.1
823.0
831.7
831.6
830.3
830.9
798.7
807.6
797.0
816.7
825.4
826.1
822.4
819.0
701.7
708.5
753.3
767.2
782.9
813.6
782.1
H.R.Tw
(K)
707.8
749.6
764.8
775.8
784.6
813.1
790.3
838.8
27819.0
28328.1
25855.1
24797.9
23798.2
21633.2
19571.8
17515.2
27817.2
28301.3
25968.7
24757.4
23446.8
21672.1
19584.2
17599.5
24538.5
25027.1
25739.8
26068.6
26581.2
28060.1
26925.9
H.R. q''
(W/m2)
24860.5
25366.8
25793.6
26033.7
26781.3
27869.7
26992.0
10521.9
675.6
685.1
707.3
713.5
719.3
731.7
743.0
753.8
675.9
685.1
706.3
713.5
721.2
731.4
743.0
753.5
616.9
626.3
639.8
646.2
656.0
694.2
701.2
Tcl
(K)
626.3
636.1
642.9
648.9
665.3
685.1
697.7
787.1
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
695.7
705.2
722.7
731.8
738.1
748.3
757.5
766.6
696.4
705.5
721.4
730.7
738.5
747.2
756.2
764.4
631.0
640.0
658.7
666.4
677.1
714.1
714.7
Tbulk
(K)
639.9
655.0
663.2
670.1
685.2
706.5
713.2
795.7
11265
11093
10789
10639
10536
10375
10235
10099
11252
11087
10811
10656
10529
10393
10254
10132
12606
12401
11993
11835
11619
10936
10925
12403
12072
11901
11760
11462
11070
10953
9692
Re (z)
277.16
282.12
334.25
271.65
254.07
259.85
269.01
272.42
272.03
277.36
343.60
287.78
270.09
274.57
295.99
322.72
347.02
365.60
272.21
258.52
251.32
281.95
399.58
h (z)
(W/m2-K)
366.36
268.13
253.76
246.20
269.54
261.36
350.07
244.17
Table SC-3216-C.1: Summary of Steam Cooling Data (cont.)
10.69
10.88
13.45
10.63
9.90
10.32
10.97
11.44
10.47
10.68
13.90
11.37
10.65
11.01
12.34
14.22
14.24
15.11
10.60
9.98
9.64
10.90
16.57
±σhtc
(W/m2-K)
15.19
10.45
9.79
9.46
10.44
10.03
14.13
11.77
3.86%
3.86%
4.02%
3.91%
3.90%
3.97%
4.08%
4.20%
3.85%
3.85%
4.04%
3.95%
3.94%
4.01%
4.17%
4.41%
4.10%
4.13%
3.89%
3.86%
3.84%
3.86%
4.15%
Fractional
Uncertainty
4.15%
3.90%
3.86%
3.84%
3.87%
3.84%
4.03%
4.82%
56.50
56.40
64.51
51.50
47.57
47.69
48.51
48.29
55.38
55.41
66.48
54.67
50.52
50.51
53.51
57.44
81.30
83.96
60.00
56.05
53.26
55.36
78.36
84.15
59.58
55.40
52.96
56.16
52.12
68.87
41.02
Nu(z)
A-302
Channel
Number
73
74
75
76
77
78
79
80
169
170
171
172
173
174
175
176
89
90
91
92
93
94
95
96
121
122
123
124
125
126
127
128
H.R.
Location
RodE2_50.1
RodE2_54
RodE2_56.9
RodE2_59.9
RodE2_66
RodE2_69.8
RodE2_72.9
RodE2_74.9
RodB3_50.2
RodB3_54.1
RodB3_56.9
RodB3_60.1
RodB3_66.1
RodB3_69.9
RodB3_73
RodB3_75
RodF3_50.1
RodF3_54
RodF3_57
RodF3_60
RodF3_66.1
RodF3_70
RodF3_73
RodF3_75
RodE6_50.2
RodE6_54.1
RodE6_57
RodE6_60.2
RodE6_66.1
RodE6_70
RodE6_73.1
RodE6_75
1.275
1.374
1.448
1.529
1.679
1.778
1.857
1.905
1.273
1.372
1.448
1.524
1.679
1.778
1.854
1.905
1.275
1.374
1.445
1.527
1.679
1.775
1.854
1.905
Elevation
(m)
1.273
1.372
1.445
1.521
1.676
1.773
1.852
1.902
0.081
0.180
0.254
0.335
0.485
-0.022
0.056
0.105
0.079
0.178
0.254
0.330
0.485
-0.022
0.054
0.105
0.081
0.180
0.251
0.333
0.485
-0.025
0.054
0.105
Zgrid
(m)
0.079
0.178
0.251
0.328
0.483
-0.027
0.051
0.102
595.4
612.2
620.3
629.5
649.1
626.0
664.3
677.4
598.5
614.9
621.9
630.1
641.4
626.8
664.9
680.5
591.3
603.2
612.3
618.6
641.2
622.1
659.7
673.9
H.R.Tw
(K)
595.3
613.1
622.9
630.9
646.4
623.1
663.9
679.4
18226.0
18917.2
19428.1
19991.0
21027.7
21706.7
22237.7
22591.7
18244.9
18954.1
19500.3
20045.8
21150.7
21858.1
22386.1
22775.3
18240.5
18930.2
19429.3
19995.9
21064.3
21734.1
22289.3
22646.9
H.R. q''
2
(W/m )
18347.6
19051.0
19572.8
20111.1
21205.4
21884.1
22418.3
22802.2
506.8
517.5
525.7
535.1
553.1
565.4
575.4
581.6
506.5
517.2
525.7
534.5
553.1
565.4
575.1
581.6
506.8
517.5
525.4
534.8
553.1
565.1
575.1
581.6
Tcl
(K)
506.5
517.2
525.4
534.2
552.8
564.8
574.8
581.3
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
521.6
533.3
541.5
550.8
569.1
575.5
590.2
597.6
521.9
533.5
541.7
550.5
567.8
575.7
590.1
598.1
520.9
531.8
539.9
548.8
567.8
574.6
589.2
597.0
Tbulk
(K)
521.3
533.2
541.7
550.3
568.4
574.5
589.6
597.6
15802
15387
15107
14801
14236
14048
13635
13437
15791
15379
15098
14813
14274
14044
13639
13424
15827
15438
15159
14867
14276
14074
13663
13453
15810
15389
15100
14817
14257
14077
13651
13436
Re (z)
246.90
239.71
246.55
254.20
262.92
429.77
300.06
282.90
238.11
232.81
243.38
251.52
287.32
427.50
299.19
276.36
259.18
264.89
268.30
286.54
287.10
457.26
316.07
294.43
h (z)
2
(W/m -K)
248.07
238.42
240.93
249.72
271.83
450.04
301.86
278.97
Table SC-3216-C.1: Summary of Steam Cooling Data (cont.)
10.00
9.59
9.86
10.17
10.52
19.34
12.19
11.32
9.57
9.26
9.70
10.03
11.64
19.14
12.12
10.99
10.61
10.80
10.91
11.75
11.64
21.04
12.98
11.87
±σhtc
(W/m2-K)
10.04
9.50
9.57
9.94
10.88
20.51
12.24
11.11
4.05%
4.00%
4.00%
4.00%
4.00%
4.50%
4.06%
4.00%
4.02%
3.98%
3.99%
3.99%
4.05%
4.48%
4.05%
3.98%
4.09%
4.08%
4.07%
4.10%
4.06%
4.60%
4.11%
4.03%
Fractional
Uncertainty
4.05%
3.99%
3.97%
3.98%
4.00%
4.56%
4.06%
3.98%
74.87
70.65
71.23
71.80
71.08
114.43
77.18
71.53
72.15
68.58
70.27
71.11
77.92
113.80
76.99
69.79
78.72
78.36
77.81
81.34
77.87
122.02
81.49
74.55
75.26
70.28
69.58
70.63
73.62
120.12
77.75
70.53
Nu(z)
RBHT Steam Cooling Test SC-3242-A
Matrix test # 6
Test date – 8/5/2005
Steady state time window: 8900 - 9400 sec
Inlet flow: 2.27 m3/min (80.1 ft3/min)
Inlet steam temperature: 412 K (282 °F)
Upper plenum pressure: 271.7 kPa (39.4 psia)
Bundle power: 50.0 kW
Outlet steam temperature: 600 K (621 °F)
Bundle inlet Reynolds number: 8919
Subchannel Centerline Temperatures
The equations below were correlated using the axial subchannel centerline temperature
distribution. Experiment SC-3242 was run with the traversing probes withdrawn.
Centerline steam temperatures used are from experiment SC-3209-A.
Subchannels D5 and E5 (use for inner 3x3 rod bundle thermocouple locations)
Tcl = -15.264x3 + 96.728x2 - 46.606x + 437.45
Subchannel C5 (use for 5x5 peripheral rod bundle thermocouple locations)
Tcl = -10.909x3 + 72.459x2 - 16.805x + 428.65
where x is the elevation (m) and Tcl is in (K)
A-303
A-304
A-305
A-306
Subchannels D5 and E5 Axial Temperature Profile
3
2
y = -15.264x + 96.728x - 46.606x + 437.45
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
Elevation (m)
A-307
2.5
3
3.5
4
Subchannel C5 Axial Temperature Profile
3
2
y = -10.909x + 72.459x - 16.805x + 428.65
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
Elevation (m)
A-308
2.5
3
3.5
4
A-309
241
242
243
244
248
201
202
204
205
208
193
194
195
196
197
198
199
200
RodD4_88.3
RodD4_91.3
RodD4_93.2
RodD4_95.2
RodD4_142.1
RodE4_88.4
RodE4_91.2
RodE4_95.3
RodE4_100.9
RodE4_142.3
RodE3_63.4
RodE3_113.6
RodE3_115.5
RodE3_118.5
RodE3_122.7
RodE3_126.5
RodE3_131.7
RodE3_135.6
1.610
2.885
2.934
3.010
3.117
3.213
3.345
3.444
2.245
2.316
2.421
2.563
3.614
2.243
2.319
2.367
2.418
3.609
2.245
2.314
2.372
2.421
2.543
2.695
2.794
3.612
233
234
235
236
237
238
239
240
Elevation
RodC4_88.4
RodC4_91.1
RodC4_93.4
RodC4_95.3
RodC4_100.1
RodC4_106.1
RodC4_110
RodC4_142.2
Channel
(m)
2.243
2.319
2.365
2.421
2.543
2.695
2.794
3.609
H.R.
Location
Number
RodD3_88.3
185
RodD3_91.3
186
RodD3_93.1
187
RodD3_95.3
188
RodD3_100.1
189
RodD3_106.1
190
RodD3_110
191
RodD3_142.1
192
0.417
0.022
0.070
0.146
0.253
0.349
-0.046
0.053
-0.003
0.069
0.173
0.315
0.224
-0.005
0.071
0.119
0.170
0.218
-0.003
0.066
0.124
0.173
0.295
0.447
0.546
0.221
(m)
-0.005
0.071
0.117
0.173
0.295
0.447
0.546
0.218
Zgrid
639.9
801.1
814.6
826.7
833.6
834.0
812.2
823.8
704.4
736.7
767.8
794.7
832.7
709.3
742.5
757.3
769.3
837.2
704.6
737.3
753.9
767.1
789.9
810.3
791.5
840.2
(K)
699.4
737.3
753.4
768.9
794.4
814.4
797.0
829.5
H.R. Tw
11008.8
13570.3
13064.4
12268.5
11154.2
10149.5
8770.1
7738.1
13290.9
13548.3
13925.0
14438.1
5507.8
13496.2
13783.0
13966.6
14158.6
5450.3
549.5
741.6
747.8
757.3
769.7
780.0
792.6
800.7
647.7
658.8
674.9
696.4
811.9
647.3
659.2
666.7
674.5
811.6
647.7
658.4
667.5
674.9
693.4
715.6
729.4
811.8
(K)
647.3
659.2
666.3
674.9
693.4
715.6
729.4
811.6
(W/m2)
13389.2
13674.0
13845.8
14053.4
14507.4
15077.9
14889.7
5199.7
13543.1
13807.9
14028.7
14213.9
14678.3
15265.4
14771.9
5636.6
Tcl
H.R. q''
1.20
1.20
1.27
1.27
1.27
1.27
1.27
1.27
1.20
1.20
1.20
1.20
1.27
1.20
1.20
1.20
1.20
1.27
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.27
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.27
Correction
564.6
751.5
762.1
772.1
783.4
791.5
796.8
805.7
657.1
671.8
690.4
712.8
816.3
657.6
673.1
681.8
690.3
817.1
657.2
671.6
681.9
690.3
709.5
731.4
739.8
817.9
(K)
656.0
672.2
680.8
690.6
710.2
732.1
740.7
815.4
Tbulk
7049
5069
4991
4919
4841
4786
4751
4694
5903
5755
5578
5380
4627
5898
5742
5658
5579
4622
5902
5757
5657
5579
5408
5225
5159
4617
5915
5751
5668
5576
5402
5220
5152
4632
Re (z)
Table SC-3242-A.1: Summary of Steam Cooling Data
h (z)
146.11
273.59
248.99
224.89
221.90
239.19
569.82
426.61
281.06
208.63
179.80
176.24
337.72
261.32
198.65
185.02
179.17
271.24
285.56
209.90
194.73
184.97
182.40
193.47
285.54
251.94
(W/m2-K)
308.19
210.10
190.78
179.50
172.39
183.20
264.30
371.09
±σhtc
11.00
13.84
14.75
13.22
13.22
14.77
56.97
38.12
16.82
11.44
9.24
8.53
32.51
15.23
10.69
9.66
9.12
22.90
16.93
11.39
10.19
9.43
8.83
8.92
14.21
19.94
(W/m2-K)
18.79
11.45
10.06
9.17
8.34
8.43
12.83
40.00
Fractional
7.53%
5.06%
5.92%
5.88%
5.96%
6.17%
10.00%
8.93%
5.98%
5.48%
5.14%
4.84%
9.63%
5.83%
5.38%
5.22%
5.09%
8.44%
5.93%
5.43%
5.24%
5.10%
4.84%
4.61%
4.98%
7.91%
Uncertainty
6.10%
5.45%
5.27%
5.11%
4.84%
4.60%
4.85%
10.78%
40.16
49.99
44.58
39.51
38.18
40.54
95.66
70.48
62.33
44.82
37.14
34.76
54.74
57.89
42.56
38.92
37.01
43.90
63.33
45.12
40.95
38.22
36.22
36.77
53.38
40.73
68.52
45.10
40.21
37.06
34.18
34.77
49.32
60.24
Nu(z)
A-310
177
178
179
180
181
182
183
217
218
219
220
221
222
223
224
RodC3_79.8
RodC3_85.6
RodC3_88.5
RodC3_92.4
RodC3_94.4
RodC3_97.2
RodC3_108.8
RodD5_50
RodD5_54.1
RodD5_56.9
RodD5_60
RodD5_66.1
RodD5_69.9
RodD5_72.9
RodD5_74.9
1.270
1.374
1.445
1.524
1.679
1.775
1.852
1.902
2.027
2.174
2.248
2.347
2.398
2.469
2.764
1.615
2.885
2.931
3.015
3.114
3.216
3.343
3.444
209
210
211
212
213
214
215
216
RodE5_63.6
RodE5_113.6
RodE5_115.4
RodE5_118.7
RodE5_122.6
RodE5_126.6
RodE5_131.6
RodE5_135.6
Elevation
(m)
1.618
2.885
2.939
3.117
3.218
3.343
3.447
Channel
Location
Number
RodC5_63.7
225
RodC5_113.6
226
RodC5_115.7
227
RodC5_122.7
229
RodC5_126.7
230
RodC5_131.6
231
RodC5_135.7
232
H.R.
0.076
0.180
0.251
0.330
0.485
-0.025
0.051
0.102
0.227
0.374
0.000
0.099
0.150
0.221
0.516
0.422
0.022
0.067
0.151
0.250
0.352
-0.048
0.053
(m)
0.424
0.022
0.075
0.253
0.354
-0.048
0.056
Zgrid
590.1
614.3
626.7
636.0
650.4
629.7
665.2
683.1
702.0
692.4
696.2
739.6
752.8
769.0
801.5
638.8
799.5
808.5
815.9
824.2
828.7
809.0
823.0
(K)
643.8
802.8
820.4
839.6
840.0
821.3
833.9
H.R. Tw
9775.1
10161.9
10423.7
10713.1
11286.0
11641.1
11923.7
12110.7
12523.4
13067.2
13339.8
13708.2
13893.5
14156.4
14927.1
11049.0
13639.9
13172.5
12308.9
11288.7
10245.7
8940.5
7898.5
(W/m )
10795.8
13236.8
12705.3
10942.0
9932.5
8697.2
7666.5
2
H.R. q''
503.0
516.4
526.1
537.1
559.6
574.2
585.9
593.8
613.3
636.5
648.1
663.5
671.4
682.3
725.2
550.2
741.6
747.5
757.9
769.4
780.2
792.3
800.7
(K)
550.6
741.6
748.5
769.7
780.5
792.3
800.9
Tcl
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.27
1.27
1.27
1.27
1.27
Factor
1.20
1.20
1.27
1.27
1.27
1.27
1.27
Correction
517.5
532.8
542.8
553.5
574.8
583.4
599.1
608.7
628.1
645.8
656.1
676.2
685.0
696.7
737.9
565.0
751.3
757.7
770.3
781.1
790.6
795.9
805.5
(K)
566.1
751.8
763.9
784.6
793.2
798.6
808.0
Tbulk
7818
7552
7385
7216
6902
6781
6573
6452
6220
6022
5913
5712
5628
5520
5173
7043
5071
5023
4932
4856
4792
4757
4695
7026
5067
4978
4832
4774
4740
4679
Re (z)
Table SC-3242-A.1: Summary of Steam Cooling Data (cont.)
134.68
124.61
124.23
129.89
149.22
251.79
180.45
162.70
169.40
280.63
332.41
216.18
204.68
195.80
234.79
149.65
282.77
259.01
270.08
261.88
269.05
682.08
451.59
(W/m -K)
138.95
259.54
224.60
199.20
212.48
381.59
296.04
2
h (z)
12.33
10.67
10.19
10.20
10.81
18.28
12.10
10.52
10.35
17.28
20.75
11.73
10.78
9.95
11.15
11.23
14.41
12.97
16.41
16.10
17.07
76.81
41.26
(W/m -K)
10.57
13.11
13.20
11.73
12.87
29.87
21.70
2
±σhtc
9.15%
8.56%
8.21%
7.85%
7.25%
7.26%
6.70%
6.47%
6.11%
6.16%
6.24%
5.43%
5.27%
5.08%
4.75%
7.50%
5.09%
5.01%
6.08%
6.15%
6.34%
11.26%
9.14%
Uncertainty
7.61%
5.05%
5.88%
5.89%
6.06%
7.83%
7.33%
Fractional
41.64
37.07
36.03
36.69
40.01
66.12
45.65
40.25
40.08
63.81
73.89
46.01
42.76
39.91
44.05
41.09
51.69
46.77
47.61
45.24
45.68
114.68
74.63
38.05
47.39
40.08
34.19
35.90
63.85
48.70
Nu(z)
A-311
Channel
Number
153
154
155
156
157
158
159
160
105
106
107
108
109
110
111
112
57
58
59
60
61
62
63
64
137
138
139
140
141
142
143
144
H.R.
Location
RodB5_41
RodB5_52.9
RodB5_55
RodB5_57.8
RodB5_64
RodB5_73.9
RodB5_75.9
RodB5_76.9
RodF5_41
RodF5_53.1
RodF5_55
RodF5_57.8
RodF5_64
RodF5_73.8
RodF5_75.8
RodF5_76.8
RodC2_41
RodC2_53.1
RodC2_55
RodC2_57.8
RodC2_63.9
RodC2_73.8
RodC2_75.8
RodC2_76.8
RodC6_40.9
RodC6_52.8
RodC6_54.8
RodC6_57.8
RodC6_63.8
RodC6_73.7
RodC6_75.8
RodC6_76.8
1.039
1.341
1.392
1.468
1.621
1.872
1.925
1.951
1.041
1.349
1.397
1.468
1.623
1.875
1.925
1.951
1.041
1.349
1.397
1.468
1.626
1.875
1.925
1.951
(m)
1.041
1.344
1.397
1.468
1.626
1.877
1.928
1.953
Elevation
0.340
0.147
0.198
0.274
0.427
0.072
0.125
0.150
0.343
0.155
0.203
0.274
0.429
0.074
0.125
0.150
0.343
0.155
0.203
0.274
0.432
0.074
0.125
0.150
(m)
0.343
0.150
0.203
0.274
0.432
0.077
0.128
0.153
Zgrid
563.8
604.8
613.8
626.2
642.4
670.7
679.8
687.1
559.6
602.6
609.2
619.9
630.2
657.0
668.6
674.0
561.8
600.4
609.0
619.3
633.8
659.5
674.8
681.0
(K)
564.2
605.3
614.5
626.3
642.3
671.1
685.0
691.1
H.R. Tw
8825.9
10002.8
10201.3
10499.4
11094.1
12072.4
12279.4
12375.4
8865.4
10017.7
10198.1
10463.7
11041.0
11982.6
12169.7
12267.5
477.2
510.1
516.2
525.6
545.3
579.5
587.0
590.6
477.4
511.0
516.8
525.6
545.6
579.9
587.0
590.6
477.4
511.0
516.8
525.6
545.9
579.9
587.0
590.6
(K)
477.4
510.4
516.8
525.6
545.9
580.3
587.4
591.0
(W/m2)
8888.5
10016.6
10215.9
10481.8
11069.9
12008.6
12199.6
12293.2
8829.4
9975.7
10157.0
10423.3
11012.5
11940.3
12130.4
12226.4
Tcl
H.R. q''
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
491.6
525.9
532.5
542.4
561.5
594.7
602.5
606.7
491.1
526.3
532.2
541.3
559.7
592.8
600.6
604.5
491.5
525.9
532.2
541.2
560.6
593.2
601.7
605.7
(K)
491.9
526.2
533.1
542.4
562.0
595.4
603.7
607.7
Tbulk
8314
7669
7556
7392
7095
6629
6529
6476
8324
7663
7561
7409
7121
6655
6553
6504
8317
7669
7561
7411
7108
6650
6540
6489
8308
7663
7546
7392
7087
6621
6514
6464
Re (z)
Table SC-3242-A.1: Summary of Steam Cooling Data (cont.)
h (z)
122.26
126.72
125.42
125.25
137.13
158.98
158.87
153.96
129.45
131.35
132.56
133.22
156.56
186.47
178.95
176.47
125.61
133.96
132.21
133.55
150.41
179.92
165.81
162.26
(W/m2-K)
122.83
126.67
125.56
124.97
137.91
158.56
149.93
147.34
±σhtc
13.05
11.11
10.65
10.15
10.19
10.38
10.09
9.62
13.77
11.49
11.27
10.85
11.76
12.41
11.56
11.23
13.40
11.77
11.28
10.92
11.29
11.96
10.66
10.27
(W/m2-K)
13.02
11.09
10.63
10.14
10.26
10.38
9.51
9.22
Fractional
10.67%
8.77%
8.49%
8.10%
7.43%
6.53%
6.35%
6.25%
10.64%
8.75%
8.50%
8.15%
7.51%
6.66%
6.46%
6.36%
10.67%
8.79%
8.53%
8.17%
7.50%
6.65%
6.43%
6.33%
Uncertainty
10.60%
8.75%
8.47%
8.11%
7.44%
6.54%
6.35%
6.26%
40.39
38.35
37.34
36.37
37.98
40.64
39.87
38.27
42.82
39.72
39.49
38.79
43.55
47.89
45.11
44.08
41.51
40.54
39.39
38.89
41.75
46.16
41.70
40.42
40.55
38.31
37.32
36.29
38.15
40.47
37.53
36.54
Nu(z)
A-312
65
66
67
68
69
70
71
72
129
130
131
132
133
134
135
136
RodD2_103.2
RodD2_106
RodD2_112.6
RodD2_114.9
RodD2_117.4
RodD2_120.8
RodD2_124.8
RodD2_128.6
RodD6_103.1
RodD6_106
RodD6_112.9
RodD6_114.9
RodD6_116.8
RodD6_120.9
RodD6_124.8
RodD6_128.7
2.619
2.692
2.868
2.918
2.967
3.071
3.170
3.269
2.621
2.692
2.860
2.918
2.982
3.068
3.170
3.266
2.174
2.245
2.347
2.395
2.469
2.764
2.819
98
99
100
101
102
103
104
Elevation
RodF4_85.6
RodF4_88.4
RodF4_92.4
RodF4_94.3
RodF4_97.2
RodF4_108.8
RodF4_111
Channel
(m)
2.245
2.319
2.370
2.416
2.540
2.692
2.791
3.614
H.R.
Location
Number
RodB4_88.4
161
RodB4_91.3
162
RodB4_93.3
163
RodB4_95.1
164
RodB4_100
165
RodB4_106
166
RodB4_109.9
167
RodB4_142.3
168
0.371
0.445
0.004
0.055
0.103
0.207
0.306
0.405
0.373
0.445
-0.004
0.055
0.118
0.204
0.306
0.403
0.374
-0.003
0.099
0.147
0.221
0.516
-0.044
(m)
-0.003
0.071
0.122
0.168
0.292
0.445
0.544
0.224
Zgrid
788.7
795.1
783.4
800.2
811.4
821.5
825.4
825.5
779.6
786.0
772.3
792.1
803.3
817.3
820.8
818.9
695.5
698.9
739.3
752.6
767.7
802.4
778.3
(K)
700.2
735.3
750.7
761.9
786.1
801.0
781.2
835.5
H.R. Tw
14858.7
15130.5
13805.2
13235.5
12699.3
11539.6
10436.9
9335.8
14835.0
15101.1
13853.8
13208.5
12511.1
11562.7
10441.6
9384.9
685.6
695.7
719.1
725.6
731.7
744.4
756.0
766.9
686.0
695.7
718.1
725.6
733.6
744.1
756.0
766.7
622.5
632.7
647.3
654.2
664.7
705.3
712.8
(K)
632.7
643.3
650.6
657.1
674.7
695.7
709.1
799.4
(W/m2)
13283.7
13547.3
13731.8
13897.7
14351.8
14898.7
14427.6
5598.2
13107.9
13372.9
13747.5
13924.1
14195.5
14996.3
14381.1
Tcl
H.R. q''
1.20
1.20
1.20
1.20
1.20
1.20
1.27
1.27
1.20
1.20
1.20
1.20
1.20
1.20
1.27
1.27
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.27
Correction
702.8
712.3
729.8
738.0
745.0
757.3
770.9
779.5
701.6
710.8
727.1
736.7
745.2
756.3
769.9
777.9
634.7
643.8
662.6
670.6
681.8
721.5
723.7
(K)
644.0
658.6
667.3
674.6
693.2
713.3
721.1
807.1
Tbulk
5466
5384
5238
5173
5119
5026
4928
4867
5477
5397
5260
5183
5117
5033
4935
4879
6145
6045
5846
5767
5658
5306
5288
6042
5887
5800
5728
5552
5375
5309
4685
Re (z)
Table SC-3242-A.1: Summary of Steam Cooling Data (cont.)
h (z)
173.05
182.71
257.71
212.84
191.16
179.71
191.32
202.98
190.19
200.82
306.56
238.49
215.49
189.57
204.87
228.50
215.55
242.60
179.26
169.74
165.27
185.33
263.17
(W/m2-K)
236.32
176.71
164.64
159.15
154.62
169.93
239.87
196.82
±σhtc
8.12
8.40
12.74
10.15
8.99
8.51
11.26
12.34
9.03
9.37
15.97
11.69
10.44
9.08
12.20
14.27
12.60
14.01
9.47
8.73
8.21
8.43
12.93
(W/m2-K)
13.65
9.47
8.57
8.09
7.44
7.80
11.57
13.91
Fractional
4.69%
4.60%
4.94%
4.77%
4.70%
4.74%
5.89%
6.08%
4.75%
4.66%
5.21%
4.90%
4.85%
4.79%
5.96%
6.24%
5.85%
5.78%
5.28%
5.14%
4.97%
4.55%
4.91%
Uncertainty
5.77%
5.36%
5.20%
5.08%
4.82%
4.59%
4.82%
7.07%
34.84
36.07
49.13
39.92
35.37
32.47
33.69
35.17
38.38
39.77
58.75
44.85
39.85
34.32
36.15
39.72
50.24
55.41
39.28
36.56
34.76
35.92
50.78
53.95
39.06
35.72
33.99
31.75
33.48
46.53
32.43
Nu(z)
A-313
Channel
Number
73
74
75
76
77
78
79
80
169
170
171
172
173
174
175
176
89
90
91
92
93
94
95
96
121
122
123
124
125
126
127
128
H.R.
Location
RodE2_50.1
RodE2_54
RodE2_56.9
RodE2_59.9
RodE2_66
RodE2_69.8
RodE2_72.9
RodE2_74.9
RodB3_50.2
RodB3_54.1
RodB3_56.9
RodB3_60.1
RodB3_66.1
RodB3_69.9
RodB3_73
RodB3_75
RodF3_50.1
RodF3_54
RodF3_57
RodF3_60
RodF3_66.1
RodF3_70
RodF3_73
RodF3_75
RodE6_50.2
RodE6_54.1
RodE6_57
RodE6_60.2
RodE6_66.1
RodE6_70
RodE6_73.1
RodE6_75
1.275
1.374
1.448
1.529
1.679
1.778
1.857
1.905
1.273
1.372
1.448
1.524
1.679
1.778
1.854
1.905
1.275
1.374
1.445
1.527
1.679
1.775
1.854
1.905
(m)
1.273
1.372
1.445
1.521
1.676
1.773
1.852
1.902
Elevation
0.081
0.180
0.254
0.335
0.485
-0.022
0.056
0.105
0.079
0.178
0.254
0.330
0.485
-0.022
0.054
0.105
0.081
0.180
0.251
0.333
0.485
-0.025
0.054
0.105
(m)
0.079
0.178
0.251
0.328
0.483
-0.027
0.051
0.102
Zgrid
583.8
604.6
616.2
625.3
639.6
621.2
654.4
669.3
586.2
606.2
617.4
625.6
632.4
620.8
654.4
672.1
581.3
599.0
610.8
619.0
633.3
616.8
652.8
668.5
(K)
583.0
605.4
618.5
627.9
638.8
618.6
650.9
662.7
H.R. Tw
9740.9
10106.9
10378.8
10678.8
11232.8
11598.1
11888.1
12066.8
9750.8
10130.2
10420.5
10711.0
11301.7
11678.1
11968.5
12162.9
502.4
514.1
523.1
533.4
553.1
566.5
577.4
584.2
502.1
513.8
523.1
532.7
553.1
566.5
577.1
584.2
502.4
514.1
522.8
533.0
553.1
566.2
577.1
584.2
(K)
502.1
513.8
522.8
532.4
552.7
565.8
576.7
583.8
(W/m2)
9803.7
10177.2
10454.8
10742.0
11327.4
11691.0
11988.7
12181.1
9742.1
10113.1
10379.6
10682.0
11252.6
11613.6
11910.0
12099.4
Tcl
H.R. q''
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
516.0
529.2
538.6
548.7
567.5
575.6
590.2
598.4
516.1
529.2
538.8
548.2
566.3
575.6
590.0
598.8
515.6
528.2
537.5
547.4
566.4
574.6
589.7
598.2
(K)
515.6
529.0
538.7
548.3
567.1
574.6
589.1
597.0
Tbulk
7846
7613
7454
7291
7006
6889
6689
6582
7843
7613
7451
7299
7024
6890
6693
6576
7854
7629
7473
7312
7022
6904
6696
6584
7853
7615
7452
7297
7012
6904
6704
6600
Re (z)
Table SC-3242-A.1: Summary of Steam Cooling Data (cont.)
h (z)
143.69
133.92
133.83
139.39
155.84
254.54
185.41
170.17
139.10
131.54
132.65
138.40
170.91
258.05
185.75
166.08
148.28
142.82
141.43
149.17
168.30
275.04
188.71
172.09
(W/m2-K)
145.47
133.23
131.06
134.96
157.96
265.88
193.95
185.31
±σhtc
13.21
11.55
11.05
10.99
11.36
18.56
12.47
11.07
12.77
11.33
10.91
10.90
12.48
18.76
12.44
10.72
13.65
12.35
11.71
11.81
12.31
20.32
12.71
11.18
(W/m2-K)
13.32
11.43
10.75
10.60
11.45
19.43
13.04
12.08
Fractional
9.20%
8.63%
8.25%
7.88%
7.29%
7.29%
6.73%
6.51%
9.18%
8.61%
8.22%
7.87%
7.30%
7.27%
6.70%
6.45%
9.21%
8.65%
8.28%
7.92%
7.32%
7.39%
6.73%
6.50%
Uncertainty
9.16%
8.58%
8.20%
7.85%
7.25%
7.31%
6.73%
6.52%
44.60
40.20
39.23
39.85
42.53
68.11
47.90
43.13
43.16
39.49
38.87
39.61
46.78
69.06
48.02
42.04
46.08
42.97
41.58
42.78
46.05
73.78
48.82
43.63
45.20
40.01
38.41
38.62
43.16
71.32
50.25
47.12
Nu(z)
RBHT Steam Cooling Test SC-3242-B
Matrix test # 7
Test date – 8/5/2005
Steady state time window: 14700 - 15000 sec
Inlet flow: 3.55 m3/min (125.2 ft3/min)
Inlet steam temperature: 417 K (291 °F)
Upper plenum pressure: 271.7 kPa (39.4 psia)
Bundle power: 70.0 kW
Outlet steam temperature: 610 K (639 °F)
Bundle inlet Reynolds number: 13553
Subchannel Centerline Temperatures
The equations below were correlated using the axial subchannel centerline temperature
distribution. Experiment SC-3242 was run with the traversing probes withdrawn.
Centerline steam temperatures used are from experiment SC-3214-A.
Subchannels D5 and E5 (use for inner 3x3 rod bundle thermocouple locations)
Tcl = -13.233x3 + 84.376x2 - 38.8x + 441.58
Subchannel C5 (use for 5x5 peripheral rod bundle thermocouple locations)
Tcl = -9.9912x3 + 67.516x2 - 20.267x + 434.51
where x is the elevation (m) and Tcl is in (K)
A-314
A-315
A-316
A-317
Subchannels D5 and E5 Axial Temperature Profile
y = -13.233x3 + 84.376x2 - 38.8x + 441.58
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
Elevation (m )
A-318
2.5
3
3.5
4
Subchannel C5 Axial Temperature Profile
y = -9.9912x3 + 67.516x2 - 20.267x + 434.51
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
Elevation (m )
A-319
2.5
3
3.5
4
A-320
233
234
235
236
237
238
239
240
241
242
243
244
248
201
202
204
205
208
193
194
195
196
197
198
199
200
RodC4_88.4
RodC4_91.1
RodC4_93.4
RodC4_95.3
RodC4_100.1
RodC4_106.1
RodC4_110
RodC4_142.2
RodD4_88.3
RodD4_91.3
RodD4_93.2
RodD4_95.2
RodD4_142.1
RodE4_88.4
RodE4_91.2
RodE4_95.3
RodE4_100.9
RodE4_142.3
RodE3_63.4
RodE3_113.6
RodE3_115.5
RodE3_118.5
RodE3_122.7
RodE3_126.5
RodE3_131.7
RodE3_135.6
1.610
2.885
2.934
3.010
3.117
3.213
3.345
3.444
2.245
2.316
2.421
2.563
3.614
2.243
2.319
2.367
2.418
3.609
2.245
2.314
2.372
2.421
2.543
2.695
2.794
3.612
(m)
2.243
2.319
2.365
2.421
2.543
2.695
2.794
3.609
Channel Elevation
Number
185
186
187
188
189
190
191
192
H.R.
Location
RodD3_88.3
RodD3_91.3
RodD3_93.1
RodD3_95.3
RodD3_100.1
RodD3_106.1
RodD3_110
RodD3_142.1
0.417
0.022
0.070
0.146
0.253
0.349
-0.046
0.053
-0.003
0.069
0.173
0.315
0.224
-0.005
0.071
0.119
0.170
0.218
-0.003
0.066
0.124
0.173
0.295
0.447
0.546
0.221
(m)
-0.005
0.071
0.117
0.173
0.295
0.447
0.546
0.218
Zgrid
632.6
787.2
802.1
813.8
815.2
813.3
788.9
803.1
695.1
730.3
758.1
778.8
809.4
699.5
733.4
747.8
758.7
812.5
694.1
730.5
748.0
761.2
780.1
794.4
773.4
815.7
(K)
689.7
729.6
746.3
761.8
783.8
800.0
781.4
806.4
H.R.Tw
15413.2
18998.6
18294.3
17180.2
15621.7
14210.7
12281.2
10833.1
18608.8
18969.5
19494.8
20214.7
7714.9
18895.1
19297.3
19552.2
19820.5
7636.7
542.6
714.2
719.8
728.3
739.6
749.0
760.6
768.2
630.0
640.0
654.4
673.6
778.8
629.7
640.3
647.0
654.0
778.5
630.0
639.6
647.7
654.4
670.9
690.8
703.2
778.6
(K)
629.7
640.3
646.7
654.4
670.9
690.8
703.2
778.5
(W/m2)
18745.6
19144.1
19384.2
19675.5
20313.6
21110.0
20848.2
7285.8
18964.1
19330.7
19642.5
19900.3
20553.3
21366.1
20675.3
7899.8
Tcl
H.R. q''
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
557.6
726.4
733.5
742.6
752.2
759.7
765.3
774.0
640.9
655.0
671.6
691.1
783.9
641.3
655.8
663.8
671.5
784.2
640.7
654.8
664.4
672.2
689.1
708.1
714.9
784.8
(K)
639.7
655.2
663.3
672.3
689.7
709.0
716.2
783.2
Tbulk
11023
8115
8026
7917
7804
7717
7655
7560
9363
9130
8871
8586
7455
9356
9117
8991
8874
7452
9366
9134
8982
8863
8615
8353
8262
7445
9384
9127
9000
8861
8606
8340
8245
7462
Re (z)
Table SC-3242-B.1: Summary of Steam Cooling Data
h (z)
205.70
312.47
266.84
241.38
247.99
265.26
521.65
371.84
343.32
252.15
225.56
230.49
301.84
324.90
248.68
232.89
227.25
269.41
355.33
255.20
235.07
223.49
225.80
247.54
353.34
255.49
(W/m2-K)
375.08
257.25
233.44
219.72
215.83
231.93
319.92
313.02
±σhtc
12.34
13.87
11.50
10.32
10.88
12.17
36.39
22.52
17.45
11.78
10.05
9.89
19.96
16.17
11.49
10.51
10.06
16.70
18.03
11.84
10.59
9.86
9.63
10.29
15.81
14.98
(W/m2-K)
19.45
12.00
10.58
9.72
9.20
9.60
13.90
22.18
Fractional
6.00%
4.44%
4.31%
4.27%
4.39%
4.59%
6.98%
6.06%
5.08%
4.67%
4.45%
4.29%
6.61%
4.98%
4.62%
4.51%
4.43%
6.20%
5.07%
4.64%
4.50%
4.41%
4.27%
4.16%
4.47%
5.86%
Uncertainty
5.19%
4.66%
4.53%
4.42%
4.26%
4.14%
4.35%
7.09%
57.51
59.97
50.49
44.87
45.25
47.71
92.83
65.10
78.92
56.18
48.48
47.54
51.88
74.61
55.31
50.90
48.86
46.28
81.71
56.89
51.31
47.98
46.77
49.30
69.39
43.84
86.45
57.29
51.08
47.16
44.65
46.10
62.66
53.88
Nu(z)
A-321
Number
225
226
227
229
230
231
232
209
210
211
212
213
214
215
216
177
178
179
180
181
182
183
217
218
219
220
221
222
223
224
RodE5_63.6
RodE5_113.6
RodE5_115.4
RodE5_118.7
RodE5_122.6
RodE5_126.6
RodE5_131.6
RodE5_135.6
RodC3_79.8
RodC3_85.6
RodC3_88.5
RodC3_92.4
RodC3_94.4
RodC3_97.2
RodC3_108.8
RodD5_50
RodD5_54.1
RodD5_56.9
RodD5_60
RodD5_66.1
RodD5_69.9
RodD5_72.9
RodD5_74.9
1.270
1.374
1.445
1.524
1.679
1.775
1.852
1.902
2.027
2.174
2.248
2.347
2.398
2.469
2.764
1.615
2.885
2.931
3.015
3.114
3.216
3.343
3.444
(m)
1.618
2.885
2.939
3.117
3.218
3.343
3.447
Channel Elevation
Location
RodC5_63.7
RodC5_113.6
RodC5_115.7
RodC5_122.7
RodC5_126.7
RodC5_131.6
RodC5_135.7
H.R.
0.076
0.180
0.251
0.330
0.485
-0.025
0.051
0.102
0.227
0.374
0.000
0.099
0.150
0.221
0.516
0.422
0.022
0.067
0.151
0.250
0.352
-0.048
0.053
(m)
0.424
0.022
0.075
0.253
0.354
-0.048
0.056
Zgrid
587.0
609.1
617.9
624.1
641.4
621.3
658.6
675.8
690.3
679.3
686.6
731.1
743.8
760.3
787.6
629.1
787.1
796.4
802.9
807.7
807.6
783.9
801.9
(K)
632.7
788.5
808.1
820.2
820.3
797.7
813.2
H.R.Tw
13685.2
14223.4
14593.0
15000.7
15801.6
16301.7
16696.4
16959.1
17529.3
18291.0
18672.2
19183.8
19447.0
19814.7
20891.9
15485.3
19114.7
18457.2
17252.0
15825.5
14364.9
12536.1
11074.9
(W/m )
15117.8
18531.3
17790.6
15324.1
13913.7
12184.8
10739.7
2
H.R. q''
501.3
513.3
521.8
531.6
551.7
564.6
575.0
582.0
599.4
620.1
630.4
644.2
651.2
660.9
699.4
543.3
714.2
719.5
728.9
739.4
749.3
760.4
768.2
(K)
543.6
714.2
720.4
739.6
749.5
760.4
768.4
Tcl
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
515.6
529.2
537.8
547.0
566.6
574.1
589.0
597.7
614.5
629.9
639.8
658.7
666.7
677.5
714.1
557.6
726.3
732.3
741.2
750.8
759.0
764.3
773.8
(K)
558.5
726.6
735.0
753.0
761.3
766.6
775.8
Tbulk
12102
11730
11507
11278
10817
10651
10334
10158
9832
9552
9382
9072
8947
8783
8272
11024
8116
8041
7933
7820
7726
7666
7562
11003
8113
8008
7794
7700
7640
7540
Re (z)
Table SC-3242-B.1: Summary of Steam Cooling Data (cont.)
191.54
178.13
182.13
194.50
211.36
344.90
239.62
216.99
231.47
370.88
398.39
265.00
252.02
239.22
284.54
216.59
314.89
288.13
279.73
277.72
295.29
640.01
393.59
(W/m -K)
203.69
299.42
243.48
228.21
235.86
391.55
287.27
2
h (z)
13.55
11.86
11.71
12.08
12.29
20.74
13.14
11.51
11.81
19.67
21.06
12.34
11.46
10.57
12.10
13.00
13.96
12.60
12.34
12.50
13.97
51.12
24.31
(W/m -K)
12.35
13.29
10.40
9.90
10.55
22.85
15.18
2
±σhtc
7.07%
6.66%
6.43%
6.21%
5.82%
6.01%
5.48%
5.31%
5.10%
5.30%
5.29%
4.66%
4.55%
4.42%
4.25%
6.00%
4.43%
4.37%
4.41%
4.50%
4.73%
7.99%
6.18%
Uncertainty
6.06%
4.44%
4.27%
4.34%
4.47%
5.84%
5.28%
Fractional
59.52
53.47
53.50
55.83
57.81
92.64
62.10
55.08
56.49
87.38
91.81
58.57
54.75
50.77
55.97
60.56
60.44
54.65
52.14
50.82
53.18
114.11
68.93
56.83
57.44
45.94
41.57
42.29
69.51
50.12
Nu(z)
A-322
105
106
107
108
109
110
111
112
57
58
59
60
61
62
63
64
137
138
139
140
141
142
143
144
RodF5_41
RodF5_53.1
RodF5_55
RodF5_57.8
RodF5_64
RodF5_73.8
RodF5_75.8
RodF5_76.8
RodC2_41
RodC2_53.1
RodC2_55
RodC2_57.8
RodC2_63.9
RodC2_73.8
RodC2_75.8
RodC2_76.8
RodC6_40.9
RodC6_52.8
RodC6_54.8
RodC6_57.8
RodC6_63.8
RodC6_73.7
RodC6_75.8
RodC6_76.8
1.039
1.341
1.392
1.468
1.621
1.872
1.925
1.951
1.041
1.349
1.397
1.468
1.623
1.875
1.925
1.951
1.041
1.349
1.397
1.468
1.626
1.875
1.925
1.951
(m)
1.041
1.344
1.397
1.468
1.626
1.877
1.928
1.953
Channel Elevation
Number
153
154
155
156
157
158
159
160
H.R.
Location
RodB5_41
RodB5_52.9
RodB5_55
RodB5_57.8
RodB5_64
RodB5_73.9
RodB5_75.9
RodB5_76.9
0.340
0.147
0.198
0.274
0.427
0.072
0.125
0.150
0.343
0.155
0.203
0.274
0.429
0.074
0.125
0.150
0.343
0.155
0.203
0.274
0.432
0.074
0.125
0.150
(m)
0.343
0.150
0.203
0.274
0.432
0.077
0.128
0.153
Zgrid
558.0
597.9
605.2
614.9
632.4
664.7
672.9
680.0
555.0
595.0
600.1
606.6
620.6
652.0
662.8
667.5
557.3
594.6
601.4
609.0
625.2
654.1
667.5
671.9
(K)
561.4
600.4
607.6
614.7
631.5
664.8
677.2
682.6
H.R.Tw
12360.3
14010.0
14286.4
14702.0
15533.5
16903.6
17195.9
17334.8
12419.3
14027.0
14279.5
14651.8
15461.9
16776.3
17041.3
17175.8
475.1
504.7
510.2
518.7
536.5
567.6
574.5
577.7
475.3
505.5
510.7
518.7
536.8
568.0
574.5
577.7
475.3
505.5
510.7
518.7
537.1
568.0
574.5
577.7
(K)
475.3
504.9
510.7
518.7
537.1
568.3
574.8
578.1
(W/m2)
12442.1
14023.3
14302.0
14673.8
15497.5
16812.7
17078.8
17209.0
12362.0
13969.6
14222.5
14594.4
15418.3
16720.4
16985.8
17118.3
Tcl
H.R. q''
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
488.9
520.2
526.0
534.7
552.4
583.8
590.9
594.8
488.6
520.4
525.6
533.3
550.7
582.0
589.2
592.7
489.0
520.3
525.8
533.7
551.8
582.3
590.0
593.4
(K)
489.7
520.8
526.9
534.7
552.8
584.4
591.9
595.5
Tbulk
12897
11973
11816
11587
11146
10442
10295
10216
12907
11968
11827
11623
11187
10480
10330
10258
12894
11970
11821
11612
11163
10473
10313
10243
12873
11956
11793
11588
11137
10430
10275
10201
Re (z)
Table SC-3242-B.1: Summary of Steam Cooling Data (cont.)
h (z)
178.96
180.25
180.39
183.38
194.36
209.06
209.57
203.48
187.18
187.97
191.77
199.97
221.34
239.40
231.50
229.59
181.03
188.03
188.29
193.78
209.92
232.78
218.96
218.05
(W/m2-K)
173.58
176.33
177.19
183.29
196.84
208.97
200.14
197.52
±σhtc
14.49
12.25
11.93
11.66
11.51
11.14
10.93
10.47
15.13
12.77
12.73
12.84
13.30
13.02
12.28
12.04
14.66
12.82
12.51
12.44
12.56
12.64
11.56
11.39
(W/m2-K)
13.94
11.95
11.68
11.67
11.67
11.16
10.43
10.17
Fractional
8.10%
6.80%
6.61%
6.36%
5.92%
5.33%
5.21%
5.15%
8.08%
6.80%
6.64%
6.42%
6.01%
5.44%
5.30%
5.24%
8.10%
6.82%
6.65%
6.42%
5.99%
5.43%
5.28%
5.22%
Uncertainty
8.03%
6.78%
6.59%
6.37%
5.93%
5.34%
5.21%
5.15%
59.53
55.35
54.59
54.29
55.05
54.85
54.06
52.01
62.31
57.69
58.09
59.40
62.95
63.09
59.96
58.97
60.20
57.72
57.00
57.51
59.55
61.29
56.61
55.91
57.63
54.06
53.50
54.26
55.70
54.75
51.51
50.40
Nu(z)
A-323
98
99
100
101
102
103
104
65
66
67
68
69
70
71
72
129
130
131
132
133
134
135
136
RodF4_85.6
RodF4_88.4
RodF4_92.4
RodF4_94.3
RodF4_97.2
RodF4_108.8
RodF4_111
RodD2_103.2
RodD2_106
RodD2_112.6
RodD2_114.9
RodD2_117.4
RodD2_120.8
RodD2_124.8
RodD2_128.6
RodD6_103.1
RodD6_106
RodD6_112.9
RodD6_114.9
RodD6_116.8
RodD6_120.9
RodD6_124.8
RodD6_128.7
2.619
2.692
2.868
2.918
2.967
3.071
3.170
3.269
2.621
2.692
2.860
2.918
2.982
3.068
3.170
3.266
2.174
2.245
2.347
2.395
2.469
2.764
2.819
(m)
2.245
2.319
2.370
2.416
2.540
2.692
2.791
3.614
Channel Elevation
Number
161
162
163
164
165
166
167
168
H.R.
Location
RodB4_88.4
RodB4_91.3
RodB4_93.3
RodB4_95.1
RodB4_100
RodB4_106
RodB4_109.9
RodB4_142.3
0.371
0.445
0.004
0.055
0.103
0.207
0.306
0.405
0.373
0.445
-0.004
0.055
0.118
0.204
0.306
0.403
0.374
-0.003
0.099
0.147
0.221
0.516
-0.044
(m)
-0.003
0.071
0.122
0.168
0.292
0.445
0.544
0.224
Zgrid
770.3
778.1
769.1
788.0
799.0
805.0
805.4
804.9
766.0
773.4
760.4
781.0
791.8
800.7
800.8
798.8
686.3
690.8
732.3
745.0
759.0
790.7
761.5
(K)
688.6
726.5
741.2
751.1
769.5
785.8
764.1
811.8
H.R.Tw
20802.0
21182.6
19327.4
18540.3
17789.1
16166.1
14624.9
13084.3
20763.9
21138.1
19394.8
18495.1
17516.8
16187.3
14624.2
13137.1
665.0
674.4
696.0
702.1
707.7
719.6
730.4
740.7
665.3
674.4
695.1
702.1
709.5
719.3
730.4
740.5
606.9
616.3
629.7
636.0
645.7
683.3
690.1
(K)
616.3
626.0
632.7
638.7
654.9
674.4
686.7
771.5
(W/m2)
18598.1
18971.6
19228.0
19460.3
20089.2
20860.8
20195.0
7848.2
18352.4
18721.7
19246.0
19495.9
19875.3
20990.4
20134.5
Tcl
H.R. q''
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
682.6
691.7
708.2
716.4
722.9
733.9
742.9
751.4
682.1
690.9
706.0
715.2
723.2
732.9
742.2
750.2
620.1
628.7
646.8
654.2
664.5
701.2
702.0
(K)
628.3
642.7
650.8
657.4
674.0
692.9
699.6
778.2
Tbulk
8709
8578
8351
8243
8159
8022
7912
7813
8715
8589
8381
8258
8155
8034
7922
7827
9728
9574
9265
9144
8980
8446
8434
9581
9332
9199
9092
8836
8560
8467
7514
Re (z)
Table SC-3242-B.1: Summary of Steam Cooling Data (cont.)
h (z)
237.17
244.93
317.34
258.82
233.96
227.12
234.11
244.73
247.53
256.05
356.23
281.24
255.29
238.69
249.54
270.27
277.58
301.70
224.98
214.70
210.39
234.39
338.54
(W/m2-K)
308.67
226.58
212.60
207.79
210.43
224.61
313.17
233.86
±σhtc
10.01
10.20
14.07
11.05
9.88
9.71
10.32
11.27
10.52
10.75
16.31
12.24
11.01
10.32
11.18
12.85
13.77
14.84
10.22
9.55
9.14
9.63
15.10
(W/m2-K)
15.32
10.42
9.55
9.18
8.99
9.30
13.72
13.10
Fractional
4.22%
4.17%
4.43%
4.27%
4.22%
4.28%
4.41%
4.60%
4.25%
4.20%
4.58%
4.35%
4.31%
4.32%
4.48%
4.75%
4.96%
4.92%
4.54%
4.45%
4.34%
4.11%
4.46%
Uncertainty
4.96%
4.60%
4.49%
4.42%
4.27%
4.14%
4.38%
5.60%
49.80
50.46
63.19
50.68
45.21
42.95
43.49
44.72
52.02
52.84
71.25
55.20
49.31
45.22
46.43
49.51
66.87
71.28
51.04
47.92
45.91
47.34
68.26
72.99
51.87
47.81
46.05
45.00
46.15
63.46
40.62
Nu(z)
A-324
169
170
171
172
173
174
175
176
89
90
91
92
93
94
95
96
121
122
123
124
125
126
127
128
RodB3_50.2
RodB3_54.1
RodB3_56.9
RodB3_60.1
RodB3_66.1
RodB3_69.9
RodB3_73
RodB3_75
RodF3_50.1
RodF3_54
RodF3_57
RodF3_60
RodF3_66.1
RodF3_70
RodF3_73
RodF3_75
RodE6_50.2
RodE6_54.1
RodE6_57
RodE6_60.2
RodE6_66.1
RodE6_70
RodE6_73.1
RodE6_75
1.275
1.374
1.448
1.529
1.679
1.778
1.857
1.905
1.273
1.372
1.448
1.524
1.679
1.778
1.854
1.905
1.275
1.374
1.445
1.527
1.679
1.775
1.854
1.905
(m)
1.273
1.372
1.445
1.521
1.676
1.773
1.852
1.902
Channel Elevation
Number
73
74
75
76
77
78
79
80
H.R.
Location
RodE2_50.1
RodE2_54
RodE2_56.9
RodE2_59.9
RodE2_66
RodE2_69.8
RodE2_72.9
RodE2_74.9
0.081
0.180
0.254
0.335
0.485
-0.022
0.056
0.105
0.079
0.178
0.254
0.330
0.485
-0.022
0.054
0.105
0.081
0.180
0.251
0.333
0.485
-0.025
0.054
0.105
(m)
0.079
0.178
0.251
0.328
0.483
-0.027
0.051
0.102
Zgrid
581.1
598.4
606.7
613.2
631.2
613.8
650.3
664.7
584.7
601.2
609.8
616.6
626.7
615.8
653.5
671.7
577.4
592.2
601.2
607.1
623.8
608.3
645.9
661.2
(K)
581.2
599.8
610.8
616.0
631.3
612.4
648.0
661.4
H.R.Tw
13642.9
14155.8
14536.6
14957.1
15732.7
16245.2
16654.0
16905.2
13650.5
14180.1
14587.1
14994.7
15821.6
16351.3
16757.3
17028.9
497.7
508.2
516.4
525.7
543.5
555.8
565.7
571.8
497.5
508.0
516.4
525.1
543.5
555.8
565.4
571.8
497.7
508.2
516.1
525.4
543.5
555.4
565.4
571.8
(K)
497.5
508.0
516.1
524.8
543.2
555.1
565.0
571.5
(W/m2)
13727.3
14251.4
14640.3
15043.8
15861.9
16372.1
16788.6
17057.3
13649.1
14167.5
14539.0
14964.7
15761.3
16266.0
16678.1
16943.6
Tcl
H.R. q''
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
511.6
523.3
531.4
540.3
558.1
565.4
579.8
587.3
512.0
523.5
531.9
540.3
557.4
565.8
580.0
588.5
511.0
522.2
530.3
539.0
556.9
564.2
578.8
586.7
(K)
511.4
523.3
531.9
540.0
557.9
564.7
578.9
586.5
Tbulk
12214
11890
11673
11446
11012
10843
10527
10368
12203
11884
11659
11444
11029
10836
10521
10344
12232
11918
11703
11478
11041
10870
10548
10380
12220
11890
11661
11453
11017
10861
10547
10385
Re (z)
Table SC-3242-B.1: Summary of Steam Cooling Data (cont.)
h (z)
196.26
188.41
193.21
205.02
215.36
335.66
236.21
218.41
187.80
182.44
187.45
196.50
228.26
326.93
228.23
204.70
205.55
202.39
204.88
219.74
235.71
369.50
248.40
227.61
(W/m2-K)
196.72
186.27
185.49
197.95
216.03
343.17
242.83
227.77
±σhtc
13.92
12.64
12.50
12.80
12.59
20.10
12.93
11.61
13.28
12.20
12.07
12.22
13.37
19.38
12.40
10.76
14.63
13.64
13.33
13.81
13.89
22.63
13.65
12.14
(W/m2-K)
13.90
12.43
11.91
12.30
12.57
20.57
13.26
12.11
Fractional
7.09%
6.71%
6.47%
6.24%
5.84%
5.99%
5.47%
5.32%
7.07%
6.69%
6.44%
6.22%
5.86%
5.93%
5.43%
5.26%
7.12%
6.74%
6.50%
6.29%
5.89%
6.12%
5.50%
5.33%
Uncertainty
7.06%
6.67%
6.42%
6.21%
5.82%
5.99%
5.46%
5.32%
61.60
57.41
57.67
59.85
60.14
92.07
62.57
56.82
58.89
55.56
55.88
57.35
63.86
89.60
60.42
53.11
64.61
61.83
61.33
64.36
66.03
101.65
65.96
59.30
61.77
56.76
55.31
57.83
60.36
94.31
64.47
59.37
Nu(z)
RBHT Steam Cooling Test SC-3242-C
Matrix test # 8
Test date – 8/5/2005
Steady state time window: 16100 - 16400 sec
Inlet flow: 4.81 m3/min (169.8 ft3/min)
Inlet steam temperature: 418 K (294 °F)
Upper plenum pressure: 271.7 kPa (39.4 psia)
Bundle power: 95.1 kW
Outlet steam temperature: 620 K (657 °F)
Bundle inlet Reynolds number: 18216
Subchannel Centerline Temperatures
The equations below were correlated using the axial subchannel centerline temperature
distribution. Experiment SC-3242 was run with the traversing probes withdrawn.
Centerline steam temperatures used are from experiment SC-3214-B.
Subchannels D5 and E5 (use for inner 3x3 rod bundle thermocouple locations)
Tcl = -13.119x3 + 83.696x2 - 39.122x + 442.54
Subchannel C5 (use for 5x5 peripheral rod bundle thermocouple locations)
Tcl = -8.1355x3 + 57.708x2 - 7.379x + 431.3
where x is the elevation (m) and Tcl is in (K)
A-325
A-326
A-327
A-328
Subchannels D5 and E5 Axial Temperature Profile
3
2
y = -13.119x + 83.696x - 39.122x + 442.54
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
Elevation (m)
A-329
2.5
3
3.5
4
Subchannel C5 Axial Temperature Profile
y = -8.1355x3 + 57.708x2 - 7.379x + 431.3
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
Elevation (m)
A-330
2.5
3
3.5
4
A-331
233
234
235
236
237
238
239
240
241
242
243
244
248
201
202
204
205
208
193
194
195
196
197
198
199
200
RodC4_88.4
RodC4_91.1
RodC4_93.4
RodC4_95.3
RodC4_100.1
RodC4_106.1
RodC4_110
RodC4_142.2
RodD4_88.3
RodD4_91.3
RodD4_93.2
RodD4_95.2
RodD4_142.1
RodE4_88.4
RodE4_91.2
RodE4_95.3
RodE4_100.9
RodE4_142.3
RodE3_63.4
RodE3_113.6
RodE3_115.5
RodE3_118.5
RodE3_122.7
RodE3_126.5
RodE3_131.7
RodE3_135.6
1.610
2.885
2.934
3.010
3.117
3.213
3.345
3.444
2.245
2.316
2.421
2.563
3.614
2.243
2.319
2.367
2.418
3.609
2.245
2.314
2.372
2.421
2.543
2.695
2.794
3.612
(m)
2.243
2.319
2.365
2.421
2.543
2.695
2.794
3.609
Channel Elevation
Number
185
186
187
188
189
190
191
192
H.R.
Location
RodD3_88.3
RodD3_91.3
RodD3_93.1
RodD3_95.3
RodD3_100.1
RodD3_106.1
RodD3_110
RodD3_142.1
0.417
0.022
0.070
0.146
0.253
0.349
-0.046
0.053
-0.003
0.069
0.173
0.315
0.224
-0.005
0.071
0.119
0.170
0.218
-0.003
0.066
0.124
0.173
0.295
0.447
0.546
0.221
(m)
-0.005
0.071
0.117
0.173
0.295
0.447
0.546
0.218
Zgrid
639.7
798.6
814.5
825.1
822.8
820.2
795.0
810.3
704.8
742.0
768.6
785.6
815.0
710.4
745.2
760.1
770.6
818.4
703.2
742.6
760.2
772.7
789.9
805.1
784.6
821.0
(K)
698.7
741.3
759.5
775.3
794.8
811.2
793.9
812.1
H.R.Tw
20909.0
25770.6
24813.4
23301.3
21181.9
19267.5
16649.1
14680.9
25249.2
25736.1
26450.8
27427.8
10446.1
25637.0
26181.5
26527.8
26892.4
10339.6
541.8
711.3
716.9
725.3
736.4
745.7
757.2
764.6
628.2
638.0
652.2
671.2
775.1
627.8
638.3
644.9
651.8
774.8
628.2
637.6
645.6
652.2
668.5
688.2
700.5
775.0
(K)
627.8
638.3
644.6
652.2
668.5
688.2
700.5
774.8
(W/m2)
25438.6
25978.2
26300.3
26697.5
27562.3
28645.2
28288.5
9865.5
25729.4
26225.3
26647.8
26998.4
27880.7
28985.9
28052.0
10698.2
Tcl
H.R. q''
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
558.1
725.9
733.1
741.9
750.8
758.1
763.5
772.3
640.9
655.3
671.6
690.2
781.7
641.6
656.1
664.1
671.6
782.1
640.7
655.1
664.7
672.3
688.7
707.7
714.5
782.6
(K)
639.6
655.5
663.7
672.7
689.6
708.7
716.0
781.0
Tbulk
14880
10974
10852
10708
10567
10453
10372
10241
12652
12331
11988
11619
10104
12637
12314
12143
11987
10099
12658
12336
12131
11975
11647
11294
11172
10091
12682
12328
12151
11966
11632
11275
11145
10114
Re (z)
Table SC-3242-C.1: Summary of Steam Cooling Data
h (z)
256.23
354.23
305.09
280.26
294.44
310.61
528.54
385.99
395.18
296.78
272.54
287.73
314.31
372.23
294.02
276.49
271.70
284.70
411.18
299.87
279.15
268.89
275.50
297.43
400.27
278.57
(W/m2-K)
430.41
302.72
274.52
260.23
261.84
279.52
363.43
317.22
±σhtc
12.38
13.94
11.55
10.36
10.94
12.25
37.01
22.84
17.54
11.82
10.08
9.92
20.29
16.24
11.53
10.54
10.10
16.95
18.11
11.88
10.62
9.89
9.66
10.33
15.89
15.17
(W/m2-K)
19.54
12.03
10.61
9.74
9.22
9.62
13.96
22.57
Fractional
5.99%
4.44%
4.31%
4.28%
4.39%
4.60%
7.03%
6.09%
5.09%
4.67%
4.46%
4.29%
6.65%
4.98%
4.62%
4.51%
4.43%
6.23%
5.08%
4.64%
4.50%
4.41%
4.27%
4.16%
4.48%
5.89%
Uncertainty
5.19%
4.67%
4.53%
4.42%
4.26%
4.14%
4.35%
7.14%
71.56
68.06
57.78
52.17
53.87
56.03
94.39
67.80
90.83
66.08
58.58
59.45
54.24
85.44
65.35
60.39
58.40
49.10
94.57
66.80
60.90
57.71
57.10
59.28
78.68
47.99
99.22
67.38
60.01
55.80
54.18
55.60
71.22
54.81
Nu(z)
A-332
1.615
2.885
2.931
3.015
3.114
3.216
3.343
3.444
209
210
211
212
213
214
215
216
177
178
179
180
181
182
183
217
218
219
220
221
222
223
224
RodE5_63.6
RodE5_113.6
RodE5_115.4
RodE5_118.7
RodE5_122.6
RodE5_126.6
RodE5_131.6
RodE5_135.6
RodC3_79.8
RodC3_85.6
RodC3_88.5
RodC3_92.4
RodC3_94.4
RodC3_97.2
RodC3_108.8
RodD5_50
RodD5_54.1
RodD5_56.9
RodD5_60
RodD5_66.1
RodD5_69.9
RodD5_72.9
RodD5_74.9
1.270
1.374
1.445
1.524
1.679
1.775
1.852
1.902
2.027
2.174
2.248
2.347
2.398
2.469
2.764
(m)
1.618
2.885
2.939
3.117
3.218
3.343
3.447
Channel Elevation
Location
Number
RodC5_63.7
225
RodC5_113.6
226
RodC5_115.7
227
RodC5_122.7
229
RodC5_126.7
230
RodC5_131.6
231
RodC5_135.7
232
H.R.
0.076
0.180
0.251
0.330
0.485
-0.025
0.051
0.102
0.227
0.374
0.000
0.099
0.150
0.221
0.516
0.422
0.022
0.067
0.151
0.250
0.352
-0.048
0.053
(m)
0.424
0.022
0.075
0.253
0.354
-0.048
0.056
Zgrid
594.7
615.4
622.4
629.8
649.6
627.9
667.8
684.3
693.6
686.6
695.4
740.7
753.0
768.1
798.6
635.0
798.5
807.8
815.0
816.3
813.2
789.8
809.8
(K)
639.2
801.0
820.3
828.5
829.1
805.2
822.1
H.R.Tw
18564.8
19295.6
19794.9
20348.0
21436.4
22114.4
22647.9
23004.0
23784.1
24822.1
25336.5
26032.3
26386.5
26885.2
28345.1
21015.9
25934.6
25040.3
23402.3
21465.1
19479.5
16997.8
15012.5
(W/m )
20504.8
25135.0
24129.1
20774.7
18859.6
16513.8
14550.4
2
H.R. q''
501.0
512.8
521.2
530.9
550.7
563.5
573.8
580.7
597.9
618.3
628.5
642.1
649.1
658.7
696.7
542.5
711.3
716.6
725.8
736.2
746.0
757.0
764.6
(K)
542.8
711.3
717.4
736.4
746.2
757.0
764.8
Tcl
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
516.6
529.9
538.1
547.4
567.2
574.2
589.4
598.0
613.8
629.7
639.7
658.6
666.4
676.9
713.7
557.9
725.9
731.8
740.7
749.5
757.2
762.4
772.2
(K)
558.8
726.3
734.6
751.8
760.0
765.0
774.4
Tbulk
16315
15827
15541
15228
14599
14387
13951
13718
13304
12914
12681
12261
12096
11880
11186
14888
10975
10875
10728
10587
10468
10388
10242
14857
10968
10829
10552
10424
10349
10210
Re (z)
Table SC-3242-C.1: Summary of Steam Cooling Data (cont.)
237.60
225.54
234.72
246.80
260.08
411.75
289.15
266.53
298.12
435.81
454.21
317.06
304.80
294.86
333.88
272.57
356.81
329.31
315.01
321.37
347.58
621.98
399.10
13.59
11.90
11.75
12.12
12.34
20.86
13.19
11.55
11.83
19.75
21.14
12.38
11.49
10.60
12.13
13.02
14.02
12.65
12.38
12.56
14.05
52.28
24.63
(W/m -K)
12.38
13.36
10.45
9.95
10.61
23.17
15.34
2
2
(W/m -K)
255.22
336.45
281.61
270.63
272.87
411.01
305.00
±σhtc
h (z)
7.07%
6.66%
6.43%
6.21%
5.82%
6.02%
5.48%
5.31%
5.10%
5.31%
5.29%
4.66%
4.55%
4.42%
4.25%
6.00%
4.44%
4.38%
4.41%
4.51%
4.74%
8.06%
6.21%
Uncertainty
6.06%
4.44%
4.28%
4.34%
4.48%
5.87%
5.30%
Fractional
73.63
67.58
68.90
70.78
71.04
110.55
74.85
67.61
72.88
102.74
104.70
70.10
66.25
62.66
65.73
76.17
68.55
62.53
58.77
58.94
62.82
111.29
70.11
71.15
64.59
53.18
49.42
49.05
73.19
53.36
Nu(z)
A-333
105
106
107
108
109
110
111
112
57
58
59
60
61
62
63
64
137
138
139
140
141
142
143
144
RodF5_41
RodF5_53.1
RodF5_55
RodF5_57.8
RodF5_64
RodF5_73.8
RodF5_75.8
RodF5_76.8
RodC2_41
RodC2_53.1
RodC2_55
RodC2_57.8
RodC2_63.9
RodC2_73.8
RodC2_75.8
RodC2_76.8
RodC6_40.9
RodC6_52.8
RodC6_54.8
RodC6_57.8
RodC6_63.8
RodC6_73.7
RodC6_75.8
RodC6_76.8
1.039
1.341
1.392
1.468
1.621
1.872
1.925
1.951
1.041
1.349
1.397
1.468
1.623
1.875
1.925
1.951
1.041
1.349
1.397
1.468
1.626
1.875
1.925
1.951
(m)
1.041
1.344
1.397
1.468
1.626
1.877
1.928
1.953
Channel Elevation
Number
153
154
155
156
157
158
159
160
H.R.
Location
RodB5_41
RodB5_52.9
RodB5_55
RodB5_57.8
RodB5_64
RodB5_73.9
RodB5_75.9
RodB5_76.9
0.340
0.147
0.198
0.274
0.427
0.072
0.125
0.150
0.343
0.155
0.203
0.274
0.429
0.074
0.125
0.150
0.343
0.155
0.203
0.274
0.432
0.074
0.125
0.150
(m)
0.343
0.150
0.203
0.274
0.432
0.077
0.128
0.153
Zgrid
563.2
603.4
610.5
619.6
639.1
673.7
681.7
688.3
560.6
601.1
605.5
608.7
625.9
659.7
669.8
673.3
562.8
599.9
606.4
614.3
632.3
662.5
674.7
677.9
(K)
566.6
604.9
611.1
617.4
637.2
673.2
684.5
689.3
H.R.Tw
16769.0
19006.1
19382.3
19947.2
21075.3
22937.0
23331.5
23518.9
16848.3
19029.4
19372.2
19877.5
20977.2
22761.0
23121.0
23300.1
476.8
505.6
510.9
519.1
536.3
566.3
572.9
576.1
477.0
506.4
511.4
519.1
536.6
566.7
572.9
576.1
477.0
506.4
511.4
519.1
536.9
566.7
572.9
576.1
(K)
477.0
505.8
511.4
519.1
536.9
567.0
573.3
576.4
(W/m2)
16879.1
19023.9
19402.4
19907.8
21025.5
22809.5
23170.3
23350.3
16769.7
18950.9
19293.6
19798.6
20917.0
22682.8
23042.0
23223.0
Tcl
H.R. q''
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
491.2
521.9
527.5
535.8
553.4
584.2
591.1
594.8
491.0
522.2
527.1
534.0
551.5
582.2
589.1
592.3
491.3
522.0
527.3
535.0
552.8
582.6
589.9
593.1
(K)
492.0
522.3
528.0
535.5
553.6
584.7
591.8
595.2
Tbulk
17331
16118
15913
15618
15030
14097
13906
13803
17341
16108
15927
15681
15094
14156
13961
13872
17326
16115
15921
15648
15051
14143
13938
13851
17299
16100
15894
15630
15025
14085
13885
13791
Re (z)
Table SC-3242-C.1: Summary of Steam Cooling Data (cont.)
h (z)
232.92
233.19
233.62
238.31
245.99
256.46
257.53
251.53
241.76
241.02
247.26
266.17
281.73
293.48
286.51
287.79
234.72
243.01
243.72
249.67
263.13
284.16
271.79
273.91
(W/m2-K)
225.98
230.47
233.72
243.08
251.47
257.61
249.91
248.27
±σhtc
14.53
12.28
11.96
11.70
11.54
11.18
10.96
10.50
15.16
12.80
12.75
12.87
13.33
13.06
12.31
12.07
14.69
12.85
12.54
12.47
12.60
12.68
11.59
11.42
(W/m2-K)
13.98
11.98
11.71
11.71
11.71
11.20
10.46
10.20
Fractional
8.10%
6.80%
6.61%
6.36%
5.92%
5.33%
5.22%
5.15%
8.08%
6.80%
6.64%
6.42%
6.01%
5.44%
5.30%
5.25%
8.10%
6.82%
6.65%
6.42%
5.99%
5.43%
5.28%
5.22%
Uncertainty
8.03%
6.78%
6.59%
6.37%
5.93%
5.34%
5.21%
5.15%
77.03
71.30
70.43
70.34
69.50
67.21
66.41
64.28
80.00
73.65
74.61
78.92
79.99
77.30
74.23
73.99
77.60
74.29
73.51
73.86
74.46
74.76
70.28
70.29
74.58
70.39
70.36
71.82
71.02
67.45
64.33
63.39
Nu(z)
A-334
98
99
100
101
102
103
104
65
66
67
68
69
70
71
72
129
130
131
132
133
134
135
136
RodF4_85.6
RodF4_88.4
RodF4_92.4
RodF4_94.3
RodF4_97.2
RodF4_108.8
RodF4_111
RodD2_103.2
RodD2_106
RodD2_112.6
RodD2_114.9
RodD2_117.4
RodD2_120.8
RodD2_124.8
RodD2_128.6
RodD6_103.1
RodD6_106
RodD6_112.9
RodD6_114.9
RodD6_116.8
RodD6_120.9
RodD6_124.8
RodD6_128.7
2.619
2.692
2.868
2.918
2.967
3.071
3.170
3.269
2.621
2.692
2.860
2.918
2.982
3.068
3.170
3.266
2.174
2.245
2.347
2.395
2.469
2.764
2.819
(m)
2.245
2.319
2.370
2.416
2.540
2.692
2.791
3.614
Channel Elevation
Number
161
162
163
164
165
166
167
168
H.R.
Location
RodB4_88.4
RodB4_91.3
RodB4_93.3
RodB4_95.1
RodB4_100
RodB4_106
RodB4_109.9
RodB4_142.3
0.371
0.445
0.004
0.055
0.103
0.207
0.306
0.405
0.373
0.445
-0.004
0.055
0.118
0.204
0.306
0.403
0.374
-0.003
0.099
0.147
0.221
0.516
-0.044
(m)
-0.003
0.071
0.122
0.168
0.292
0.445
0.544
0.224
Zgrid
776.5
785.3
779.0
799.6
808.8
810.9
811.9
811.9
774.7
782.8
771.3
792.6
802.8
807.2
806.9
805.6
695.9
700.9
743.7
755.9
769.0
803.0
770.5
(K)
696.1
735.7
749.6
758.6
775.0
794.8
774.6
815.4
H.R.Tw
28223.4
28742.4
26226.2
25151.8
24130.9
21928.7
19833.4
17739.9
28178.8
28682.3
26313.6
25094.2
23763.3
21955.1
19829.6
17810.7
661.6
671.0
692.9
699.1
704.9
717.2
728.6
739.7
661.9
671.0
691.9
699.1
706.7
716.9
728.6
739.4
604.4
613.6
626.7
632.9
642.4
679.9
686.9
(K)
613.6
623.1
629.6
635.5
651.6
671.0
683.4
774.4
(W/m2)
25235.4
25739.0
26088.8
26402.8
27256.5
28302.9
27400.1
10627.5
24894.6
25395.0
26108.4
26444.9
26963.4
28473.9
27316.2
Tcl
H.R. q''
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
680.8
690.0
707.2
715.8
722.2
732.9
742.5
751.7
680.7
689.6
705.1
714.7
722.7
732.0
741.7
750.4
619.7
628.1
646.2
653.4
663.5
700.4
700.8
(K)
627.3
641.8
649.6
656.0
672.1
691.6
698.6
781.2
Tbulk
11803
11623
11302
11149
11037
10857
10699
10553
13157
12951
12533
12373
12156
11426
11419
0
11804
11631
11340
11169
11028
10871
10712
10573
12970
12631
12456
12315
11977
11592
11460
10111
Re (z)
Table SC-3242-C.1: Summary of Steam Cooling Data (cont.)
h (z)
294.73
301.74
365.15
300.30
278.57
280.99
286.05
294.78
299.83
307.92
397.82
321.81
296.67
291.80
304.12
322.86
326.52
348.85
267.80
258.11
255.60
277.55
392.07
(W/m2-K)
366.89
274.32
260.95
257.37
265.06
274.19
360.79
310.83
±σhtc
10.04
10.24
14.14
11.09
9.91
9.76
10.37
11.35
10.54
10.77
16.38
12.28
11.04
10.35
11.24
12.92
13.81
14.90
10.25
9.58
9.16
9.66
15.16
(W/m2-K)
15.38
10.46
9.58
9.21
9.01
9.32
13.78
13.25
Fractional
4.22%
4.17%
4.44%
4.27%
4.22%
4.28%
4.41%
4.61%
4.25%
4.20%
4.58%
4.35%
4.31%
4.32%
4.49%
4.76%
4.97%
4.92%
4.54%
4.45%
4.34%
4.11%
4.46%
Uncertainty
4.97%
4.60%
4.49%
4.42%
4.27%
4.14%
4.39%
5.62%
62.12
62.37
72.85
58.87
53.91
53.24
53.18
53.84
63.20
63.71
79.70
63.24
57.35
55.38
56.63
59.11
78.75
82.53
60.84
57.71
55.90
56.14
79.25
86.95
62.92
58.83
57.21
56.91
56.49
73.26
53.69
Nu(z)
A-335
169
170
171
172
173
174
175
176
89
90
91
92
93
94
95
96
121
122
123
124
125
126
127
128
RodB3_50.2
RodB3_54.1
RodB3_56.9
RodB3_60.1
RodB3_66.1
RodB3_69.9
RodB3_73
RodB3_75
RodF3_50.1
RodF3_54
RodF3_57
RodF3_60
RodF3_66.1
RodF3_70
RodF3_73
RodF3_75
RodE6_50.2
RodE6_54.1
RodE6_57
RodE6_60.2
RodE6_66.1
RodE6_70
RodE6_73.1
RodE6_75
1.275
1.374
1.448
1.529
1.679
1.778
1.857
1.905
1.273
1.372
1.448
1.524
1.679
1.778
1.854
1.905
1.275
1.374
1.445
1.527
1.679
1.775
1.854
1.905
(m)
1.273
1.372
1.445
1.521
1.676
1.773
1.852
1.902
Channel Elevation
Number
73
74
75
76
77
78
79
80
H.R.
Location
RodE2_50.1
RodE2_54
RodE2_56.9
RodE2_59.9
RodE2_66
RodE2_69.8
RodE2_72.9
RodE2_74.9
0.081
0.180
0.254
0.335
0.485
-0.022
0.056
0.105
0.079
0.178
0.254
0.330
0.485
-0.022
0.054
0.105
0.081
0.180
0.251
0.333
0.485
-0.025
0.054
0.105
(m)
0.079
0.178
0.251
0.328
0.483
-0.027
0.051
0.102
Zgrid
588.1
603.3
609.3
616.6
637.2
619.4
658.0
671.5
591.1
606.7
613.8
621.8
633.7
621.9
662.8
681.7
583.2
597.3
605.1
612.2
630.2
614.2
653.8
669.0
(K)
587.2
604.5
614.1
620.2
637.9
618.5
657.0
671.1
H.R.Tw
18509.4
19204.6
19721.5
20292.1
21344.0
22041.6
22592.6
22931.7
18518.8
19237.3
19789.6
20342.3
21465.7
22184.8
22735.2
23103.5
498.9
509.0
516.9
525.9
543.1
554.9
564.5
570.4
498.6
508.8
516.9
525.3
543.1
554.9
564.2
570.4
498.9
509.0
516.6
525.6
543.1
554.6
564.2
570.4
(K)
498.6
508.8
516.6
525.0
542.8
554.3
563.9
570.1
(W/m2)
18623.2
19333.7
19862.0
20408.9
21520.7
22214.4
22776.7
23141.4
18517.7
19220.6
19724.6
20301.8
21384.0
22070.3
22627.8
22987.7
Tcl
H.R. q''
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
513.7
524.7
532.3
541.0
558.8
565.6
580.1
587.3
514.0
525.1
533.0
541.4
558.2
566.1
580.6
589.0
512.9
523.7
531.4
540.0
557.6
564.5
579.1
586.9
(K)
513.4
524.7
532.9
540.9
558.6
565.0
579.4
586.9
Tbulk
16424
16013
15742
15442
14859
14646
14217
14012
16413
16001
15716
15428
14878
14633
14201
13964
16455
16049
15775
15475
14896
14681
14244
14023
16438
16014
15722
15445
14864
14666
14237
14021
Re (z)
Table SC-3242-C.1: Summary of Steam Cooling Data (cont.)
h (z)
248.94
244.33
256.08
268.48
272.02
410.28
289.75
272.28
240.16
235.72
245.03
252.81
284.24
397.19
276.47
249.07
263.43
261.15
267.62
281.40
294.52
444.50
302.80
279.78
(W/m2-K)
252.10
242.28
244.57
257.30
271.43
415.12
293.46
275.02
±σhtc
13.95
12.67
12.53
12.83
12.62
20.18
12.97
11.64
13.32
12.23
12.10
12.25
13.41
19.47
12.44
10.79
14.67
13.68
13.36
13.86
13.94
22.74
13.70
12.18
(W/m2-K)
13.93
12.46
11.94
12.33
12.60
20.65
13.30
12.14
Fractional
7.10%
6.71%
6.47%
6.25%
5.85%
5.99%
5.48%
5.32%
7.07%
6.69%
6.44%
6.22%
5.86%
5.93%
5.43%
5.26%
7.12%
6.74%
6.51%
6.29%
5.90%
6.13%
5.50%
5.34%
Uncertainty
7.07%
6.67%
6.42%
6.21%
5.82%
6.00%
5.46%
5.32%
77.72
74.17
76.27
78.24
75.84
112.48
76.70
70.85
74.92
71.50
72.84
73.60
79.37
108.78
73.09
64.54
82.41
79.48
79.89
82.20
82.35
122.20
80.35
72.87
78.77
73.56
72.74
75.00
75.70
113.99
77.82
71.61
Nu(z)
RBHT Steam Cooling Test SC-3242-D
Matrix test # 9
Test date – 8/5/2005
Steady state time window: 18840 - 19020 sec
Inlet flow: 6.66 m3/min (235.1 ft3/min)
Inlet steam temperature: 421 K (298F)
Upper plenum pressure: 271.7 kPa (39.4 psia)
Bundle power: 140.0
Outlet steam temperature: 635 K (684 °F)
Bundle inlet Reynolds number: 24837
Subchannel Centerline Temperatures
The equations below were correlated using the axial subchannel centerline temperature
distribution. Experiment SC-3242 was run with the traversing probes withdrawn.
Centerline steam temperatures used are from experiment SC-3214-C.
Subchannels D5 and E5 (use for inner 3x3 rod bundle thermocouple locations)
Tcl = -11.49x3 + 75.265x2 - 24.912x + 440.09
Subchannel C5 (use for 5x5 peripheral rod bundle thermocouple locations)
Tcl = -7.4673x3 + 54.417x2 - 1.5846x + 432.97
where x is the elevation (m) and Tcl is in (K)
A-336
A-337
A-338
A-339
Subchannels D5 and E5 Axial Temperature Profile
y = -11.49x3 + 75.265x2 - 24.912x + 440.09
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
Elevation (m )
A-340
2.5
3
3.5
4
Subchannel C5 Axial Temperature Profile
2
y = -7.4673x3 + 54.417x - 1.5846x + 432.97
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
Elevation (m )
A-341
2.5
3
3.5
4
A-342
233
234
235
236
237
238
239
240
241
242
243
244
248
201
202
204
205
208
193
194
195
196
197
198
199
200
RodC4_88.4
RodC4_91.1
RodC4_93.4
RodC4_95.3
RodC4_100.1
RodC4_106.1
RodC4_110
RodC4_142.2
RodD4_88.3
RodD4_91.3
RodD4_93.2
RodD4_95.2
RodD4_142.1
RodE4_88.4
RodE4_91.2
RodE4_95.3
RodE4_100.9
RodE4_142.3
RodE3_63.4
RodE3_113.6
RodE3_115.5
RodE3_118.5
RodE3_122.7
RodE3_126.5
RodE3_131.7
RodE3_135.6
1.610
2.885
2.934
3.010
3.117
3.213
3.345
3.444
2.245
2.316
2.421
2.563
3.614
2.243
2.319
2.367
2.418
3.609
2.245
2.314
2.372
2.421
2.543
2.695
2.794
3.612
(m)
2.243
2.319
2.365
2.421
2.543
2.695
2.794
3.609
Channel Elevation
Number
185
186
187
188
189
190
191
192
H.R.
Location
RodD3_88.3
RodD3_91.3
RodD3_93.1
RodD3_95.3
RodD3_100.1
RodD3_106.1
RodD3_110
RodD3_142.1
0.417
0.022
0.070
0.146
0.253
0.349
-0.046
0.053
-0.003
0.069
0.173
0.315
0.224
-0.005
0.071
0.119
0.170
0.218
-0.003
0.066
0.124
0.173
0.295
0.447
0.546
0.221
(m)
-0.005
0.071
0.117
0.173
0.295
0.447
0.546
0.218
Zgrid
652.0
815.3
831.3
838.6
834.2
832.1
806.6
822.3
720.1
758.4
785.2
800.2
824.7
726.3
761.4
776.5
786.8
827.6
717.7
759.0
776.1
788.4
805.4
822.7
803.0
831.4
(K)
712.7
758.7
777.4
792.4
812.7
829.3
813.3
821.6
H.R.Tw
30831.9
37996.9
36581.6
34351.0
31230.4
28406.2
24544.8
21645.9
37226.4
37944.1
38998.0
40438.0
15401.8
37795.2
38598.6
39108.7
39644.9
15242.7
547.2
718.8
724.7
733.7
745.7
755.9
768.9
777.7
633.5
643.4
657.8
677.2
790.8
633.2
643.8
650.5
657.5
790.4
633.5
643.1
651.2
657.8
674.5
694.7
707.4
790.6
(K)
633.2
643.8
650.1
657.8
674.5
694.7
707.4
790.4
(W/m2)
37504.6
38299.4
38777.0
39361.0
40633.5
42227.2
41702.5
14544.0
37934.1
38664.3
39288.3
39803.5
41106.6
42738.1
41362.9
15772.4
Tcl
H.R. q''
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
564.6
734.9
742.4
751.2
760.4
768.6
775.2
785.1
648.0
662.6
679.0
697.7
796.4
648.7
663.4
671.5
679.0
796.6
647.6
662.4
672.0
679.6
696.3
716.0
723.4
797.4
(K)
646.4
662.9
671.3
680.3
697.5
717.1
725.1
795.6
Tbulk
20161
14867
14698
14508
14310
14141
14009
13813
17161
16725
16261
15766
13597
17138
16702
16471
16261
13593
17173
16730
16456
16246
15802
15309
15134
13579
17208
16715
16475
16228
15771
15283
15094
13613
Re (z)
Table SC-3242-D.1: Summary of Steam Cooling Data
h (z)
353.08
472.55
411.77
392.69
423.51
447.55
780.51
582.35
516.33
396.03
367.54
394.55
544.05
487.22
393.94
372.24
367.79
491.43
541.11
400.21
377.39
365.81
376.60
400.63
519.50
464.20
(W/m2-K)
566.30
399.83
365.57
350.92
352.76
376.53
472.48
560.76
±σhtc
15.39
18.25
15.61
14.93
16.65
18.27
43.56
29.50
21.18
15.35
13.92
14.83
32.51
19.66
15.19
14.16
13.88
27.71
22.29
15.46
14.36
13.79
14.04
14.82
20.08
24.75
(W/m2-K)
23.68
15.48
13.91
13.20
13.09
13.86
17.91
35.63
Fractional
4.36%
3.86%
3.79%
3.80%
3.93%
4.08%
5.58%
5.07%
4.10%
3.88%
3.79%
3.76%
5.98%
4.03%
3.86%
3.80%
3.77%
5.64%
4.12%
3.86%
3.80%
3.77%
3.73%
3.70%
3.87%
5.33%
Uncertainty
4.18%
3.87%
3.80%
3.76%
3.71%
3.68%
3.79%
6.35%
97.04
89.18
76.57
71.80
76.07
79.15
136.35
99.87
116.84
86.79
77.75
80.27
91.39
110.07
86.19
80.03
77.81
82.52
122.56
87.74
81.05
77.30
76.84
78.51
100.31
77.84
128.58
87.56
78.62
74.05
71.80
73.62
90.92
94.34
Nu(z)
A-343
1.615
2.885
2.931
3.015
3.114
3.216
3.343
3.444
209
210
211
212
213
214
215
216
177
178
179
180
181
182
183
217
218
219
220
221
222
223
224
RodE5_63.6
RodE5_113.6
RodE5_115.4
RodE5_118.7
RodE5_122.6
RodE5_126.6
RodE5_131.6
RodE5_135.6
RodC3_79.8
RodC3_85.6
RodC3_88.5
RodC3_92.4
RodC3_94.4
RodC3_97.2
RodC3_108.8
RodD5_50
RodD5_54.1
RodD5_56.9
RodD5_60
RodD5_66.1
RodD5_69.9
RodD5_72.9
RodD5_74.9
1.270
1.374
1.445
1.524
1.679
1.775
1.852
1.902
2.027
2.174
2.248
2.347
2.398
2.469
2.764
(m)
1.618
2.885
2.939
3.117
3.218
3.343
3.447
Channel Elevation
Location
Number
RodC5_63.7
225
RodC5_113.6
226
RodC5_115.7
227
RodC5_122.7
229
RodC5_126.7
230
RodC5_131.6
231
RodC5_135.7
232
H.R.
0.076
0.180
0.251
0.330
0.485
-0.025
0.051
0.102
0.227
0.374
0.000
0.099
0.150
0.221
0.516
0.422
0.022
0.067
0.151
0.250
0.352
-0.048
0.053
(m)
0.424
0.022
0.075
0.253
0.354
-0.048
0.056
Zgrid
605.0
623.8
631.4
640.8
662.9
638.7
680.2
695.5
703.3
701.3
709.9
754.2
764.4
777.9
814.9
645.4
816.3
824.4
828.4
826.1
823.9
801.4
822.5
(K)
650.5
818.6
835.8
841.9
842.9
818.6
836.9
H.R.Tw
27374.9
28452.2
29188.4
30003.6
31606.8
32608.9
33393.7
33918.6
35067.4
36593.9
37357.3
38378.6
38902.9
39637.1
41786.9
30982.6
38229.3
36911.9
34496.9
31641.8
28714.8
25056.6
22130.2
(W/m )
30235.0
37058.3
35575.8
30632.2
27808.4
24349.6
21455.2
2
H.R. q''
506.3
518.2
526.6
536.3
556.0
568.8
579.1
586.0
603.1
623.6
633.9
647.7
654.7
664.4
703.6
547.8
718.8
724.4
734.3
745.4
756.2
768.7
777.7
(K)
548.1
718.8
725.3
745.7
756.5
768.7
777.9
Tcl
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
522.8
535.8
544.1
553.7
573.9
580.5
595.9
604.2
619.8
636.6
646.6
665.4
673.0
683.3
722.1
564.1
735.1
741.0
749.9
758.9
767.5
774.1
785.2
(K)
565.2
735.5
743.7
761.7
770.9
777.0
787.7
Tbulk
22096
21458
21068
20635
19778
19513
18919
18614
18069
17517
17204
16643
16429
16144
15164
20184
14864
14729
14534
14344
14164
14030
13812
20137
14855
14670
14284
14096
13973
13762
Re (z)
Table SC-3242-D.1: Summary of Steam Cooling Data (cont.)
332.71
323.35
334.17
344.56
354.84
559.49
396.22
371.67
420.30
565.22
589.63
432.45
425.46
419.38
450.15
381.00
470.78
443.01
439.60
470.75
508.88
917.86
592.47
(W/m -K)
354.61
445.61
386.16
382.10
386.11
585.22
436.24
2
h (z)
15.83
14.84
15.08
15.27
15.21
25.47
16.60
15.27
17.20
23.95
24.94
16.89
16.47
16.05
16.95
16.70
18.14
16.98
17.04
18.91
21.52
56.14
29.92
(W/m -K)
15.58
17.12
14.58
14.77
15.27
28.02
19.40
2
±σhtc
4.76%
4.59%
4.51%
4.43%
4.29%
4.55%
4.19%
4.11%
4.09%
4.24%
4.23%
3.91%
3.87%
3.83%
3.77%
4.38%
3.85%
3.83%
3.88%
4.02%
4.23%
6.12%
5.05%
Uncertainty
4.39%
3.84%
3.77%
3.87%
3.95%
4.79%
4.45%
Fractional
101.51
95.47
96.63
97.29
95.36
147.97
101.00
92.91
101.34
131.19
133.84
94.20
91.18
87.92
87.14
104.85
88.82
82.60
80.56
84.81
90.19
160.66
101.60
97.32
84.00
71.63
68.46
68.00
101.89
74.45
Nu(z)
A-344
105
106
107
108
109
110
111
112
57
58
59
60
61
62
63
64
137
138
139
140
141
142
143
144
RodF5_41
RodF5_53.1
RodF5_55
RodF5_57.8
RodF5_64
RodF5_73.8
RodF5_75.8
RodF5_76.8
RodC2_41
RodC2_53.1
RodC2_55
RodC2_57.8
RodC2_63.9
RodC2_73.8
RodC2_75.8
RodC2_76.8
RodC6_40.9
RodC6_52.8
RodC6_54.8
RodC6_57.8
RodC6_63.8
RodC6_73.7
RodC6_75.8
RodC6_76.8
1.039
1.341
1.392
1.468
1.621
1.872
1.925
1.951
1.041
1.349
1.397
1.468
1.623
1.875
1.925
1.951
1.041
1.349
1.397
1.468
1.626
1.875
1.925
1.951
(m)
1.041
1.344
1.397
1.468
1.626
1.877
1.928
1.953
Channel Elevation
Number
153
154
155
156
157
158
159
160
H.R.
Location
RodB5_41
RodB5_52.9
RodB5_55
RodB5_57.8
RodB5_64
RodB5_73.9
RodB5_75.9
RodB5_76.9
0.340
0.147
0.198
0.274
0.427
0.072
0.125
0.150
0.343
0.155
0.203
0.274
0.429
0.074
0.125
0.150
0.343
0.155
0.203
0.274
0.432
0.074
0.125
0.150
(m)
0.343
0.150
0.203
0.274
0.432
0.077
0.128
0.153
Zgrid
572.5
613.9
620.7
630.2
651.4
686.6
692.4
697.5
571.3
611.5
615.0
616.7
636.0
670.5
679.6
681.4
571.9
608.8
615.3
623.7
643.9
674.8
685.1
687.3
(K)
576.2
613.2
619.7
627.1
649.3
685.5
695.2
699.1
H.R.Tw
24725.3
28024.2
28578.5
29410.3
31072.6
33816.8
34398.4
34675.3
24845.6
28061.4
28566.0
29309.5
30930.5
33562.8
34094.8
34360.0
481.7
510.7
516.1
524.3
541.5
571.7
578.3
581.5
481.9
511.5
516.6
524.3
541.8
572.0
578.3
581.5
481.9
511.5
516.6
524.3
542.1
572.0
578.3
581.5
(K)
481.9
511.0
516.6
524.3
542.1
572.3
578.7
581.8
(W/m2)
24888.0
28050.2
28608.0
29352.4
30999.5
33629.7
34161.0
34425.9
24728.9
27943.7
28448.4
29193.0
30839.8
33445.9
33976.8
34242.6
Tcl
H.R. q''
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
496.8
527.9
533.5
542.0
559.8
590.9
597.3
600.9
496.8
528.2
533.0
539.7
557.5
588.4
595.2
598.2
496.9
527.7
533.0
540.9
559.1
589.2
596.1
599.1
(K)
497.6
528.0
533.8
541.4
560.0
591.2
598.1
601.4
Tbulk
23484
21839
21566
21166
20366
19110
18866
18737
23484
21826
21590
21272
20466
19202
18945
18836
23479
21849
21588
21216
20399
19175
18911
18800
23439
21834
21553
21190
20359
19097
18839
18718
Re (z)
Table SC-3242-D.1: Summary of Steam Cooling Data (cont.)
326.74
325.96
327.67
333.29
339.38
353.27
362.02
358.74
333.32
336.82
348.34
380.84
393.94
409.10
403.90
413.01
329.63
344.78
345.91
352.34
363.75
390.47
382.02
388.59
16.97
15.15
15.00
14.94
14.66
14.47
14.72
14.50
17.29
15.69
16.05
17.40
17.35
17.15
16.73
17.08
17.13
16.14
15.96
15.95
15.85
16.27
15.71
15.94
±σhtc
(W/m2-K)
16.32
15.31
15.26
15.42
15.03
14.65
14.29
14.23
h (z)
(W/m2-K)
316.79
329.21
333.11
342.52
347.00
356.75
351.89
352.17
Fractional
5.19%
4.65%
4.58%
4.48%
4.32%
4.10%
4.07%
4.04%
5.19%
4.66%
4.61%
4.57%
4.40%
4.19%
4.14%
4.14%
5.20%
4.68%
4.61%
4.53%
4.36%
4.17%
4.11%
4.10%
Uncertainty
5.15%
4.65%
4.58%
4.50%
4.33%
4.11%
4.06%
4.04%
106.51
98.16
97.30
96.89
94.38
91.14
91.97
90.39
108.66
101.37
103.57
111.34
110.18
106.15
103.13
104.72
107.43
103.88
102.83
102.70
101.35
101.14
97.33
98.30
103.06
99.12
98.84
99.70
96.46
91.96
89.24
88.62
Nu(z)
A-345
98
99
100
101
102
103
104
65
66
67
68
69
70
71
72
129
130
131
132
133
134
135
136
RodF4_85.6
RodF4_88.4
RodF4_92.4
RodF4_94.3
RodF4_97.2
RodF4_108.8
RodF4_111
RodD2_103.2
RodD2_106
RodD2_112.6
RodD2_114.9
RodD2_117.4
RodD2_120.8
RodD2_124.8
RodD2_128.6
RodD6_103.1
RodD6_106
RodD6_112.9
RodD6_114.9
RodD6_116.8
RodD6_120.9
RodD6_124.8
RodD6_128.7
2.619
2.692
2.868
2.918
2.967
3.071
3.170
3.269
2.621
2.692
2.860
2.918
2.982
3.068
3.170
3.266
2.174
2.245
2.347
2.395
2.469
2.764
2.819
(m)
2.245
2.319
2.370
2.416
2.540
2.692
2.791
3.614
Channel Elevation
Number
161
162
163
164
165
166
167
168
H.R.
Location
RodB4_88.4
RodB4_91.3
RodB4_93.3
RodB4_95.1
RodB4_100
RodB4_106
RodB4_109.9
RodB4_142.3
0.371
0.445
0.004
0.055
0.103
0.207
0.306
0.405
0.373
0.445
-0.004
0.055
0.118
0.204
0.306
0.403
0.374
-0.003
0.099
0.147
0.221
0.516
-0.044
(m)
-0.003
0.071
0.122
0.168
0.292
0.445
0.544
0.224
Zgrid
789.2
799.4
795.0
815.5
821.3
820.6
822.7
824.3
790.5
799.8
788.6
809.1
818.0
819.7
819.2
818.5
711.1
716.1
758.5
769.9
782.3
821.8
785.5
(K)
709.6
750.0
763.1
771.3
787.2
809.3
791.2
824.1
H.R.Tw
41610.5
42372.5
38662.0
37076.9
35570.5
32324.0
29237.7
26149.2
41549.3
42292.5
38797.3
36996.2
35037.0
32372.5
29239.1
26264.0
667.9
677.4
699.8
706.2
712.2
725.0
736.9
748.4
668.2
677.4
698.9
706.2
714.1
724.7
736.9
748.2
610.0
619.2
632.5
638.8
648.4
686.6
693.7
(K)
619.2
628.8
635.4
641.4
657.7
677.4
690.2
785.6
(W/m2)
37204.3
37946.9
38463.2
38925.2
40185.0
41727.1
40395.2
15665.7
36712.6
37449.1
38497.3
38996.9
39756.6
41984.9
40277.1
Tcl
H.R. q''
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
688.1
697.8
715.7
724.4
730.4
741.0
751.2
761.1
688.6
697.8
713.8
723.4
731.4
740.5
750.6
759.9
626.9
635.4
653.5
660.6
670.7
709.1
709.0
(K)
634.3
649.0
656.7
663.1
679.3
699.4
707.0
792.0
Tbulk
16016
15764
15317
15109
14970
14731
14507
14297
17832
17555
16994
16782
16493
15478
15481
0
16003
15763
15363
15134
14947
14740
14519
14322
17590
17129
16897
16711
16255
15722
15531
13681
Re (z)
Table SC-3242-D.1: Summary of Steam Cooling Data (cont.)
h (z)
411.61
416.80
487.40
407.17
391.39
405.85
409.14
413.74
407.72
414.80
518.60
431.70
404.88
409.19
426.54
447.90
435.73
464.02
366.59
356.78
356.23
372.64
526.32
(W/m2-K)
494.25
375.81
361.44
359.51
372.11
379.61
479.47
488.10
±σhtc
15.42
15.53
18.87
15.38
14.78
15.70
16.21
16.92
15.26
15.45
20.33
16.47
15.42
15.85
17.07
18.74
17.47
18.60
13.99
13.49
13.35
13.67
20.52
(W/m2-K)
20.10
14.46
13.75
13.59
13.92
14.02
18.36
26.92
Fractional
3.75%
3.72%
3.87%
3.78%
3.78%
3.87%
3.96%
4.09%
3.74%
3.72%
3.92%
3.82%
3.81%
3.87%
4.00%
4.18%
4.01%
4.01%
3.82%
3.78%
3.75%
3.67%
3.90%
Uncertainty
4.07%
3.85%
3.80%
3.78%
3.74%
3.69%
3.83%
5.52%
85.43
84.78
95.57
78.45
74.52
75.69
74.80
74.22
84.53
84.37
102.08
83.36
76.93
76.37
78.07
80.53
103.38
107.99
81.96
78.53
76.72
74.05
104.61
115.31
84.85
80.23
78.71
78.69
76.96
95.70
82.66
Nu(z)
A-346
169
170
171
172
173
174
175
176
89
90
91
92
93
94
95
96
121
122
123
124
125
126
127
128
RodB3_50.2
RodB3_54.1
RodB3_56.9
RodB3_60.1
RodB3_66.1
RodB3_69.9
RodB3_73
RodB3_75
RodF3_50.1
RodF3_54
RodF3_57
RodF3_60
RodF3_66.1
RodF3_70
RodF3_73
RodF3_75
RodE6_50.2
RodE6_54.1
RodE6_57
RodE6_60.2
RodE6_66.1
RodE6_70
RodE6_73.1
RodE6_75
1.275
1.374
1.448
1.529
1.679
1.778
1.857
1.905
1.273
1.372
1.448
1.524
1.679
1.778
1.854
1.905
1.275
1.374
1.445
1.527
1.679
1.775
1.854
1.905
(m)
1.273
1.372
1.445
1.521
1.676
1.773
1.852
1.902
Channel Elevation
Number
73
74
75
76
77
78
79
80
H.R.
Location
RodE2_50.1
RodE2_54
RodE2_56.9
RodE2_59.9
RodE2_66
RodE2_69.8
RodE2_72.9
RodE2_74.9
0.081
0.180
0.254
0.335
0.485
-0.022
0.056
0.105
0.079
0.178
0.254
0.330
0.485
-0.022
0.054
0.105
0.081
0.180
0.251
0.333
0.485
-0.025
0.054
0.105
(m)
0.079
0.178
0.251
0.328
0.483
-0.027
0.051
0.102
Zgrid
598.3
612.3
617.6
626.6
649.8
630.4
671.3
684.1
601.2
615.6
622.2
631.5
645.3
632.6
675.1
691.5
592.7
606.4
613.4
622.3
641.5
624.1
665.8
681.3
(K)
597.1
613.7
621.6
630.2
650.0
628.8
669.7
683.2
H.R.Tw
27292.4
28317.4
29079.9
29920.8
31472.1
32500.5
33312.3
33811.6
27307.5
28366.2
29180.9
29995.5
31651.4
32713.5
33523.5
34065.9
503.9
514.2
522.1
531.1
548.4
560.2
569.8
575.8
503.7
513.9
522.1
530.5
548.4
560.2
569.5
575.8
503.9
514.2
521.8
530.8
548.4
559.9
569.5
575.8
(K)
503.7
513.9
521.8
530.2
548.1
559.6
569.2
575.5
(W/m2)
27462.5
28509.8
29289.0
30095.2
31734.0
32757.3
33586.2
34123.8
27305.3
28341.6
29085.5
29936.3
31531.1
32542.7
33363.8
33894.0
Tcl
H.R. q''
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
519.7
530.5
538.0
547.0
565.3
571.9
586.7
593.9
519.9
530.9
538.8
547.3
564.5
572.3
587.1
595.1
518.7
529.5
537.1
546.0
563.9
570.6
585.6
593.4
(K)
519.3
530.5
538.4
546.9
565.1
571.1
586.0
593.4
Tbulk
22253
21710
21352
20934
20134
19858
19268
18997
22239
21694
21315
20918
20166
19843
19253
18950
22301
21759
21396
20978
20193
19912
19313
19014
22274
21710
21331
20939
20143
19890
19298
19012
Re (z)
Table SC-3242-D.1: Summary of Steam Cooling Data (cont.)
347.04
346.15
365.50
375.89
372.22
555.61
394.03
374.73
336.08
334.69
349.78
356.26
391.62
542.26
381.18
353.34
369.15
368.82
381.05
392.77
406.37
608.59
416.03
385.49
16.62
16.05
16.70
16.86
16.08
25.28
16.50
15.42
16.03
15.45
15.87
15.85
16.96
24.45
15.85
14.40
17.82
17.25
17.52
17.73
17.73
28.39
17.56
15.92
±σhtc
(W/m2-K)
16.87
15.83
15.96
16.09
16.09
25.92
16.79
15.64
h (z)
(W/m2-K)
352.67
342.79
352.10
361.28
373.39
568.05
400.91
380.24
Fractional
4.79%
4.64%
4.57%
4.48%
4.32%
4.55%
4.19%
4.12%
4.77%
4.62%
4.54%
4.45%
4.33%
4.51%
4.16%
4.07%
4.83%
4.68%
4.60%
4.51%
4.36%
4.66%
4.22%
4.13%
Uncertainty
4.78%
4.62%
4.53%
4.45%
4.31%
4.56%
4.19%
4.11%
106.72
103.56
107.31
107.90
102.14
150.02
102.66
95.99
103.28
100.05
102.50
102.18
107.66
146.28
99.22
90.25
113.78
110.61
112.14
113.02
111.89
164.85
108.69
98.85
108.56
102.55
103.26
103.74
102.51
153.67
104.64
97.50
Nu(z)
RBHT Steam Cooling Test SC-3248-A
Matrix test # 6
Test date – 8/11/2005
Steady state time window: 7700 - 8100 sec
Inlet flow: 2.26 m3/min (79.9 ft3/min)
Inlet steam temperature: 409 K (276 °F)
Upper plenum pressure: 271.7 kPa (39.4 psia)
Bundle power: 50.0 kW
Outlet steam temperature: 605 K (630 °F)
Bundle inlet Reynolds number: 9056
Subchannel Centerline Temperatures
The equations below were correlated using the axial subchannel centerline temperature
distribution. Experiment SC-3248 was run with the traversing probes withdrawn.
Centerline steam temperatures used are from experiment SC-3178-C.
Subchannels D5 and E5 (use for inner 3x3 rod bundle thermocouple locations)
Tcl = -14.71x3 + 93.998x2 - 37.575x + 438.03
Subchannel C5 (use for 5x5 peripheral rod bundle thermocouple locations)
Tcl = -10.559x3 + 70.797x2 - 9.6599x + 429.36
where x is the elevation (m) and Tcl is in (K)
A-347
A-348
A-349
A-350
Subchannels D5 and E5 Axial Temperature Profile
3
2
y = -14.71x + 93.998x - 37.575x + 438.03
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
Elevation (m )
A-351
2.5
3
3.5
4
Subchannel C5 Axial Temperature Profile
y = -10.559x3 + 70.797x2 - 9.6599x + 429.36
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
Elevation (m )
A-352
2.5
3
3.5
4
A-353
Channel
Number
185
186
187
188
189
190
191
192
233
234
235
236
237
238
239
240
241
242
243
244
248
201
202
204
205
208
193
194
195
196
197
198
199
200
H.R.
Location
RodD3_88.3
RodD3_91.3
RodD3_93.1
RodD3_95.3
RodD3_100.1
RodD3_106.1
RodD3_110
RodD3_142.1
RodC4_88.4
RodC4_91.1
RodC4_93.4
RodC4_95.3
RodC4_100.1
RodC4_106.1
RodC4_110
RodC4_142.2
RodD4_88.3
RodD4_91.3
RodD4_93.2
RodD4_95.2
RodD4_142.1
RodE4_88.4
RodE4_91.2
RodE4_95.3
RodE4_100.9
RodE4_142.3
RodE3_63.4
RodE3_113.6
RodE3_115.5
RodE3_118.5
RodE3_122.7
RodE3_126.5
RodE3_131.7
RodE3_135.6
1.610
2.885
2.934
3.010
3.117
3.213
3.345
3.444
2.245
2.316
2.421
2.563
3.614
2.243
2.319
2.367
2.418
3.609
2.245
2.314
2.372
2.421
2.543
2.695
2.794
3.612
(m)
2.243
2.319
2.365
2.421
2.543
2.695
2.794
3.609
Elevation
0.417
0.022
0.070
0.146
0.253
0.349
-0.046
0.053
-0.003
0.069
0.173
0.315
0.224
-0.005
0.071
0.119
0.170
0.218
-0.003
0.066
0.124
0.173
0.295
0.447
0.546
0.221
(m)
-0.005
0.071
0.117
0.173
0.295
0.447
0.546
0.218
Zgrid
647.9
813.0
826.7
839.1
846.2
847.7
827.8
840.2
716.4
749.4
781.1
808.1
850.0
720.7
755.2
770.5
782.9
854.3
715.7
748.9
765.7
779.1
802.1
823.7
804.9
856.4
(K)
709.3
747.9
764.3
779.8
805.8
826.7
809.0
846.0
H.R. Tw
10986.2
13534.8
13029.0
12228.9
11119.7
10109.9
8731.0
7700.7
13268.3
13526.1
13899.9
14414.5
5474.7
13469.1
13758.0
13942.4
14134.8
5426.7
559.8
758.8
765.4
775.4
788.6
799.8
813.5
822.7
661.0
672.5
689.2
711.5
835.6
660.6
672.9
680.7
688.8
835.3
661.0
672.1
681.5
689.2
708.4
731.5
746.0
835.4
(K)
660.6
672.9
680.3
689.2
708.4
731.5
746.0
835.3
(W/m2)
13360.0
13642.2
13812.6
14020.5
14476.3
15044.2
14857.0
5164.3
13516.3
13779.0
14000.6
14187.1
14646.2
15225.9
14737.6
5611.6
Tcl
H.R. q''
1.20
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.20
1.20
1.20
1.20
1.27
1.20
1.20
1.20
1.20
1.27
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.27
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.27
Correction
574.5
770.4
778.5
789.0
801.0
810.0
816.6
826.4
670.3
685.4
704.5
727.6
838.7
670.6
686.6
695.7
704.5
839.4
670.1
684.9
695.5
704.2
724.0
746.9
755.8
839.9
(K)
668.7
685.4
694.3
704.3
724.6
747.4
756.5
837.6
Tbulk
6950
4963
4906
4834
4755
4697
4655
4595
5808
5662
5487
5290
4522
5804
5649
5566
5487
4518
5809
5666
5567
5490
5320
5137
5070
4515
5823
5661
5578
5488
5315
5133
5065
4529
Re (z)
Table SC-3248-A.1: Summary of Steam Cooling Data
h (z)
149.79
317.96
270.37
244.23
245.89
268.54
779.69
559.82
287.67
211.07
181.45
179.07
484.96
269.13
200.79
186.29
180.18
363.29
296.95
215.40
199.64
189.44
187.48
198.33
300.44
341.59
(W/m2-K)
329.29
218.53
197.24
185.74
178.20
189.62
282.78
614.20
±σhtc
11.31
19.69
16.28
14.59
14.98
17.13
99.69
60.78
17.33
11.60
9.34
8.69
61.70
15.81
10.83
9.75
9.19
37.26
17.80
11.75
10.50
9.69
9.12
9.19
15.20
32.68
(W/m2-K)
20.49
12.00
10.46
9.55
8.67
8.78
13.99
100.80
Fractional
7.55%
6.19%
6.02%
5.97%
6.09%
6.38%
12.79%
10.86%
6.02%
5.50%
5.15%
4.85%
12.72%
5.87%
5.40%
5.23%
5.10%
10.26%
6.00%
5.45%
5.26%
5.12%
4.87%
4.63%
5.06%
9.57%
Uncertainty
6.22%
5.49%
5.30%
5.14%
4.86%
4.63%
4.95%
16.41%
40.19
56.04
46.94
41.58
40.97
44.02
126.32
89.14
62.01
44.06
36.40
34.28
75.59
57.97
41.80
38.06
36.15
56.56
64.03
45.00
40.80
38.03
36.15
36.56
54.44
53.13
71.21
45.61
40.41
37.28
34.32
34.92
51.17
95.92
Nu(z)
A-354
177
178
179
180
181
182
183
217
218
219
220
221
222
223
224
RodC3_79.8
RodC3_85.6
RodC3_88.5
RodC3_92.4
RodC3_94.4
RodC3_97.2
RodC3_108.8
RodD5_50
RodD5_54.1
RodD5_56.9
RodD5_60
RodD5_66.1
RodD5_69.9
RodD5_72.9
RodD5_74.9
1.270
1.374
1.445
1.524
1.679
1.775
1.852
1.902
2.027
2.174
2.248
2.347
2.398
2.469
2.764
1.615
2.885
2.931
3.015
3.114
3.216
3.343
3.444
209
210
211
212
213
214
215
216
RodE5_63.6
RodE5_113.6
RodE5_115.4
RodE5_118.7
RodE5_122.6
RodE5_126.6
RodE5_131.6
RodE5_135.6
Elevation
(m)
1.618
2.885
2.939
3.117
3.218
3.343
3.447
Channel
Location
Number
RodC5_63.7
225
RodC5_113.6
226
RodC5_115.7
227
RodC5_122.7
229
RodC5_126.7
230
RodC5_131.6
231
RodC5_135.7
232
H.R.
0.076
0.180
0.251
0.330
0.485
-0.025
0.051
0.102
0.227
0.374
0.000
0.099
0.150
0.221
0.516
0.422
0.022
0.067
0.151
0.250
0.352
-0.048
0.053
(m)
0.424
0.022
0.075
0.253
0.354
-0.048
0.056
Zgrid
595.3
620.4
633.2
643.6
659.0
637.1
673.8
692.1
712.5
703.4
706.7
751.6
765.2
781.5
816.2
647.5
811.1
820.8
830.7
840.7
846.1
825.7
838.5
(K)
651.0
815.3
834.0
856.5
858.7
839.8
850.4
H.R. Tw
9764.6
10154.4
10417.9
10707.5
11279.6
11632.3
11912.4
12103.3
12494.8
13038.8
13311.8
13674.2
13861.9
14122.5
14887.3
11064.7
13634.7
13166.6
12304.9
11289.9
10248.1
8931.8
7880.5
(W/m )
10772.7
13209.5
12683.0
10922.8
9919.4
8685.7
7644.8
2
H.R. q''
511.8
525.7
535.7
547.0
570.3
585.3
597.3
605.5
625.6
649.5
661.5
677.4
685.6
696.8
741.6
560.6
758.8
765.0
776.0
788.3
800.0
813.3
822.7
(K)
561.0
758.8
766.1
788.6
800.3
813.3
822.9
Tcl
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.27
1.27
1.27
1.27
1.27
1.27
1.27
Factor
1.20
1.27
1.27
1.27
1.27
1.27
1.27
Correction
525.7
541.5
551.9
563.1
585.1
593.9
610.1
619.9
640.0
658.5
669.0
689.8
698.8
711.0
754.0
575.1
770.0
777.0
787.8
799.5
809.9
816.0
826.1
(K)
576.0
770.9
780.6
803.2
812.8
819.0
828.8
Tbulk
6125
5927
5820
5620
5537
5430
5083
0
7723
7455
7288
7117
6802
6683
6476
6357
6929
4959
4891
4740
4679
4640
4581
0
6942
4966
4917
4842
4764
4697
4659
4597
Re (z)
Table SC-3248-A.1: Summary of Steam Cooling Data (cont.)
140.35
128.75
128.11
133.01
152.55
269.49
186.99
167.67
172.36
290.49
352.87
221.35
208.81
200.23
239.48
152.90
332.18
300.33
286.24
274.49
283.28
914.07
631.92
(W/m -K)
143.68
297.54
237.54
204.71
216.42
416.51
353.66
2
h (z)
12.88
11.05
10.53
10.46
11.08
19.81
12.59
10.88
10.57
18.07
22.48
12.08
11.05
10.22
11.43
11.48
20.73
18.43
17.63
17.07
18.25
131.03
73.95
(W/m -K)
10.98
18.32
14.10
12.12
13.17
34.25
28.45
2
±σhtc
9.18%
8.58%
8.22%
7.86%
7.26%
7.35%
6.73%
6.49%
6.13%
6.22%
6.37%
5.46%
5.29%
5.10%
4.77%
7.51%
6.24%
6.14%
6.16%
6.22%
6.44%
14.33%
11.70%
Uncertainty
7.64%
6.16%
5.94%
5.92%
6.08%
8.22%
8.05%
Fractional
42.50
37.47
36.33
36.69
39.90
69.02
46.11
40.42
39.70
64.24
76.27
45.78
42.38
39.64
43.54
40.97
58.59
52.29
48.85
45.85
46.44
148.25
100.68
38.41
52.39
41.08
33.97
35.30
67.19
56.08
Nu(z)
A-355
105
106
107
108
109
110
111
112
57
58
59
60
61
62
63
64
137
138
139
140
141
142
143
144
RodF5_41
RodF5_53.1
RodF5_55
RodF5_57.8
RodF5_64
RodF5_73.8
RodF5_75.8
RodF5_76.8
RodC2_41
RodC2_53.1
RodC2_55
RodC2_57.8
RodC2_63.9
RodC2_73.8
RodC2_75.8
RodC2_76.8
RodC6_40.9
RodC6_52.8
RodC6_54.8
RodC6_57.8
RodC6_63.8
RodC6_73.7
RodC6_75.8
RodC6_76.8
Channel
Number
153
154
155
156
157
158
159
160
H.R.
Location
RodB5_41
RodB5_52.9
RodB5_55
RodB5_57.8
RodB5_64
RodB5_73.9
RodB5_75.9
RodB5_76.9
1.039
1.341
1.392
1.468
1.621
1.872
1.925
1.951
1.041
1.349
1.397
1.468
1.623
1.875
1.925
1.951
1.041
1.349
1.397
1.468
1.626
1.875
1.925
1.951
(m)
1.041
1.344
1.397
1.468
1.626
1.877
1.928
1.953
Elevation
0.340
0.147
0.198
0.274
0.427
0.072
0.125
0.150
0.343
0.155
0.203
0.274
0.429
0.074
0.125
0.150
0.343
0.155
0.203
0.274
0.432
0.074
0.125
0.150
(m)
0.343
0.150
0.203
0.274
0.432
0.077
0.128
0.153
Zgrid
568.8
610.9
620.6
633.8
651.0
678.9
688.5
695.9
551.1
565.9
611.0
618.1
629.1
639.1
678.2
683.7
566.4
606.3
615.4
626.5
641.8
667.5
683.4
689.9
(K)
568.9
611.0
620.5
633.2
650.4
679.5
693.8
700.1
H.R. Tw
8818.4
9994.5
10189.8
10484.7
11077.0
12058.6
12267.2
12362.5
8855.1
10000.1
10177.1
10441.3
11019.6
11958.0
12144.3
12245.0
483.9
518.3
524.6
534.4
554.7
590.1
597.8
601.5
484.2
519.2
525.2
534.4
555.0
590.5
597.8
601.5
484.2
519.2
525.2
534.4
555.4
590.5
597.8
601.5
(K)
484.2
518.6
525.2
534.4
555.4
590.8
598.2
601.9
(W/m2)
8867.4
9994.3
10195.0
10457.5
11048.2
11984.7
12171.9
12270.1
8810.6
9956.0
10133.7
10393.8
10989.5
11919.1
12107.1
12200.5
Tcl
H.R. q''
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
498.0
533.7
540.6
550.9
570.7
604.9
612.9
617.3
495.3
527.0
539.5
548.3
567.4
598.6
611.2
615.2
497.9
533.7
540.3
549.7
569.8
603.3
612.1
616.3
(K)
498.3
534.0
541.1
550.8
571.2
605.6
614.1
618.3
Tbulk
8239
7585
7470
7304
7004
6541
6441
6388
8293
7700
7487
7345
7053
6622
6462
6413
8242
7585
7475
7323
7018
6562
6451
6401
8234
7580
7461
7305
6997
6532
6426
6376
Re (z)
Table SC-3248-A.1: Summary of Steam Cooling Data (cont.)
h (z)
124.62
129.44
127.40
126.49
137.98
162.96
162.42
157.16
158.67
257.02
142.40
149.60
178.52
294.97
181.45
178.93
128.62
137.22
134.85
135.33
152.58
185.73
169.78
165.73
(W/m2-K)
125.61
129.72
128.38
127.01
139.59
162.28
152.78
149.93
±σhtc
13.32
11.37
10.84
10.27
10.28
10.67
10.34
9.85
17.05
23.80
12.17
12.28
13.56
21.06
11.75
11.42
13.76
12.09
11.53
11.10
11.48
12.41
10.95
10.53
(W/m2-K)
13.35
11.38
10.90
10.33
10.41
10.66
9.72
9.40
Fractional
10.69%
8.78%
8.51%
8.12%
7.45%
6.55%
6.36%
6.27%
10.74%
9.26%
8.54%
8.21%
7.60%
7.14%
6.48%
6.38%
10.70%
8.81%
8.55%
8.20%
7.52%
6.68%
6.45%
6.35%
Uncertainty
10.63%
8.78%
8.49%
8.13%
7.46%
6.57%
6.36%
6.27%
40.49
38.41
37.16
35.96
37.36
40.67
39.78
38.11
51.92
77.58
41.65
42.80
48.73
74.72
44.62
43.60
41.81
40.72
39.37
38.58
41.41
46.53
41.67
40.29
40.79
38.47
37.40
36.11
37.75
40.43
37.32
36.28
Nu(z)
A-356
Channel
Number
161
162
163
164
165
166
167
168
98
99
100
101
102
103
104
65
66
67
68
69
70
71
72
129
130
131
132
133
134
135
136
H.R.
Location
RodB4_88.4
RodB4_91.3
RodB4_93.3
RodB4_95.1
RodB4_100
RodB4_106
RodB4_109.9
RodB4_142.3
RodF4_85.6
RodF4_88.4
RodF4_92.4
RodF4_94.3
RodF4_97.2
RodF4_108.8
RodF4_111
RodD2_103.2
RodD2_106
RodD2_112.6
RodD2_114.9
RodD2_117.4
RodD2_120.8
RodD2_124.8
RodD2_128.6
RodD6_103.1
RodD6_106
RodD6_112.9
RodD6_114.9
RodD6_116.8
RodD6_120.9
RodD6_124.8
RodD6_128.7
2.619
2.692
2.868
2.918
2.967
3.071
3.170
3.269
2.621
2.692
2.860
2.918
2.982
3.068
3.170
3.266
2.174
2.245
2.347
2.395
2.469
2.764
2.819
(m)
2.245
2.319
2.370
2.416
2.540
2.692
2.791
3.614
Elevation
0.371
0.445
0.004
0.055
0.103
0.207
0.306
0.405
0.373
0.445
-0.004
0.055
0.118
0.204
0.306
0.403
0.374
-0.003
0.099
0.147
0.221
0.516
-0.044
(m)
-0.003
0.071
0.122
0.168
0.292
0.445
0.544
0.224
Zgrid
801.8
808.1
795.1
813.4
826.2
836.9
843.8
843.5
792.6
798.3
782.7
803.2
815.0
829.5
834.2
833.5
705.9
708.8
750.1
763.9
779.7
814.4
789.7
(K)
710.8
746.1
761.7
773.2
798.6
814.4
794.2
851.5
H.R. Tw
14827.6
15097.6
13786.9
13215.6
12678.4
11521.5
10421.9
9326.6
14797.5
15061.4
13816.4
13171.7
12470.7
11517.7
10396.1
9335.7
699.9
710.5
734.8
741.7
748.1
761.5
773.8
785.5
700.3
710.5
733.8
741.7
750.1
761.2
773.8
785.2
634.5
645.1
660.1
667.3
678.1
720.5
728.2
(K)
645.1
656.0
663.5
670.3
688.5
710.5
724.4
820.7
(W/m2)
13253.8
13518.6
13703.5
13861.7
14313.5
14861.5
14385.7
5570.3
13080.8
13334.8
13712.2
13891.9
14169.5
14959.9
14348.5
Tcl
H.R. q''
1.20
1.20
1.20
1.20
1.20
1.27
1.27
1.27
1.20
1.20
1.20
1.20
1.20
1.27
1.27
1.27
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.27
Correction
716.9
726.7
744.9
753.6
761.1
777.7
788.8
797.9
715.7
725.1
742.0
751.9
760.9
775.8
786.7
795.5
646.4
655.7
675.1
683.4
695.1
736.1
738.5
(K)
656.0
671.0
679.9
687.4
706.9
727.8
736.0
827.3
Tbulk
5379
5297
5153
5086
5030
4912
4835
4775
6055
5956
5760
5680
5571
5221
5203
0
5390
5311
5176
5099
5032
4925
4849
4790
5953
5800
5714
5642
5466
5289
5222
4590
Re (z)
Table SC-3248-A.1: Summary of Steam Cooling Data (cont.)
h (z)
174.73
185.49
274.61
221.14
194.85
194.53
189.44
204.47
192.46
205.67
338.96
256.90
230.61
214.69
218.81
245.61
219.78
251.22
182.91
172.58
167.42
191.08
280.26
(W/m2-K)
242.06
180.01
167.54
161.62
156.11
171.64
247.07
230.52
±σhtc
8.21
8.55
13.83
10.64
9.21
11.31
11.14
12.46
9.17
9.64
18.36
12.88
11.39
12.68
13.22
15.68
12.91
14.64
9.70
8.90
8.34
8.74
14.03
(W/m2-K)
14.06
9.68
8.74
8.24
7.53
7.90
12.02
17.54
Fractional
4.70%
4.61%
5.04%
4.81%
4.73%
5.81%
5.88%
6.09%
4.76%
4.69%
5.42%
5.01%
4.94%
5.91%
6.04%
6.38%
5.87%
5.83%
5.30%
5.16%
4.98%
4.57%
5.01%
Uncertainty
5.81%
5.38%
5.22%
5.10%
4.83%
4.60%
4.86%
7.61%
34.18
35.58
50.82
40.24
34.95
33.82
32.27
34.26
37.74
39.57
63.09
46.90
41.38
37.46
37.41
41.33
49.90
55.89
39.02
36.17
34.25
35.97
52.52
53.81
38.74
35.38
33.59
31.17
32.85
46.52
36.65
Nu(z)
A-357
169
170
171
172
173
174
175
176
89
90
91
92
93
94
95
96
121
122
123
124
125
126
127
128
RodB3_50.2
RodB3_54.1
RodB3_56.9
RodB3_60.1
RodB3_66.1
RodB3_69.9
RodB3_73
RodB3_75
RodF3_50.1
RodF3_54
RodF3_57
RodF3_60
RodF3_66.1
RodF3_70
RodF3_73
RodF3_75
RodE6_50.2
RodE6_54.1
RodE6_57
RodE6_60.2
RodE6_66.1
RodE6_70
RodE6_73.1
RodE6_75
Channel
Number
73
74
75
76
77
78
79
80
H.R.
Location
RodE2_50.1
RodE2_54
RodE2_56.9
RodE2_59.9
RodE2_66
RodE2_69.8
RodE2_72.9
RodE2_74.9
1.275
1.374
1.448
1.529
1.679
1.778
1.857
1.905
1.273
1.372
1.448
1.524
1.679
1.778
1.854
1.905
1.275
1.374
1.445
1.527
1.679
1.775
1.854
1.905
(m)
1.273
1.372
1.445
1.521
1.676
1.773
1.852
1.902
Elevation
0.081
0.180
0.254
0.335
0.485
-0.022
0.056
0.105
0.079
0.178
0.254
0.330
0.485
-0.022
0.054
0.105
0.081
0.180
0.251
0.333
0.485
-0.025
0.054
0.105
(m)
0.079
0.178
0.251
0.328
0.483
-0.027
0.051
0.102
Zgrid
588.3
609.8
621.8
631.9
646.4
628.0
661.3
676.8
592.9
613.7
625.5
634.2
641.3
628.6
662.8
680.8
586.6
604.9
617.1
625.8
640.5
623.8
660.8
677.2
(K)
588.1
611.0
624.4
634.8
646.3
625.5
658.2
669.9
H.R. Tw
9723.1
10090.3
10361.3
10660.1
11214.9
11582.6
11866.6
12045.9
9725.7
10100.5
10389.7
10684.7
11271.2
11647.8
11938.2
12129.6
510.3
522.4
531.7
542.4
562.7
576.6
587.9
594.9
510.0
522.1
531.7
541.7
562.7
576.6
587.5
594.9
510.3
522.4
531.4
542.0
562.7
576.3
587.5
594.9
(K)
510.0
522.1
531.4
541.4
562.4
575.9
587.2
594.5
(W/m2)
9783.2
10154.3
10431.7
10719.2
11302.8
11668.1
11961.9
12154.0
9728.0
10095.5
10360.6
10661.9
11230.8
11593.6
11887.8
12070.7
Tcl
H.R. q''
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
523.3
536.9
546.7
557.3
576.7
585.2
600.1
608.5
523.8
537.3
547.4
557.1
575.8
585.3
600.1
609.2
523.0
536.1
545.7
556.0
575.7
584.2
599.8
608.6
(K)
523.0
536.9
546.9
556.9
576.4
584.2
599.0
607.1
Tbulk
7766
7531
7370
7205
6919
6801
6602
6496
7757
7524
7360
7208
6931
6799
6603
6487
7771
7544
7387
7225
6933
6814
6607
6495
7771
7531
7368
7210
6924
6815
6617
6514
Re (z)
Table SC-3248-A.1: Summary of Steam Cooling Data (cont.)
h (z)
149.57
138.50
138.04
142.82
160.84
270.44
193.96
176.57
140.74
132.25
133.01
138.62
172.17
268.89
190.25
169.35
152.92
146.84
145.16
152.80
173.22
293.09
194.66
175.96
(W/m2-K)
150.30
136.95
134.66
137.73
161.56
282.71
202.13
193.46
±σhtc
13.80
11.98
11.43
11.29
11.76
19.95
13.13
11.54
12.96
11.42
10.97
10.94
12.60
19.73
12.80
10.97
14.12
12.74
12.06
12.13
12.72
21.96
13.17
11.48
(W/m2-K)
13.81
11.79
11.08
10.84
11.75
20.94
13.68
12.69
Fractional
9.23%
8.65%
8.28%
7.91%
7.31%
7.38%
6.77%
6.54%
9.21%
8.63%
8.24%
7.89%
7.32%
7.34%
6.73%
6.48%
9.23%
8.67%
8.31%
7.94%
7.34%
7.49%
6.77%
6.52%
Uncertainty
9.19%
8.61%
8.23%
7.87%
7.27%
7.41%
6.77%
6.56%
45.58
40.77
39.65
39.97
42.93
70.71
48.95
43.70
42.83
38.89
38.15
38.81
46.05
70.29
48.02
41.84
46.63
43.32
41.81
42.90
46.34
76.82
49.17
43.54
45.83
40.32
38.67
38.58
43.15
74.11
51.15
48.04
Nu(z)
RBHT Steam Cooling Test SC-3248-B
Matrix test # 5
Test date – 8/11/2005
Steady state time window: 24100 - 24400 sec
Inlet flow: 1.81 m3/min (64.1 ft3/min)
Inlet steam temperature: 413 K (284 °F)
Upper plenum pressure: 271.7 kPa (39.4 psia)
Bundle power: 40.0 kW
Outlet steam temperature: 580 K (585 °F)
Bundle inlet Reynolds number: 7089
Subchannel Centerline Temperatures
The equations below were correlated using the axial subchannel centerline temperature
distribution. . Experiment SC-3248 was run with the traversing probes withdrawn.
Centerline steam temperatures used are from experiment SC-3163-B.
Subchannels D5 and E5 (use for inner 3x3 rod bundle thermocouple locations)
Tcl = -16.261x3 + 100.93x2 - 49.657x + 438.59
Subchannel C5 (use for 5x5 peripheral rod bundle thermocouple locations)
Tcl = -9.6585x3 + 64.419x2 - 2.3145x + 422.76
where x is the elevation (m) and Tcl is in (K)
A-358
A-359
A-360
A-361
Subchannels D5 and E5 Axial Temperature Profile
2
y = -16.261x3 + 100.93x - 49.657x + 438.59
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
Elevation (m )
A-362
2.5
3
3.5
4
Subchannel C5 Axial Temperature Profile
y = -9.6585x3 + 64.419x2 - 2.3145x + 422.76
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
Elevation (m )
A-363
2.5
3
3.5
4
A-364
Channel
Number
185
186
187
188
189
190
191
192
233
234
235
236
237
238
239
240
241
242
243
244
248
201
202
204
205
208
193
194
195
196
197
198
199
200
H.R.
Location
RodD3_88.3
RodD3_91.3
RodD3_93.1
RodD3_95.3
RodD3_100.1
RodD3_106.1
RodD3_110
RodD3_142.1
RodC4_88.4
RodC4_91.1
RodC4_93.4
RodC4_95.3
RodC4_100.1
RodC4_106.1
RodC4_110
RodC4_142.2
RodD4_88.3
RodD4_91.3
RodD4_93.2
RodD4_95.2
RodD4_142.1
RodE4_88.4
RodE4_91.2
RodE4_95.3
RodE4_100.9
RodE4_142.3
RodE3_63.4
RodE3_113.6
RodE3_115.5
RodE3_118.5
RodE3_122.7
RodE3_126.5
RodE3_131.7
RodE3_135.6
1.610
2.885
2.934
3.010
3.117
3.213
3.345
3.444
2.245
2.316
2.421
2.563
3.614
2.243
2.319
2.367
2.418
3.609
2.245
2.314
2.372
2.421
2.543
2.695
2.794
3.612
(m)
2.243
2.319
2.365
2.421
2.543
2.695
2.794
3.609
Elevation
0.417
0.022
0.070
0.146
0.253
0.349
-0.046
0.053
-0.003
0.069
0.173
0.315
0.224
-0.005
0.071
0.119
0.170
0.218
-0.003
0.066
0.124
0.173
0.295
0.447
0.546
0.221
(m)
-0.005
0.071
0.117
0.173
0.295
0.447
0.546
0.218
Zgrid
646.5
806.0
818.3
829.9
837.9
839.5
820.2
829.5
710.4
739.4
769.4
794.9
837.2
714.3
744.7
759.2
771.1
841.6
707.6
736.7
752.4
764.7
787.9
810.3
795.8
841.4
(K)
703.6
738.4
753.5
767.7
792.5
813.3
799.8
834.6
H.R.Tw
8810.9
10863.7
10461.7
9822.4
8930.4
8123.8
7024.3
6190.3
10646.8
10855.6
11153.7
11565.9
4399.4
10810.4
11046.6
11191.0
11346.1
4362.2
552.5
745.0
751.0
760.1
772.0
781.7
793.2
800.5
651.9
663.0
679.2
700.6
809.9
651.5
663.4
670.9
678.8
809.7
651.9
662.6
671.7
679.2
697.5
719.5
733.1
809.8
(K)
651.5
663.4
670.6
679.2
697.5
719.5
733.1
809.7
(W/m2)
10729.1
10956.4
11091.1
11261.5
11623.7
12081.4
11933.0
4157.3
10847.9
11059.0
11236.1
11386.6
11762.3
12225.7
11827.3
4505.9
Tcl
H.R. q''
1.20
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
Factor
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
Correction
568.1
758.1
765.4
775.1
786.1
794.1
799.0
806.7
664.4
679.4
698.5
720.7
815.7
664.9
680.8
689.9
698.5
816.5
663.8
678.5
689.0
697.5
716.9
739.0
746.5
816.5
(K)
662.6
679.5
688.3
698.1
717.9
739.6
747.4
815.0
Tbulk
5579
4003
3960
3906
3846
3803
3777
3737
4648
4530
4389
4236
3692
4643
4519
4452
4389
3689
4653
4537
4458
4397
4262
4119
4072
3688
4662
4530
4463
4392
4255
4115
4067
3696
Re (z)
Table SC-3248-B.1: Summary of Steam Cooling Data
h (z)
112.38
226.67
197.94
179.23
172.40
178.73
331.93
271.63
231.37
180.84
157.30
156.06
205.05
218.90
173.03
161.29
156.39
173.68
247.84
190.03
177.29
169.29
165.72
171.35
239.99
181.37
(W/m2-K)
261.82
186.07
170.09
161.85
155.80
163.90
227.61
212.40
±σhtc
10.06
14.36
12.32
11.09
10.74
11.38
27.75
21.81
17.23
12.71
10.49
9.88
17.12
16.04
11.99
10.91
10.35
13.47
18.44
13.29
12.04
11.24
10.51
10.37
15.07
14.05
(W/m2-K)
19.81
13.04
11.61
10.77
9.89
9.93
14.11
18.84
Fractional
8.95%
6.33%
6.23%
6.19%
6.23%
6.37%
8.36%
8.03%
7.45%
7.03%
6.67%
6.33%
8.35%
7.33%
6.93%
6.76%
6.62%
7.76%
7.44%
7.00%
6.79%
6.64%
6.34%
6.05%
6.28%
7.74%
Uncertainty
7.56%
7.01%
6.83%
6.65%
6.35%
6.06%
6.20%
8.87%
30.62
40.90
35.22
31.32
29.51
30.15
55.50
44.79
50.51
38.23
31.95
30.29
33.27
47.73
36.47
33.35
31.76
28.14
54.17
40.25
36.73
34.46
32.42
32.08
44.27
29.39
57.37
39.33
35.29
32.90
30.42
30.64
41.92
34.51
Nu(z)
A-365
Number
225
226
227
229
230
231
232
209
210
211
212
213
214
215
216
177
178
179
180
181
182
183
217
218
219
220
221
222
223
224
RodE5_63.6
RodE5_113.6
RodE5_115.4
RodE5_118.7
RodE5_122.6
RodE5_126.6
RodE5_131.6
RodE5_135.6
RodC3_79.8
RodC3_85.6
RodC3_88.5
RodC3_92.4
RodC3_94.4
RodC3_97.2
RodC3_108.8
RodD5_50
RodD5_54.1
RodD5_56.9
RodD5_60
RodD5_66.1
RodD5_69.9
RodD5_72.9
RodD5_74.9
1.270
1.374
1.445
1.524
1.679
1.775
1.852
1.902
2.027
2.174
2.248
2.347
2.398
2.469
2.764
1.615
2.885
2.931
3.015
3.114
3.216
3.343
3.444
(m)
1.618
2.885
2.939
3.117
3.218
3.343
3.447
Channel Elevation
Location
RodC5_63.7
RodC5_113.6
RodC5_115.7
RodC5_122.7
RodC5_126.7
RodC5_131.6
RodC5_135.7
H.R.
0.076
0.180
0.251
0.330
0.485
-0.025
0.051
0.102
0.227
0.374
0.000
0.099
0.150
0.221
0.516
0.422
0.022
0.067
0.151
0.250
0.352
-0.048
0.053
(m)
0.424
0.022
0.075
0.253
0.354
-0.048
0.056
Zgrid
590.9
616.4
630.1
642.4
655.4
634.7
667.7
684.5
699.4
697.4
698.7
738.2
750.9
765.5
800.6
647.3
802.7
811.2
818.6
826.4
831.8
817.9
827.8
(K)
647.6
803.1
818.8
839.1
841.1
827.6
836.1
H.R.Tw
7835.3
8148.3
8358.3
8589.3
9051.5
9332.0
9560.0
9710.3
10031.0
10469.8
10686.7
10980.1
11131.7
11339.3
11957.1
8884.3
10950.2
10575.6
9880.2
9061.9
8227.5
7177.9
6335.9
(W/m )
8647.4
10606.6
10181.2
8768.7
7960.8
6972.2
6141.7
2
H.R. q''
505.0
518.7
528.6
539.8
562.8
577.6
589.5
597.5
617.2
640.6
652.3
667.8
675.7
686.5
729.0
553.2
745.0
750.7
760.7
771.7
781.9
793.0
800.5
(K)
553.6
745.0
751.7
772.0
782.1
793.0
800.7
Tcl
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.20
1.27
1.27
1.27
1.27
1.27
1.27
1.27
Factor
1.20
1.27
1.27
1.27
1.27
1.27
1.27
Correction
519.3
535.0
545.5
556.9
578.2
587.1
602.5
612.0
634.8
652.8
662.2
682.9
691.8
703.4
744.3
568.9
757.4
763.7
773.1
783.4
792.6
798.4
806.4
(K)
569.3
757.5
766.0
786.3
794.8
800.4
808.3
Tbulk
6208
5992
5855
5713
5465
5367
5207
5112
4899
4743
4665
4504
4438
4355
4086
5570
4007
3971
3917
3860
3811
3780
3739
5566
4007
3957
3844
3799
3770
3730
Re (z)
Table SC-3248-B.1: Summary of Steam Cooling Data (cont.)
109.43
100.12
98.81
100.48
117.24
196.21
146.64
133.81
155.35
234.51
292.90
198.35
188.19
182.75
212.45
113.26
241.39
222.47
217.23
210.69
209.85
367.41
296.02
(W/m -K)
110.43
232.30
192.99
166.15
171.79
256.60
220.40
2
h (z)
12.11
10.32
9.73
9.43
10.05
16.49
11.49
10.12
12.21
17.99
22.67
13.88
12.84
12.11
13.10
10.05
15.42
14.07
13.84
13.56
13.77
32.05
24.48
(W/m -K)
10.02
14.94
12.09
10.37
10.94
19.07
16.16
2
±σhtc
11.06%
10.31%
9.85%
9.38%
8.57%
8.40%
7.84%
7.56%
7.86%
7.67%
7.74%
7.00%
6.82%
6.62%
6.17%
8.88%
6.39%
6.32%
6.37%
6.43%
6.56%
8.72%
8.27%
Uncertainty
9.07%
6.43%
6.27%
6.24%
6.37%
7.43%
7.33%
Fractional
33.68
29.61
28.47
28.15
31.18
51.07
36.80
32.85
36.20
52.51
64.24
41.62
38.76
36.74
39.36
30.81
43.61
39.71
38.09
36.25
35.50
61.50
48.84
30.01
41.96
34.30
28.43
28.94
42.79
36.24
Nu(z)
A-366
105
106
107
108
109
110
111
112
57
58
59
60
61
62
63
64
137
138
139
140
141
142
143
144
RodF5_41
RodF5_53.1
RodF5_55
RodF5_57.8
RodF5_64
RodF5_73.8
RodF5_75.8
RodF5_76.8
RodC2_41
RodC2_53.1
RodC2_55
RodC2_57.8
RodC2_63.9
RodC2_73.8
RodC2_75.8
RodC2_76.8
RodC6_40.9
RodC6_52.8
RodC6_54.8
RodC6_57.8
RodC6_63.8
RodC6_73.7
RodC6_75.8
RodC6_76.8
Channel
Number
153
154
155
156
157
158
159
160
H.R.
Location
RodB5_41
RodB5_52.9
RodB5_55
RodB5_57.8
RodB5_64
RodB5_73.9
RodB5_75.9
RodB5_76.9
1.039
1.341
1.392
1.468
1.621
1.872
1.925
1.951
1.041
1.349
1.397
1.468
1.623
1.875
1.925
1.951
1.041
1.349
1.397
1.468
1.626
1.875
1.925
1.951
(m)
1.041
1.344
1.397
1.468
1.626
1.877
1.928
1.953
Elevation
0.340
0.147
0.198
0.274
0.427
0.072
0.125
0.150
0.343
0.155
0.203
0.274
0.429
0.074
0.125
0.150
0.343
0.155
0.203
0.274
0.432
0.074
0.125
0.150
(m)
0.343
0.150
0.203
0.274
0.432
0.077
0.128
0.153
Zgrid
567.2
604.7
614.5
627.8
645.0
669.1
678.6
685.5
547.7
561.4
603.4
610.8
622.3
635.6
665.1
669.9
565.4
601.2
610.6
622.1
637.8
658.9
673.6
679.7
(K)
564.0
602.7
612.0
625.2
644.6
668.0
682.0
688.2
H.R.Tw
7072.0
8018.3
8173.0
8411.2
8889.7
9673.8
9838.7
9918.6
7108.3
8046.0
8195.3
8411.0
8876.5
9628.9
9775.3
9852.9
479.1
512.2
518.3
527.6
547.1
580.8
588.2
591.7
479.3
513.1
518.9
527.6
547.4
581.2
588.2
591.7
479.3
513.1
518.9
527.6
547.7
581.2
588.2
591.7
(K)
479.3
512.5
518.9
527.6
547.7
581.5
588.5
592.0
(W/m2)
7121.4
8025.0
8185.1
8398.6
8872.3
9622.9
9776.7
9854.5
7069.2
7986.6
8131.8
8345.1
8817.2
9562.5
9714.7
9789.1
Tcl
H.R. q''
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
493.7
527.6
534.3
544.3
563.4
595.5
603.2
607.3
490.7
521.2
533.0
541.5
559.9
590.2
601.0
604.7
493.7
527.8
534.2
543.4
562.8
594.1
602.4
606.4
(K)
493.4
527.5
534.4
543.9
563.9
595.9
604.1
608.1
Tbulk
6595
6092
6001
5870
5635
5278
5199
5158
6645
6182
6019
5906
5677
5334
5222
5184
6597
6089
6003
5882
5643
5293
5208
5168
6601
6093
6000
5875
5629
5274
5191
5151
Re (z)
Table SC-3248-B.1: Summary of Steam Cooling Data (cont.)
h (z)
96.24
104.02
101.90
100.82
108.90
131.45
130.48
126.89
124.72
199.96
116.40
121.37
142.23
212.41
152.48
151.18
98.51
108.78
106.44
105.99
117.49
147.62
136.47
133.42
(W/m2-K)
100.90
106.83
105.54
103.36
109.88
133.48
125.51
123.02
±σhtc
12.51
11.01
10.43
9.81
9.63
10.06
9.67
9.25
16.24
21.82
11.91
11.88
12.74
17.04
11.49
11.22
12.81
11.54
10.93
10.40
10.48
11.49
10.25
9.86
(W/m2-K)
13.04
11.30
10.78
10.08
9.72
10.25
9.32
8.99
Fractional
13.00%
10.58%
10.23%
9.73%
8.84%
7.65%
7.41%
7.29%
13.02%
10.91%
10.23%
9.79%
8.96%
8.02%
7.53%
7.42%
13.00%
10.61%
10.27%
9.81%
8.92%
7.78%
7.51%
7.39%
Uncertainty
12.92%
10.57%
10.21%
9.75%
8.85%
7.68%
7.43%
7.31%
31.62
31.35
30.19
29.14
30.02
33.54
32.69
31.49
41.30
61.25
34.61
35.32
39.55
54.88
38.41
37.75
32.37
32.77
31.55
30.70
32.44
37.79
34.26
33.18
33.18
32.20
31.26
29.90
30.25
34.02
31.38
30.48
Nu(z)
A-367
98
99
100
101
102
103
104
65
66
67
68
69
70
71
72
129
130
131
132
133
134
135
136
RodF4_85.6
RodF4_88.4
RodF4_92.4
RodF4_94.3
RodF4_97.2
RodF4_108.8
RodF4_111
RodD2_103.2
RodD2_106
RodD2_112.6
RodD2_114.9
RodD2_117.4
RodD2_120.8
RodD2_124.8
RodD2_128.6
RodD6_103.1
RodD6_106
RodD6_112.9
RodD6_114.9
RodD6_116.8
RodD6_120.9
RodD6_124.8
RodD6_128.7
2.619
2.692
2.868
2.918
2.967
3.071
3.170
3.269
2.621
2.692
2.860
2.918
2.982
3.068
3.170
3.266
2.174
2.245
2.347
2.395
2.469
2.764
2.819
(m)
2.245
2.319
2.370
2.416
2.540
2.692
2.791
3.614
Channel Elevation
Number
161
162
163
164
165
166
167
168
H.R.
Location
RodB4_88.4
RodB4_91.3
RodB4_93.3
RodB4_95.1
RodB4_100
RodB4_106
RodB4_109.9
RodB4_142.3
0.371
0.445
0.004
0.055
0.103
0.207
0.306
0.405
0.373
0.445
-0.004
0.055
0.118
0.204
0.306
0.403
0.374
-0.003
0.099
0.147
0.221
0.516
-0.044
(m)
-0.003
0.071
0.122
0.168
0.292
0.445
0.544
0.224
Zgrid
788.8
795.9
784.9
800.2
810.5
820.4
826.4
828.1
781.1
787.2
772.5
792.0
802.8
816.8
821.9
821.8
698.5
700.7
738.8
752.1
767.7
801.7
783.3
(K)
701.3
732.4
746.8
757.6
780.5
797.1
782.4
833.2
H.R.Tw
11902.0
12119.2
11055.0
10606.2
10175.3
9247.2
8363.0
7484.5
11886.9
12097.1
11097.9
10581.3
10021.4
9261.3
8360.0
7509.0
685.0
695.0
718.1
724.6
730.7
743.4
755.1
766.2
685.4
695.0
717.1
724.6
732.6
743.1
755.1
765.9
623.0
633.0
647.3
654.1
664.4
704.5
711.8
(K)
633.0
643.4
650.5
656.9
674.2
695.0
708.2
799.9
(W/m2)
10640.6
10854.6
10998.9
11131.3
11490.7
11932.6
11551.9
4472.0
10497.4
10705.1
11007.3
11150.2
11368.4
12001.1
11514.5
Tcl
H.R. q''
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
Factor
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
Correction
707.2
716.6
732.4
740.8
747.8
759.9
770.4
779.4
705.9
714.7
729.0
739.0
747.6
758.9
769.4
777.9
639.2
647.5
666.9
675.1
686.5
725.3
727.2
(K)
647.6
662.4
671.1
678.5
697.0
716.9
724.1
807.0
Tbulk
4328
4264
4160
4108
4065
3992
3932
3882
4337
4277
4182
4119
4066
3998
3938
3890
4860
4788
4628
4564
4477
4206
4194
4787
4664
4594
4537
4400
4262
4214
3736
Re (z)
Table SC-3248-B.1: Summary of Steam Cooling Data (cont.)
h (z)
145.99
152.91
210.61
178.49
162.11
152.93
149.25
153.93
158.00
166.99
254.83
199.92
181.70
159.87
159.15
170.84
176.79
201.34
153.15
144.80
139.97
157.13
204.91
(W/m2-K)
198.15
155.17
145.42
140.74
137.60
148.73
197.93
170.65
±σhtc
8.97
9.20
13.12
10.93
9.86
9.34
9.22
9.72
9.76
10.13
16.44
12.45
11.24
9.83
9.92
11.01
13.11
14.68
10.46
9.67
9.07
9.37
12.63
(W/m2-K)
14.48
10.76
9.84
9.34
8.71
8.99
12.20
12.91
Fractional
6.14%
6.02%
6.23%
6.12%
6.08%
6.11%
6.17%
6.32%
6.18%
6.07%
6.45%
6.23%
6.19%
6.15%
6.23%
6.44%
7.42%
7.29%
6.83%
6.68%
6.48%
5.96%
6.16%
Uncertainty
7.31%
6.94%
6.77%
6.64%
6.33%
6.04%
6.16%
7.57%
29.12
29.93
39.94
33.30
29.83
27.49
26.31
26.68
31.61
32.81
48.66
37.42
33.45
28.80
28.10
29.69
40.80
45.61
33.25
30.89
29.15
30.22
39.27
44.87
34.02
31.29
29.81
28.04
29.10
38.16
28.12
Nu(z)
A-368
169
170
171
172
173
174
175
176
89
90
91
92
93
94
95
96
121
122
123
124
125
126
127
128
RodB3_50.2
RodB3_54.1
RodB3_56.9
RodB3_60.1
RodB3_66.1
RodB3_69.9
RodB3_73
RodB3_75
RodF3_50.1
RodF3_54
RodF3_57
RodF3_60
RodF3_66.1
RodF3_70
RodF3_73
RodF3_75
RodE6_50.2
RodE6_54.1
RodE6_57
RodE6_60.2
RodE6_66.1
RodE6_70
RodE6_73.1
RodE6_75
Channel
Number
73
74
75
76
77
78
79
80
H.R.
Location
RodE2_50.1
RodE2_54
RodE2_56.9
RodE2_59.9
RodE2_66
RodE2_69.8
RodE2_72.9
RodE2_74.9
1.275
1.374
1.448
1.529
1.679
1.778
1.857
1.905
1.273
1.372
1.448
1.524
1.679
1.778
1.854
1.905
1.275
1.374
1.445
1.527
1.679
1.775
1.854
1.905
(m)
1.273
1.372
1.445
1.521
1.676
1.773
1.852
1.902
Elevation
0.081
0.180
0.254
0.335
0.485
-0.022
0.056
0.105
0.079
0.178
0.254
0.330
0.485
-0.022
0.054
0.105
0.081
0.180
0.251
0.333
0.485
-0.025
0.054
0.105
(m)
0.079
0.178
0.251
0.328
0.483
-0.027
0.051
0.102
Zgrid
583.3
605.0
617.0
629.0
641.5
624.6
653.9
668.0
587.5
609.5
621.9
632.1
637.5
625.0
654.7
670.9
580.6
600.4
613.2
624.8
636.6
619.0
651.2
666.3
(K)
583.4
607.3
620.4
633.1
642.9
623.6
651.3
662.1
H.R.Tw
7800.6
8094.2
8313.9
8555.4
8997.1
9290.2
9524.0
9669.5
7807.5
8110.2
8344.3
8578.8
9050.7
9350.8
9583.2
9739.2
504.5
516.2
525.1
535.3
554.8
568.0
578.7
585.4
504.2
515.9
525.1
534.7
554.8
568.0
578.4
585.4
504.5
516.2
524.8
535.0
554.8
567.7
578.4
585.4
(K)
504.2
515.9
524.8
534.3
554.4
567.3
578.0
585.0
(W/m2)
7849.1
8151.2
8373.2
8603.6
9072.9
9364.4
9602.1
9756.1
7808.0
8104.0
8317.4
8562.1
9017.0
9306.0
9542.4
9694.6
Tcl
H.R. q''
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Factor
1.20
1.20
1.20
1.20
1.20
1.20
1.20
1.20
Correction
517.7
531.0
540.4
550.9
569.2
577.4
591.2
599.1
518.1
531.5
541.3
550.9
568.5
577.5
591.1
599.6
517.2
530.2
539.5
550.0
568.4
576.2
590.5
598.8
(K)
517.4
531.1
540.7
550.8
569.2
576.7
590.2
597.9
Tbulk
6232
6046
5920
5787
5567
5473
5323
5241
6226
6039
5909
5787
5575
5473
5325
5236
6239
6057
5932
5799
5576
5487
5331
5244
6236
6045
5916
5788
5567
5482
5334
5254
Re (z)
Table SC-3248-B.1: Summary of Steam Cooling Data (cont.)
h (z)
118.77
109.39
108.60
109.59
124.46
196.89
152.12
140.44
112.45
103.88
103.44
105.69
131.21
196.86
150.73
136.69
123.22
115.41
112.91
114.42
132.22
217.38
157.32
143.75
(W/m2-K)
118.91
107.01
105.11
104.58
122.99
199.67
157.28
151.82
±σhtc
13.21
11.38
10.77
10.33
10.75
16.60
11.97
10.68
12.48
10.78
10.21
9.94
11.30
16.51
11.80
10.32
13.71
12.01
11.22
10.80
11.43
18.55
12.40
10.93
(W/m2-K)
13.16
11.06
10.36
9.82
10.55
16.78
12.35
11.54
Fractional
11.12%
10.40%
9.92%
9.42%
8.63%
8.43%
7.87%
7.61%
11.10%
10.37%
9.87%
9.40%
8.61%
8.39%
7.83%
7.55%
11.13%
10.41%
9.93%
9.44%
8.64%
8.53%
7.89%
7.60%
Uncertainty
11.07%
10.34%
9.85%
9.39%
8.58%
8.40%
7.85%
7.60%
36.71
32.69
31.69
31.15
33.83
52.45
39.21
35.53
34.72
31.00
30.12
30.05
35.72
52.44
38.86
34.54
38.13
34.55
33.02
32.61
36.01
58.08
40.62
36.39
36.77
31.97
30.65
29.74
33.43
53.29
40.64
38.52
Nu(z)
RBHT Steam Cooling Test SC-3248-C
Matrix test # 4
Test date – 8/11/2005
Steady state time window: 27200 - 27500 sec
Inlet flow: 1.36 m3/min (48.1 ft3/min)
Inlet steam temperature: 408 K (276 °F)
Upper plenum pressure: 271.0 kPa (39.3 psia)
Bundle power: 30.0 kW
Outlet steam temperature: 590 K (603 °F)
Bundle inlet Reynolds number: 5448
Subchannel Centerline Temperatures
The equations below were correlated using the axial subchannel centerline temperature
distribution. Experiment SC-3248 was run with the traversing probes withdrawn.
Centerline steam temperatures used are from experiment SC-3163-A.
Subchannels D5 and E5 (use for inner 3x3 rod bundle thermocouple locations)
Tcl = -16.388x3 + 100.57x2 - 49.17x + 436.12
Subchannel C5 (use for 5x5 peripheral rod bundle thermocouple locations)
Tcl = -8.9366x3 + 58.937x2 + 6.0702x + 417.72
where x is the elevation (m) and Tcl is in (K)
A-369
A-370
A-371
A-372
Subchannels D5 and E5 Axial Temperature Profile
3
2
y = -16.388x + 100.57x - 49.17x + 436.12
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
Elevation (m )
A-373
2.5
3
3.5
4
Subchannel C5 Axial Temperature Profile
y = -8.9366x3 + 58.937x2 + 6.0702x + 417.72
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
Elevation (m )
A-374
2.5
3
3.5
4
A-375
Channel
Number
185
186
187
188
189
190
191
192
233
234
235
236
237
238
239
240
241
242
243
244
248
201
202
204
205
208
193
194
195
196
197
198
199
200
H.R.
Location
RodD3_88.3
RodD3_91.3
RodD3_93.1
RodD3_95.3
RodD3_100.1
RodD3_106.1
RodD3_110
RodD3_142.1
RodC4_88.4
RodC4_91.1
RodC4_93.4
RodC4_95.3
RodC4_100.1
RodC4_106.1
RodC4_110
RodC4_142.2
RodD4_88.3
RodD4_91.3
RodD4_93.2
RodD4_95.2
RodD4_142.1
RodE4_88.4
RodE4_91.2
RodE4_95.3
RodE4_100.9
RodE4_142.3
RodE3_63.4
RodE3_113.6
RodE3_115.5
RodE3_118.5
RodE3_122.7
RodE3_126.5
RodE3_131.7
RodE3_135.6
1.610
2.885
2.934
3.010
3.117
3.213
3.345
3.444
2.245
2.316
2.421
2.563
3.614
2.243
2.319
2.367
2.418
3.609
2.245
2.314
2.372
2.421
2.543
2.695
2.794
3.612
(m)
2.243
2.319
2.365
2.421
2.543
2.695
2.794
3.609
Elevation
0.417
0.022
0.070
0.146
0.253
0.349
-0.046
0.053
-0.003
0.069
0.173
0.315
0.224
-0.005
0.071
0.119
0.170
0.218
-0.003
0.066
0.124
0.173
0.295
0.447
0.546
0.221
(m)
-0.005
0.071
0.117
0.173
0.295
0.447
0.546
0.218
Zgrid
628.3
780.9
792.0
803.8
812.6
815.4
800.5
807.0
690.0
715.4
743.2
767.1
814.9
693.9
719.9
733.6
744.9
819.2
687.7
713.0
727.9
739.5
762.2
783.6
773.7
818.3
(K)
684.0
714.4
728.7
741.9
765.5
785.3
776.2
812.9
H.R.Tw
6622.8
8161.7
7857.8
7380.6
6710.8
6107.4
5279.8
4658.1
7996.6
8151.1
8375.9
8681.7
3323.8
8119.4
8291.8
8399.2
8516.6
3289.0
549.3
737.8
743.6
752.3
763.6
772.8
783.6
790.2
647.2
658.2
673.9
694.8
798.4
646.8
658.6
665.9
673.5
798.2
647.2
657.8
666.7
673.9
691.9
713.2
726.4
798.3
(K)
646.8
658.6
665.5
673.9
691.9
713.2
726.4
798.2
(W/m2)
8053.6
8223.0
8324.9
8450.5
8724.9
9065.0
8954.2
3138.7
8147.0
8305.1
8437.4
8548.7
8830.2
9175.5
8881.3
3402.1
Tcl
H.R. q''
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
Factor
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
Correction
566.1
747.0
753.9
763.3
774.0
781.8
787.1
793.8
656.3
670.3
688.6
710.2
801.9
656.8
671.6
680.3
688.7
802.7
655.8
669.5
679.7
687.9
706.8
728.2
736.4
802.6
(K)
654.7
670.4
678.9
688.4
707.5
728.6
737.0
801.3
Tbulk
4250
3086
3055
3013
2967
2934
2912
2886
3575
3489
3383
3267
2853
3572
3482
3431
3383
2850
3578
3494
3434
3388
3285
3176
3136
2851
3585
3489
3439
3385
3281
3174
3134
2856
Re (z)
Table SC-3248-C.1: Summary of Steam Cooling Data
h (z)
106.53
240.68
206.13
182.26
173.84
182.07
396.77
351.45
237.29
180.84
153.64
152.40
256.33
219.17
171.70
157.56
151.62
198.86
255.53
190.84
175.05
165.52
159.41
165.74
238.52
215.88
(W/m2-K)
275.04
186.98
167.38
157.80
150.53
159.74
228.12
271.16
±σhtc
12.76
17.96
14.94
13.03
12.52
13.55
46.22
41.00
21.49
15.19
12.05
11.17
30.56
19.38
14.16
12.58
11.76
20.28
23.16
15.94
14.06
12.91
11.70
11.42
17.32
22.52
(W/m2-K)
25.56
15.66
13.53
12.34
11.06
11.03
16.32
35.41
Fractional
11.98%
7.46%
7.25%
7.15%
7.20%
7.44%
11.65%
11.67%
9.06%
8.40%
7.84%
7.33%
11.92%
8.84%
8.25%
7.98%
7.76%
10.20%
9.06%
8.35%
8.03%
7.80%
7.34%
6.89%
7.26%
10.43%
Uncertainty
9.29%
8.38%
8.09%
7.82%
7.35%
6.91%
7.15%
13.06%
29.17
44.36
37.49
32.56
30.43
31.42
67.79
59.32
52.72
38.97
31.85
30.22
42.63
48.64
36.91
33.24
31.43
33.03
56.83
41.20
36.98
34.37
31.83
31.70
44.88
35.86
61.32
40.29
35.42
32.73
30.01
30.53
42.88
45.15
Nu(z)
A-376
Channel
Number
225
226
227
229
230
231
232
209
210
211
212
213
214
215
216
177
178
179
180
181
182
183
217
218
219
220
221
222
223
224
H.R.
Location
RodC5_63.7
RodC5_113.6
RodC5_115.7
RodC5_122.7
RodC5_126.7
RodC5_131.6
RodC5_135.7
RodE5_63.6
RodE5_113.6
RodE5_115.4
RodE5_118.7
RodE5_122.6
RodE5_126.6
RodE5_131.6
RodE5_135.6
RodC3_79.8
RodC3_85.6
RodC3_88.5
RodC3_92.4
RodC3_94.4
RodC3_97.2
RodC3_108.8
RodD5_50
RodD5_54.1
RodD5_56.9
RodD5_60
RodD5_66.1
RodD5_69.9
RodD5_72.9
RodD5_74.9
1.270
1.374
1.445
1.524
1.679
1.775
1.852
1.902
2.027
2.174
2.248
2.347
2.398
2.469
2.764
1.615
2.885
2.931
3.015
3.114
3.216
3.343
3.444
(m)
1.618
2.885
2.939
3.117
3.218
3.343
3.447
Elevation
0.076
0.180
0.251
0.330
0.485
-0.025
0.051
0.102
0.227
0.374
0.000
0.099
0.150
0.221
0.516
0.422
0.022
0.067
0.151
0.250
0.352
-0.048
0.053
(m)
0.424
0.022
0.075
0.253
0.354
-0.048
0.056
Zgrid
572.1
595.1
607.4
619.0
633.6
618.1
646.4
661.6
676.0
678.9
680.0
714.6
726.7
740.7
775.0
624.3
775.2
783.0
791.7
799.9
805.9
797.4
803.9
(K)
629.3
777.1
791.2
811.9
815.2
806.2
812.0
H.R.Tw
5881.8
6113.7
6268.6
6444.3
6788.2
7005.2
7173.8
7285.5
7530.7
7858.5
8022.5
8240.7
8351.6
8511.9
8971.5
6654.3
8211.9
7932.2
7415.2
6801.8
6173.4
5395.1
4766.8
(W/m )
6496.4
7959.5
7643.8
6585.7
5979.2
5244.6
4620.7
2
H.R. q''
502.3
515.9
525.6
536.8
559.5
574.1
585.8
593.7
613.2
636.2
647.6
662.8
670.5
681.1
722.4
550.0
737.8
743.3
752.9
763.4
773.0
783.4
790.2
(K)
550.4
737.8
744.2
763.6
773.2
783.4
790.3
Tcl
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
Factor
1.27
1.27
1.27
1.27
1.27
1.27
1.27
Correction
517.1
532.8
543.0
554.2
575.2
583.5
598.7
608.2
626.5
645.3
654.5
673.8
682.5
693.8
733.6
565.8
745.8
751.8
761.1
771.1
780.0
786.4
793.1
(K)
567.2
746.2
754.2
773.9
782.2
788.2
794.9
Tbulk
4733
4567
4465
4358
4170
4101
3978
3906
3773
3646
3587
3469
3418
3355
3150
4252
3092
3065
3023
2979
2942
2916
2888
4240
3090
3054
2968
2933
2908
2881
Re (z)
Table SC-3248-C.1: Summary of Steam Cooling Data (cont.)
107.08
98.08
97.43
99.52
116.34
202.08
150.52
136.26
152.09
233.46
314.38
202.13
188.58
181.53
216.49
113.77
279.57
254.14
242.99
236.42
238.38
488.06
442.76
(W/m -K)
104.62
257.67
206.74
173.23
180.75
292.06
271.52
2
h (z)
15.84
13.55
12.87
12.52
13.39
22.79
15.85
13.88
14.60
21.80
30.27
16.94
15.27
14.14
15.43
13.58
21.73
19.36
18.60
18.41
19.23
65.14
60.24
(W/m -K)
12.70
19.91
15.22
12.61
13.57
28.14
26.91
2
±σhtc
14.80%
13.81%
13.21%
12.58%
11.51%
11.28%
10.53%
10.18%
9.60%
9.34%
9.63%
8.38%
8.10%
7.79%
7.13%
11.94%
7.77%
7.62%
7.66%
7.79%
8.07%
13.35%
13.61%
Uncertainty
12.14%
7.73%
7.36%
7.28%
7.51%
9.64%
9.91%
Fractional
33.14
29.18
28.25
28.06
31.16
53.06
38.12
33.75
36.11
53.15
70.12
43.24
39.61
37.23
40.96
31.18
51.65
46.41
43.59
41.62
41.27
83.51
74.83
28.57
47.57
37.58
30.34
31.17
49.80
45.73
Nu(z)
A-377
105
106
107
108
109
110
111
112
57
58
59
60
61
62
63
64
137
138
139
140
141
142
143
144
RodF5_41
RodF5_53.1
RodF5_55
RodF5_57.8
RodF5_64
RodF5_73.8
RodF5_75.8
RodF5_76.8
RodC2_41
RodC2_53.1
RodC2_55
RodC2_57.8
RodC2_63.9
RodC2_73.8
RodC2_75.8
RodC2_76.8
RodC6_40.9
RodC6_52.8
RodC6_54.8
RodC6_57.8
RodC6_63.8
RodC6_73.7
RodC6_75.8
RodC6_76.8
Channel
Number
153
154
155
156
157
158
159
160
H.R.
Location
RodB5_41
RodB5_52.9
RodB5_55
RodB5_57.8
RodB5_64
RodB5_73.9
RodB5_75.9
RodB5_76.9
1.039
1.341
1.392
1.468
1.621
1.872
1.925
1.951
1.041
1.349
1.397
1.468
1.623
1.875
1.925
1.951
1.041
1.349
1.397
1.468
1.626
1.875
1.925
1.951
(m)
1.041
1.344
1.397
1.468
1.626
1.877
1.928
1.953
Elevation
0.340
0.147
0.198
0.274
0.427
0.072
0.125
0.150
0.343
0.155
0.203
0.274
0.429
0.074
0.125
0.150
0.343
0.155
0.203
0.274
0.432
0.074
0.125
0.150
(m)
0.343
0.150
0.203
0.274
0.432
0.077
0.128
0.153
Zgrid
554.2
586.0
595.5
607.9
626.7
648.0
657.5
663.7
535.9
548.9
587.4
594.7
605.0
620.9
642.2
646.5
552.4
583.3
592.5
604.0
621.2
638.3
651.6
657.2
(K)
549.9
583.4
591.9
604.2
624.7
646.6
659.2
664.7
H.R.Tw
5313.6
6018.5
6139.2
6316.6
6674.1
7262.4
7386.0
7445.8
5332.3
6024.4
6132.5
6291.9
6640.6
7204.5
7318.3
7375.1
477.6
510.3
516.3
525.4
544.3
577.0
584.1
587.5
477.9
511.2
516.9
525.4
544.6
577.3
584.1
587.5
477.9
511.2
516.9
525.4
544.9
577.3
584.1
587.5
(K)
477.9
510.6
516.9
525.4
544.9
577.7
584.4
587.8
(W/m2)
5346.5
6024.8
6144.2
6303.7
6658.9
7220.7
7335.8
7389.9
5314.4
6005.0
6112.7
6273.6
6627.6
7185.1
7301.3
7356.7
Tcl
H.R. q''
1.20
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.20
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.20
1.27
1.27
1.27
1.27
1.27
1.27
1.27
Factor
1.20
1.27
1.27
1.27
1.27
1.27
1.27
1.27
Correction
490.4
526.4
533.1
542.9
561.8
592.1
599.7
603.7
487.5
519.2
531.9
540.1
557.5
586.6
596.4
600.0
490.3
526.5
532.9
542.1
561.2
590.3
598.4
602.3
(K)
489.9
526.1
532.8
542.1
561.9
592.3
600.3
604.2
Tbulk
5044
4633
4564
4466
4288
4031
3971
3940
5079
4710
4577
4493
4328
4075
3996
3968
5045
4632
4566
4474
4294
4045
3980
3950
5050
4637
4567
4473
4287
4029
3966
3936
Re (z)
Table SC-3248-C.1: Summary of Steam Cooling Data (cont.)
h (z)
83.24
101.05
98.45
97.17
102.81
129.86
127.82
124.17
110.29
202.74
110.38
115.25
139.62
209.78
160.10
158.66
85.51
105.72
102.59
101.41
110.40
149.60
137.44
133.95
(W/m2-K)
89.04
105.15
104.00
101.54
106.01
132.96
124.56
122.10
±σhtc
14.16
14.31
13.47
12.66
12.18
13.34
12.74
12.18
18.79
29.60
15.14
15.13
16.79
22.53
16.28
15.89
14.54
14.98
14.09
13.30
13.16
15.61
13.87
13.31
(W/m2-K)
15.06
14.88
14.22
13.26
12.58
13.72
12.45
12.02
Fractional
17.01%
14.16%
13.69%
13.03%
11.85%
10.27%
9.96%
9.81%
17.04%
14.60%
13.72%
13.13%
12.03%
10.74%
10.17%
10.02%
17.00%
14.17%
13.73%
13.12%
11.92%
10.44%
10.09%
9.94%
Uncertainty
16.92%
14.15%
13.67%
13.06%
11.86%
10.32%
10.00%
9.85%
27.59
30.55
29.26
28.18
28.45
33.40
32.29
31.08
36.82
62.42
32.91
33.66
39.06
54.67
40.76
40.05
28.34
31.95
30.51
29.47
30.60
38.65
34.83
33.63
29.55
31.81
30.93
29.50
29.33
34.18
31.42
30.53
Nu(z)
A-378
Channel
Number
161
162
163
164
165
166
167
168
98
99
100
101
102
103
104
65
66
67
68
69
70
71
72
129
130
131
132
133
134
135
136
H.R.
Location
RodB4_88.4
RodB4_91.3
RodB4_93.3
RodB4_95.1
RodB4_100
RodB4_106
RodB4_109.9
RodB4_142.3
RodF4_85.6
RodF4_88.4
RodF4_92.4
RodF4_94.3
RodF4_97.2
RodF4_108.8
RodF4_111
RodD2_103.2
RodD2_106
RodD2_112.6
RodD2_114.9
RodD2_117.4
RodD2_120.8
RodD2_124.8
RodD2_128.6
RodD6_103.1
RodD6_106
RodD6_112.9
RodD6_114.9
RodD6_116.8
RodD6_120.9
RodD6_124.8
RodD6_128.7
2.619
2.692
2.868
2.918
2.967
3.071
3.170
3.269
2.621
2.692
2.860
2.918
2.982
3.068
3.170
3.266
2.174
2.245
2.347
2.395
2.469
2.764
2.819
(m)
2.245
2.319
2.370
2.416
2.540
2.692
2.791
3.614
Elevation
0.371
0.445
0.004
0.055
0.103
0.207
0.306
0.405
0.373
0.445
-0.004
0.055
0.118
0.204
0.306
0.403
0.374
-0.003
0.099
0.147
0.221
0.516
-0.044
(m)
-0.003
0.071
0.122
0.168
0.292
0.445
0.544
0.224
Zgrid
761.4
768.7
761.7
775.5
785.4
794.8
801.3
803.5
754.3
760.5
750.2
767.7
777.8
791.3
797.5
799.0
678.7
680.5
714.2
726.7
742.1
774.8
763.1
(K)
682.2
709.8
723.5
733.7
755.1
771.0
761.1
810.1
H.R.Tw
8936.3
9099.7
8310.8
7968.5
7645.7
6949.6
6288.6
5628.8
8915.2
9076.9
8330.8
7942.4
7522.6
6950.6
6283.1
5645.5
677.3
686.9
709.1
715.3
721.1
733.4
744.5
755.2
677.6
686.9
708.1
715.3
722.9
733.1
744.5
754.9
617.7
627.3
641.1
647.6
657.5
696.0
703.0
(K)
627.3
637.3
644.2
650.3
666.9
686.9
699.5
787.6
(W/m2)
7985.8
8146.6
8253.1
8356.1
8627.1
8955.9
8671.8
3377.8
7878.8
8035.7
8262.2
8369.0
8530.9
9009.3
8645.0
Tcl
H.R. q''
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
Factor
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
Correction
695.2
704.3
720.2
728.1
734.8
746.4
756.6
765.5
693.9
702.5
717.0
726.4
734.6
745.4
755.8
764.3
630.7
638.6
656.6
664.4
675.5
712.7
715.8
(K)
639.0
652.7
661.0
668.0
685.7
704.8
712.6
792.4
Tbulk
3347
3298
3216
3177
3144
3089
3043
3004
3354
3307
3232
3185
3145
3094
3046
3009
3744
3690
3573
3525
3459
3254
3238
3687
3598
3546
3503
3400
3296
3254
2891
Re (z)
Table SC-3248-C.1: Summary of Steam Cooling Data (cont.)
h (z)
135.01
141.30
200.43
167.95
150.95
143.54
140.71
147.90
147.76
156.53
251.54
192.43
174.24
151.56
150.67
162.80
163.85
192.09
143.42
134.39
127.96
145.16
182.71
(W/m2-K)
184.70
142.76
132.11
127.28
124.25
135.17
178.97
190.91
±σhtc
9.47
9.63
14.27
11.68
10.40
9.96
9.89
10.73
10.45
10.79
18.89
13.73
12.33
10.61
10.73
12.08
14.59
16.78
11.56
10.52
9.63
9.76
12.70
(W/m2-K)
16.13
11.71
10.51
9.87
9.06
9.25
12.48
18.59
Fractional
7.01%
6.82%
7.12%
6.95%
6.89%
6.94%
7.03%
7.26%
7.07%
6.89%
7.51%
7.14%
7.08%
7.00%
7.12%
7.42%
8.91%
8.74%
8.06%
7.83%
7.53%
6.72%
6.95%
Uncertainty
8.73%
8.20%
7.95%
7.75%
7.29%
6.85%
6.98%
9.74%
27.61
28.36
38.94
32.13
28.49
26.49
25.46
26.31
30.30
31.53
49.19
36.93
32.90
28.02
27.30
29.03
38.54
44.38
31.84
29.34
27.28
28.64
35.82
42.64
31.97
29.05
27.57
25.92
27.10
35.31
32.30
Nu(z)
A-379
169
170
171
172
173
174
175
176
89
90
91
92
93
94
95
96
121
122
123
124
125
126
127
128
RodB3_50.2
RodB3_54.1
RodB3_56.9
RodB3_60.1
RodB3_66.1
RodB3_69.9
RodB3_73
RodB3_75
RodF3_50.1
RodF3_54
RodF3_57
RodF3_60
RodF3_66.1
RodF3_70
RodF3_73
RodF3_75
RodE6_50.2
RodE6_54.1
RodE6_57
RodE6_60.2
RodE6_66.1
RodE6_70
RodE6_73.1
RodE6_75
Channel
Number
73
74
75
76
77
78
79
80
H.R.
Location
RodE2_50.1
RodE2_54
RodE2_56.9
RodE2_59.9
RodE2_66
RodE2_69.8
RodE2_72.9
RodE2_74.9
1.275
1.374
1.448
1.529
1.679
1.778
1.857
1.905
1.273
1.372
1.448
1.524
1.679
1.778
1.854
1.905
1.275
1.374
1.445
1.527
1.679
1.775
1.854
1.905
(m)
1.273
1.372
1.445
1.521
1.676
1.773
1.852
1.902
Elevation
0.081
0.180
0.254
0.335
0.485
-0.022
0.056
0.105
0.079
0.178
0.254
0.330
0.485
-0.022
0.054
0.105
0.081
0.180
0.251
0.333
0.485
-0.025
0.054
0.105
(m)
0.079
0.178
0.251
0.328
0.483
-0.027
0.051
0.102
Zgrid
566.4
586.3
597.3
609.2
622.6
609.3
634.9
648.3
570.9
592.2
604.7
616.0
622.9
611.0
636.1
650.5
564.2
583.4
595.6
607.8
620.2
604.5
632.2
646.0
(K)
567.1
589.2
601.5
614.5
625.5
609.0
632.0
642.0
H.R.Tw
5878.6
6100.6
6265.7
6445.8
6782.3
6996.1
7173.1
7282.1
5869.7
6095.4
6271.9
6444.4
6802.1
7026.9
7201.6
7319.1
502.8
514.2
522.9
532.9
551.8
564.6
575.0
581.4
502.5
513.9
522.9
532.2
551.8
564.6
574.6
581.4
502.8
514.2
522.6
532.5
551.8
564.3
574.6
581.4
(K)
502.5
513.9
522.6
531.9
551.4
563.9
574.3
581.0
(W/m2)
5900.5
6125.3
6292.7
6465.6
6818.1
7035.4
7214.1
7329.4
5861.1
6082.4
6240.4
6423.4
6767.3
6984.1
7159.3
7275.2
Tcl
H.R. q''
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
Factor
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
Correction
516.3
529.5
538.7
549.1
566.8
574.1
587.7
595.6
517.0
530.5
540.3
550.0
566.9
574.5
587.7
596.1
515.8
528.9
538.1
548.5
566.3
572.8
586.9
595.1
(K)
516.2
529.9
539.4
549.5
567.2
573.5
586.6
594.0
Tbulk
4742
4601
4507
4406
4243
4180
4066
4003
4734
4591
4491
4397
4243
4177
4066
3999
4747
4607
4513
4411
4248
4191
4073
4006
4743
4597
4501
4403
4240
4185
4075
4015
Re (z)
Table SC-3248-C.1: Summary of Steam Cooling Data (cont.)
h (z)
117.28
107.42
107.06
107.26
121.64
198.82
151.99
138.30
108.92
98.88
97.36
97.66
121.34
192.51
148.76
134.45
121.10
111.54
108.57
108.35
125.48
220.20
158.08
142.94
(W/m2-K)
115.90
103.23
101.33
99.44
116.91
198.20
158.68
152.62
±σhtc
17.38
14.90
14.17
13.50
14.03
22.39
15.99
14.09
16.14
13.71
12.84
12.28
13.96
21.53
15.60
13.62
18.01
15.53
14.44
13.69
14.52
25.14
16.72
14.58
(W/m2-K)
17.12
14.26
13.35
12.49
13.42
22.24
16.70
15.56
Fractional
14.82%
13.87%
13.24%
12.59%
11.54%
11.26%
10.52%
10.19%
14.82%
13.86%
13.19%
12.58%
11.51%
11.18%
10.48%
10.13%
14.87%
13.92%
13.30%
12.64%
11.57%
11.42%
10.58%
10.20%
Uncertainty
14.77%
13.82%
13.18%
12.56%
11.48%
11.22%
10.52%
10.20%
36.38
32.22
31.38
30.63
33.25
53.40
39.51
35.28
33.72
29.58
28.42
27.82
33.17
51.66
38.67
34.26
37.61
33.51
31.86
30.98
34.34
59.32
41.17
36.50
35.96
30.93
29.65
28.37
31.93
53.31
41.36
39.08
Nu(z)
RBHT Steam Cooling Test SC-3248-D
Matrix test # 3
Test date – 8/11/2005
Steady state time window: 29400 - 29700 sec
Inlet flow: 0.91 m3/min (32.0 ft3/min)
Inlet steam temperature: 409 K (277 °F)
Upper plenum pressure: 271.7 kPa (39.4 psia)
Bundle power: 21.0 kW
Outlet steam temperature: 580 K (585 °F)
Bundle inlet Reynolds number: 3610
Subchannel Centerline Temperatures
The equations below were correlated using the axial subchannel centerline temperature
distribution. Experiment SC-3248 was run with the traversing probes withdrawn.
Centerline steam temperatures used are from experiment SC-3166-A.
Subchannels D5 and E5 (use for inner 3x3 rod bundle thermocouple locations)
Tcl = -15.787x3 + 96.024x2 - 41.28x + 433.52
Subchannel C5 (use for 5x5 peripheral rod bundle thermocouple locations)
Tcl = -10.056x3 + 62.945x2 + 2.2908x + 419.79
where x is the elevation (m) and Tcl is in (K)
A-380
A-381
A-382
A-383
Subchannels D5 and E5 Axial Temperature Profile
y = -15.787x3 + 96.024x2 - 41.28x + 433.52
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
Elevation (m)
A-384
2.5
3
3.5
4
Subchannel C5 Axial Temperature Profile
3
y = -10.056x + 62.945x2 + 2.2908x + 419.79
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
Elevation (m)
A-385
2.5
3
3.5
4
A-386
Channel
Number
185
186
187
188
189
190
191
192
233
234
235
236
237
238
239
240
241
242
243
244
248
201
202
204
205
208
193
194
195
196
197
198
199
200
H.R.
Location
RodD3_88.3
RodD3_91.3
RodD3_93.1
RodD3_95.3
RodD3_100.1
RodD3_106.1
RodD3_110
RodD3_142.1
RodC4_88.4
RodC4_91.1
RodC4_93.4
RodC4_95.3
RodC4_100.1
RodC4_106.1
RodC4_110
RodC4_142.2
RodD4_88.3
RodD4_91.3
RodD4_93.2
RodD4_95.2
RodD4_142.1
RodE4_88.4
RodE4_91.2
RodE4_95.3
RodE4_100.9
RodE4_142.3
RodE3_63.4
RodE3_113.6
RodE3_115.5
RodE3_118.5
RodE3_122.7
RodE3_126.5
RodE3_131.7
RodE3_135.6
1.610
2.885
2.934
3.010
3.117
3.213
3.345
3.444
2.245
2.316
2.421
2.563
3.614
2.243
2.319
2.367
2.418
3.609
2.245
2.314
2.372
2.421
2.543
2.695
2.794
3.612
(m)
2.243
2.319
2.365
2.421
2.543
2.695
2.794
3.609
Elevation
0.417
0.022
0.070
0.146
0.253
0.349
-0.046
0.053
-0.003
0.069
0.173
0.315
0.224
-0.005
0.071
0.119
0.170
0.218
-0.003
0.066
0.124
0.173
0.295
0.447
0.546
0.221
(m)
-0.005
0.071
0.117
0.173
0.295
0.447
0.546
0.218
Zgrid
618.2
772.0
781.3
792.4
801.0
804.1
797.4
801.0
684.5
705.5
731.8
754.9
809.9
688.6
709.0
722.0
733.7
813.6
681.0
703.2
717.6
728.9
750.8
767.9
763.5
809.8
(K)
680.5
704.4
717.6
730.5
753.4
771.3
767.0
806.8
H.R.Tw
6504.2
8032.4
7734.9
7265.0
6609.1
6012.3
5197.5
4589.7
7857.1
8011.5
8234.8
8538.9
3272.2
7980.3
8151.6
8260.6
8374.4
3238.7
550.1
734.6
740.2
748.7
759.7
768.5
779.0
785.4
646.2
656.9
672.3
692.7
793.3
645.8
657.3
664.5
672.0
793.2
646.2
656.5
665.2
672.3
689.8
710.7
723.5
793.2
(K)
645.8
657.3
664.1
672.3
689.8
710.7
723.5
793.2
(W/m2)
7918.4
8088.9
8189.1
8314.9
8585.3
8923.7
8810.7
3094.5
8007.2
8164.0
8295.4
8409.0
8683.1
9030.1
8739.8
3352.3
Tcl
H.R. q''
1.27
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.27
1.27
1.50
1.50
1.50
1.27
1.27
1.50
1.50
1.50
1.27
1.27
1.50
1.50
1.50
1.50
1.50
1.50
Factor
1.27
1.27
1.50
1.50
1.50
1.50
1.50
1.50
Correction
564.7
747.1
753.9
763.3
773.4
780.4
785.1
790.6
654.4
667.3
692.2
713.4
798.9
655.0
668.4
683.7
692.5
800.0
653.7
666.5
682.7
691.2
710.2
729.8
736.8
798.7
(K)
653.3
667.4
682.0
691.7
711.0
730.9
738.0
797.7
Tbulk
2834
2052
2031
2003
1974
1955
1942
1927
2385
2332
2236
2161
1905
2382
2328
2268
2235
1902
2388
2335
2272
2240
2172
2106
2084
1905
2390
2332
2275
2238
2169
2103
2080
1908
Re (z)
Table SC-3248-D.1: Summary of Steam Cooling Data
h (z)
121.57
322.63
282.56
249.34
239.52
253.51
423.72
440.78
261.33
209.76
207.52
205.85
295.49
237.61
200.74
215.26
203.30
238.06
293.26
222.50
237.79
223.05
213.60
236.53
327.22
304.45
(W/m2-K)
291.06
218.56
229.41
214.37
202.43
220.76
303.14
340.88
±σhtc
14.85
29.45
25.25
21.99
21.31
23.32
50.74
58.19
24.41
18.18
19.34
18.25
37.74
21.55
17.06
20.35
18.77
27.19
27.75
19.22
22.63
20.71
18.95
20.22
29.31
38.93
(W/m2-K)
27.74
18.92
21.93
19.94
17.96
18.82
26.65
49.90
Fractional
12.21%
9.13%
8.93%
8.82%
8.90%
9.20%
11.98%
13.20%
9.34%
8.66%
9.32%
8.86%
12.77%
9.07%
8.50%
9.45%
9.23%
11.42%
9.46%
8.64%
9.52%
9.29%
8.87%
8.55%
8.96%
12.79%
Uncertainty
9.53%
8.66%
9.56%
9.30%
8.87%
8.52%
8.79%
14.64%
33.41
59.46
51.39
44.54
41.98
43.86
72.66
74.83
58.30
45.50
42.71
40.55
49.42
52.94
43.45
45.10
41.80
39.73
65.53
48.35
49.92
46.00
42.36
45.09
61.52
50.93
65.10
47.40
48.23
44.16
40.07
41.99
56.86
57.13
Nu(z)
A-387
Number
225
226
227
229
230
231
232
209
210
211
212
213
214
215
216
177
178
179
180
181
182
183
217
218
219
220
221
222
223
224
RodE5_63.6
RodE5_113.6
RodE5_115.4
RodE5_118.7
RodE5_122.6
RodE5_126.6
RodE5_131.6
RodE5_135.6
RodC3_79.8
RodC3_85.6
RodC3_88.5
RodC3_92.4
RodC3_94.4
RodC3_97.2
RodC3_108.8
RodD5_50
RodD5_54.1
RodD5_56.9
RodD5_60
RodD5_66.1
RodD5_69.9
RodD5_72.9
RodD5_74.9
1.270
1.374
1.445
1.524
1.679
1.775
1.852
1.902
2.027
2.174
2.248
2.347
2.398
2.469
2.764
1.615
2.885
2.931
3.015
3.114
3.216
3.343
3.444
(m)
1.618
2.885
2.939
3.117
3.218
3.343
3.447
Channel Elevation
Location
RodC5_63.7
RodC5_113.6
RodC5_115.7
RodC5_122.7
RodC5_126.7
RodC5_131.6
RodC5_135.7
H.R.
0.076
0.180
0.251
0.330
0.485
-0.025
0.051
0.102
0.227
0.374
0.000
0.099
0.150
0.221
0.516
0.422
0.022
0.067
0.151
0.250
0.352
-0.048
0.053
(m)
0.424
0.022
0.075
0.253
0.354
-0.048
0.056
Zgrid
563.7
584.5
595.3
606.8
624.5
614.4
636.6
650.3
666.3
672.8
674.1
702.9
714.7
728.8
761.7
613.6
766.8
774.7
784.5
793.0
798.8
795.8
799.0
(K)
616.7
765.6
777.7
798.4
802.7
800.0
804.8
H.R.Tw
5774.1
6003.7
6159.2
6331.5
6671.2
6880.5
7048.4
7160.0
7406.9
7729.1
7887.1
8113.0
8221.8
8378.0
8837.5
6535.7
8077.0
7797.8
7292.5
6692.0
6074.1
5303.9
4685.9
(W/m )
6382.1
7834.5
7522.9
6485.2
5889.7
5159.5
4551.7
2
H.R. q''
503.6
517.1
526.8
537.7
560.2
574.6
586.1
593.8
612.9
635.4
646.6
661.5
669.0
679.3
719.6
550.9
734.6
740.0
749.3
759.4
768.8
778.8
785.4
(K)
551.2
734.6
740.8
759.7
769.0
778.8
785.6
Tcl
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.50
1.50
1.50
1.27
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Factor
1.27
1.50
1.50
1.50
1.50
1.50
1.50
Correction
516.5
531.6
541.5
552.5
573.9
583.1
596.9
605.9
624.3
643.4
652.5
670.3
684.2
695.8
733.6
564.3
745.3
751.5
761.0
770.6
778.8
784.5
790.0
(K)
565.3
744.9
753.1
772.6
780.2
785.9
792.0
Tbulk
3151
3045
2979
2908
2780
2728
2654
2608
2519
2432
2393
2320
2266
2223
2094
2836
2057
2038
2010
1982
1959
1944
1929
2830
2058
2033
1977
1955
1940
1923
Re (z)
Table SC-3248-D.1: Summary of Steam Cooling Data (cont.)
122.36
113.50
114.30
116.61
131.94
219.67
177.71
161.30
176.53
263.26
365.46
249.33
269.84
254.25
315.13
132.59
376.46
336.36
309.98
298.94
303.10
469.16
516.78
(W/m -K)
123.98
379.80
305.66
251.23
261.90
364.57
355.26
2
h (z)
18.47
15.99
15.39
14.96
15.48
25.37
19.22
16.83
17.37
25.45
37.34
21.89
26.06
23.75
28.03
16.16
35.69
31.19
28.60
27.90
29.20
58.81
74.78
(W/m -K)
15.36
36.68
28.11
22.78
24.51
40.54
41.49
2
±σhtc
15.10%
14.08%
13.47%
12.83%
11.73%
11.55%
10.81%
10.44%
9.84%
9.67%
10.22%
8.78%
9.66%
9.34%
8.89%
12.19%
9.48%
9.27%
9.23%
9.33%
9.63%
12.54%
14.47%
Uncertainty
12.39%
9.66%
9.20%
9.07%
9.36%
11.12%
11.68%
Fractional
37.93
33.87
33.27
33.02
35.45
57.73
45.19
40.16
42.13
60.17
81.88
53.74
56.46
51.93
59.62
36.47
69.61
61.45
55.62
52.67
52.59
80.56
87.84
34.02
70.28
55.67
44.10
45.32
62.43
60.16
Nu(z)
A-388
105
106
107
108
109
110
111
112
57
58
59
60
61
62
63
64
137
138
139
140
141
142
143
144
RodF5_41
RodF5_53.1
RodF5_55
RodF5_57.8
RodF5_64
RodF5_73.8
RodF5_75.8
RodF5_76.8
RodC2_41
RodC2_53.1
RodC2_55
RodC2_57.8
RodC2_63.9
RodC2_73.8
RodC2_75.8
RodC2_76.8
RodC6_40.9
RodC6_52.8
RodC6_54.8
RodC6_57.8
RodC6_63.8
RodC6_73.7
RodC6_75.8
RodC6_76.8
Channel
Number
153
154
155
156
157
158
159
160
H.R.
Location
RodB5_41
RodB5_52.9
RodB5_55
RodB5_57.8
RodB5_64
RodB5_73.9
RodB5_75.9
RodB5_76.9
1.039
1.341
1.392
1.468
1.621
1.872
1.925
1.951
1.041
1.349
1.397
1.468
1.623
1.875
1.925
1.951
1.041
1.349
1.397
1.468
1.626
1.875
1.925
1.951
(m)
1.041
1.344
1.397
1.468
1.626
1.877
1.928
1.953
Elevation
0.340
0.147
0.198
0.274
0.427
0.072
0.125
0.150
0.343
0.155
0.203
0.274
0.429
0.074
0.125
0.150
0.343
0.155
0.203
0.274
0.432
0.074
0.125
0.150
(m)
0.343
0.150
0.203
0.274
0.432
0.077
0.128
0.153
Zgrid
543.8
574.0
583.1
594.7
614.4
637.2
646.8
652.2
527.1
543.3
577.3
584.2
593.8
610.4
632.6
636.1
542.8
572.0
580.6
591.0
609.1
628.1
639.9
645.0
(K)
542.1
573.6
581.7
593.3
613.0
635.8
647.3
652.3
H.R.Tw
5218.8
5913.6
6032.4
6206.9
6559.0
7140.6
7262.4
7322.7
5243.0
5916.5
6025.2
6183.3
6526.4
7082.4
7195.9
7253.4
478.8
511.8
517.8
527.0
546.0
578.7
585.8
589.1
479.1
512.7
518.4
527.0
546.3
579.0
585.8
589.1
479.1
512.7
518.4
527.0
546.7
579.0
585.8
589.1
(K)
479.1
512.1
518.4
527.0
546.7
579.4
586.1
589.5
(W/m2)
5256.7
5924.9
6043.1
6199.9
6549.2
7102.5
7217.6
7271.6
5216.4
5894.5
6001.5
6160.7
6505.8
7057.9
7169.8
7227.0
Tcl
H.R. q''
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
Factor
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
Correction
492.7
525.1
531.8
541.5
560.7
591.2
598.8
602.6
489.4
519.3
531.0
539.3
556.5
585.8
595.8
599.2
492.7
525.4
531.7
540.7
560.0
589.5
597.4
601.1
(K)
492.6
525.3
532.0
541.2
560.9
591.4
599.2
602.9
Tbulk
3334
3089
3043
2978
2858
2684
2644
2625
3362
3131
3048
2993
2883
2714
2660
2643
3334
3087
3044
2984
2862
2693
2652
2633
3335
3088
3042
2980
2857
2683
2642
2623
Re (z)
Table SC-3248-D.1: Summary of Steam Cooling Data (cont.)
h (z)
102.20
120.97
117.57
116.66
121.94
155.34
151.47
147.72
138.98
246.47
130.15
137.55
174.87
286.92
195.62
196.63
104.17
126.41
122.81
122.55
132.66
183.08
168.53
164.58
(W/m2-K)
106.19
122.62
121.60
118.94
125.55
160.14
149.96
147.27
±σhtc
18.06
17.48
16.42
15.50
14.74
16.34
15.42
14.81
24.64
37.31
18.23
18.46
21.64
32.82
20.52
20.34
18.41
18.31
17.22
16.42
16.18
19.69
17.48
16.79
(W/m2-K)
18.64
17.68
16.94
15.83
15.19
16.93
15.32
14.83
Fractional
17.67%
14.45%
13.96%
13.29%
12.09%
10.52%
10.18%
10.03%
17.73%
15.14%
14.00%
13.42%
12.37%
11.44%
10.49%
10.35%
17.67%
14.48%
14.02%
13.40%
12.19%
10.75%
10.37%
10.20%
Uncertainty
17.55%
14.42%
13.93%
13.31%
12.10%
10.57%
10.22%
10.07%
33.66
36.69
35.06
33.95
33.84
40.04
38.35
37.06
46.18
75.87
38.89
40.26
49.03
74.93
49.88
49.74
34.31
38.31
36.63
35.74
36.87
47.38
42.81
41.44
34.99
37.17
36.25
34.64
34.83
41.26
37.93
36.93
Nu(z)
A-389
Channel
Number
161
162
163
164
165
166
167
168
98
99
100
101
102
103
104
65
66
67
68
69
70
71
72
129
130
131
132
133
134
135
136
H.R.
Location
RodB4_88.4
RodB4_91.3
RodB4_93.3
RodB4_95.1
RodB4_100
RodB4_106
RodB4_109.9
RodB4_142.3
RodF4_85.6
RodF4_88.4
RodF4_92.4
RodF4_94.3
RodF4_97.2
RodF4_108.8
RodF4_111
RodD2_103.2
RodD2_106
RodD2_112.6
RodD2_114.9
RodD2_117.4
RodD2_120.8
RodD2_124.8
RodD2_128.6
RodD6_103.1
RodD6_106
RodD6_112.9
RodD6_114.9
RodD6_116.8
RodD6_120.9
RodD6_124.8
RodD6_128.7
2.619
2.692
2.868
2.918
2.967
3.071
3.170
3.269
2.621
2.692
2.860
2.918
2.982
3.068
3.170
3.266
2.174
2.245
2.347
2.395
2.469
2.764
2.819
(m)
2.245
2.319
2.370
2.416
2.540
2.692
2.791
3.614
Elevation
0.371
0.445
0.004
0.055
0.103
0.207
0.306
0.405
0.373
0.445
-0.004
0.055
0.118
0.204
0.306
0.403
0.374
-0.003
0.099
0.147
0.221
0.516
-0.044
(m)
-0.003
0.071
0.122
0.168
0.292
0.445
0.544
0.224
Zgrid
745.1
752.5
755.6
766.4
775.3
784.4
791.1
794.4
737.9
743.9
742.1
757.1
766.4
778.8
785.3
788.1
673.5
674.2
702.9
714.2
728.6
763.4
759.4
(K)
674.2
696.2
708.7
718.2
738.2
752.9
750.4
798.1
H.R.Tw
8789.8
8953.0
8173.1
7839.0
7521.0
6836.4
6183.3
5536.0
8784.9
8937.2
8205.6
7826.7
7415.3
6853.0
6196.6
5564.5
676.9
686.0
706.9
712.6
718.0
729.2
739.2
748.6
677.2
686.0
706.0
712.6
719.7
728.9
739.2
748.4
619.0
628.4
641.9
648.2
657.8
694.6
701.2
(K)
628.4
638.2
644.9
650.9
666.9
686.0
697.9
775.6
(W/m2)
7853.5
8014.1
8125.2
8221.9
8487.8
8818.6
8536.2
3330.1
7743.4
7897.1
8122.0
8230.8
8391.1
8860.9
8502.1
Tcl
H.R. q''
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.27
1.27
1.27
1.50
1.50
1.50
1.50
Factor
1.27
1.27
1.27
1.50
1.50
1.50
1.50
1.50
Correction
699.6
708.2
723.1
730.6
737.1
747.6
756.5
763.9
697.4
705.3
718.0
727.5
735.2
745.6
754.6
761.6
630.7
638.2
654.9
670.2
681.4
717.5
720.6
(K)
638.2
650.6
658.6
673.3
690.7
708.3
715.4
783.1
Tbulk
2209
2179
2128
2104
2083
2050
2023
2002
2217
2189
2145
2114
2089
2056
2029
2008
2489
2455
2383
2320
2277
2147
2137
2455
2401
2368
2308
2242
2179
2154
1947
Re (z)
Table SC-3248-D.1: Summary of Steam Cooling Data (cont.)
h (z)
193.24
201.95
251.35
218.59
196.82
185.86
178.85
181.45
216.97
231.60
340.78
263.89
238.39
206.17
201.76
210.48
180.63
219.75
169.41
187.10
177.72
193.26
219.29
(W/m2-K)
218.53
175.97
162.01
183.19
178.62
197.67
244.13
221.70
±σhtc
16.63
17.06
21.78
18.68
16.69
15.84
15.37
15.90
18.86
19.84
31.35
23.23
20.81
17.81
17.64
18.94
16.44
19.80
14.01
14.25
16.04
16.09
18.55
(W/m2-K)
19.75
14.88
13.23
13.83
15.78
16.76
21.02
23.99
Fractional
8.61%
8.45%
8.66%
8.55%
8.48%
8.52%
8.59%
8.76%
8.69%
8.57%
9.20%
8.80%
8.73%
8.64%
8.75%
9.00%
9.10%
9.01%
8.27%
7.62%
9.02%
8.33%
8.46%
Uncertainty
9.04%
8.46%
8.17%
7.55%
8.83%
8.48%
8.61%
10.82%
39.16
40.21
48.56
41.61
36.98
34.22
32.36
32.38
44.17
46.39
66.51
50.54
44.96
38.10
36.64
37.72
42.49
50.82
37.75
40.33
37.41
37.76
42.58
50.53
39.59
35.82
39.23
36.87
39.35
47.90
38.16
Nu(z)
A-390
169
170
171
172
173
174
175
176
89
90
91
92
93
94
95
96
121
122
123
124
125
126
127
128
RodB3_50.2
RodB3_54.1
RodB3_56.9
RodB3_60.1
RodB3_66.1
RodB3_69.9
RodB3_73
RodB3_75
RodF3_50.1
RodF3_54
RodF3_57
RodF3_60
RodF3_66.1
RodF3_70
RodF3_73
RodF3_75
RodE6_50.2
RodE6_54.1
RodE6_57
RodE6_60.2
RodE6_66.1
RodE6_70
RodE6_73.1
RodE6_75
Channel
Number
73
74
75
76
77
78
79
80
H.R.
Location
RodE2_50.1
RodE2_54
RodE2_56.9
RodE2_59.9
RodE2_66
RodE2_69.8
RodE2_72.9
RodE2_74.9
1.275
1.374
1.448
1.529
1.679
1.778
1.857
1.905
1.273
1.372
1.448
1.524
1.679
1.778
1.854
1.905
1.275
1.374
1.445
1.527
1.679
1.775
1.854
1.905
(m)
1.273
1.372
1.445
1.521
1.676
1.773
1.852
1.902
Elevation
0.081
0.180
0.254
0.335
0.485
-0.022
0.056
0.105
0.079
0.178
0.254
0.330
0.485
-0.022
0.054
0.105
0.081
0.180
0.251
0.333
0.485
-0.025
0.054
0.105
(m)
0.079
0.178
0.251
0.328
0.483
-0.027
0.051
0.102
Zgrid
557.1
574.1
583.9
596.3
612.6
604.5
625.3
637.5
563.3
582.7
594.2
605.0
616.0
608.4
629.0
642.3
555.2
572.3
584.0
595.8
609.9
600.0
621.8
634.5
(K)
559.3
579.3
590.7
603.0
616.5
607.1
625.2
634.9
H.R.Tw
5759.9
5977.3
6138.0
6317.2
6646.4
6859.7
7032.9
7139.5
5758.4
5979.9
6154.1
6324.3
6676.0
6898.1
7073.4
7188.4
504.2
515.7
524.5
534.5
553.5
566.3
576.7
583.1
503.9
515.4
524.5
533.9
553.5
566.3
576.3
583.1
504.2
515.7
524.2
534.2
553.5
566.0
576.3
583.1
(K)
503.9
515.4
524.2
533.6
553.1
565.7
576.0
582.7
(W/m2)
5791.6
6012.5
6177.8
6349.7
6694.4
6910.0
7086.6
7200.5
5760.4
5979.7
6137.5
6316.5
6657.1
6865.7
7043.3
7156.8
Tcl
H.R. q''
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
Factor
1.27
1.27
1.27
1.27
1.27
1.27
1.27
1.27
Correction
515.5
528.2
537.2
547.8
566.1
574.5
587.1
594.7
516.6
529.8
539.5
549.1
566.9
575.3
587.6
595.8
515.1
527.8
537.0
547.4
565.5
573.3
586.1
594.1
(K)
515.8
529.1
538.4
548.4
566.7
574.5
586.5
593.9
Tbulk
3158
3068
3007
2938
2825
2777
2707
2666
3150
3057
2992
2929
2821
2772
2704
2660
3161
3070
3008
2940
2829
2784
2712
2669
3157
3062
2998
2934
2822
2776
2710
2670
Re (z)
Table SC-3248-D.1: Summary of Steam Cooling Data (cont.)
h (z)
138.55
130.15
131.58
130.00
142.99
228.85
183.87
166.76
123.29
112.98
112.32
113.13
135.88
208.57
170.80
154.35
143.76
134.33
130.67
130.46
150.26
256.63
197.01
177.10
(W/m2-K)
133.17
119.77
118.34
116.32
134.51
212.31
183.45
175.53
±σhtc
21.03
18.49
17.85
16.75
16.89
26.62
19.95
17.45
18.65
15.98
15.12
14.52
15.95
23.87
18.34
15.97
21.85
19.10
17.74
16.83
17.78
30.36
21.52
18.59
(W/m2-K)
20.09
16.89
15.91
14.90
15.76
24.35
19.81
18.34
Fractional
15.18%
14.21%
13.57%
12.89%
11.82%
11.63%
10.85%
10.46%
15.13%
14.14%
13.46%
12.83%
11.74%
11.45%
10.74%
10.35%
15.20%
14.22%
13.57%
12.90%
11.83%
11.83%
10.92%
10.50%
Uncertainty
15.09%
14.10%
13.45%
12.81%
11.72%
11.47%
10.80%
10.45%
43.05
39.17
38.71
37.25
39.15
61.40
47.86
42.63
38.20
33.86
32.86
32.31
37.14
55.85
44.40
39.36
44.72
40.46
38.46
37.41
41.21
69.06
51.41
45.34
41.36
35.96
34.70
33.27
36.78
56.96
47.82
44.96
Nu(z)
RBHT Steam Cooling Test SC-3248-E
Matrix test # 2
Test date – 8/11/2005
Steady state time window: 32500 - 32800 sec
Inlet flow: 0.48 m3/min (17.0 ft3/min)
Inlet steam temperature: 407 K (274 °F)
Upper plenum pressure: 271.7 kPa (39.4 psia)
Bundle power: 14.0 kW
Outlet steam temperature: 585 K (594 °F)
Bundle inlet Reynolds number: 1938
Subchannel Centerline Temperatures
The equations below were correlated using the axial subchannel centerline temperature
distribution. Experiment SC-3248 was run with the traversing probes withdrawn.
Centerline steam temperatures used are from experiment SC-3166-B.
Subchannels D5 and E5 (use for inner 3x3 rod bundle thermocouple locations)
Tcl = -18.477x3 + 106.36x2 - 31.321x + 429.69
Subchannel C5 (use for 5x5 peripheral rod bundle thermocouple locations)
Tcl = -10.78x3 + 62.962x2 + 26.651x + 409.87
where x is the elevation (m) and Tcl is in (K)
A-391
A-392
A-393
A-394
Subchanne ls D5 and E5 Axial Te mpe rature Profile
y = -18.477x3 + 106.36x2 - 31.321x + 429.69
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
Elevation (m )
A-395
2.5
3
3.5
4
Subchannel C5 Axial Temperature Profile
y = -10.78x3 + 62.962x2 + 26.651x + 409.87
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
Elevation (m )
A-396
2.5
3
3.5
4
A-397
Channel
Number
185
186
187
188
189
190
191
192
233
234
235
236
237
238
239
240
241
242
243
244
248
201
202
204
205
208
193
194
195
196
197
198
199
200
H.R.
Location
RodD3_88.3
RodD3_91.3
RodD3_93.1
RodD3_95.3
RodD3_100.1
RodD3_106.1
RodD3_110
RodD3_142.1
RodC4_88.4
RodC4_91.1
RodC4_93.4
RodC4_95.3
RodC4_100.1
RodC4_106.1
RodC4_110
RodC4_142.2
RodD4_88.3
RodD4_91.3
RodD4_93.2
RodD4_95.2
RodD4_142.1
RodE4_88.4
RodE4_91.2
RodE4_95.3
RodE4_100.9
RodE4_142.3
RodE3_63.4
RodE3_113.6
RodE3_115.5
RodE3_118.5
RodE3_122.7
RodE3_126.5
RodE3_131.7
RodE3_135.6
1.610
2.885
2.934
3.010
3.117
3.213
3.345
3.444
2.245
2.316
2.421
2.563
3.614
2.243
2.319
2.367
2.418
3.609
2.245
2.314
2.372
2.421
2.543
2.695
2.794
3.612
(m)
2.243
2.319
2.365
2.421
2.543
2.695
2.794
3.609
Elevation
0.417
0.022
0.070
0.146
0.253
0.349
-0.046
0.053
-0.003
0.069
0.173
0.315
0.224
-0.005
0.071
0.119
0.170
0.218
-0.003
0.066
0.124
0.173
0.295
0.447
0.546
0.221
(m)
-0.005
0.071
0.117
0.173
0.295
0.447
0.546
0.218
Zgrid
626.7
801.8
807.8
816.2
823.0
826.4
828.5
830.4
716.1
730.3
753.5
775.1
836.8
719.5
734.9
746.5
757.4
840.0
710.7
727.8
740.2
750.7
773.6
786.9
789.8
835.7
(K)
710.3
727.9
740.3
753.3
774.4
789.7
792.8
833.1
H.R.Tw
3074.0
3783.3
3647.0
3419.7
3110.5
2825.5
2442.1
2146.9
3712.7
3784.3
3888.6
4030.3
1521.0
3767.1
3848.7
3898.0
3954.5
1506.6
3782.8
3855.7
3916.7
3967.0
4097.4
4256.3
4120.5
1557.7
(W/m2)
3740.0
3819.3
3868.3
3924.0
4050.9
4205.4
4156.1
1437.6
H.R. q''
577.9
781.0
786.7
795.2
805.9
814.2
823.5
828.7
686.5
698.2
715.0
737.0
833.6
686.0
698.6
706.5
714.6
833.5
686.5
697.8
707.3
715.0
734.0
756.1
769.5
833.5
(K)
686.0
698.6
706.1
715.0
734.0
756.1
769.5
831.5
Tcl
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Factor
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Correction
594.2
787.9
793.8
802.2
811.6
818.3
825.2
829.3
696.3
708.9
727.9
749.7
834.7
697.2
710.7
719.8
728.9
835.7
694.5
707.8
718.3
726.9
747.2
766.4
776.3
834.3
(K)
694.1
708.4
717.5
727.8
747.4
767.3
777.3
832.0
Tbulk
1423
1032
1023
1011
999
990
981
975
1185
1161
1127
1090
969
1183
1158
1141
1125
967
1188
1163
1144
1128
1094
1064
1049
969
1189
1162
1145
1127
1094
1062
1047
972
Re (z)
Table SC-3248-E.1: Summary of Steam Cooling Data
h (z)
94.53
272.39
258.96
244.62
272.28
348.53
730.23
1819.64
187.83
176.71
151.70
158.57
699.35
168.62
159.28
146.28
138.56
350.49
233.54
192.70
178.84
166.69
154.92
207.42
304.34
1090.44
(W/m2-K)
231.48
196.03
169.38
153.79
150.21
187.70
268.17
1373.84
23.12
37.96
35.88
33.94
40.60
61.71
254.47
1713.38
31.61
28.27
22.42
21.56
363.86
27.76
24.86
22.00
20.09
98.91
39.82
30.68
27.23
24.46
20.93
26.61
42.51
851.24
24.46%
13.94%
13.85%
13.87%
14.91%
17.70%
34.85%
94.16%
16.83%
16.00%
14.78%
13.59%
52.03%
16.46%
15.61%
15.04%
14.50%
28.22%
17.05%
15.92%
15.23%
14.67%
13.51%
12.83%
13.97%
78.06%
Fractional
Uncertainty
17.21%
16.05%
15.34%
14.69%
13.59%
12.73%
13.34%
106.11%
±σhtc
(W/m2-K)
39.84
31.46
25.99
22.59
20.41
23.90
35.78
1457.77
24.20
46.47
43.71
40.66
44.51
56.30
116.53
288.31
38.32
35.13
29.03
29.07
109.77
34.34
31.55
28.45
26.46
54.92
47.82
38.40
34.89
31.96
28.54
36.84
53.05
171.28
47.45
39.01
33.09
29.43
27.66
33.27
46.66
216.64
Nu(z)
A-398
Channel
Number
225
226
227
229
230
231
232
209
210
211
212
213
214
215
216
177
178
179
180
181
182
183
217
218
219
220
221
222
223
224
H.R.
Location
RodC5_63.7
RodC5_113.6
RodC5_115.7
RodC5_122.7
RodC5_126.7
RodC5_131.6
RodC5_135.7
RodE5_63.6
RodE5_113.6
RodE5_115.4
RodE5_118.7
RodE5_122.6
RodE5_126.6
RodE5_131.6
RodE5_135.6
RodC3_79.8
RodC3_85.6
RodC3_88.5
RodC3_92.4
RodC3_94.4
RodC3_97.2
RodC3_108.8
RodD5_50
RodD5_54.1
RodD5_56.9
RodD5_60
RodD5_66.1
RodD5_69.9
RodD5_72.9
RodD5_74.9
1.270
1.374
1.445
1.524
1.679
1.775
1.852
1.902
2.027
2.174
2.248
2.347
2.398
2.469
2.764
1.615
2.885
2.931
3.015
3.114
3.216
3.343
3.444
(m)
1.618
2.885
2.939
3.117
3.218
3.343
3.447
Elevation
0.076
0.180
0.251
0.330
0.485
-0.025
0.051
0.102
0.227
0.374
0.000
0.099
0.150
0.221
0.516
0.422
0.022
0.067
0.151
0.250
0.352
-0.048
0.053
(m)
0.424
0.022
0.075
0.253
0.354
-0.048
0.056
Zgrid
571.2
591.5
603.6
615.8
634.9
638.6
656.6
668.7
679.5
692.3
701.3
724.5
736.1
750.5
782.3
625.1
799.9
805.5
813.1
819.9
825.2
829.9
831.8
(K)
623.9
795.7
803.5
820.3
824.9
829.2
833.4
H.R.Tw
2731.8
2837.7
2913.7
2993.7
3155.1
3252.1
3332.9
3385.9
3501.2
3651.6
3727.3
3827.1
3882.7
3952.7
4164.0
3091.3
3807.6
3679.6
3439.4
3152.5
2859.9
2493.9
2200.4
(W/m2)
3021.4
3696.6
3548.5
3055.7
2770.4
2428.1
2134.3
H.R. q''
523.6
539.5
550.8
563.6
589.5
606.0
619.1
627.8
649.3
674.5
686.9
703.2
711.4
722.6
765.5
578.8
781.0
786.4
795.7
805.6
814.4
823.4
828.7
(K)
579.2
781.0
787.3
805.9
814.7
823.4
828.8
Tcl
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Factor
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Correction
539.5
556.9
568.4
581.0
604.6
616.8
631.6
641.4
659.4
680.4
691.7
710.3
719.6
731.9
771.1
594.2
787.3
792.8
801.5
810.4
818.0
825.5
829.7
(K)
594.1
785.9
792.7
810.7
818.1
825.3
830.3
Tbulk
1596
1537
1500
1461
1395
1362
1325
1302
1261
1216
1194
1158
1141
1120
1056
1423
1032
1025
1012
1000
990
980
975
1424
1034
1025
1000
990
981
974
Re (z)
Table SC-3248-E.1: Summary of Steam Cooling Data (cont.)
86.10
81.96
82.85
86.05
104.31
149.45
133.22
124.46
174.23
307.81
388.60
269.43
235.69
213.19
371.00
100.11
301.66
289.23
297.86
332.10
399.35
569.25
1038.59
(W/m2-K)
101.41
376.77
327.79
318.83
406.10
628.10
688.01
h (z)
26.43
23.42
22.54
22.21
24.34
33.16
27.97
25.20
33.31
58.57
75.96
45.04
37.22
31.76
55.95
24.34
43.34
41.37
44.15
53.79
76.10
156.67
552.72
30.70%
28.58%
27.20%
25.81%
23.34%
22.19%
21.00%
20.25%
19.12%
19.03%
19.55%
16.72%
15.79%
14.90%
15.08%
24.31%
14.37%
14.30%
14.82%
16.20%
19.06%
27.52%
53.22%
Uncertainty
24.82%
16.18%
15.44%
16.27%
19.80%
30.69%
37.28%
2
(W/m -K)
25.17
60.94
50.62
51.87
80.42
192.78
256.50
Fractional
±σhtc
25.18
22.96
22.56
22.73
26.05
36.28
31.27
28.57
38.45
64.93
80.05
53.41
45.85
40.47
65.31
25.62
51.52
48.91
49.58
54.40
64.53
90.78
164.42
25.96
64.52
55.43
52.20
65.62
100.21
108.81
Nu(z)
A-399
105
106
107
108
109
110
111
112
57
58
59
60
61
62
63
64
137
138
139
140
141
142
143
144
RodF5_41
RodF5_53.1
RodF5_55
RodF5_57.8
RodF5_64
RodF5_73.8
RodF5_75.8
RodF5_76.8
RodC2_41
RodC2_53.1
RodC2_55
RodC2_57.8
RodC2_63.9
RodC2_73.8
RodC2_75.8
RodC2_76.8
RodC6_40.9
RodC6_52.8
RodC6_54.8
RodC6_57.8
RodC6_63.8
RodC6_73.7
RodC6_75.8
RodC6_76.8
Channel
Number
153
154
155
156
157
158
159
160
H.R.
Location
RodB5_41
RodB5_52.9
RodB5_55
RodB5_57.8
RodB5_64
RodB5_73.9
RodB5_75.9
RodB5_76.9
1.039
1.341
1.392
1.468
1.621
1.872
1.925
1.951
1.041
1.349
1.397
1.468
1.623
1.875
1.925
1.951
1.041
1.349
1.397
1.468
1.626
1.875
1.925
1.951
(m)
1.041
1.344
1.397
1.468
1.626
1.877
1.928
1.953
Elevation
0.340
0.147
0.198
0.274
0.427
0.072
0.125
0.150
0.343
0.155
0.203
0.274
0.429
0.074
0.125
0.150
0.343
0.155
0.203
0.274
0.432
0.074
0.125
0.150
(m)
0.343
0.150
0.203
0.274
0.432
0.077
0.128
0.153
Zgrid
544.9
581.1
589.5
599.9
620.1
651.7
659.3
663.7
523.2
541.8
580.6
587.0
596.4
613.0
644.4
647.0
544.7
579.4
588.1
598.7
617.3
646.1
657.4
662.2
(K)
544.0
581.4
588.9
600.0
618.9
647.2
657.8
662.4
H.R.Tw
2465.3
2793.3
2849.9
2931.9
3098.0
3371.8
3431.2
3456.6
2476.0
2797.4
2849.6
2922.6
3085.0
3346.6
3400.3
3428.2
2463.2
2790.2
2839.3
2912.5
3078.5
3336.7
3388.4
3417.4
(W/m2)
2483.3
2799.8
2856.5
2929.1
3093.9
3354.8
3408.0
3433.1
H.R. q''
493.4
532.9
539.9
550.6
572.5
609.7
617.6
621.4
493.7
533.9
540.6
550.6
572.9
610.1
617.6
621.4
493.7
533.9
540.6
550.6
573.3
610.1
617.6
621.4
(K)
493.7
533.2
540.6
550.6
573.3
610.4
618.0
621.8
Tcl
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Factor
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Correction
510.6
548.9
556.4
567.0
588.4
623.7
631.5
635.5
503.6
536.5
553.9
562.7
580.7
611.0
626.6
629.9
510.7
549.1
556.4
566.6
588.0
622.1
630.9
635.0
(K)
510.5
549.3
556.7
567.1
588.5
622.7
631.3
635.4
Tbulk
1704
1563
1538
1504
1440
1345
1326
1316
1732
1606
1546
1518
1462
1377
1338
1329
1703
1563
1538
1505
1441
1349
1327
1317
1704
1562
1537
1504
1440
1347
1326
1316
Re (z)
Table SC-3248-E.1: Summary of Steam Cooling Data (cont.)
h (z)
71.84
86.85
86.11
89.26
97.77
120.45
123.59
122.61
125.98
529.59
106.91
120.26
196.91
1696.53
190.74
201.47
72.53
91.99
89.71
90.85
104.76
138.79
127.97
125.69
(W/m2-K)
74.09
87.17
88.62
88.94
101.66
137.05
128.63
126.73
26.16
25.49
24.38
23.97
23.67
24.74
24.51
23.91
46.01
188.34
30.32
32.59
49.25
993.87
39.12
40.85
26.41
26.98
25.45
24.56
25.50
28.90
25.70
24.79
36.42%
29.35%
28.31%
26.86%
24.21%
20.54%
19.83%
19.50%
36.52%
35.56%
28.36%
27.10%
25.01%
58.58%
20.51%
20.27%
36.42%
29.33%
28.37%
27.03%
24.34%
20.82%
20.08%
19.72%
Fractional
Uncertainty
36.14%
29.26%
28.21%
26.88%
24.21%
20.69%
19.97%
19.63%
±σhtc
(W/m2-K)
26.78
25.51
25.00
23.91
24.62
28.35
25.68
24.88
22.61
24.81
24.15
24.39
25.37
28.79
29.01
28.53
40.36
156.05
30.17
33.20
52.04
417.40
45.29
47.47
22.82
26.27
25.16
24.85
27.21
33.29
30.09
29.27
23.32
24.88
24.83
24.30
26.38
32.83
30.21
29.50
Nu(z)
A-400
Channel
Number
161
162
163
164
165
166
167
168
98
99
100
101
102
103
104
65
66
67
68
69
70
71
72
129
130
131
132
133
134
135
136
H.R.
Location
RodB4_88.4
RodB4_91.3
RodB4_93.3
RodB4_95.1
RodB4_100
RodB4_106
RodB4_109.9
RodB4_142.3
RodF4_85.6
RodF4_88.4
RodF4_92.4
RodF4_94.3
RodF4_97.2
RodF4_108.8
RodF4_111
RodD2_103.2
RodD2_106
RodD2_112.6
RodD2_114.9
RodD2_117.4
RodD2_120.8
RodD2_124.8
RodD2_128.6
RodD6_103.1
RodD6_106
RodD6_112.9
RodD6_114.9
RodD6_116.8
RodD6_120.9
RodD6_124.8
RodD6_128.7
2.619
2.692
2.868
2.918
2.967
3.071
3.170
3.269
2.621
2.692
2.860
2.918
2.982
3.068
3.170
3.266
2.174
2.245
2.347
2.395
2.469
2.764
2.819
(m)
2.245
2.319
2.370
2.416
2.540
2.692
2.791
3.614
Elevation
0.371
0.445
0.004
0.055
0.103
0.207
0.306
0.405
0.373
0.445
-0.004
0.055
0.118
0.204
0.306
0.403
0.374
-0.003
0.099
0.147
0.221
0.516
-0.044
(m)
-0.003
0.071
0.122
0.168
0.292
0.445
0.544
0.224
Zgrid
762.3
769.5
785.2
790.5
796.2
804.8
811.7
817.5
753.7
761.0
773.1
783.1
790.7
802.1
809.3
813.5
695.3
701.4
724.9
735.3
749.9
785.6
789.4
(K)
697.8
715.0
724.8
732.2
749.9
766.9
772.6
820.0
H.R.Tw
4149.9
4224.3
3852.5
3691.1
3542.4
3218.3
2910.8
2603.3
4138.0
4211.6
3859.7
3681.4
3488.7
3218.5
2905.6
2605.9
3662.9
3733.6
3839.7
3892.3
3968.6
4182.8
4016.6
(W/m2)
3709.6
3782.6
3833.2
3882.0
4005.2
4153.4
4021.3
1544.5
H.R. q''
717.9
727.7
749.9
756.0
761.6
773.3
783.7
793.3
718.2
727.7
748.9
756.0
763.4
773.0
783.7
793.0
654.7
665.1
679.9
686.8
697.2
736.9
743.9
(K)
665.1
675.8
683.2
689.7
707.1
727.7
740.4
801.0
Tcl
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Factor
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Correction
732.7
741.6
761.6
767.5
773.2
783.8
793.0
801.3
730.0
738.8
757.0
765.0
772.5
782.7
792.2
799.8
668.2
677.2
694.9
703.0
714.8
753.1
759.1
(K)
676.0
688.9
697.0
703.9
721.4
740.7
751.1
807.3
Tbulk
1119
1103
1071
1062
1053
1038
1024
1013
1123
1108
1078
1066
1054
1039
1025
1015
1242
1223
1188
1172
1150
1085
1075
1225
1199
1183
1170
1138
1105
1088
1004
Re (z)
Table SC-3248-E.1: Summary of Steam Cooling Data (cont.)
h (z)
140.21
151.25
163.65
160.53
153.59
153.06
155.64
161.14
174.73
189.63
239.70
203.17
191.48
165.81
170.33
191.11
135.18
154.27
127.93
120.29
113.10
128.72
132.50
(W/m2-K)
170.29
144.75
138.00
136.85
140.55
158.75
187.45
122.05
18.00
18.71
20.20
19.90
19.03
19.27
20.05
21.50
22.98
24.18
31.99
26.35
24.80
21.21
22.42
26.84
23.05
25.37
19.47
17.68
15.80
15.32
15.85
12.84%
12.37%
12.35%
12.40%
12.39%
12.59%
12.88%
13.34%
13.15%
12.75%
13.35%
12.97%
12.95%
12.79%
13.16%
14.04%
17.05%
16.45%
15.22%
14.69%
13.97%
11.90%
11.96%
Fractional
Uncertainty
16.67%
15.71%
15.16%
14.71%
13.64%
12.59%
12.64%
0.00%
±σhtc
(W/m2-K)
28.39
22.74
20.92
20.14
19.17
19.98
23.69
0.00
26.58
28.17
29.33
28.45
26.93
26.31
26.31
26.83
33.29
35.52
43.34
36.17
33.62
28.56
28.83
31.90
29.27
32.76
26.18
24.21
22.22
23.45
23.86
36.26
29.99
28.11
27.49
27.25
29.62
34.27
20.10
Nu(z)
A-401
169
170
171
172
173
174
175
176
89
90
91
92
93
94
95
96
121
122
123
124
125
126
127
128
RodB3_50.2
RodB3_54.1
RodB3_56.9
RodB3_60.1
RodB3_66.1
RodB3_69.9
RodB3_73
RodB3_75
RodF3_50.1
RodF3_54
RodF3_57
RodF3_60
RodF3_66.1
RodF3_70
RodF3_73
RodF3_75
RodE6_50.2
RodE6_54.1
RodE6_57
RodE6_60.2
RodE6_66.1
RodE6_70
RodE6_73.1
RodE6_75
Channel
Number
73
74
75
76
77
78
79
80
H.R.
Location
RodE2_50.1
RodE2_54
RodE2_56.9
RodE2_59.9
RodE2_66
RodE2_69.8
RodE2_72.9
RodE2_74.9
1.275
1.374
1.448
1.529
1.679
1.778
1.857
1.905
1.273
1.372
1.448
1.524
1.679
1.778
1.854
1.905
1.275
1.374
1.445
1.527
1.679
1.775
1.854
1.905
(m)
1.273
1.372
1.445
1.521
1.676
1.773
1.852
1.902
Elevation
0.081
0.180
0.254
0.335
0.485
-0.022
0.056
0.105
0.079
0.178
0.254
0.330
0.485
-0.022
0.054
0.105
0.081
0.180
0.251
0.333
0.485
-0.025
0.054
0.105
(m)
0.079
0.178
0.251
0.328
0.483
-0.027
0.051
0.102
Zgrid
564.4
581.3
591.7
604.4
622.5
626.8
642.1
652.5
570.4
588.8
599.6
609.4
624.9
629.9
645.9
658.2
560.1
576.2
587.7
599.2
615.3
619.0
633.9
644.8
(K)
566.5
586.8
597.6
608.5
625.1
629.8
642.9
651.8
H.R.Tw
2720.8
2824.6
2898.7
2983.8
3138.6
3240.6
3322.2
3372.9
2724.6
2825.3
2910.2
2988.5
3154.9
3260.8
3344.1
3398.2
2721.0
2823.7
2896.8
2984.2
3140.9
3243.0
3323.2
3377.3
(W/m2)
2738.0
2842.9
2921.4
3000.7
3166.5
3266.6
3350.3
3404.5
H.R. q''
523.9
537.4
547.7
559.3
581.1
595.7
607.4
614.6
523.5
537.1
547.7
558.6
581.1
595.7
607.0
614.6
523.9
537.4
547.4
558.9
581.1
595.3
607.0
614.6
(K)
523.5
537.1
547.4
558.2
580.7
595.0
606.7
614.2
Tcl
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Factor
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Correction
537.4
552.0
562.4
574.3
594.9
606.1
619.0
627.2
539.1
554.3
565.0
575.5
595.7
607.1
620.0
629.1
536.0
550.4
560.8
572.4
592.5
603.2
616.0
624.7
(K)
537.8
553.6
564.1
575.0
595.5
606.6
618.8
626.7
Tbulk
1603
1553
1519
1482
1421
1391
1357
1336
1597
1545
1510
1478
1419
1388
1354
1331
1608
1558
1524
1488
1428
1398
1365
1342
1601
1547
1513
1480
1420
1389
1357
1337
Re (z)
Table SC-3248-E.1: Summary of Steam Cooling Data (cont.)
h (z)
100.72
96.53
98.93
99.33
113.62
156.52
143.73
133.60
87.24
81.98
84.17
88.24
107.90
142.92
128.97
116.92
112.50
109.07
107.59
111.12
137.54
205.59
185.30
167.80
(W/m2-K)
95.67
85.80
87.27
89.48
106.90
140.81
138.49
136.09
31.06
27.77
27.09
25.74
26.70
34.90
30.30
27.20
26.83
23.54
22.91
22.82
25.20
31.54
26.92
23.52
34.76
31.46
29.56
28.88
32.51
46.75
39.72
34.54
30.83%
28.77%
27.39%
25.91%
23.50%
22.30%
21.08%
20.36%
30.75%
28.72%
27.22%
25.87%
23.36%
22.07%
20.87%
20.12%
30.90%
28.84%
27.47%
25.99%
23.64%
22.74%
21.44%
20.58%
Fractional
Uncertainty
30.65%
28.57%
27.16%
25.80%
23.30%
22.06%
20.92%
20.23%
±σhtc
(W/m2-K)
29.32
24.51
23.70
23.08
24.90
31.06
28.98
27.53
29.62
27.37
27.34
26.66
29.03
38.96
34.72
31.67
25.54
23.11
23.11
23.62
27.52
35.49
31.08
27.60
33.20
31.05
29.85
29.97
35.34
51.51
45.07
40.01
28.10
24.23
24.02
23.98
27.28
35.01
33.47
32.30
Nu(z)
RBHT Steam Cooling Test SC-3248-F
Matrix test # 1
Test date – 8/11/2005
Steady state time window: 34900 - 35200 sec
Inlet flow: 0.34 m3/min (12.0 ft3/min)
Inlet steam temperature: 407 K (273 °F)
Upper plenum pressure: 271.7 kPa (39.4 psia)
Bundle power: 10.2 kW
Outlet steam temperature: 580 K (585 °F)
Bundle inlet Reynolds number: 1370
Subchannel Centerline Temperatures
The equations below were correlated using the axial subchannel centerline temperature
distribution. Experiment SC-3248 was run with the traversing probes withdrawn.
Centerline steam temperatures used are from experiment SC-3166-C.
Subchannels D5 and E5 (use for inner 3x3 rod bundle thermocouple locations)
Tcl = -15.802x3 + 89.248x2 - 6.8734x + 421.94
Subchannel C5 (use for 5x5 peripheral rod bundle thermocouple locations)
Tcl = -10.723x3 + 60.253x2 + 30.582x + 409.62
where x is the elevation (m) and Tcl is in (°C)
A-402
A-403
A-404
A-405
Subchannels D5 and E5 Axial Temperature Profile
y = -15.802x3 + 89.248x2 - 6.8734x + 421.94
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
Elevation (m)
A-406
2.5
3
3.5
4
Subchannel C5 Axial Temperature Profile
3
2
y = -10.723x + 60.253x + 30.582x + 409.62
900
Temperature (deg K)
800
700
600
500
400
300
0
0.5
1
1.5
2
Elevation (m )
A-407
2.5
3
3.5
4
A-408
Channel
Number
185
186
187
188
189
190
191
192
233
234
235
236
237
238
239
240
241
242
243
244
248
201
202
204
205
208
193
194
195
196
197
198
199
200
H.R.
Location
RodD3_88.3
RodD3_91.3
RodD3_93.1
RodD3_95.3
RodD3_100.1
RodD3_106.1
RodD3_110
RodD3_142.1
RodC4_88.4
RodC4_91.1
RodC4_93.4
RodC4_95.3
RodC4_100.1
RodC4_106.1
RodC4_110
RodC4_142.2
RodD4_88.3
RodD4_91.3
RodD4_93.2
RodD4_95.2
RodD4_142.1
RodE4_88.4
RodE4_91.2
RodE4_95.3
RodE4_100.9
RodE4_142.3
RodE3_63.4
RodE3_113.6
RodE3_115.5
RodE3_118.5
RodE3_122.7
RodE3_126.5
RodE3_131.7
RodE3_135.6
1.610
2.885
2.934
3.010
3.117
3.213
3.345
3.444
2.245
2.316
2.421
2.563
3.614
2.243
2.319
2.367
2.418
3.609
2.245
2.314
2.372
2.421
2.543
2.695
2.794
3.612
(m)
2.243
2.319
2.365
2.421
2.543
2.695
2.794
3.609
Elevation
0.417
0.022
0.070
0.146
0.253
0.349
-0.046
0.053
-0.003
0.069
0.173
0.315
0.224
-0.005
0.071
0.119
0.170
0.218
-0.003
0.066
0.124
0.173
0.295
0.447
0.546
0.221
(m)
-0.005
0.071
0.117
0.173
0.295
0.447
0.546
0.218
Zgrid
611.5
782.7
788.3
795.8
802.5
806.5
811.2
814.2
702.2
714.8
735.0
754.7
820.7
706.4
720.2
730.5
740.3
823.7
697.2
712.7
724.4
733.9
753.6
765.2
770.4
819.3
(K)
697.6
712.8
723.9
735.3
753.6
768.0
773.6
817.9
H.R.Tw
2237.0
2766.9
2667.2
2510.8
2296.8
2097.7
1821.9
1619.6
2701.2
2752.0
2835.2
2944.4
1187.7
2741.4
2798.5
2837.7
2879.1
1177.5
2752.3
2803.1
2849.5
2890.2
2995.3
3116.3
3014.6
1216.2
(W/m2)
2718.9
2776.4
2812.4
2860.4
2962.8
3078.6
3036.9
1121.2
H.R. q''
576.3
765.6
770.9
778.9
789.1
797.1
806.2
811.4
677.6
688.5
704.1
724.5
816.9
677.2
688.9
696.2
703.7
816.8
677.6
688.1
697.0
704.1
721.7
742.3
754.8
816.9
(K)
677.2
688.9
695.8
704.1
721.7
742.3
754.8
816.8
Tcl
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Factor
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Correction
588.1
771.3
776.7
784.5
793.5
800.2
807.8
812.3
685.8
697.3
714.4
734.6
818.2
686.9
699.3
707.6
715.9
819.1
684.1
696.3
706.1
714.0
732.3
749.9
760.0
817.7
(K)
684.0
696.9
705.2
714.5
732.3
750.9
761.1
817.2
Tbulk
1016
745
739
731
722
715
708
704
850
834
812
787
698
849
832
821
810
697
853
836
823
812
789
769
757
699
853
835
824
812
789
768
756
699
Re (z)
Table SC-3248-F.1: Summary of Steam Cooling Data
h (z)
95.28
242.23
229.65
223.17
255.67
334.43
543.77
860.25
164.61
157.21
137.78
146.55
466.71
140.77
134.00
124.04
118.12
255.97
210.99
171.18
155.62
145.64
140.76
204.71
289.96
750.51
(W/m2-K)
199.94
174.30
150.32
137.57
139.50
179.77
242.49
1607.53
31.46
41.94
39.49
38.64
47.87
75.22
194.20
517.52
36.13
32.74
26.35
25.48
212.37
30.13
27.12
24.12
22.08
71.14
46.88
35.40
30.61
27.51
24.26
33.46
51.42
521.06
33.02%
17.31%
17.20%
17.31%
18.72%
22.49%
35.71%
60.16%
21.95%
20.83%
19.12%
17.39%
45.50%
21.41%
20.24%
19.45%
18.69%
27.79%
22.22%
20.68%
19.67%
18.89%
17.24%
16.35%
17.73%
69.43%
Fractional
Uncertainty
22.32%
20.86%
19.91%
18.97%
17.38%
16.14%
16.65%
158.83%
±σhtc
(W/m2-K)
44.63
36.35
29.92
26.10
24.25
29.01
40.37
2553.23
24.74
42.62
40.00
38.31
43.17
55.79
89.48
140.43
34.33
32.01
27.09
27.67
75.40
29.29
27.17
24.72
23.15
41.29
44.16
34.92
31.12
28.65
26.70
37.52
52.12
121.36
41.86
35.52
30.11
27.04
26.46
32.88
43.50
260.17
Nu(z)
A-409
177
178
179
180
181
182
183
217
218
219
220
221
222
223
224
RodC3_79.8
RodC3_85.6
RodC3_88.5
RodC3_92.4
RodC3_94.4
RodC3_97.2
RodC3_108.8
RodD5_50
RodD5_54.1
RodD5_56.9
RodD5_60
RodD5_66.1
RodD5_69.9
RodD5_72.9
RodD5_74.9
1.270
1.374
1.445
1.524
1.679
1.775
1.852
1.902
2.027
2.174
2.248
2.347
2.398
2.469
2.764
1.615
2.885
2.931
3.015
3.114
3.216
3.343
3.444
209
210
211
212
213
214
215
216
RodE5_63.6
RodE5_113.6
RodE5_115.4
RodE5_118.7
RodE5_122.6
RodE5_126.6
RodE5_131.6
RodE5_135.6
Elevation
(m)
1.618
2.885
2.939
3.117
3.218
3.343
3.447
Channel
Location
Number
RodC5_63.7
225
RodC5_113.6
226
RodC5_115.7
227
RodC5_122.7
229
RodC5_126.7
230
RodC5_131.6
231
RodC5_135.7
232
H.R.
0.076
0.180
0.251
0.330
0.485
-0.025
0.051
0.102
0.227
0.374
0.000
0.099
0.150
0.221
0.516
0.422
0.022
0.067
0.151
0.250
0.352
-0.048
0.053
(m)
0.424
0.022
0.075
0.253
0.354
-0.048
0.056
Zgrid
561.0
578.7
589.6
600.5
619.9
628.8
644.8
654.8
664.6
679.3
691.7
711.8
721.9
734.4
763.8
609.8
782.5
787.4
794.6
800.9
806.1
813.2
816.3
(K)
608.1
777.8
784.7
800.2
804.8
811.1
816.4
H.R.Tw
1956.3
2045.2
2103.0
2168.9
2286.5
2350.9
2407.8
2448.5
2543.0
2652.9
2702.9
2772.2
2819.0
2877.6
3041.1
2247.0
2778.2
2688.7
2520.3
2324.0
2117.5
1853.6
1655.5
(W/m2)
2193.5
2698.1
2593.9
2251.6
2056.7
1811.3
1612.4
H.R. q''
524.8
540.0
550.7
562.8
587.2
602.6
614.9
623.1
643.1
666.5
678.0
693.1
700.7
711.2
751.0
577.1
765.6
770.6
779.4
788.8
797.3
806.0
811.4
(K)
577.5
765.6
771.5
789.1
797.5
806.0
811.5
Tcl
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Factor
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Correction
536.9
552.9
563.7
575.4
598.1
611.4
624.9
633.6
650.3
670.7
682.5
699.4
707.8
718.9
755.3
588.0
771.2
776.2
784.5
792.9
800.2
808.4
813.0
(K)
587.7
769.6
775.9
792.8
799.9
807.7
813.1
Tbulk
1132
1093
1068
1043
996
971
947
931
904
872
855
832
820
806
763
1016
745
740
731
723
715
708
703
1017
747
740
723
716
708
703
Re (z)
Table SC-3248-F.1: Summary of Steam Cooling Data (cont.)
80.96
79.26
81.16
86.23
104.91
134.81
120.88
115.84
177.39
311.58
296.37
222.90
199.56
185.95
356.82
103.14
246.34
240.50
250.00
288.51
358.92
388.00
506.32
(W/m2-K)
107.55
331.70
293.21
302.08
418.54
530.42
492.18
h (z)
34.28
31.00
30.14
30.23
33.13
40.28
34.12
31.50
45.41
79.45
71.45
47.61
40.37
35.44
69.00
33.91
42.73
41.72
44.77
56.57
83.60
104.16
183.83
42.34%
39.11%
37.13%
35.06%
31.58%
29.88%
28.22%
27.19%
25.60%
25.50%
24.11%
21.36%
20.23%
19.06%
19.34%
32.87%
17.35%
17.35%
17.91%
19.61%
23.29%
26.85%
36.31%
Uncertainty
33.65%
19.97%
19.20%
20.62%
26.55%
35.18%
36.33%
2
(W/m -K)
36.18
66.24
56.30
62.28
111.12
186.61
178.82
Fractional
±σhtc
23.84
22.42
22.36
23.09
26.61
33.15
28.81
27.06
39.94
67.09
62.24
45.19
39.76
36.23
64.72
26.79
43.35
41.93
42.92
48.78
59.88
63.78
82.55
27.95
58.55
51.15
51.08
69.86
87.30
80.23
Nu(z)
A-410
105
106
107
108
109
110
111
112
57
58
59
60
61
62
63
64
137
138
139
140
141
142
143
144
RodF5_41
RodF5_53.1
RodF5_55
RodF5_57.8
RodF5_64
RodF5_73.8
RodF5_75.8
RodF5_76.8
RodC2_41
RodC2_53.1
RodC2_55
RodC2_57.8
RodC2_63.9
RodC2_73.8
RodC2_75.8
RodC2_76.8
RodC6_40.9
RodC6_52.8
RodC6_54.8
RodC6_57.8
RodC6_63.8
RodC6_73.7
RodC6_75.8
RodC6_76.8
Channel
Number
153
154
155
156
157
158
159
160
H.R.
Location
RodB5_41
RodB5_52.9
RodB5_55
RodB5_57.8
RodB5_64
RodB5_73.9
RodB5_75.9
RodB5_76.9
1.039
1.341
1.392
1.468
1.621
1.872
1.925
1.951
1.041
1.349
1.397
1.468
1.623
1.875
1.925
1.951
1.041
1.349
1.397
1.468
1.626
1.875
1.925
1.951
(m)
1.041
1.344
1.397
1.468
1.626
1.877
1.928
1.953
Elevation
0.340
0.147
0.198
0.274
0.427
0.072
0.125
0.150
0.343
0.155
0.203
0.274
0.429
0.074
0.125
0.150
0.343
0.155
0.203
0.274
0.432
0.074
0.125
0.150
(m)
0.343
0.150
0.203
0.274
0.432
0.077
0.128
0.153
Zgrid
531.8
567.3
574.9
584.1
603.3
636.9
643.3
647.1
510.0
529.1
568.2
574.1
582.4
599.3
632.8
634.4
530.9
565.8
573.8
583.7
601.9
632.2
641.8
646.1
(K)
532.8
569.9
576.4
585.9
603.8
633.1
642.6
646.9
H.R.Tw
1781.2
2019.4
2064.3
2131.1
2258.6
2448.7
2494.4
2516.7
1790.9
2022.3
2055.7
2113.5
2235.4
2430.5
2458.3
2479.8
1785.5
2017.0
2057.4
2115.4
2237.8
2418.9
2462.4
2483.5
(W/m2)
1791.5
2021.4
2067.4
2126.9
2253.3
2436.4
2478.9
2499.2
H.R. q''
494.4
533.1
540.0
550.5
571.8
607.7
615.3
619.0
494.7
534.2
540.7
550.5
572.1
608.0
615.3
619.0
494.7
534.2
540.7
550.5
572.5
608.0
615.3
619.0
(K)
494.7
533.5
540.7
550.5
572.5
608.4
615.7
619.3
Tcl
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Factor
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Correction
506.8
544.5
551.6
561.7
582.3
617.4
624.6
628.3
499.8
532.5
549.9
558.3
575.5
605.1
621.1
624.1
506.8
544.7
551.7
561.6
582.3
616.1
624.1
628.0
(K)
507.4
545.6
552.6
562.3
582.9
616.6
624.7
628.5
Tbulk
1213
1113
1096
1073
1028
960
947
941
1233
1143
1100
1081
1043
983
953
948
1213
1113
1096
1073
1028
962
948
941
1211
1111
1094
1072
1027
961
947
940
Re (z)
Table SC-3248-F.1: Summary of Steam Cooling Data (cont.)
h (z)
71.50
88.73
88.72
94.90
107.47
125.46
133.66
134.01
175.58
-596.71
112.19
134.19
327.90
-415.13
211.27
240.42
74.07
95.67
93.11
95.30
114.13
150.17
139.43
137.11
(W/m2-K)
70.47
83.30
86.88
89.96
107.95
147.77
138.14
136.17
35.75
35.59
34.22
34.59
35.12
34.62
35.58
35.01
88.89
304.07
43.57
49.73
118.82
136.57
59.01
67.05
36.93
38.36
36.00
34.99
37.62
42.24
37.64
36.31
49.99%
40.11%
38.58%
36.45%
32.68%
27.59%
26.62%
26.13%
50.63%
-50.96%
38.83%
37.06%
36.24%
-32.90%
27.93%
27.89%
49.85%
40.10%
38.66%
36.71%
32.96%
28.13%
27.00%
26.48%
Fractional
Uncertainty
49.67%
40.00%
38.44%
36.48%
32.70%
27.89%
26.79%
26.29%
±σhtc
(W/m2-K)
35.00
33.32
33.40
32.82
35.30
41.21
37.01
35.80
22.72
25.63
25.18
26.27
28.30
30.42
31.87
31.69
56.80
-177.65
31.98
37.46
87.76
-103.56
50.78
57.40
23.54
27.62
26.42
26.39
30.05
36.52
33.29
32.44
22.36
24.00
24.60
24.87
28.38
35.89
32.94
32.19
Nu(z)
A-411
Channel
Number
161
162
163
164
165
166
167
168
98
99
100
101
102
103
104
65
66
67
68
69
70
71
72
129
130
131
132
133
134
135
136
H.R.
Location
RodB4_88.4
RodB4_91.3
RodB4_93.3
RodB4_95.1
RodB4_100
RodB4_106
RodB4_109.9
RodB4_142.3
RodF4_85.6
RodF4_88.4
RodF4_92.4
RodF4_94.3
RodF4_97.2
RodF4_108.8
RodF4_111
RodD2_103.2
RodD2_106
RodD2_112.6
RodD2_114.9
RodD2_117.4
RodD2_120.8
RodD2_124.8
RodD2_128.6
RodD6_103.1
RodD6_106
RodD6_112.9
RodD6_114.9
RodD6_116.8
RodD6_120.9
RodD6_124.8
RodD6_128.7
2.619
2.692
2.868
2.918
2.967
3.071
3.170
3.269
2.621
2.692
2.860
2.918
2.982
3.068
3.170
3.266
2.174
2.245
2.347
2.395
2.469
2.764
2.819
(m)
2.245
2.319
2.370
2.416
2.540
2.692
2.791
3.614
Elevation
0.371
0.445
0.004
0.055
0.103
0.207
0.306
0.405
0.373
0.445
-0.004
0.055
0.118
0.204
0.306
0.403
0.374
-0.003
0.099
0.147
0.221
0.516
-0.044
(m)
-0.003
0.071
0.122
0.168
0.292
0.445
0.544
0.224
Zgrid
743.0
749.9
768.0
772.8
778.1
786.2
792.9
799.2
735.0
742.4
759.4
767.1
773.7
785.1
792.4
796.9
678.0
686.4
706.9
716.3
730.0
765.0
770.5
(K)
698.9
698.9
707.1
713.4
729.2
746.6
754.8
803.3
H.R.Tw
3028.9
3082.0
2814.2
2702.3
2597.6
2371.1
2156.7
1937.3
3019.6
3071.6
2814.2
2686.4
2546.2
2363.2
2140.7
1935.7
2674.7
2721.9
2799.7
2841.5
2899.0
3065.8
2937.8
(W/m2)
2751.9
2751.9
2792.1
2827.9
2927.1
3037.2
2937.1
1209.0
H.R. q''
710.3
719.4
739.9
745.5
750.7
761.2
770.5
778.9
710.7
719.4
739.1
745.5
752.3
761.0
770.5
778.7
650.7
660.7
674.7
681.2
691.0
728.0
734.5
(K)
660.7
670.8
677.8
683.9
700.3
719.4
731.2
801.0
Tcl
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Factor
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Correction
721.2
729.6
749.3
754.6
759.8
769.5
777.9
785.7
718.8
727.1
745.9
752.7
759.4
769.0
777.8
784.8
659.8
669.2
685.4
692.9
704.0
740.3
746.5
(K)
673.4
680.2
687.5
693.8
710.0
728.5
739.1
801.8
Tbulk
803
793
769
763
758
747
738
730
806
796
773
766
758
748
738
731
889
875
851
840
825
780
773
868
858
848
839
818
794
781
714
Re (z)
Table SC-3248-F.1: Summary of Steam Cooling Data (cont.)
h (z)
139.24
151.93
150.66
148.40
142.30
142.46
144.33
142.72
185.90
200.71
207.31
186.60
177.94
147.11
146.42
159.22
147.39
158.90
130.34
121.42
111.56
124.15
122.44
(W/m2-K)
107.87
146.91
142.98
143.77
151.71
167.71
187.10
775.64
22.89
23.96
23.36
23.09
22.11
22.42
23.13
23.35
31.72
33.12
34.29
30.43
29.05
23.39
23.69
26.88
33.36
34.52
25.98
23.25
20.16
18.57
18.37
16.44%
15.77%
15.51%
15.56%
15.54%
15.74%
16.03%
16.36%
17.06%
16.50%
16.54%
16.31%
16.32%
15.90%
16.18%
16.88%
22.63%
21.73%
19.93%
19.15%
18.07%
14.96%
15.00%
Fractional
Uncertainty
21.00%
20.68%
19.91%
19.28%
17.73%
16.17%
16.14%
72.08%
±σhtc
(W/m2-K)
22.65
30.39
28.46
27.72
26.90
27.11
30.19
559.05
27.00
28.97
27.65
26.95
25.59
25.15
25.08
24.45
36.23
38.47
38.29
34.02
32.02
26.00
25.46
27.32
32.50
34.33
27.21
24.95
22.40
23.18
22.59
23.10
31.00
29.71
29.49
30.10
32.05
35.02
129.04
Nu(z)
A-412
169
170
171
172
173
174
175
176
89
90
91
92
93
94
95
96
121
122
123
124
125
126
127
128
RodB3_50.2
RodB3_54.1
RodB3_56.9
RodB3_60.1
RodB3_66.1
RodB3_69.9
RodB3_73
RodB3_75
RodF3_50.1
RodF3_54
RodF3_57
RodF3_60
RodF3_66.1
RodF3_70
RodF3_73
RodF3_75
RodE6_50.2
RodE6_54.1
RodE6_57
RodE6_60.2
RodE6_66.1
RodE6_70
RodE6_73.1
RodE6_75
Channel
Number
73
74
75
76
77
78
79
80
H.R.
Location
RodE2_50.1
RodE2_54
RodE2_56.9
RodE2_59.9
RodE2_66
RodE2_69.8
RodE2_72.9
RodE2_74.9
1.275
1.374
1.448
1.529
1.679
1.778
1.857
1.905
1.273
1.372
1.448
1.524
1.679
1.778
1.854
1.905
1.275
1.374
1.445
1.527
1.679
1.775
1.854
1.905
(m)
1.273
1.372
1.445
1.521
1.676
1.773
1.852
1.902
Elevation
0.081
0.180
0.254
0.335
0.485
-0.022
0.056
0.105
0.079
0.178
0.254
0.330
0.485
-0.022
0.054
0.105
0.081
0.180
0.251
0.333
0.485
-0.025
0.054
0.105
(m)
0.079
0.178
0.251
0.328
0.483
-0.027
0.051
0.102
Zgrid
554.6
569.2
578.0
589.9
608.8
617.1
630.6
638.9
559.0
575.1
585.1
594.2
611.5
620.3
633.8
643.9
549.8
564.3
574.9
584.8
601.0
610.0
623.1
632.1
(K)
555.4
573.1
582.3
591.9
610.1
618.5
631.1
638.0
H.R.Tw
1954.9
2039.0
2101.2
2166.3
2277.4
2345.5
2402.6
2442.8
1960.1
2045.1
2110.6
2171.2
2290.2
2359.6
2418.8
2461.1
1960.3
2043.6
2103.6
2171.2
2288.0
2352.7
2408.0
2450.4
(W/m2)
1969.3
2055.0
2117.8
2181.8
2297.8
2362.6
2420.8
2461.1
H.R. q''
524.3
537.6
547.6
558.9
580.1
594.2
605.5
612.4
524.0
537.2
547.6
558.2
580.1
594.2
605.1
612.4
524.3
537.6
547.3
558.6
580.1
593.8
605.1
612.4
(K)
524.0
537.2
547.3
557.9
579.7
593.5
604.8
612.0
Tcl
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Factor
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
Correction
534.4
548.1
557.8
569.2
589.6
601.8
613.8
621.2
535.7
549.9
560.1
570.2
590.5
602.9
614.7
622.9
532.8
546.5
556.5
567.3
587.0
599.2
611.1
619.0
(K)
534.5
549.2
559.0
569.2
589.8
601.8
613.5
620.7
Tbulk
1138
1105
1082
1056
1013
989
967
953
1135
1100
1077
1054
1011
987
965
950
1142
1108
1085
1060
1019
994
972
957
1138
1102
1079
1056
1013
989
967
954
Re (z)
Table SC-3248-F.1: Summary of Steam Cooling Data (cont.)
h (z)
96.76
96.84
103.68
104.97
119.04
153.29
143.64
138.37
83.97
81.10
84.54
90.51
109.40
135.77
126.69
117.39
115.38
114.60
114.40
123.96
164.12
218.80
200.59
186.86
(W/m2-K)
94.08
85.95
90.86
96.12
113.38
141.85
137.85
142.13
41.02
38.09
38.65
36.91
37.87
46.15
40.85
37.93
35.47
31.76
31.27
31.72
34.53
40.40
35.63
31.73
48.95
45.14
42.74
43.73
52.71
67.60
58.37
52.12
42.40%
39.34%
37.28%
35.16%
31.81%
30.11%
28.44%
27.41%
42.24%
39.16%
36.99%
35.05%
31.56%
29.76%
28.13%
27.03%
42.43%
39.39%
37.36%
35.28%
32.12%
30.90%
29.10%
27.89%
Fractional
Uncertainty
42.11%
39.00%
36.94%
34.96%
31.52%
29.84%
28.24%
27.29%
±σhtc
(W/m2-K)
39.62
33.52
33.57
33.60
35.74
42.33
38.93
38.79
28.66
27.72
28.98
28.53
30.80
38.53
35.11
33.25
24.80
23.12
23.49
24.54
28.25
34.05
30.91
28.11
34.32
32.94
32.08
33.85
42.73
55.34
49.34
45.14
27.87
24.54
25.32
26.13
29.32
35.66
33.72
34.20
Nu(z)
Appendix B.
Single Point Uncertainty Analysis
Single point uncertainty or replication analysis provides a method for predicting the uncertainty of
a variable based on its component uncertainties. If one measures n quantities (or variables), x1,
x2, ..., xn, and each of these quantities has a known experimental uncertainty associated with it,
which shall be denoted by w, then the actual or true xi = measured xi  wxi, for each of the n
measured xi quantities. Furthermore, unless otherwise specified, each of these uncertainties has
a confidence level of 95 percent. Suppose now that some new variable, R, is a function of each
of these measured quantities, i.e. R = R(x1, x2, ..., xn). The goal in replication analysis is to
estimate the uncertainty in R to that same confidence level, i.e. actual or true R = calculated R 
wR, where wR is the uncertainty on variable R. To accomplish this, the root of the sum of the
squares (RSS) method (A.1 Rabinovich) will be used, which defines wR as,
(B-1)
where wXi is the uncertainty of a specific variable and
R
is the sensitivity coefficient for that
X i
particular variable.
B.1.
Heat Transfer Coefficient
In the case of the RBHT steam cooling tests, it is desired to calculate the overall RSS uncertainty
associated with the experimental heat transfer coefficient, which is defined as,
h
q"
(Tw  Tbulk )
(B-2)
where Tw is the rod surface temperature and Tbulk is the mean bulk fluid temperature for a
subchannel, defined as
Tbulk  Tw 
(Tc  Tw )
F
(B-3)
where Tc is the measured subchannel centerline temperature and F is the Tbulk correlation factor.
The local heat flux, q” is defined as
q" 
P / HR
 f z 
A
(B-4)
where P is the measured bundle power, HR is the number of heater rods, A is the rod surface
B-1
area, and f(z) is the axial power factor.
Using Equations (B-1) through (B-4) along with the uncertainties of the measured quantities Tw,
Tc, and bundle power it is possible to calculate the total uncertainty associated with the
convective heat transfer coefficient.
The uncertainty of the convective heat transfer coefficient will be calculated for test 3163-A,
heater rod D3, at 2.24m elevation using the RSS replication analysis.
Test 3163-A conditions:
Upper Plenum Pressure: 2.76 bar (40 psia)
Bundle power: 30 kW
Inlet Reynolds number: 6000
Steam flow 122.5 kg/hr
Heater Rods= 45
Heater rod geometry:
Diameter: 9.5 mm
Surface Area: 0.107m2
Length: 3.66 m
Data for heater rod D3 at 2.24m (88.3 in) is given as:
Twi = 684.1 K
Tc = 646.8 K
F = 1.27
f(z) = 1.32
Uncertainties from Table 8 are given as:
wTw =  1.17 K
wTc =  1.17 K
wP =  1290.35 W
wD =  0.05 mm
Throughout this sample calculation, the uncertainty in the heater rod length and the f(z)
measurements has been neglected because it is sufficiently smaller than the largest uncertainty.
Also, since there is no uncertainty in the measurement of the number of heater rods, this value
does not contribute to the final value of the convection coefficient uncertainty. Finally, the
uncertainty in the temperature difference between the inside wall of the heater rod cladding,
where the thermocouple has been attached, and the outside surface temperature can be
neglected.
Although the measurements were taken from the inside of the heater rod, the uncertainty in
moving this to the outer surface is negligible. This can be shown by first performing an
uncertainty analysis on the following equation for Q, the total amount of heat transferred,
Q
(Ti  To )  (2    k  L)
r 
ln o 
 ri 
(B-5)
where Ti is the inside wall temperature, To is the temperature at the outermost surface of the fuel
rod, k is the thermal conductivity, L is the rod length, ro is the outside radius of the rod and ri is the
inside radius of the rod.
B-2
This equation must first be solved for To resulting in the following expression;
r 
Q  ln o 
 ri 
To  Ti 
2   k  L
Applying Equation B-1 for the uncertainty gives a general formula for the uncertainty in To ,
1
2
2
2
2
2
2 2
 T
  To
  To
  To
  To
  To
 
o
 wQ   
 wTi   
 wro   
 wri   
 wk   
 wL  
wTo  
 Ti
  L
 
  ro
  Q
  ri
  k
where
To
1
Ti
r 
 ln  o 
To
 ri 

Q
2   k  L
wTi  1.17 K
wQ 
1.32
f ( z)
 wP 
 1290.35W  37.85W
45
HR
To
Q

ro 2    k  L  ro
wro  2.54  10 5 m
To
Q

ri
2    k  L  ri
wri  2.54  10 5 m
r 
ln o   Q
r
To
  i 2
k
2   k  L
r 
ln o   Q
r
To
  i 2
L 2    k  L
wk  0.627
W
mK
wL  0m
Combining these terms with their respective uncertainties results in the following equation for the
uncertainty in the outer wall temperature measurement.
B-3
1
2
2



 ro 

  ln 


2
r 
 




Q
i 

2

(1  wTi )   2  k L  wQ    2  k L r  wro  

      o
   









wTo  
2
2

 
   ro 
  ro 
 








ln
ln
Q
Q


2
 
   ri 
   ri 

Q
 2    k  L  r  wri    2    k 2  L  wk    2    k  L2  wL  
i
 
 
 

 
 


 
 


At 2.24 m the uncertainty in the outside wall temperature measurement is found by using the
above equation with the correct values
1
2
2



 0.00475m 

  ln



 0.00292m 





  37.85W  

(11.17K)2  

 2    20.9 W  3.66m






m K






2




 880W


5
 2.5410 m 


W

 3.66m  0.00475m

 2    20.9

m K


wTo  
2 

2
 
  ln 0.00475m   880W





W
880
W
0
.
00292
m


5

 
 0.627
 2.5410 m 



W 2
W
m K  

 2    20.9
)  3.66m
 3.66m  0.00292m
  2    (20.9

m K
m K
 

 


2



 0.00475m 


 ln 0.00292m   880W




 0m


 2    20.9 W  (3.66m)2



m
K




 1.171K
As can be seen, this value is nearly identical to that used in the initial calculation, showing that
this temperature difference can be neglected. The uncertainty analysis on the convective heat
transfer coefficient can now be performed, neglecting all terms with uncertainties that are
sufficiently small.
B-4
Table 2: Total Probable Errors Used in Uncertainty Analysis
B-5
To begin the uncertainty analysis of the convective heat transfer coefficient, the heat flux (q”) in
Equation B-2 must first be determined because it is a function of various components each with
their own uncertainty that must be found. The heat flux Equation is given as
q" 
P / HR
 f z 
A
where the axial power shape factor is given as:
f ( z )  1.087  z  4.4783
(B-6a)
for elevations between 2.74 m and 3.66 m
and
(z measured in meters)
f ( z )  0.365  z  0.5
(B-6b)
for elevations  2.74 m (z measured in meters).
For an elevation of 2.24 m (88.3 in) where f(z) is 1.32, the heat flux is found to be
q" 
30000W  1.32
W
P / HR
 f z  
 8161.99 2 .
2
A
45rods  0.107 m
m
The uncertainty is now calculated for the heat flux by taking the partial derivatives of q” with
respect to each variable and putting these into Equation B-1 with their respective uncertainties
1
2
2
2
2
 q"
 2
  q"
  q"
  q"
 wHR   
 w A   
 w f ( z )  
 wP   
wq"  
  HR
  A
  f ( z )
 P
 
Where;
f ( z)
q"

P HR  A
wP  1290.35W
q"
P  f ( z)

HR
( HR ) 2  A
wHR  0
P  f ( z)
q"

A
HR  A 2
w A    L  wD
q"
P

f ( z ) HR  A
w f ( z )  negligible
Combining these terms with their respective uncertainties and dismissing the negligible terms
with component uncertainties of zero results in the following Equation for the uncertainty of the
B-6
heat flux.
 f ( z )  w p
wq"  
 HR  A
2
  P  f ( z )  (  L  wD )
  
HR  A 2
 



2



1
2
At 2.24 m this uncertainty becomes
 1.32  1.29  10 3 W
wq"  
2
 45  0.107m
 353.78
1
2
  3.0  10 W  1.32  (  3.66m  5.08  10 m) 
  

45  (0.107m 2 ) 2
 

5
4
2
2


W
m2
The heat flux can now be expressed with its uncertainty as;
q"  8161.99
kW
kW
 353.78 2
2
m
m
Combining Equation B-2 and B-3 it is now possible to calculate the convective heat transfer
coefficient
h
q' '

(Tw  Tbulk )
q"
q"F

(T  Tw )  (Tw  Tc )

Tw   Tw  c

F


W
 1.27
2
W
m
h
 277.9 2
(684.1K  646.8 K )
m K
8161.99
The uncertainty can now be calculated using a method identical to that used for the uncertainty in
the heat flux
1
2
2
22
2

  h
 h
  h




h
w  
 wF    
 wTw   
w  
wh  
  dTw
  Tc Tc  
 q" q"   F
 



Where each partial derivative is listed with its respective uncertainty, including the uncertainty for
the heat flux found above. The values for WF depend on Reynold’s number and can be found
listed below. The values for wTc/Tw due to the wall and center line temperatures are taken from
B-7
Table 8 and are repeated below.
h
F

q" (Tw  Tc )
 f ( z )  w p
wq"  
 HR  A
h
q"

F (Tw  Tc )
wF = 0.04
for
Re>5000
wF = 0.06
for
2300<Re<5000
wF = 0.10
for
Re<2300
h
q"F

Tc (Tc  Tw ) 2
h
q"F

Tw (Tw  Tc ) 2
2
  P  f ( z )  (  L  wD )
  
HR  A 2
 
wTc/Tw = 1.15
for 0-648.15 K
wTc/Tw = 1.17
for 648.15 K - 1073.15 K
wTc/Tw = 1.23
for 1073.15 K – 1644.15K



2



1
2
Combining these terms with their respective uncertainties results in the following Equation for the
uncertainty in the convective heat transfer coefficient.

 f ( z )  wP   P  f ( z )  (  L  wD ) 
F



 

2 
2

HR
A


(
T
T
)
HR
A
 

 w

c
wh  
2
2
2
 q"F  wTw   q"F  wTc   q"WF 
  
  


2 
2 

(
T
T
)


(
T
T
)
(
T
T
)
c 
c
w
  c
  w
 w
2
2
2
 
 
 




1
2
At 2.24 m the uncertainty in the convective heat transfer coefficient is found by using the above
Equation with the correct values for wF and wTc/Tw found in Table 8 and also above.
1

 1.32  1290.35W  2  30000W  1.32  (  3.66  5.08  10 5 )  2   2
1.27 2

   
 
 
45  (0.107 m 2 ) 2
 (684.1K  646.8K ) 2  45  0.107 m 2  
  


2
2
2

wh  
W
W
W
 
 

 8161.99 2  1.27  1.17 K   8161.99 2  1.27  1.17 K   8161.99 2  0.06 

m
m
m
 
 



 (684.1K  646.8K ) 2   (646.8K  684.1K ) 2   (684.1K  646.8K ) 

 
 



 
 

B-8
wh  21.67
W
m2  K
The convective heat transfer coefficient at an elevation of 2.24 m can now be expressed with its
uncertainty by applying the result from the above calculation.
h  277.9
W
W
 21.67 2
2
m K
m K
The uncertainty associated with the heat transfer coefficient is at 95 percent confidence level
since all of the measured variables used to calculate the heat transfer coefficient were at a 95
percent confidence level. With the uncertainty in the heat transfer coefficient known, the
fractional uncertainty can be found to see how heat flux and the temperature difference affect the
RSS uncertainty.
Fractional uncertainty is simply defined as the uncertainty divided by the measured or calculated
variable.
The fractional uncertainty in the heat flux is:
W
m 2  100%  4.33%

W
q"
8161.99 2
m
wq"
353.78
While the fractional uncertainty in the final convective heat transfer coefficient calculation
becomes
W
wh
m 2  K  100%  7.80%

W
h
277.9 2
m K
21.67
The above results apply only to rod D3 at an elevation of 2.24 m, however, by applying the
Equation for the convective heat transfer coefficient given above, the uncertainty can be
obtained for any rod at any elevation.
B.2.
Grid Loss Coefficient
In a similar fashion, the overall RSS uncertainty associated with the experimental grid loss
coefficient can be found. The grid loss coefficient isdefined as,
B-9
2(Pmeas  Pbare )
V 2
k grid 
(B-7)
where Pmeas is the pressure differential over a particular grid span for which the grid loss will be
calculated, Pbare is the pressure differential over a particular span containing no grids, ρ is the
average density over the grid span of interest, and V is the average velocity over that particular
grid span. Pbare can be found with the following equation
fLV 2
Pbare 
(B-8)
2 DH
where f is the friction factor over the given span, L is the length of the span and DH is the
hydraulic diameter for the rod bundle. Also from equation A-2 and equation A-3, the velocity, V,
can be found using the following equation

m
V 
Af 
where

m
(B-9)
is the mass flow rate of the steam, and Af is the bundle flow area. Using Equations
(B-1) and (B-7) through (B-9) along with the known uncertainties of the measured quantities
∆Pmeas,
and
coefficient.

m,
it is possible to calculate the total uncertainty associated with the grid loss
Combining equationsB-7, B-8, and B-9 results in the following result for kgrid in its most general
form, where the uncertainty of each parameter is known.
k grid
 Af
 2 

 m
2

 P    f  L 
meas
 D 

 H 

Applying Equation B-1 for the uncertainty gives a general formula for the uncertainty in kgrid ,
wkgrid
2
2
  k




k grid
k
 grid  w Af    grid  w    
 wPmeas

  P
 
m 
 A f
meas
  m
 

2
2
2
  k
  k grid
  k grid

grid
  
 wf   
 w L   
 w DH 



f
L
D
 
H
 
 

B-10
1
2
  k grid

  
 w  

  
2
2






Where the partial derivatives and their parameter’s respective uncertainty are given as shown
below:
k grid

A f
4 A f Pmeas 

m
 4  A f  Pmeas
2
 k grid



m
m
k grid

Pmeas
 k grid

k grid
f
 k grid
L
 k grid
D H
w Af  negligible
2
2 A f

w   Given
m
2
wPmeas  Given
2
m
2
2 A f  Pmeas

3
 2
w  negligible
m

L
DH
w f  negligible

 f
DH
wL  negligible

f L
2
DH
wDH  negligible
The uncertainties in the bundle flow area (Af), the average density (ρ), the friction factor (f), the
span length (L), and the hydraulic diameter (DH) are sufficiently small and can be neglected for
this calculation.
Combining the above partial derivatives with their respective uncertainties results in the following
equation for the uncertainty in the grid loss coefficient (kgrid).
1
wkgrid
2
2 2

2
  2 A 2
 


4

A
P
f
meas
f
 
 w       wPmeas  
3



m


2
 

m
  m
With the uncertainty in the grid loss coefficient now known, the fractional uncertainty can be
found. This allows for a comparison of the uncertainty in all grid loss coefficients.
Fractional uncertainty is simply defined as the uncertainty divided by the measured or calculated
variable. That is:
B-11
The fractional uncertainty in the grid loss coefficient is:
Fractional Uncertainty 
wkgrid
kgrid
The above results apply to all cases and can be used to find the uncertainty in any grid loss
coefficient as long as the necessary variables are known.
B-12
UNITED STATES
NUCLEAR REGULATORY COMMISSION
WASHINGTON, DC 20555-0001
-----------------OFFICIAL BUSINESS
NUREG/CR-7152
Rod Bundle Heat Transfer Facility – Steady-State Steam Cooling Experiments
May 2014