-WOSUBA SUBCHANNEL CODE FOR STEADY-STATE AND
TRANSIENT THERMAL-HYDRAULIC ANALYSIS OF
BWR FUEL PIN BUNDLES
VOLUME II
USER'S MANUAL
by
L. Guillebaud, A. Levine,,W. Boyd,
A. Faya, L. Wolf
Energy Laboratory Report No. MIT-EL 78-024
July 1977
lwow W
-WOSUBA SUBCHANNEL CODE FOR STEADY-STATE AND
TRANSIENT THERMAL-HYDRAULIC ANALYSIS OF
BWR FUEL PIN BUNDLES
VOLUME II
USER'S MANUAL
by
L. Guillebaud, A. Levine, W. Boyd,
A. Faya, L. Wolf
Energy Laboratory Report No. MIT-EL-78-024
July 1977
Topical Report for Task 3 of the
Nuclear Power Reactor Safety Research Program
Sponsored by
New England Electric System
Northeast Utilities Service Co.
under the
M.I.T. Energy Laboratory Electric Power Program
ii
A CKNOWLE DGEMENTS
This research
Guillebaud
was initiated about July 1976 when Louis
pursued the assessment and extension of the MATTEO-
code, which I brought with me to the U.S. already in 1974.
Al-
though I had tested the code and its options in the meantime,
this was unfortunately
comprising
Bundle.
the symmetry
Louis realized
larger cases.
only done for a three-subchannel
case
section of the (3 x 3) Rod GE Test
that the code was not capable to run
He made the code operational
and generated a
larger version capable to analyze half of (8 x 8) Rod bundles.
Furthermore,
he presented
a first set of consistent
At that time the code was renamed WOSUB.
material
thesis
presented
[ 1
Some fraction of the
in this volume is taken from Louis'
].
In September
tational
comparisons.
1976, Alan Levine
started to extend the compu-
features of the code by adding the subroutines
evaluating
the heat transfer
coefficient,
for
the initial heat flux,
boiling length, critical quality, and critical power, thus making
it possible
for the first time to generate
design quantities by
this code.
He was succeeded by William Boyd in January
1977, who
focused his attention toward a parametric sensitivity study of
the drift flux parameters
results.
and their effects upon the overall
When he left M.I.T., Arthur Faya began to collect
iii
all the pieces of information
code.
His first achievement
and to implement them into the
is the addition of a novel fuel pin
temperatures numerical technique for the solution which
he fully integrated into WOSUB for steady-state and transient
calculations. Furthermore, he reduced the solution method and
provided additional results and comparisons.
During the course of his Ph.D. thesis over the. next two years,
Arthur will focus his primary attention
physical models
on the extension
of the
in the code and will add a flow logic.
To all these gentlemen
I owe a large debt of gratitude
for
their devotion and tireless efforts in accomplishing all these
achievements.
Finally, I would like to acknowledge the financial support
by the New England Electric System and Northeast Utilities
Service Company as part of the Nuclear Reactor Safety Research
Program under the M.I.T. Energy Laboratory's Electric Power
Program.
Lothar Wolf
Principal Investigator
Associate Professor of
Nuclear Engineering
ABSTRA.CT
The WOSUB-codes
code
are spin-offs
2 ].
and extensions
of the MATTEO-
The series of reports describe
and WOSUB-II
in their respective
WOSUB-I
status as of July 31, 1977.
This report is the second of a series of three reports
describing
the WOSUB code.
It gives a detailed
description
of
the input data, flow charts, and output, and contains the listings of WOSUB-I
and WOSUB-II.
For the purpose of future ex-
tensions parameters, common blocks and variables used in the
code are listed in full detail.
WOSUB-I
and WOSUB-II
are subchannel computer
codes for the
transient analysis of the thermal-hydraulic
steady-state and
characteristics of Boiling Water Reactor (BWR) fuel rod bundles.
Both codes are also applicable to analyze PR
bundles, especially
when these are ducted--a situation which most often arises in
experimental set-ups.
The main difference between WCSUB-I and WOSUB-II is that
the former is designed
to analyze small bundles, whereas the
latter is capable to handle symmetric sections of today's largesized BWR bundles.
of the additions
appropriate
In addition, WOSUB-II
does not contain all
made in WOSUB-I yet, because it is deemed
to introduce
these into the smaller code first,
before they are implemented
into the bigger one.
Both codes are still in the stage of evolutionary
ment.
Thus,
changes are to be expected
in the near future.
fore, it should be noticed that this report reflects
ment as of July 1977 only.
developThere-
the develop-
V
TABLE OF CONTENTS
Chapter 1.
Page
WOSUB-I
1.0
Introduction
2
1.1
Input Data Description
4
1.1.1
Ordering scheme for the input card deck
4
1.1.2
Control cards
5
1.1.2.1
General remarks about the
5
control cards
1.1.2.2
1.1.3
1.2
10
Input data
10
1.1.3.1
List of input data
1.1.3.2
Recommendations
11
for input
data selection
25
1.1.3.3 Error messages
36
1.1.3.4
37
Sample input
Output Description
1.2.1
1.2.2
1.3
Title card and last card
specifications
List of some important notations
in the output
1.3.2
used
42
44
Sample output
Organization
1.3.1
41
of the Code
52
Flow chart
52
1.3.1.1
Description of subroutines
52
1.3.1.2
List of common blocks
59
Parameters
1.3.2.1
1.3.2.2
specified
in the code
Parameters used for
conversion purposes
Parameters
61
61
used for the
physical models
62
vi
Page
1.4
Listing of WOSUB-I
64
1.4.1
Listing of
AIN
64
1.4.2
Listing of subroutine DISPL
70
1.4.3
Listing of subroutine GEOMRY
74
i..4
Listing of subroutine MATSET
77
1.4.5
Listing of subroutine STEADY
81
1.4.6
Listing of subroutine TRANS
83
1.4.7
Listing of subroutine SWEEP
86
1.4.8
Listing of subroutines
VIX
1.4.9
Listing of subroutines
SPLITD and SOLMAT
1.4.10 Listing of subroutine
and MIXIN
CONTT
92
96
100
1.4.11 Listing of subroutine CHF
i13
1.4.12 Listing of subroutine
108
1.4.13 Listing of subroutines
CHEN
FUEL and FVS12
1.4.14 Listing of subroutine EDIT
1.4.15 Listing of subroutines
112
115
WATER and HYDP
J19
1.4.16 Listings of functions TIMEF, FFACT, TPFM,
and TFLM
122
1.4.17 Listings of subroutines INIT, INVERT,
and TANSI
1.5
125
Some Additional Remarks on the Volumetric Crossflow Coefficient Matrix and the Recirculation
Loop Concept
131
1.5.1
Subroutine MATSET
131
1.5.1.1
131
1.5.2
Objectives and solution scheme
Subroutine
1.5.2.1
INVERT
136
Remarks on the Connection and
Coefficient Matrices
1.5.2.2
Role of the Subroutine
and Use of Arrays
136
INVERT
137
vii
Page
1.5.3
1.6
Recirculation
loop concept
138
138
1.5.3.1
Set up of the problem
1.5.3.2
Subroutine SOLMAT: Solution for
142
volumetric crossflow
Limitations and Execution Time
143
1.6.1
Limitations
143
1.6.2
Execution
144
time
WOSIJB-II
145
2.1
Introduction
146
2.2
Implementation
CHAPTER 2.
2.2.1
2.3
147
of Extensions
List of modified
148
arrays
169
Input Data
scheme for the input card deck
2.3.1
Ordering
2.3.2
List of input data
169
169
2.4
Output Description
184
2.6
Listing of WOSUB-II
185
2.6.1
Listing of MAIN
186
2.6.2
Listing of DISPL
194
2.6.3
Listing of EDIT
198
2.6.4
Listings of Functions ROFUN and
Subroutine GEOMRY
202
2.6.5
Listing of Subroutine
STEADY
206
2.6.6
Listing of Subroutine
TRANS
209
2.6.7
Listings of Subroutines VMEX
and MIXIN
213
2.6.8
Listing of Subroutine SPLITD
218
2.6.9
Listings of Subroutines WATER
and HYDP
2.6.10 Listings of Functions TIIEF, FFACT,
TPFM, and TFLM
222
225
viii
111
· __
II
I
2.6.11 Listing of Subroutine
CONTI
228
2.6.12 Listing of Subroutine
SWEEP
232
2.6.13 Listing of Subroutine SOLMAT
241
2.5.14
Listing of Subroutine I·IATSET
243
2.6.15
Listing of Subroutine
247
· ^ III_
YI_
I
_
I
VERT
I
1_1_
_YC_
· Y-^··I--IIIIICI·---
----- ^
9UT
ix
LIST OF FIGURES
Figure
Page
1
Input Deck Structure After First Control Card
6
2
Input Deck Structure After Second Control Card
8
3
Input Deck Structure After Last Control Card
9
4.
Nine-Rod Bundle with Uniform Power Distribution
27
5
Nine-Rod Bundle with Non-Uniform
Power Distribution
28
Eight-Subchannel
7
Ten-Subchannel
8
Simple Subchannel Layout to Describe Input
Data No. 11 through No. 20
9
29
Bundle Case
6
30
Bundle Case
32
Sample Subchannel Numbering Scheme Used for the
Explanation
of the Concept of Recirculation
Loop
33
10
Sample Case Layout
38
11
Flow Chart of WOSUB
54
12
Flow Chart of Subroutine
13
Flow Chart of Subroutine TRANS
56
14
Flow Chart of Subroutine
SWEEP
57
15
Detail of Iterative Loop in Subroutine
16
Eight-Subchannel
17
Ten-Subchannel
Case
Case
STEADY
55
58
134
135
x
LIST OF TABLES
Tab le
Page
1
Card Image of WOSUB-I Input
2
Map of Input
3
Input
for Sample Problem
Data
Display
39
45
L6
Printout of Results
48
5
Sample Output
50
6
Common Blocks
7
Example of Coefficient Matrix for
Diverted Crcssflows
of WOSUB-I Code
60
140
CHAPTER
USER'S
MANUAL OF THE COMPUTER CODE
WOS UB -I
1_____11__1_111111_1_11111.____·1__1_·
_
1
-c -
1.0
Introduction
WOSUB-I is a subchannel
and transient
bundles.
commuter code for the steady-state
thermal-hydraulic analysis of BWR fuel rod
The code is also applicable to
as long as they are enclosed
WR bundle analysis
by bundle walls.
This situation
frequently arises in experimental facilities.
The physical
models and the numerical
which are used in the code are described
Volume 1 [ 3 ]
of this series.
solution scheme,
in full detail in
For convenience,
the main
features are summarized below.
.
The code uses the zuber-Findlay
·
A vapor
vapor drift flux model.
diffusion model is included, which accounts
for
the vapor's affinity to redistribute into channels
with higher velocities as has been observed experimentally.
. The code accounts for thermodynamic nonequilibrium
effects.
·
It uses a unique methodology
introducing
the concept of
recirculation paths.
Four heat transfer coefficients each associated with
one subchannel are calculated around the pin perimeter.
The code calculates the boiling length and the critical
power.
A novel collocation
method is used for calculating
the
steady-state and transient fuel pin temperatures.
Based upon these features the computer
code WOSUB is there-
fore supposed to give more insight and a better understanding
of the thermal and hydraulic
conditions prevailing
wall near regions of fuel pin bundles.
-
"
Emphasis
in the bundle
has been put
IQr
-3-
specifically to the code's capability to analyze BWR fuel
pin bundles where it is expected to give more realistic
answers than the conventional
codes, such as COBRA or HAMBO,
which were specifically designed for analyzing single phase
flow and eventually extended to two-phase flow situations by
using empirical parameters for the analysis of BWR fuel
rod bundles.
Preliminary results for various conditions as well as
comparisons with experimental evidence are given in volume
3
[ 4
of
this
series.
The purpose of this manual
into the mechanism
is to introduce
the user
of running the code by providing
information
about the input data, flow charts, and options.
If not otherwise mentioned
WOSUB-I holds also for WOSUB-II.
the information
given for
-4-
1.1
Input Data Descripticn
All the data of a problem are read in as a single floating
point vector; conversion
the code where needed.
to integer variables is performed by
The format is 6E.12--as many data are
often zero, only sets of significant
set is preceded
data are read in.
Each
by a control card specifying the first and
last index in the input vector of the set.
These are given as
integers
adjusted
21 12).
The last set of data for a problem must be indicated
by -1 punched
to the right at columns 12 and 24 (Format
in columns 1 and 2 of the control card.
Every problem must begin with a title card, with any
alphanumeric
information
in column 7 to 80.
Many problems may be treated in the same run, and only the
data which
given.
are changing
A positive
indicates
--------·---------
-------·r--
integer in columns
problem need to be
to 6 of the title card
that the problem is the last of the run.
1.1.1
nr
from the preceding
Order of Input Data Cards
I---·
Group 0
Control card
Group 1
Title card:
Group 2
General input data
Group 3
Array arrangement
Group 4
Recirculation
Group 5
Geometrical
Group 6
Array sizing input data
Group 7
Roughness specification for subchannels
Group 8
Parameters
Group 9
Physical parameters
------··------·I-----·---·--·---arrr
Identification
input data
loop specifications
input data for subchannels
Il--r-·l-rrrrr---·rr·
-5-
Group 10
Peaking factors
Group 11
Flux shape
Group 12
Blockage specifications
Group 13
Transient specifications
Group 14
Perturbation timetables
Group 15
Heat transfer coefficient specifications
Group 16
Geometrical and physical characteristics
of fuel and cladding
1.1.2
Control Cards
1.1.2.1
Remarks on Control Cards
As mentioned
above in Section
of input data is preceded
1, every set
by a control card, which
specifies the width of the field of the set to be
read in.
1.
The following explains how this method works:
If one supposes that the first set of input data
contains
10 elements,
in this case
the value of the
index to be placed in column 12 of the control card
is 1.
In columns 23 and 24 of the control card the
value of the index to be placed is 10.
One has there-
fore the deck as shown in Fig. 1.
The control card indicates that a field of 10 E12.6
is reserved
for the first set of 10 input data.
Note that each input data card contains 6 zones
of 12 columns (because of the fixed read in FORMAT
E12.6).
-6-
23 24
12.
ji
/
I
111
Con t rol
SRi
a m PtT
F
FDR
I5v
Foktj p
C
2M
FIG.
)
__1__11_111__11_9__^_I_----·1IL--
KMA TE( 2.6)
Z.6)
1
I
-I
Input da ta Card
npu,
Fc*.PATrLZ
.1
daac
1:Input Deck Structure
After 1st Control Card
-- · I
__·----
_·
-7-
Therefore,
the two remaining
zones on the second input
data card will be ignored by the code.
If a second set of input data contains three elements,
2.
the first value of the index (to be placed in columns 11 and
12 of the control card preceding this second set of input data)
is 11.
The second value of the index (placed in columns 23
and 24 of the control card) is 13.
One has therefore the
structure
shown in Fig. 2.
Note that, as before, the three
remaining
zones (3E12.6) on the input data card are ignored
by the code.
3.
For any number of elements
in a set of input data,
the first value of the index, Y, on the control card is
equal to the last value of the index on the previous
card, X, plus one, then Y = X + 1.
index, Y, plus the number of
one:
control
The second value of the
input data in the set, n, minus
Z = Y - 1 + n.
The overall advantages of this method
can be summarized
as follows:
1.
After initializing the core memory, which will con-
tain the input data, one is assured to have a bijective
cor-
respondence between index value and input data, eliminating
therefore
the possibility
of inputting wrong data into the
core at a given index-referenced
2.
location.
A higher degree of transparency
in the input deck
structure is a direct result of this technique.
_____
i
-8-
4 a
Zs cN
1i
Con trot
-
TPlo.
(Ew 6
1d
2
2*4 IV%
pvo kavi
COT-HACElI6)
ONPIT (2.-A
-Lvi P
Dat~k
a~d
livA
FORHAt CUt
Caxd
I
FIG.
2:
Input Deck Structure
After 2nd Control Card
- -
I
I
-
-----------
--
-
-
-- ---- --
--
CW4,
6)
j
-9-
-1
l
I
2
1o
_ _1
_
120
La<,
LouAs
FIG.
I1A
3:
1o1
V2
21 22__ t
0
z olo o
Contro( Cmat
IrAPvk(CAA
Input Deck Structure
After Last Control Card
2.t
-10-
3.
Largeflexibility
of inputting
a set of input data
of any size since the control card does not operate
with
a
fixed field value.
1.1.2.2
Title
Card and Last Card Specifications
The title card is divided into two zones:
Zone -
:
Columns 1 - 6 (included)
Zone - 2:
Columns 7 - 80 (included)
If the problem to be treated is the only one in
the run, zone-1 of the last problem must contain 1.
The last control card of a problem
must be specified
as seen in Fig. 3.
Note that the field specified by the last control
card is 1.
[i.e., in the core memory it corresponds to
DATA (2200)].
zero.
The value to be affected in this zone is
Therefore,
the last input card will contain as an
input, zero or will be a blank card, since the blanks are
read in as zero numbers.
Note that the minus sign in column 1 and the number
1 in column 2 indicate the end of the data set.
1.1.3
Input Data
On the following pages, instructions
preparing
are given for
the input data card deck for the code WOSUB-I.
more easily comprehend
explanations
To
the meaning of certain data, additional
are given by placing numbers
into the column
"Remarks," which refers the user to Section 1.1.3.2.
I__II
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1.1.3.2
Recommendations
1.
for Input Data Selection
= number of subchannel types in the
NCHAN
bundle.
A subchannel is defined by its geometry,
by the types of rods which are associated
and
with it.
of
When inputting NCHAN one has to take advantage
any symmetry in the bundle.
For example,
a 3 x 3
fuel rod bundle with only one type of heating rod
(Fig. 4) will have:
8 side subchannels
4 corner subchannels
4 center subchannels
One can see that this particular
450 symmetry, and the analysis
a configuration
bundle has a
can be performed
of the type shown in Fig. 8.
using
There-
fore, for this case NCHAN = 3.
if the heating rods
But, for the same example,
have different peaking
number
of subchannel
factors (see Fig. 5), the
types to be entered is 16.
= number of heating rods
2. NRODS
Once one chooses-a
configuration
for the analysis
of the fuel rod bundle, one must number all the
fuel rods starting from 1 through NRODS.
Consider, for example, the fuel rod bundle
shown in Fig. 6.
-- 1ll11ll111
_1·____ 11111_1____
NCHAN
=
NRODS
= 6
For this case:
8
l^l^--·-LII1111
11___1_ 11^--1111(111 ·--·---
Y_
II_
-26-
One has:
16 cards of GROUP 3 or from DATA 11 to DATA 90
16 cards of GROUP 5 or from DATA 401 to DATA 480
3
cards of GROUP 6 or from DATA 601 to DATA 608
621 to DATA 626
The second example illustrates
a symmetric
(3 x 3)
fuel rod bundle, where symmetry of the bundle is to
be understood
for the peaking
with respect to the
ollowing
factors fo the rods
diagonal.
(See Fig. 7)
For this case one has:
NCHAN
=
10
NRODS
=
6
and therefore the following groupings result:
20 cards of GROUP 3 or from DATA 11 to DATA 110
20 cards of GROUP 5 or from DATA 401 to DATA 500
3 cards of GROUP 6 or from DATA 601 to DATA 610
621 to DATA 626
_
II_ I
-·---···)-_·--·IIl(··IY---CIIII.--lt
--^--.··_·IC--l--^Y-lll
:)
-27-
.
.
,
)
.
.
.
r
.
.~~~~~~~~~~.
j
I.
WC.DS
C
I
(TYPICAL) (TYPICAL)
Fig. 4
Nine-Rod Bundle with Uniform Power
Distribution
(
-2 8-
C
C
FIG.
5:
9-Rod Bundle with Non-Uniform Power Distribution
(from GE-13049 )
4
Al
-
_
-%llk
l-^-----C^
---------
·
I
·----p---------
---nrul----rlpf
-29-
i
ll
r
-RXZ6L
FIG.
I
I
6:
a .C
8 Subchannel Bundle Case (Symmetric with
Respect to the Second Column of Rods)
-30-
I
FIG.
7:
10 Subchannel Bundle Case (Symmetric with
Respect to the Principal Diagonal)
3
ss
----- ·--·. --·IIIC-···-----·111-
-·--
IIIIICI---··--r·LII·Dls·l····IIIIIIC
C---·C-··II·C-··IIlls.
-31-
3.
(.
ICON = Key for selecting input system of units.
Section 12
See
for a complete discussion of the procedures used by the
code in both cases of unit systems.
'4. IPAR = Key for selecting sets of parameters
Refer to Section
5,6.
1.-3.2.
Figure 8
will be used to descrlibe the input data
#11 to #20.
Subchannel 1 = (
Corner subchannel) is
1) heated by rod 1
2) has subchannel 2 as neighbor
3) heated by (1/8) (fraction) of rod 1
4) shares a gap of width A with sub. 2.
C
Therefore, the input for subchannel 1 are:
JOIN()
= 1
NtAROD(1) = 1
C
NJOMh (1,1) = 2
NJOIN (1,2) = O
NJ OIN (1,3) = 0
KROD (2,1) = 0
KR OD (3,1) = 0
NJOIN (1,4) = 0
KROD (1,1) = 1
r
KROD (4,1) = 0
Subchannel 2 = side subchannel is
1) heated by rods 1 and 2
I
2) has subchannels 1 and 3 as neighbors
3) heated by () of rod 1 and () of rod 2
4) shares a gap of width A with sub 1
I
I
-
and a gap of width B with sub 3.
-32-
___
:.Lt
A.
'T-T
Wv;ck
B
Fig. 8: Si.mple subchannel layout to describe
input data #11 through #20
·1(II______________
-·illC··-----··lll-P·ll
I
-33-
am:
Sapie
ubchannei numering scheme used
for the explanation of the concept
of
recirculation loop
Loop
around rod 1:
Loop 2 around
______1___1__·_11_111___111_1·llllUll*·
_111__1·1
01050602
rod 2:
_
02060703
I
I
I
_
I
I
-34Therefore, the input data for subchannel 2 are:
JOIN
(2)
= 2
NAROD (2)
NJOIN
(2,1)
KROD (1,2)
= 2
NJOIN
= 1
= 1
= 3
(2,2)
KROD (2,2)
(2,4)
KROD (4,2)
= 0
KROD (3,2)
= 2
NJTN
= 0
UIJCIJN (2,3)
= 0
= 0
center subchannel is:
Subhaannel 3 = ½w
by rods 1,2 and 3
1) heated
I
2) has subchannels 2 as neighbor
of rod 2, and (1/8) of rod 3
3) heated by (1/8) of rod 1, ()
4) shares a gap of width B with sub 2.
Therefore, the input data for subchannel 3 are:
JOIt (3) = 1
NAROD (3)
NJOI
= 3
KROD (1,3)
NJOIN
= 2
(3,1)
YLOD (2,3)
= 1
Nowfor the data
HPER (1,1)
(3,2)
= .125
= 0
= 2
NJOI
= 3
KROD (3,3)
= 0
NJOIN
KROD
for GROUP5.
01 to 410 and similar
HPER (2,1)
= 0
(3,3)
= 0
IHER (3,1)
HPER (4,1) = 0
SL (1,1)
SL (2,1)
= A
HPER (1,2)
= .25
HPER (4,2)
=
SL (1,2)
HPER (1,3)
IPER
(4,3)
SL (1,3)
= 0
HPER (2,2)
= 0
SL (4,1)
= .25
PER (3,2)
SL (3,2)
= 0
= 0
= 0
0
= A
SL (2,2)
= .125
= B
HPER (2,3)
= .25
SL (4,L)
HPER (3,3)
= 0
= .125
= 0
= B
SL
(2,3)
= 0
2;
-·-rllr*·l1---^-"Ill-"l-··rPrrrrrrr
SL(3,1)
-·-·--··--·-syllll--··IPICII·LI-·-
SL (3,3)
= 0
SL (4,3)
= 0
(3,4)
(4,3)
= 0
= 0
-35-
7, 8
NOCIR and MCIRC(K) Recirculation loop specifications
WOSUB-I used the concept of the recirculation
loop in
This concept requires that the net recircula-
fuel rod bundles.
tion volume flow around each rod is zero.
The way of entering
for the case of a (3 x 3) fuel
such input data is explained
rod bundle shown in Fig. 9.
9 rods imply 9 recirculation
loops:
therefore,
for
this example NOCIR = 9.
Choosing the clockwise rotation as ordering scheme around
each rod, the recirculation
loops are specified as follows:
First loop:
01050602
2nd loop:
02060703
3rd loop:
03070804
4th loop
05091006
5th loop
06101107
6th loop:
07111208
7th loop:
09131410
8th loop:
10141511
9th loop:
11151612
Note that each subchannel
i.e., subchannel
-·-------·---I
II
is specified by two digits:
1 is 01.
IYls··I·--··--C·--·--------_l·-i--
--III_--.1_
IPU
IL---·--*·l----·--·L-l·IPI .ll-^l-l--L
I
-36-
CHAJN (I) and RODS (L)
9, 10
For the cse
input
of 8 subchannel-s as shao-,,in Fig. 6, these
data read if' entered by the first option:
CHANN
(1) = DATA
(601)
= 2
CHAN
(8)
(608)
=
= DATA
2
RODN
(1) = DATA
(626)
= 3
RODN
(3)
(623)
=
= DATA
3
On the 'other hand if the problem is- ente-red the' second way one gets:
CHINN (1) = DATA (601) = 2
CHAN
(8) = DATA (608) = 2
RODN 91) = 2 = DATA (621)
RODN' (2)
RODN
=
1 = DATA
(3) = 2 = DATA
RODN (4) =
=
(623)
ATA (624)
RODN
(5)
RODN
(6) = 1 = DATA
1.1.3.3
(622)
= 2 = DATA
(625)
(626)
Error Messages
If for any reason the input data are incorrect,
the code will automatically print out one or two error messages
Parts of this subroutine
generated in subroutine GEOMRY.
are solely devoted to assess the validity
of the inputted
date, especially of the types contained in GROUPS 3, 5,
and 6.
Obvious input errors will be detected by the checks
built into GEOMRY.
In
1111111111111111111111111111···11111111
-
-
POa
-371.1.3.4
Sample Input
Fig. 10 shows the sample case layout.
dimensions are given in inches.
The
Other data of importance
are:
Pressure
Total bundle power
Power distribution
Rod
1
Rod
2
Rod
3
Rod
4
Inlet enthalpy
Inlet mass flow
Total height of the bundle
Table 1 is a card image of WOSUB-I
the sample case.
·m-·11·11-·11-··Illllllllll·-Y·--ll
Il-l-pl
_IIIll·__I_._XI____
_.___
input for
-38-
c. 14
c ic
.nc.e
Fig.
10:
Sample Case Layout
---
t
'~
i~
'~ii~
AM-_
I
-39I
0
_ 3Lot
OLF
,' M
* *** I
1
10
4.
25.
1.
1.
1.
0
2(
11.
I.
?
2.
4.
I.
3.
1o
30
31
?.
40
1.
A.
1
'f)
.
5.
7.
3.
4.
4.
6.
3.
5.
C4.
7.
9.
3.
1.
60
4.
2.
1.
S.
8.
70
3.
4.
p.
71
0
aO
4.
I .
-5
51
,)
9q
S.
4.
4.
0
10
1.
3 (' r
3Oz4
Onn30n
j s.
4 U1
0 10 _0504.
410
. 33o7
. PC;
,
0
a.
411
.25
. 1 1',+
4 fL
,i-i.
. 3P7
tLs,
,
. Ii
.
~~
.1 2
I .L ;
13'
8~~~~.L~
0
I
O
'
(1
I -
.
.2:,;
Q?7
4+ i
W.7"
430
. 14n
*11 -'
A'%
'4 )'
. 12'
.12
L '
. PC;
0o
.1
'
.
.1
n
7 )
. ?>
* 3.-'. 7
..,.,
4
4 (
I
. 3
.
z,
-
?
· 1 z, (
4l1
,
.12
4q
1
7
a, '
. P /,
1
7
Table
Card Image of WOSUB-I
Input for Sample Problem
4 q()
. 3 i
I,~~~~~-
.
,_
'3 1
______1___1____111_1______·IIIII··IL·L
050609q.
,+20
.12
I-
w
u7.
. 14.'
I 7;'
..
0
04050
1.1
__1111--·11_1_111_____
_
1.
1.
1.
214
1.
1.
.4
1200on0.
1.
1.
qr
-.
i
1.
I
.
20
i-
1 , 1
1
?0I
is
? ) *C I
- ;
:
2n;l)
. I
2
~
·
?
0I
]
0
2I;i1
,
4
.
~ng .
1.5
9.
1 000n.
?? Oo "
Table 1 (Continued)
IIC7-·Il--
1·sl·11111·1·11111·1)··-·1--·--
_
1.2
Output Description
The printout
of the input data and the results are
organized by a hierarchy of three levels.
1.
After having read the input data as shown in Section
1.1.3.4, the routine MAIN prints out a map of these
data as shown in Table 2.
2.
The subroutine DISPLAY prints out the number of
subchannel types, the number of rod types, the subchannel layout, the number and recirculation loops,
the rod peak factors,
the subchannel
geometry,
the
options chosen for the calculation,the transient
specifications, the physical parameters for steady
state, the coolant properties, the heating rod diameter,
and the node height.
(See print out for the same
example as above depicted by Table 3.
Note that an explanation
for the unit system
used for the printed out by the code, is given in Section 1.3.2.1.
3.
During and after the calculation,
the results are
printed by the subroutines EDIT and EDIT2.
Samples
of such printouts are given again for the same example
as above in Table 4.
The next section explains the notations and abbreviations used in. the output.
C
_
X·__
__IYII___*l___l·__l__·__UI
IIIII^-·--·I
-C--
_
_____
_-_I
_
1.2.1
List of Some Important Notations Used in the
Output of the Code
GTOT
Total mass flow into the bundle
FMOUT
Total mass flow out of the bundle
TBAL
Total energy output of the bundle (enthalpy
out--enthalpy in)
AVX
Average exit quality
DPTOT
Total pressure drop
TOAVVF
Average void fraction of the whole bundle
AVDEN
Average density
HINLET
Inlet enthalpy
XOUT
Subchannel exit quality
GOUT
Exit mass flow
GOUTV
Exit vapor mass flux
GOTTL
Exit licuid mass flux
GINLET
Inlet mass flux
BAL
Energy balance for each subchannel
(enthalpy out--enthalpy in)
(Watts)
ENI
Energy input
(Watts)
VFAV
Average void fraction
HL
Liquid enthalpy
TQ
True quality
G
Mass flux
QTR
Volumetric crossflow into the subchannel
per node
.111-·11__
-F
--
ALPHA
Local void fraction
FIMAX
Maximum heat flux
X
Thermodynamic equilibrium quality
-
-
·--------- ---
--
-- '-l-C ---
rrrrrrllllll·llrrrrrrrl--·--rr-·---
-43-
_
Pressure drop across one node
ITER
Number of iterations to achieve convergence
AVG HTC
Average heat transfer coefficient
AVG TW
Average clad surface temperature
AVG TF
Average coolant temperature
R
Radical position
T
Fuel temperature
DT/DR
Fuel temperature gradient
HF
Heat flux in the fuel
__
PDROP
in the fuel
-4 4-
1.2.2
Sample Output
~ ~c19"1~1c~s~-~~~"~~~1~1~~~"~~1"~"11111
l1sli
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1.3
Organization
1.3.1
of the Code
Flow Chart
The flow chart of the overall program organization
is given in Fig. 11.
or TRANS.
MAIN calls either subroutine STEADY
The flow of information
in these subroutines
shown in Figs. 12 and 13 respectively.
is
Fig. 14 gives some
details about the subroutine SWEEP, which is the most
important one accounting
the solution
scheme.
for all the physical models and
The iterative loop used in SWEEP
is shown in some detail in Fig. 15.
1.3.1.1
Description of Subroutines
MAIN
Reads the input and checks the options;
some preliminary calculations are performed
DISPL
Input display
ROFUN(P) Liquid density as function of pressure
GEOMRY
Geometrical and physical calculations and
checks of topology;
renormalization
of
hydraulic diameter.
MATSET
Set up of the matrix containing the sub-
channel eonnections and flow recirculations
INVERT
Inversion of the matrix
STEADY
Master subroutine for steady-state calculations
TRANS
Master subroutine for transient calculation;
sets inlet conditions for each time step
and controls printout.
TI~IF
Linear fitting of input timetables
of the
forcing functions
SWEEP
Solution
scheme for subchannel
flows in
steady-state in transient calculations
-53-
VMIX
Calculation of vapor mixing in subchannels
MIXIN
Vapor mixing model
entry
SLIPF
Transverse slip model
entry
REYSF
Turbulent shear stress calculation
SPLITD
Splitting the diversion flow into vapor
and liquid flow; evaluates turbulent diffusion
enthalpy and momentum transfer
SOLMAT
Solution of the matrix equation for crossflows
WATER
Evaluation of water properties
CONTI
Solution of the continuity equations in each
of the subchannels
HYDP
Evaluation of the hydraulic parameters
FFACT
Evaluation of the friction factor
TPEM
Two-phase flow multiplies
TFLM
Local two-phase flow multiplies
EDIT
Printout
CHF
Calculation
of critical
heat flux, critical
power, and boiling length
CHEN
Calculation of subchannel heat transfer
coefficient
FUEL
Calculation of fuel temperature profile
TRANSI
Calculation of model coefficient
FVS12
Hermite cubic polynomials
GENERAL
MAIN PROGRAM
START
--
~ ~
I
ll
l
READ AND PRINT
DATA VECTOR
SET OPTIONS AND
I GEOMETRY DATA
GEOMRY:
_
III
I
I
III
.III
CHECKS GEOMETRY
AUXILIARY
I
COM-
PUTATIONS
.
.
i
-
SET
WATER
- DENSITY
PHYSICAL
m .....
~~~~~~~~~~~~~~~~
MATSET:
ROFUN;
SET AND INVERT
THE SUBCHANNEL
CONNECTION MATRIX
DATA
WATER:
WATER
PROPERTI ES
.
r
I
SET TRANSIENT
DATA
DISPL:
DISPLAY PRINTOUT
OF INPUT
L
STE A DY :
r
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IF
i
iiiIBI
STEADY STATE
_
>O
w
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TRANS:
. TRANSIENT CALCULATION
START NEW PROBLEM
LAST
>0
CAL-
CULATION
FINAL TIME
I,
DATA
rganiza.
~, = r ~ i ,, _or.
--
-55-
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TRANS
TRANSI EN T
-
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T
L
i
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FUNCTION TIMEF
SETS NEW VALUES
ii
FOR TIME
DENT
DEPEN-
FORCING
FUNCTIONS
yes
P VARIES
y
e
s
W-A T ER :
NEW PROPERTIES
no
i
NEW TIME
STEP
SWEEP:
F
4
CALCULATION
HEAT TRAF
JSFER
CHi
E -N
COEFFICI
Ii
FUEL PIN
i
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II
MODEL
L
III
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yes
y
NPRINT
II
-
IN PUT
_
Ir
SUMMARY PRINTOUT
EDIT 2:
no
DETAILED
Fl NAI
T I L\
yes
e
RFIN TOU
RETURN
TO MAIN
llu
---.
- 13: SUbGrotne
--
RA..
OUTPUT
CALCULAT ION SCHEME
SUBROUTIN
E
SWEEP
SET INLET VALUES FOR ALL
SUBCHANNELS
ITERATIVE LOOP
(SEE DETAIL
DO LOOP
NEXT PAGE)
FOR ALL
SUBCHANNELS
2-PHASE
FLOW
MULTIPLIER
D
NEW MIIX rNG
COE FFI CIENTS
EXIT VARIABLES
AND
AVERAGES
AND BALANCES
Fig.
:
Subroutine S'$EP
iTERATIVE
LOOP
DETAIL OF SUBROUTINE
ITMAX
REL-
RELI
(I.) first
SWEEP
= 10
value of relaxation parameter
I
_
I
I
I
]
I-
I
III
I
II
I SUBCHANNELS CALCULATIONS (DO LOOP)
AVERAGE p
it
no /
EST
CONVER-
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r
IF
,
.
2 ND (
ITMAX
DIVER
no
I
= 10
REL- REL I
-
-
H
.
EXIT OF LOOP
.
| yes
DIVERTED
ITMAX = 20
REL = REL 2
FLOW
BY TANGENT
M ETHOD
second value of relaxation parameter
IT= IT+I
i
SPLIT
SPLITD
,
.
i_
DIVERTED FLOWS AND
CALCULATED MOMENTJM
AND ENERGY
I
HEXCH
1
MEXCH
15:
I
I
J
REYSF
TURBULENT
EXCHANGE
EXCHANGES
Fig.
q
SOL M AT
I
MOMENTUM
(ONLY WHE N
IDOP >O
Tterative Sc'utlon
Pocedure
in SWEEP
-59-
1.3.1.2
List of common blocks
The common blocks of the WOSUB-II
are listed in Table
6
code
where it is shown what
subroutine needs what common blocks.
-60-
x
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-61-
1.3.2
Parameters
Specified
in the Code
This section deals with two different kinds of
parameters
set internally by the code.
1.3.2.1
Parameters Used for Conversion Purposes
WOSUB-1 features as an option the possibility
of entering the input data either in BTU system or
in MKSA system.
The code will not convert from one system
of unit to another,
but will only print out in the
same system of unit in which the input have been
entered.
The only reason for the conversion parameters
put into the code is that the power of the bundle
has to be entered in WATTs for both unit systems.
Therefore, when input data are entered in BTU units
the code will automatically convert everything in
MKSA unit; this conversion
is done in MAIN.
code, all the calculations
will be carried out in MKSA
In the
up to the subroutine EDIT and EDIT 2 where the physical
data are converted back into the system.
Note that DISPLAY is a subroutine
for print
out of input data only, and that the version of WOSUB-1
does not print out the correct system of unit if data
are entered in BTU unit.
The subroutine DISPLAY
prints out converted input data (BTU input data converted already in MAIN) with the MKSA unit.
In other words, the subroutine DISPLAY prints
out only in MIKSA units, thus far.
-62-
The built-in
conversion factors in MAIN and
2 are:
EDIT/EDIT
HCONF = .4304
(For enthalpy)
GCONF = .007373
(For mass flow rates)
FICONF = .003173
(For heat fluxes)
FCONF = .007937
(For mass fluxes)
PCOnF
= 1.503
DCONF = 62.383
(For pressure)
(For product of density
void fraction)
1.3.2.2
Parameters
used for the Physical Models:
For the void diffusion model, a built-in option allows to either select parameters
or to use those
already built into the code as standard option.
(Group 2, card 2, data #9).
In the case where the calculation
parameters
uses the
already set in the code, the values are:
AN = 4.
ZE
= 0.
R = 5.
FL
= 1.
FV = 1.
CPAR
= 1
ZUBER = 2.5
RFSTG = .5
Note that the values of the overrelaxation
parameters
for the first loop, REL 1, and for the
second loop REL 2 are set as follows:
-63REL
1 = 1.
REL 2 = .7
Moreover
the code uses with this option:
GRAD = 980. *ABS (
ANI = 1. /AN
ANM
= 1. /(AN
1.)
CGRAV)
-6 4 -
1.4
Listing of WOSUB-I
1. 4 .1
Listing
of MAIN
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1.4.6
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1.4.7
Listing of Subroutine SWEEP
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1.4 .
Listing of Subroutines VMIX and
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Listing of Subroutines
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I-
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10
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v
3
34
rn T
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)
I- (T,fi 3!(I)
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) ¢r-AJ L
I (I)/(
1.-VFI
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31
T
i ':'',
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I (TJJ) / '(
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h:'J V 4(
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11
111
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THE MATOIX FOtJATTN
r)T'.4FNSION
rw3(0,4)
.W(PO)
0r
CSS
S()
Co-kMON!/GE0Mv/JO
I.n(2n) 'I.JOIJ(20,4)
1.P()fJ
(25)
FLOWS
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CICC(20) gL(4,2n)
NOCIQ.
(20,4)
TMAT(40 40)* LU(40n,400
,TM4TI (4040)
I )
E N/N API'O (2 ) ,.0
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(20)
IHINLET
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-2
F (5
(,
25)
VI LET (?0) ,INL
4A(P0) ,;'FC( 10,20)
?NiOOS , GTF. C , GTIJ, AVHYn rV IZE O. TF II, PZE
O, HZFRO, pOiO, I Rl OC.
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4YOf(20) .LOC(lO).HPEP(4,20),: DAC,DER'NCHA\N,JMAX
F3U I v hALNC (NSIj3, NIC4Hi)
DO 23 I=ljATnIvA
8
0O
000 0
000
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0000
0000
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0000
0000
0000
0000
0000
I=1 ,"icl
S ( I ) = (I )
Q
COI"T I iJE
IF(NOCIP
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PHS(NFO)
=
DO
10 I =
VEC(I)
DO 10
GO TO 9
0000
0.
on0000
1, ATOIM
0000
T.iATI (I,)*H((1))
2,MATDTM
=
J =
0000
0000
VEC(I)=VEC(I)+T'4ATI(I.J)*HS(J)
1n
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U
O0
1 =
12
1,4S):a
000'0
J.J = JOTN(T)
DO
=
12
JJ
K = NTW(I,.J)
N"}jN = N.JOIIA(I,J)
IF(PNN
.LT. I)
T 13(I,J) =
EC(K)
,GOTO
0000
0000
GO
T
11
000
o000
12
11I TW43(i,J)
1?
0000
0000
000
=
0000
-VEC(K)
CONT I.ljJF
P -7T I
0000
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--lll·lslYI··llslls·
·
I-
0000
·-·--^--···-YC-P--Y-*·-·-rr^·rrr
--
----iP
-·
-100-
1 .4 .10
Listing
of Subroutine
CONTI
-101SUPOtJTr riF CNTI
0SOLVES COJNTTt)ITY
r
FOUATTDNS
IN EACHt
F TrE
SURCHAJ\INELS
FPV,
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ain
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TC=TETT*(
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TE-PEPATIJRF
**~\4
TC=TETA*((rC-TTN)/TET4)*cAJI1
0'3
I..
1
K=l
K'
T:!=TIN'+FI(<) /H
IF(T'-TC1 !,
F I C=m (TC-T I ) -HP*TC**N
FIR=(K)FiC
TW= (FIS/HP) **AN1
PSIS=PSTS+
H (K)/AA*FIR/RD/(4JMLA-CPDA*HIN)
! CONT IJE
':>
TOTAL
V PO;
C
Ir'(IBR)0
SOt JQCE
TO
3
PSIR=O.
IF(P.LE.O.)GO
TO 40
CI=AK* (AJVTN+OV/A+DZ*Ps IS) +ZEr*SI S
F ( ITPA ) C1 =C 1+V\7EPO**VFOL*AK
IF(C1.LE..)3O
TrO40
C1=-TRTT!N*C1
C
1 =AJIN+Q/tJ+f)7ZtJG)P
!F(ITA)81=13+
K
>
S TS+ArK*VOPIFT-*
VZnn-\ZE
T
i
*AK*nZ
VFOL*o-*(1.-RVOV9)
SAVE=B1B 1-4.*C *D7U'G
IF (SAVE) 41.42.?2
/
PsIl=-PSqs
i,()
TO
V2 PSIR=
.'.(ST(SVF)-~I) /
DZJ'G
z,,q PpI=SS+qI_
2
'30 TiO
SAVE=rZ/ OQ34NLIPrJ+HRAP/AA+TO/(cO~A4)
I' ( L TP4) -SAvF=SAV'-V7-Epr,* (OL 4:oVqA'VFOLD+DHSAT
1 (.-POVP'.4)
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31 PSI=SaV'/,,L,/r,7
S
r
V;
V
SVAJ
=
.
I NJ+ 4 I+/
4 S
RAVJ=J4I
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O
A4
TFT
SAVE=SVE
+V 7E~P*-C)VPA
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7E PO' 7.'
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S) /
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r, J
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t JV=U .
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T IT;
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4
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6
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S ^VF=HLIN;JJ+OZ/Qv0><F~QP+H4AAA+Tl/( Q9>)
I ( I TP)
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(DOLA4,*rOVPA*VFOLD+D4SAT* ( 1 .- VFOLD*
( 1 .- PO\'RA) ) -HOLD' (1 .- VF)LD) )
IF(IRFV)GO
TO
7
DEFN=AJL
IF ( I TPA) DEI=-DEN+ VZEPO ( .- V OL nr)
HL=SAVE/DCF
I (HL) 6, 7 7
7 Ht=0.
i R;=¢= Tqi.!
GO
TO
3 1
CO),JT INUE
C **-
PESSUUE
POP C4LCUL"TIJN
'' - ( 1"a*VF)
DPG=ROGP.AV
GA,
.- VF +
D7
rDF=D7*F
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GSa
, V = JL+ J
A4
AJ
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G=POGSAVF
G2=GS A
(GcA VE)
XT=POVA 'r.A hI/(G
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( T,AFIC,RRFTIC)
IF ( .NOT. IL)C)
TO
Fc'.L=TFLM
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(
T, VF
O F=P F+FF.L *FFL)C*G 2
S( 4kL) / (1.- \f )
GFLIJX=PO-FL*AJL"
IF(VF.GT.)
3
.)GLUX=G
L!X + OVA4 FV*AJV'A3BS(AJV) /VF
DP CC=GF LIJ',-GFL
I
D=
P =UG,.- O
,C-D~ xC
IF ( ITPA) D:=D+VZERO
' '
((69-GJLD)
E~~r:PFTt
Th
FYF
:ar--- 1
-·11----xl----------s--------rs-·-
---
----------··-------------
·------^I-
..1..
_
·
-10 3-
1.4.11
-
Listing of Subroutine CHF
-Y-IIP IIIXII
IXI-
__
--
--
·
--
L---~~
II
-
-
-
,T
;
-
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CHC (20) DHITOT(50) PHTQAR(SO)
,DFA(20.~C(?0),
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/
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IT
F)=XP/PCQ
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aC=(t-o E)/ (· ( I 356c'G'49
JTOP=Jr 4X- t
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PFAVG( I)=
.
- .001
)
LK=10* ( r-1) +2
ot) ( I ) =ATa (. O+LK)
IF(OATA(6).LE.o.) r)E(T) )=E](I)/2.4
=
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IF!_AG+1
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+
i FST=fxL(4,AL J
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IF (TEST)
3
I ) *XOuAL (JX
31
30
I)
32
B( I ) =X7TOT-XTOT*
( XJ+On.5)/JMAX
GO, TO 21
3 1 % - ( I) =X7TOT-XZTOT' (X
XJ+ . )/JMAY
GO
TO 21
32 I'(J.FQ.JTnP)
COt)T
?)
L(I)=O.
NUE
21 CONJTINJ
w ITE (6.46(0)
P,,4
-,5 0
L (I)
I
T ( ' ,11 X,E12.6,loXi2)
NJ='JIA
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4
tL=KOO
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r, r) PtT 1ti!JF
PFA\IG(I)=-
AVG(I)/':
qC ( I ) = i A7.
(((
CHFC ( I) =XAI_
1 P.)*
( lI(
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P.
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3
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(
AQ/
(I)))
CPC([ )=3. 1'1 S*
5-9XDI /1 7. *IL ( I ) *TOTO:CHFC ( I )
I
(IFL Ar.E.
1). GO To
c
I' (CHFC(I) .IT.CRITC)
LCITC=CHFC(I)
iF(CPC(I) .! T.CITP)
,)
TC=CFC
(
I)
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C
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1 =PC
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+
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:: C-iTJL=1
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;ITE (, i10) CITJL
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IF (XP.=.] n)0.) AR=9AR*X
r-=n .587*
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C'=1 35. -(. ,I V**1.415)
(3 34P**0 212)
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x ,.j=J
+. EL T ) / ( +( XJ XDZ) 1000000.
C,-iF
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i
^
r ' T i 'Ll.
UF
I; (ATA(5).FQ.0.)
TO 210
(0
)O140 J=l.iJMx
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D I TT
= (J)
.
n-; 10 J=1..J1./ X
Oa 150 I=l, '~ O,0hS
=ODlJ(I )*HFRf (JI) +PHI TOT J)
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1-
1=.JMAx
09 !60
A ( , =3Z) I TOT(J )/T nTPJ D
l-, '>,-I
17j J=1.J
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0 T
)
I r (P I An (,)
GO TU 170
I T4
I
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.
1 6q
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'HIMAX=P
IA;I
( J)
tJ=(
J=I j A.I
20
> J=J
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=J-
1
TF (.J.F O.)
GO0 TO 1l9
x lNT (J)=I"T
-,' Ti
I
X TIT
(J.J) + (F(J) :X )Z)
1q
(J) =X I'.!T (J) + (F (J) -:'xnZ)
r C'r (J) = C +( X, X'Z)) / ( ;> (J) + TNJIT
(J)
X. C I T (,j) =fF ( J) *COPU
J)
C -iF) (3) =Jk
(';' T I :
I- (.;.-'.
I
1 i'
(J) /P H I
) Sfl TO 21 '9
i]:(Cn-a( i .
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TT
*P
.
,.
IM 6 (J)
f-,=CHFR;(
.
----
P7EXP
(-6.51
2
-
I·~
21'
Go TO ?2;"
CDITi=CHFR(J)
2?
CN')iT
-107-
UtUE
CITR=C4TF3/31AQ9.731
IF(OATA(6) .LE..)
vt;ITC (6. 23) CPIT9
23
FOR'AT(//Inx.q4eNFTT
CHr PREOICTTOI:',E1l2.6)
E Nr
E3'01F·
_
_
-108-
1.4 .12 Listing of Subroutine CHEN
-
'"'
-109-
ClJOjtuTI E rFj
CO).,4O/ /tLJh!T/DZ,T,v7FO
O.AN,AN1 .7E,: - L,FVCPa.7uP
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/PR
R,P
P/P9ROO\tAPH\AP,HATAL4MTLAAMgDHSATGAMMA,GAr4!
A
VRnVRA.
1 HCO.G P An , I 0 WOWl.
TSAT P OA, H3, oPOUG. , ,
aFIC I C
.A'',I
A2 ,^
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, V D7 U
I , , CP . RE GH ( 20 )
CO'mON/GEN/,APOqD(2O)
.KPD(4t,2)
l-iIlLET*GTOTrOwEPCHAtN
2:J;:()[DS
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(20) 'A (?0) ,FRC(
AC4
C GTI R AVHYn 'V I ZE:-O'
T
TF I
3l_-'LC.T'HL,T2TLFR.LFRL2.PRTNJ.MPQ,
4HvnF)(20) L0CC(10) ,HPE (.2_0),
PFDC, n,
F
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10,20)
PZ tQ)
riHZFFO,
7
DO
,.),
rCHAN,J1A
N
X
C'.1.M0./ POTR(5t00)
.· aL' (50* 20) H.'cL(50,20)
Tt) L ( 0 ,'2n ), nJAL ( 50, 20)
,PGR
(0,?0)
CO':ON rnATa(P?n0)
4O40j/CH1/ HTCAVG(5025)
fCO
rTwvG ( 5 ,25) TFAVr,(S,2
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1
J= 1 5S
00 1
=1 ,2
n0
HTCO(J,) = .
Tw(JI)=0.
T(J I)=.
D, 28 K=l,4
r =KCAN ( ,mPOD)
n TO 28
IF(I.LE.9)
O) 28 J=JJ1,JJ?,JINC
T; (J, I) =TSAT+cL
7
rr)
r 3
IF(GK(J.I).L'.n.)
Tn
4
GO
5 HTC0(JI)
I CO/HY0
GO
-
(J, I) /CP
IF(QUAL(JT) .rTr.o.)
=n.023* ( (J, I ) *HY( I/4J)
**0.)*(DN**0.)*
(I
TO
HTCO(JT)
=n.
G0
TO
2
3 HSP=0.03'( (CG(J,I) *(I.-TOUAL(, I)
Y)f( I ) /Mu) *n .
1( aNO*0*. ) '-COj/wYF) ( I)
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*
nFt
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(J,,ofo )/ '"CO ) **.S
(Et(
I
J.I) .
.O.)
GO TO
h
IF( R (J. I ) LF. n .) HgP=cn.
P-tTFST=HSP- (0ELTS+T
TIT- (J
!F (-rTEST.
.F(,JPOn)
A x,':TT =l-/1
-
45T(;IJAL(JI)/(1.-T
J
I
IF(XATT. C.F.5) GO TO
F=.5*XXTT*XTT+P.9q.Yt
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TJ
))
TO 7
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T'O.*J
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H
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I
=
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LOG (FTP/.
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10
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5
IFL
r
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+(
,
TF-..,-
p
) ) :1 . O -5
-T 43
( r FTfT:-t:. ).F+(-,
(-:
(TFC --3 ) +:
- (r
4';,,,
+ 73.
(374.
1356-TNE ) * (
5353 *
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(JtM)
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13
)
IF(IFLa.EO.1
GO
TIF(T
T .GT.O.)
I FLG=
I
21
T
GO
2
T
F
I
O=(
rl
PI
TO
23
I = TO L
T
PdI !CH)
= I )! ,
PIH I :TI
T . = T niiLI
S! OE= (C!H
I I-PHL_ ) /(TT-i'LO)
T'.E- t = (
(J."
J '-O)
It (
->' T I
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SL 0 ;
7
3;O TOi
2
)+ ( S.L
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r)
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i
1
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I( i) -TF(.J
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1q'"
TF ( J, )T= Ti 2
T,, (j
r(l----- -·--- --
[ ) = f :, (J
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T ) 'l
,, u + -,,.
----
--
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HTCA (.J
tr,(J,
,( -IPOD) =HTC VG
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TraVG(J.NIRO)
=T=WAVG(J,.'P
,
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Pi) =KFL4G(JqMrD)
I )
---'
vmi~~~~~~~~~~~~~~~~`lllmi=-It~
+1
4OD) +HTCn (J
) +Tt (J
)
I NIUE
O)"100 J=JJ 1,JJ?.2.JTNC
,-TCAVG( .j . -~OD)=HTCAVGI J, "O ]/KFLAG ( J MRO0)
T.V,U(J,MRnD) =T'iVG(J,MOD)
/KFl- AG( J'400D)
1w3
TAVj
( J,.;'4PfO)
=Tr'JAVr (J,,,fPOD)
-HF (J,.vMO))
w'rTE (6,10n ) R00
lio0n FQnP'4T(//5 ,IP'OD NO.',t14//5X
/HTCAVG (J,'O0D)
ax sJ)Or',5x,
AVG HTC'T;X,.AVG
1 x'.'AVn ;Tr'/)
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oo)
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(6,500)J,rTCAVG(
J.M'-OO), T!4AVG(JMO0D)
5r
F'RI"AT (/7 X,1 2, X F9. 3. 3x F 8. 3.4XqFR. 3)
,TFAVG (,.Mnf).)
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\NOF.1,,X,LOC
HTC',Sx,LOC
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700
FOPuAT (/7X, I2
Efro
X, I2q5F9.3,3X
,F.
3)
TW,/)
T.il,
-112-
1.4 .1
Listing
of Subroutines
FUEL and FVS12
-113SlIUPROUT
T
12
(FK.
X V)
ln02!),20
IFr()
O
'tF FV
1 ' c=-1.
GO TO 30
?n C= .
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3' CI ' ( K
( .- 3,X X t f+C2.*X
V=ARS(F-. 1
r)
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ro1 lno
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Ao v=RS F-1. )(12.*Cx
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+A3S(F-2.)*
( x*1(
C X) *2)
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( b . * C * X- 4 . )
FUF
SUORUT TE
CALCULAT?-qFUFL TEMPFPaTJPE rTTPSTI3UTION IN THE P^0IAL DIOECTIOn
CC,'-ON /UN T /D7
T V7 F
N, ,,
4h t · 7
FL, FVCP
FFV CP
7P7UcR p
C::M(ON/:(E./N aPOD (20))
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,,GTNLFT (20)
1H TrIL.t.TGTOT, PO4FR. ,CHAN!l ( U) , A (O ) , FLC ( 1 ,2)n ,
m.!m'OS
Af(, tTJT., * VtYr) . \ I ZERO . TF I l, ZERO, HZFPO , PO',0O I qI. OC,
ATrF
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(l)
F
.
2,P~I!.N1OP~
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PFOACFCRp,,ICHAN,JMAX
COM!"O; /OITP/ SH4PAXPFZTOT,)IAR,
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iT = T / C-0 ) . Ct
N
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r: F TU,
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4-
-115-
1.4.14
Listing of Subroutine EDIT
FD T T
SI; -DIT
pi'T
r..>c
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t'T T
IF
AL I Cml
LnIi
V '.Ar) r'! j g'
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T
,
:-,T:T,
(
,'b)
-119-
1.4.15
Listings of Subroutines WATER and HYDP
·--- ·-- ·--
IIICI·IYIIILII
--·--
-·
L
-120-
'
S.JuPU
:
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$437E-3¢''4+61
Cp=4.6
4+',. 14*(-0
(
)+0.0
-- 5*P*PP)
(P0t
P-3..)*(P-30.
HLAT=HVA,-4l-AT
TT=315.
5_-TSA
S';r'T=l,.7r'
T
.235*TT-O.r7-5*TT **3.
(; '-'', -'a tHL a T
:G - .L,
C **":;' OTHER :.ESC.UqE D)PCF'D;'NJT A:A1"ETERS
DaTA PPC/221
.q/
DaT. qA
RN /B1-/
~F7C=1%5.q~44+*
( 1 ,-] ,*4q 7-2*
5-21
o0
HF ITC=-1.32.322* ( 1 *- l 135-2*PD+4371
,"'=RANK-+ .- BAN )D/ oC
VOP_I F T= 7.JR'P
(
AD.. S!JP T' ( !-G,
IF ( I.?,J., GT.O)
vOIFT=-V~IFT
H=2.
54F- 0~,*
E X o ( ,3. n6,32O=Co*
rDV T Ci!C N
HCO=0u.0
o73
0~P
O'
RD
H\/LVP, S T*4TLAM
* DLAN
M*H 5AT,G AMA GA4TA,
4nv
EQUIVALFNC (VTSC,'4,IJl
C -....
FUNCTTOJS
O ,,"
A h!Dn.
K
PF'TURN
F ',!r)
.a
-
A
-- 5*PP*PP)
6E-5*;>*PP)
) /P. D) **. 25
A,
---
-121SiJ3pOOiJT INF
HYOP (EY,'
)T
H ,UG)
YDRULICPPOP:-RTIEC
' ::--' EV4tUT$
:'
L'GICAL i,.
CO:
)", ON /
TRV. IVIFPEv\.
I TA, ILnC
r vV Z PO,AN, 4 , 7 ,,,T/Z.DT,
L,FV,C P R,7 UR R,
A4f&,~\PA,
:T.ALAM ,LAMDHSATGAM&GAl
COA*JON /.P(P/PO,IOVP,,HvAPS.
1 H Ci,GpA f nO O'.TA
T ,PDAi-:,
Q3,
Pl!JG,4rF IC ,3C R IC ,
,
2AK?, AMlIJWCO"t, S I -GMA,V n , TF T , RO
V ,U 7 J
C P , RER GH ( 20
TN ,tH ,
rTW,
\/ I T A ILOOCT TE T A 9 DR
Cr!)4 O0/ COrqT/F I 4) I R;3 I P-V I F
GOLn r O,
I
J\VIN
IJ,
H_TNJHTg,
F!l I
1 P IH
LOn,V OL ,VF I,-i RA P, Ti)t A A Ai4
?2I,0L,FFACFFLOC,AJ,AJ\/4JLVF,HL,G,) FDP,DPEXC,qAVEN,QP.P (4) ,
GFLUxJ
3XT ,P,
HO=Hd
HC=HCOPE y *.H=HC
TT A= (r/H;/ANi)
T
FSAVE=FP'ACT (tFY,
FF.¢AC = .
R* TU
E .'O
:
T F aVE/
**A
RriJGH)
0 IAH
1.4.16
Listings of Functions TIIriEF FFACT,
T'PFi
"-
I-L
II-~---
I
---
and TFLM
XCIYC~--~-I1"P~--911~_
Ip-ll___·__··-----·(-m·111111_-·11
-
-12 3T T '.- F (
I O,
Fl .'.!JT
f-IT\TNr,
':- lt..
C
GOr TO
1
4
( I ,.
*
)-
AX
T
)
TI[E
NlI"T;
.
T :1R L F
3) , T
1=1
I
K=
K =K+I
F(T:
,i(; )
IF (T-T.
.
).
1)
TO
1']
()16,S,,
T FF=x'T
FT
. .1
i.
T.F
(L)
;
A Tl'FF=X*-(TAR(L-1) +(T4Q(LI)-T4q(l_-I ) )*"(T-TA4S(K-) )/(TAB(K)-TAR(K-! 1)
)
I
Tf!F=X :r
( L - 1)
? TT EF=X*( 1.+4 ( ) *S.N (a (2) *T) )
PF
T I JIP.
R TI4EF=X
PFTU:
- !O
1 *TT-T+oA(4qT'*4+6"5f)*T**
T
(I.+A( I)C'T4() *T*T+A,4(')
)
-12 4-
Fg~i=~,:,n~~~
-,!JT
-:.
.,(-Y
..'h~
,t.)
IC
r .- F-4Ci
I ,.q
'
F,CT
~ TI, C,,-,~
r1
F
T],'
T F' Ph/q
I .
IF (X'[ . Co)
;"L_ riJLTItI.[,
F )T
r -.I.:
rL.!
DJTP,
C9DPLTTOX2
,
F'JNiCT
[!Trl _ ()VF *,
L')CrtL T!O :DH%4F
FLn;
T Lk4=
I
( ;!F
A)-
IIJLTIP IFP CP;LATION
.
L -. *
FT
~=(1.-'0)'>(1.-3)/ (1,-V:
T-L
)+;'1rlVFI/aF/
wFIHF
l!
LT--III---IIII_rr·_·i-·····s···
1i
-125-
1.4.17
Listings of Subroutines INIT, INVERT
and TRANSI
-126-
t
IT I
-
!
T
T r.q
./
T "C:
",
-'/
I
I
t.
9 tq
<L- T.',,:-()(
..
?; ~ r:! 5 * ,TF ,r,
^
T
1.'
:t:"'2nCO'\.)A 20)TR, ( ,);
( 5 3;1.2i V)
INi
L
FT(
)
C t, (p)
,:rj
t F, P
z. v Y. r? V I ZE
r
.0':'Ji/R iJ L2/ ;I .Jj,
,jCT
NC,
..`
;,,j^/t- [_.3/ TP~ T ,P PI
Cr't"~'*U:
. /T7r
HTr A , (
.,P ),TN
.J=
',
n
9
1
·
,:FC
,, E
p), Z
r,,rKCH
vr( 5
G
i?.
NL
) TI ),^
rs
nr
,?
·
7F
P O !F
,
I 10OC
\L(4, 25)
2 ) ,TrAV,(50,2S)
KFLAG(Sn,?c)
t,
I=l,2'
J,F(i =
I) .
0~,:-,VJ(J,
I).
,TC^v(
I.I)=O.
-eLG J1
(J. I )
Tw!V(!J.I)er
[.,!
Ti i J=1;'
CT
3
Fi': 0-)rl ( '·
F;':O
Ils__llUUI1I___LI___I____I_·CIV-CI
J-
T) =r
.^--_^__I___-·III·
.1-
I
.
-127T-
Rt!QR
Olt
C
0o[-
.l'N,5
VV
r :r~ T : T'
*
"\''
C~"!.
h
r,,Jt.E'LF ~z '"l.gl"r
e 1I T=1 ''
N ,I v
r) I
T'
!)
r '~&a
2
1!
q TF
T!
J ~(
.,,an)
j
( O,
(J
,I
CI .
,Aa,
)
'14
) '
(4
4
.
n)
T
I
K)
I ,
L;,',.l
CALL.
in
r
CT[
'
. j r -wr ( 4 , 4 O )*
)I
IP
, i V,K.'
(! T '
,iV;PT
T:-
'E( OO )
' ^>JI
q :fi;4L~JITT T
~---i
f
(XCL! i)
,'
.r'LUATF
r
,)AI CO
CC) FFTC
_
T
'I
/ 17J
/7
7,.C .
C :t- u
C't'", ',UF, I'irll_ i/
rJ= .'r',k'
!FT~C
,,''l
I
C: t-' O", /
'! '
.KCCPFC,
1T T . I r t ! · rl3 : i z 5 )
F !U-I_3/
Cl~.'.'1+JO
T-~
j
TPD
r,! ·E;JRI)0!' Y oO
n), ( 5( ii'
U';lLE
TS
t4 ?,
p-Er
m'
'
,T
, YI . -E I
C
, 7t
R
~r
~.'Hg ......G^C
TF \1 !(5O,2
F
,KFLAGt5n.?S)
: h DF ( O )
') (
XX
TN
T
FV
7-
,xCtP,)
n,)
) · ;T (20)
.R(O
FAL.wF.FC
,J =?
A!
AFF
F*H H F
,AL-C==KC/
CPC
OC)
OLF=FS/N~
F = F /N
i..l _C=(4 CS-CI ) / ,'C
,~', = NItF + 1
ITi =!'T + 1
='T
=NT1 !
F! .'gF = (;.;F + I,"
' ) '
(J, =,?r')E + '
O;r
15: '
3=!,' 1 / ( 3
0A
AP_
P=r nr-
(
2
'~>'==
p/**/
(R ;S+OrT
i3--Pzq
IF (T.(T.
T)
)/G
T- TFV
5*
"" C ) - 1
Pinnm
L2)
(L
!iQCU
TCS=T.*-:FRS'2/((.'C':
'H TC P \1r;
TC=T
CTCS*/
('PF,(
?.
TF%='[f.!
+-)2,A
1'!/,G~
'
L I-
cS: ) * At,r)(n(
LL-- )
1 kcf iI )
,x O
rO0 10
~.
-1i
1
X';')_7
I=,
'F1
i T ) = ! t'i+ ( J -1 ) -'3r
X:;= XN(:) ( I4
1 ) + G3
O0
F 1 =NF2.NT2
F
+
+
T
-(<,')=K
/':'
(H
NF
(L1.OL
I)+'-
/; ,'Or:( I ) =x.!+ ( I-F
I
l
) -:'nFIr
(IC.
F
. F!O·~
) (nGOTO 12
)':ld' J=1.2
( I +1) )
(
1 -'.-
(I
1 ) xN
)E (
))/
7=
(-1. * .} 'r'
't.7'_)
'FL'Ft)
i
r'F- ( XOl
( T-
(,
Sr)
15
!7 .6416
C/< )=x, / (r .TC! ',/ ( L1 ,L P )-: Ir- L C)
f =FL AlT ( K)
( ,I l_ Fvm,]P
I
C;. -!=,
(F!,
I.t
1
rq
l
,.V
l n
f.4 i F\J> .- ('--, ,1 ',t
)
~:^ ( i , (i- +'!) ':-' +K'<)
='Jl;-~ <_
_
_
_________lglP___III--_-----··-*·il(
I^------·llC---
-
-129,-
y( (Ntr~
I
)*J2 +K) =V0+CKHO: 10
J,:t (I ) =TJH
(;.
T-) 1 3
1-~ IF ( I-'.~C-~,) 17.1
17
I (I-1)
i , 1Q
20,20,21
1': I 1- t A4 ( L )-C I ) /ELC
X=(X-( L )-QCI-TI*DFLC) /DLC
Y=(i'
(L) -C I- (I I+ ) l
T'(T.GT..1
Ž21 I
GO T
/FC
/IL)
2n2
20 K= ,.12
F=rFLOAT
(.K)
CaLL FVS12
(F,'1,X,V:)
C\LL FV;12 (FI3,Y,,VY)
?x
'( I , ( I I +iFJ1) + =)=
( +I(I,I
Fa2)3
=YP
PJ2+)
xi()=TCS+(q3*oF<g**?(2~,§C))*aLrlpnct5/XPL ))
2n3
G; Tj
2'P C=ALHLPAC*nT/DFLC
TLO=n.
Fi_) 39 K
, I
F_&LUAT (K)
CALL
VX)
C:'L FV;12
F'V12 (F,X,,V
(F,,1*XVX)
C,'LL_ FVS2
(F,,
C',LL FV12
(FnYVY)
XvX)
CALL FVqi2 (F1,.YV1Y)
C.LL FV;1l2 (F.2,YV2Y)
x,(I,(lI+*NF+1)*J2+K)=VX-CK*((VlXtxP(L
))+(V2X/DELr))
XA(1
TI+*Ni+2)*J2+K)=\Iy-CK*( (ViY/X(L ))+(V2Y/rDELr))
J= ( I ] +!F + 1 ) t
IJl= ( I 1
2
+F 2) *J2+K
TOLC=TOt)+YC(IJ)
T) = T
X
+<
'J?
*VX-XC(TJl)*VY
LD
2i3 L=L-1
,)
T
13
] ~ G4C=.<C/
27
"
(
K=1I,
'-4*nCFLC)
2
F=Fti AT(K)
C!_L FVl12 (F,1,..V1l)
^CLL F1e2
"''i
L
V lP
(F,,n.
(F- .
,Vn)
1 .
V'I)
,'),
P(
"+:;d F) =) =f.o-:f
V'3
x Cm,'--=
(( I ; ( ;\j -.
-V )
. ;1 I 'J2
2d
K~J,
2
K=i
"' t, rvI12 12r*1O.
+, . Pl
1, v
-
C
2);!!
x;- ( I ·
r~l ,
_ (T ,
F- )
(
F-\'qt2?
F+
2
*J
) = /1
(~,n.-1,.
) J; _=-+.',"'\/
q l1)
i
,.(
'T(
)
T ) ='?.
, T
i
-130-
I
s = ( ' (L ) - I 1
::DELF
) /FrI_
= ( r (L) - ( T i
) -r)
F) / lRF
I (T.'T.
) GO Tn 2nT
-
.
~','
L
C,i I
F=FL)T
V
CaLL
2\vqt
(F,nX.¥')
(i
( 1+ I
J?+)
! =TFS
-C
2r,~
P
)
TU
(
) *p) /
(4'F)
W
<=.aL
?'4
T2
.qL
=Y
( ?F;S-:
-
+r3~
AF
'T /FL
F
I?
=K.
F= FL O T ( r )
Ca L L
F
F VS
CALL FVS12
C LL
4?
FV 12
V AItXI)
(F2,PX.V/X)
(F.l],.Y./J!Y)
C L FVS 12
X,(al *T lJ2+.)=
(F,2,Y.V2Y)
xt I+) ( I 1
I <=I 1 J2 +
'JP+K)
=
X-FK ('( fxlX/fXRQ(1
L ) +(v2AXrEL)
It1= (
1+i
) -:J2+K
TqL)=TO.
D
-T +
C ( I K)
VY-FK
VX + X
V1Y/X
)
(L )+(V2Y/r,ELF))
( T < 1 ) *VY
X ( T) =T LD+ tLPHAF*D T?/nF
!,1)
2(:- LL-i
I=1-i
?'
rO
TO
r),
40!0
1+
=1 J
F=FLV,:T (K)
C,l!
cl_L
r,
F'Vqi
(.
FVSI?
(;
( I,
1 .- 1. ,VI1)
) =Vl
x -i ( T)= )
i.F-7
x= (I)=Xq(
~ T-- +j,K )
: T":!
.-N
_LFP---·-·-P··-·-·s-i-·
__·__··___slllll·---------·s··---·
11_-_1_11·1· XI_
-131-
1.5
Some Additional Remarks on the Volumetric Crossflow
Coefficient Matrix and the Recirculation Loop Concept
1.5.1
Subroutine MATSET
The subroutine MATSET sets up the boundary number-
ing scheme and the connection matrix to be used for the solu-
tion of the net volumetric crossflows between subchannels
in the subroutine SOLMAT.
1.5.1.1
Objectives and Solution Scheme
The logic of MATSET, which is of main interest
for the solution, is outlined
below:
Note that in
any case, the connection matrix, which is representative of the geometrical
layout and recirculation
loops, is set up only once for the given problem
and is therefore inverted
consequently
once in the
subroutine INVERT, which will be described in the
next section.
a)
Initialization
of all arrays to be
used for the inversion process.
DO
12
I
DO
12
J = 1,40
XLU
(40,40)
1,40
= 0.
TMATI (40,40) = 0.
12
TMAT (40,40) = 0.
b)
Set up of the maximum number of connections (common boundaries)
for the given
problem by:
MATDIM = NCHAN + NOCIR - 1
where
(1)
-132NCHA
=
of
number
subchannels in the
bundle
IOCIR
= number of recirculation
loocs
in the bundle
T
.' is then the nmber of boundaries
MATDI
for the given problem;
i. e. if NCHAN = 8
NOCIR
=
3
= 10 which is exactly the number
MATDI
of boundaries o the problem shown in Fig. 10.
q. (1) is valid for any type of
Note that
For
subchannel layout.
the bundle shown in Fig.
symetry
In this
coincides
the only axis of
with the second column of rods.
case where only 8 subchannelsrepresenting
the thermal-hydraulic
analyzed,
16
the
condition of the bundle are
number of boundaries
is (8 + 3 -1) = 10.
For the bundle shown in Fig. 11 whereanother
type of subchannel
layout must be selected to analyze
the whole bundle, the axis of symmetry coincides
with the principal diagonal.
For this case the
number cf boundaries, i.e. also the number of volumetric
cross flows, is (10 + 3 - 1) = 12.
c.
IP1NTR is used as an index to be incremented
by the loop which sets up the boundaries.
Note that the boundaries
are numbered
from the top to the bottom and
from
to right of the array of subchannels
(See Figs.
I
_
_
111111_1__
ILIIYCIIY_·II1II
left
-133-
The variable NTW (I,J.) is the gap width
between channels I and J (1
Simultaneously,
I, J
<
NCHAN).
the DO loop 6005 sets up the connection
matrix using TMAT (I, J) as the current index for the
matrix elements.
(1
K
IJ
<
MATDIM).
Note
that this is not the connection matrix used for net
volumetric
numbering
cross flows solution.
The set up of the
scheme of the recirculation
loops, accord-
in to a set of given input data and the check for
consistency,
is done by the following
DO
500
500
NN
1,4
IF(NN) = MOD(MCIRC*C1),
IF (IF(4). Eq.0)
statements:
ID*o (Z*NN))/10*-(2*NN-2)
GO TO 6006
IJ(5) = IJ(1)
II = 5
i
I
KK
= 4
i
GO TO 6007
6006
I
IF(4) = IJ(1)
II = 4
KK
6007
.___
=
3
WRITE (6,650)
(IJ(J), J = 1, KK)
C
-1 34-
r
--
_
-- J-~~~~~~~.
`L
--
1
.1
F
I
iT
I,
i
,
I
;
I
I
.
,4
Note:
--
?-$ byanne
-Za e
3 Recrculation
8 Subchanne
IATDIM = 3 +
QIIIIICI
r~~~r~~~,,,,;,3
V~~~~~I
-
wh
- t-
ax
-
-
z' - - - <
'
.6
loops around A., ,
ls
=
IO
boundaries
_
1
I
_
)
-135-
A:
I
__
I
!,1
_
_
I
I
s
_
_
..
.
__
~
--
i
I
I
I
1
II
2
I
I
I.
Fe'rq S,.
Fig. 17:
S
L.7.:
ai:c
Pein7 P:t7
I
10-Subchannels array (with axis of
symmetry
Note:
3 Recirculation
B, C, E)
10 Subchannels
MATDIM = 10
+ 3 -
= 12 boundaries
loops (around rods
Note that for the square geometry arrangement,
a center-type
subchannel has 4 neighbors.
the subroutine MATSET
In
there is a point in the calcu-
lation sequence where a built-in procedure verifies
if the first recirculation
correct order,
loop input data is in the
(i.e. check for order of subchannel
number in the loop).
Next in the calculation
sequence is the
modification of the crossflows entries because of
the recirculation
e.
(See Section
).
The same procedure applies for the other
recirculation
f.
in the (
loop #1 condition
loop:
DO LOOP 600.
Once the connection matrix TMAT (,J)
I,J MATDIM) is set up, the subroutine
INVERT is called for inversion.
The connection matrix TMAT is presented in Table
for an 8 subchannels
1.5.2
case.
Subroutine INVERT
1.5.2.1
Remarks on the Connection and Coefficient
Matrices
TMAT (I,J) and TMATI(I,J)(1 \ I,J<
MATDIM)
The principal characteristics of TMAT(I,J)
are listed as follows:
a.
Sparse
b.
Non-diagonally dominant
c.
Contains 0 elements
d.
Is not symmetric,
e.
Elements
on the principal diagonal
therefore:
are not found within a band
-137-
domain centered around the principal
diagonal.
In analyzing the matrix more closely, one deduces
that the Gaussian Elimination
invert it.
method
is the only way to
No iterative procedure like a Gauss Seidel
method or others are feasible since the principal diagonal
contains 0 elements.
When running WOSUB-I on the IBM machine the inversion
is carried out in the Subroutine INVERT by calling a standard IBM-ISML Library subroutine: LINV2F.
MINV uses a conventional pivoting technique and
Gaussian Elimination techniques to solve for the coefficient
matrix TMATI
(I,J) (with 1
In addition,
I, J
MATDIM).
it should be noticed that for a run in
WATFIV (special compiler version), the subroutine to be used
is MINV.
One must carefully
check that the double precision
array, included as a standard
feature in that particular
subroutine, must be converted to simple precision
since
WOSUB does not use double precision.
The inverted matrix TMATI (I,J) with (O < I,J
is the coefficient
matrix to be used for the solution
volumetric crossflows in the subroutine SOLMAT.
1.5.2.2
MATDIM)
of the
(See Table
Role of the Subroutine INVERT and Use of
Arrays
The connection matrix TMAT (I,J) with (
(1 < I,J < MATDIM) is transferred
to A (I,J) with
(1 < I,J < MATDIM) which after inversion is stored in
TMATI
(I,J) (1 X I,J
4
MATDIM).
-138-
1.5.3
Recirculation Loop Concept
1.5.3.-
Se -Up
of the Problem
One of the original
use of the recirculation
features
in WOSUB is the
loop around each fuel rod.
This method consists of considering the net recirculation
volumetric flow around each rod to be zero.
It has been assumed that at any axial eleva-
tion in the bundle, the transverse pressure gradient
is zero.
In order to get a complete
conditions
for the problem,
to recirculate
closed system of
the flow has been assumed
around each rod in such a way that the
net recirculation volume flow around each rod must
be zero.
one has
Therefore,
(N + K -
if one gets N channels, K loops
) conditions to be satisfied
for
the flows:
a.
N-1 conditions corresponding
geometrical
to the
layout of the array of subchannels,
i.e.
the relations between qi, the total volumetric
flow into subchannel i, and qij the net volumetric
crossflows
from subchannel j to subchannel i.
b.
circulations
qij's
loop.
K conditions corresponding
to the re-
loops, i.e. the relations between the
around each rod surrounded by a recirculation
-139As shown in volume 1 [ 3 ] these two sets of conditions can be written in matrix form as:
MR = Q
To illustrate the nature of the coefficient matrix
M, consider the 8-subchannel example shown in Fig. 11.
For this layout one has:
q12
ql
q15
q2
q2 3
q3
q2 6
q4
q34
q5
q3 7
q6
q4 8
q7
q5 6
i
I
q0 7
I
i
q7 8
i
M is shown in Table 7.
0
0
0
Note that:
a.
Row #8 satisfies loop condition for rod A.
b.
Row #9 satisfies loop condition for rod B.
c.
Row #10 satisfies loop condition for rod C.
-140
Table 7 Matrix
I
2
3
4
1
.
0
0
1
i
1
0O
3~~~~~~~
-1
2
II
1
;j
o0
0
03
4
i
-l
O
6 o0
0
6
I
0
-1
0
0
O
I
I
0
u
O
1
5
.
6
0
i
0
O
~~~~~
!9
.7
;
9
1
0
O
O
~~~~~,
1
0
0
0
0
1
O
CO -1
0
O
-1
-1
O
U
i
O
C
.
1
0
O
O
ol
O
1
1
o
001
0 -!IlO
_-!_-____ __
I~~~~~
t
o
0
0 O~
-1
7 -1
81010
o
o
-1
°r
-
0
-1
°
I
0
-1
0
1
01
Note that:
a.
The array qiJ is initialized
to zero before
the calculation.
b.
The array
qi is initialized
and filled with the
previously discussed loop conditions and with
the known total flow for the remaining
(N-l-K)
subchannels.
c.
The operation
implied by matrix
is then performed
yielding
crossflow vector).
eq.-2
R (net volumetric
-1421.5.3.2
Subroutine
SOLMAT:
Solution
for the
Volumetric Crossflows
Once the matrix TMAS (I,J) has been inverted,
subroutine SOLMAT solves for the net
volumetric crossflows:
R = M-1
Q
(2)
The operation performed in subroutine
SOLMAT is as follows:
m
---
q1 2
I
ql
ql5
q2
q23
q3
TMATI (I,J)
q26
q34
I
=
I [Inverse of TMAI(I,J)]
q37
q4 8
"4
q5
i
,
(I,J = 1, MATDIM)
q7
0
q5 6
0
q6 7
q7 8
q6
0
I
O
-143-
1. 6
Limitations and Execution Time
This section is devoted to an analysis of the main limitations
of WOSUB-1 with respect to the calculation capabilities and structure
of the code.
Note that the following remarks are not inherent to the physical
model but to the code itself.
An estimate of the execution time is also presented and dis-
cussed.
1.6.1a.
Limitations
WOSUB-1 can handle a maximum of 20 subchannels:
this
obviously does not allow the analysis of a full (8X8) BWR fuel rod
bundle, and therefore this point is a serious drawback for the
)
calculation capabilities of the code.
It should be noted that it is
possible to modify the size of the arrays and common blocks of this
computer code to handle such large bundles.
(See Section
2
"TWOSB3-2
User"s Manual".)
b.
The subroutine MATSET sets up the coefficient and connection
matrices for the case considered.
Print outs of such matrices have
shown that they are sparse and non-diagonally
dominant.
No particular treatment of these matrices or reduction in a more
compact array is considered
in the numerical scheme of WOSUB-1.
Therefore, when the inversion of the coefficient matrix is carried out,
the zeros in the rows (or in the columns) are part of the calculation.
,.'
.0
-144This might result, for large cases of matrices, in long
computer-
. calculation time, and therefore costly runs.
One should note though, this problem has not been a serious
drawback for the cases usually treated (3, 8, 10, 16 subchannels).
But for large cases, a more efficient solution scheme should
be-
devised.
c.
In its Dresent version WOSUB-1 can handle square-rod bundles
and therefore square subchannel geometry.
of the code has
pattern or
A considerable modification
to be undertaken if one wants to analyse triangular
round
fuel rod bundles. The maximum number of
neighboring subcharnnels WOSUB-1 can handle is 4.
bundles in which
For the analysis of
6 neighbors must be considered, one must design a
new topology and therefore a new numerical scheme.
co.mon blocks and arrays
Besides all the
must be redimensionned.
would particularly involve the subroutines MATSET,
Such
a change
VrERT, SOLMAT,
GEOMRY.
Execution Time
1.6.2
For the steady state calculation and for small-sized problems
.SUjB-1
runs shortly
10 problems, in
one
compared-
to other codes.
For a series of
run, each one involving 16 subchannels and
50 axial elevations, the compilation time on IBM 37011i68
level
ith aGI
compiler, is of .008 minutes and the execution time is
.564
minutes.
Note that the H compiler level has not been used for
WO3SUL-1, butt hat an improvement in compilation and execution time for
large problems
can be envisioned
using it.
i
----__
I_____llllillllUIIIILIIIIIII^II__
I-
·
I1
1--·--·11111
--·
-145-
CHAPTER 2
USER'S
MANUAL OF THE COMPUTER CODE
WOSUB-II
-1462.1
Introduction
The code WOSUB-II extends the calculational capabilities
of the WOSUB-I
code to a maximum of 45 subchannels,
36 types
of rods, and features a tabulated heat flux distribution
option.
Moreover,
it is possible
input
now tc enter the input data
either in BTU or MKSA systems and get the possible combinations
for output.
Because
of thne above change, the input data numbering
has
been modified along with the routine MAIN, subroutine DISPLAY
and EDIT.
The logic of the remaining subroutines has been left unchanged.
This manual describes the changes in the array size,
input data deck numbering,
and the consequently modified
MAIN,
DISPLAY and EDIT.
Chapter 1 describing the WOSUB-I version should be consulted
as the reference manual
for WOSUB-II,
too.
Because in what
follows, only the changes made in WOSUB-iI are reported.
Furthermore,
it should be noticed that WOSUB-II
contain the subrcutines
CHF, CHEIN and FUEL yet.
does not
2.2
Implementation
The WOSUB-II
of Extensions
code is defined by the following
series of
modifications which have been brought to the original version,
WOSUB-I.
a.
Extension
of all of the arrays contained in the
original version, WOSUB-I, for handling a maximum of 45 subchannels,
36 rods type, and 28 recirculation
loops.
This allows to analyze
half of an (8 x 8) BWR bundle, with respect to the principal
diagonal.
Previously the code could handle (WOSUB-I) a maximum
of 20 subchannels
type, 25 rods, and 25 recirculation
loops
(See Chapter 1).
b.
possible
Tabulated heat flux distribution
input option:
It is
now to enter a heat flux table for each rod in the array.
Each table contains as many elements as the number of axial
increments
procedure
selected
for the problem.
is not yet available
(Note that an interpolation
for such a distribution.)
Section2.3 for input data and Section
2.2
See
for changes made
in the subroutines.
c.
It is possible
to enter data in MKSA/BTU
and get an output in MKSA or BTU systems.
logical index, and changes are reported
system unit
ICON is the modified
in Section
2.6
for MAIN, DISPLAY, and EDIT.
These changes have resulted in the more general version
of the code, WOSUB-II.
exception
It should be noted though that with the
of the changes a) to c) mentioned
above, WOSUB-II
the same logic and physical models as used by WOSUB-I.
uses
-1452.2.1
List cf P'odified Arrays
The modified
arrays are given in detail in the fcllow-
ing tables for the purpose of easy reference in case the
code should get extended
again.
Ncte that the dimension
types of the arrays are categorized
1.
means
hat the dimension
subchannels
2.
into 5 groups.
depends on the number of
(type number).
means that the dimension
depends on the number of
rods (type number)
3.
means that the dimension
subchannelboundaries
4.
depends on the number of
(type
means that the dimension
number).
depends on the number of
axial nodes.
5.
means that the dimension depends on the number of
axial heat flux nodes.
Tne dimensions of types 4 and 5 were not increased but
kept constant at the same value of 50 as originally
WOSUB-I
set up in
for the maximum number of axial increments in the
bundle.
It is thought that a change in the number of increments
should be coupled together with a change in the number of
axial heat fluxes nodes with an interpolation
scheme.
For
this purpose the arrays are listed (changes in columns 4
and 5), and corresponding
changes can be handled very easily.
-149__
MAIN
{
I
MODIFIED
CARD #
I
ARRAYS
00305
RERGH
00306
NAROD (45), KROD (45)
HF
r_1
I
3
4
S
(45)
x
(36)
VINLET (45), GINLET (45)
x
HF (100,-)
00307
CHANN (45), A (45)
FFLC (-,45)
l.
00310
HYD (45), HYPER (45)
00311
JOIN (45), NJOIN (45,-),MCIRC(28 ) x
SL (-,45)
x
00312
ROPN
(36)
x
00313
PEAK
(36)
x
x
AXSHF (100)
I
00315
RDPW
(36)
x
00318
AVHF
(36).
x
-150_
___ _l
DISPLAY
I
CARD #
00594
I--
ARRAYS
ARRAYS
ODIFID
iMODIFIED
I
-
4
3
5
JOIN (45), NJOIN (45,-),MCIRC(28 ) x
SL (-, 45)
00595
RODN
00598
RERGH (45)
x
00599
NAROD (45),KROD (45)
x
'
(36)
VINLET (45), GINLET
x
(45)
'
HF (-,36)
x
HF (100,-)
00600
CHANN (45),A(45),FFLC(-,45)
00603
HYD (45),
00604
PEAK (36)
x
x
HPER (-,45).
'
AXSHF (100)
00606
RDPW (36)
00607
WP
x
'
x
(45)
I
__
_ ____
----
I
--"
__
------ -- ----
---
-151-
GEOMRY
!
CARD#
00711
I
MODIFIED ARRAYS
1
)
JOIN (45), NJOIN(45,-),MCIRC(28
RODN
00715
RERGH (45)
00716
NAROD (45),KROD(-,45),VINLET(45)
2
3
4
5
x
x
SL (45)
00712
_
.
(36)
X
x
GINLET (45)
AF (-,36)
x
HF (100, -)
x
00717
CHANN (45),A(45),FFLC (45)
xx
00720
HYD (45), HPER (-,45)
x
xXXX
X
00721
x
WP (45)
X
t
00722
SLIP (45), VR7 (45,-)
00723
CHYD (45)
I
I
X
X
.I
-152MATSET
1
.
CARD #
___
MODIFIED ARRAYS
2
1
00790
3
4
S
NAROD(45),KROD(-,45),VINLET(45) x
GINLET
x
(45)
x
HF (-,36)
x
HF (100,-)
00791
CHANN (45), A(45),FFLC(-,45)
x
00794
HYD(45), HPER(-,45)
x
00795
JOIN(45),NJOIN(45,-)-MCIRC(28) x
x
SL (-,45)
00796
RODN
00797
NTW (45,-)
x
(36)
x
TMATI (72,-),TMAT(72,-)
X
XLUC (72,-)
x
TMATI (-,72),TMAT (-,72)
X
XLU (-,72)
x
I
t
r
---
---
-----
------
c.
__
.~_
-15 3-
INVERT
I
C.
1
00903
I
TMAT (72,-),N(72,-),VI
(72),
2
3
x
V2 (72)
x
TMAT (-,72), V (-, 7 2)
x
4
5
J
-15
STEADY
I
-
-
4-
|
-
00920
-1
I2
I
CARD #
IIIIII
-
1
--
M--
-T Tr-n
,.~ ~--'
A7R'2 A....
V
NAROD (45) ,KROD(- ,5),VINLT(45)
5
3
ii
I
-±_ , 7 -1
,, ' _
__
X
GINLET (45)
HF (-,36)
X
x
HF (00,-)
3]
i'
00921
CHANN (45), A(45), FFLC (-,45)
X
00924
HYD (45), HPER (-,45)
X
00925
JOIN (45),NJOIN (45,-)MCIR (28)
X
SL (-,45)
X
00926
RODN
00929
RERGH (45)
0930
RDPW
00931
SLIP (45), VR7 (45,-)
(36)
X
X
(36)
X
X
-155Ill
NI
II
I
II·
TRANS
.
I
CARD #
MODIFIED ARRAYS
00966
NAROD (45),KROD(-,45),VINLET
1
(455
)
2
3
4c
x
GINLET (45)
X
HF (-, 36)
x
HF (100,-)
00967
CHANN (45), A (45),
00970
HYD (45),
00971
PEAK (36)
FFLC (-,45)
HPER (-,45)
x
x
X
x
AXSHF (100)
00973
JOIN (45),NJOIN
(45,-) ,MCIRC(28)x
SL (-,45)
00974
RODN
00977
RERGH (45)
00978
RDPW (36)
00979
SLIP (45), VR7 (45,-)
x
x
(36)
x
x
x
S
i
-
-156__
_
__
VMIX
CARD #
1
MODIFIED ARRAYS
2
2
1
1328
AJT(45) ,AJVAP945), FIHLIN
QT(45),
1329
QVT (45), QLT (45)
1331
GF L( 45),
5
x
x
x
EXCHM (45), HLIN (45),HDIV(45)
TDH(45),
1330
(45),
4
3
x
VFI(45)
AJN(45), AJ VN (45)
x
AJLN (45), DPFR (45),VFN(45)
x
HLN (45), GN (45), GFN (45),
x
GT (45), SAVN (45)
x
ENSAVE (45) ,FAC(45) ,DPS(45),
EPD (45)
x
EDPO (45), QTO(45), AJLI (4 5)
x
1332
XTR (45)
x
1333
NAROD (45),KROD(-,45),VINLET(45)
x
GINLET (45)
x
x
HF (-,36)
x
HF (100, -)
x
133 4
CHANN (45), A(45),FFLC
1337
HYD (45), HPER (-,45)
x
1338
JOIN(45), NJOIN(45,-) ,MCIRC(28)
x
SL (-,45)
x
(- , 45)
1
i3
1339
RODN
x
(36)
,).
II-------
`slll-~~1~-~I··IPI(·U·IIII
-11
-·1---1·1·1__1__---·I _ll--_--·---r- g·
1_-_01
-157:
ei
MIXIN
4
I
CARD #
.
MODIFIED ARRAYS
m
1
-
,
.
__.
1356
SLIP(45), VR7 (45,4)
1357
JOIN(45),NJOIN(45,-),MCIRC(28)
4
5
x
1358
RODN
1360
NTW (45,-)
44
(36)
TMATI (72,-), SRMIX (72,-)
X
SALDD (72,-)
X
TMATI (-,72),
x
RMIX (-,72)
x
SALDD (-,72)
1362
AJT (45), AJVAP (45), FIHLIN(45)
QT (45),
1363
QUT
(45), QLT
(45)
EXCHM (45), HLIN(45), HDIV(45)
TDH(45),GFL(45), VFI( 45),AJN(45)
AJVN (45)
1364
AJLN(4S),DPFR(45) ,UFN(45)
HLN (45), GN (45), GFN (45) ,GT(4! I)x
SAVN
d
1365
G
1366
(45)
x
ENSAVE(45 ),FAC(45),DPS(45),
EPD
0,
3
SL (-,45)
4
4
2
,,,,,
(45)
x
EDPO(4 5), QTO(45), AJLI(45)
x
XTR (45)
x
-i, S__
MIXIN (cont'd.)
_I
I
__
11
CARD#
MODIFTED ARRAYS
1367
NAROD (45), KROD (-,45)
2
3
4
5
x
HF (-,36)
x
HF (100,-)
VINLET (45), GINLET (45)
x
1368
CHANN(45), A(45),FFLC(-, 45)
x
1371
HYD(45), HPER(-,45)
x
1374
RERGH (45)
x
1375
WP (45)
x
I
I
I,
II
1
--~~~~~--_l___-------F----·-·
_11111__
..^
-159-'
ii i
Ji
SPLITD
_
C
CARD #
I
1_
__
_
_
_
_
_
MODIFIED ARRAYS
1
AJT(45) ,AJVAP(45) ,FIHLIN(45)
x
QT(45), QUT(45), QLT(45)
x
EXCHM(45) ,HLIN(45) ,HDIV(45)
x
TDH(45),GFL(45),VFI(45)
x
AJN(45), AJVN(45)
x
AJLN(45),DPFR(45),VFN(45)
x
HLN(45),GN(45),GFN(45)
x
GT(45), SAVN(45)
x
ENSAVE(45),FAC(45),DPS(45)
x
EDP(45),EDPO(45), QTO(45)
x
AJLI(45)
x
1444
XTR (45)
x
1445
NAROD(45),KROD(-,45)
x
VINLET (45),GINLET (45)
x
1440
1441
1443
HF(-,
_
__
2
-3
x
36)
x
HF (100,-)
1446
CHANN(45), A(45),FFLC(45)
x
1449
HYD(45), HPER(-,45)
x
1452
RERGH (45)
x
1453
QTK(45,-), QVK(45,-),QLK(45,-)
x
--
_~~~~~~
4
5
-160:
i
I
SPLITD (cont'd.)
1
.I
_
=:
_
--
i
MODIFIED ARRAYS
CARD #
1
__
1454
;
I
x
SL(-,45)
x
RODN
1456
NTW (45,-)
1458
I
__
JOIN(45.),NJOIN(45,-),MCIRC(28)
1455
3
2
I
-
5
-
-
x
(36)
x
TMATI (72,-),SRMIX(72,-)
x
SALDD (72,-)
x
TMATI (-,72), SRMIX (-,72)
x
SALDD (-,72)
x
SLIP (45), VR7
(.45,-)
-
-- 'tm
C
-161-~
.........
SOLMAT
cI
CARD #
MODIFIED ARRAYS
1549
TW3(45,-), W(45)
1
1550
x
x
JOIN(45), NJOIN(45,-)
X
MCIRC (28), SL (-,45)
X
1551
RODN
1552
NTW (45,-)
1554
x
(36)
X
TMATI (72,-),TMAT(72,-),XLU(72,-
X
TMATI (-,72), TMAT(-,72),XLU(-.,7 )
X
NAROD(45),KROD(-,45),VINLET(45)
x
GINLET (45)
X
HF (-,36)
I
x
HF (100,-)
r
4
3
2
VEC (72), RHS(72)
C
t
1
1555
CHANN(45),A(45),FFLC(10,45)
x
1558
HYD(45), HPER(-,45)
xX
I
I
I.
---- ----------
5
-162I
.
.
.
.
I
I
WATER
I
MODIFIED ARRAYS
CARD #
_iiii
1583
1
2
3
4
5
i
x
RERGH (45)
I
llxl-lc`"^lsIl"IIIVYI-Y-Y"~""
-··--------(··IIIP1l·i---·----il-P·
llllllsP119·ll-·--··4·C·01
-·-X.
-163__
HYD
I
i
MODIFIED ARRAYS
CARD
1728
1
x
RERGH (45)
C
C
(
C
C
I
I
I'.
I
-
2
----------
1
3
4
5
-i64-
CONTI
I·
_
___
_
__
____
__
CARD #
MODIFIED ARRAYS
I
1622
RERGH (45)
x
2
3
I
I
I
.
-.
L
I
__
__
___
___
__
__
__
4
5
(
-165L
I
IIII
I
SWEEP
__
__
___j
CARD #
2
x
IBN (45), IREN(45)
x
1085
RERGH (45)
--
x
1086
AJT(45), AJVAP(45),FIHLIN(45)
x
QT (45), QUT(45),QLT(45)
x
r
1087
C
1988
EXCHM( 45)
HLIN(45),HDIV(45)
X
AJN (45), AJVN (45),
X
AJLN (45), DPER (45),VFN(45)
x
HLN
X
(45), GN (45), GFN
SAVN
(45)
(5)
X
ENSAVE (45), FAC(45), DPS (45)
x
EDP
X
(45), EDPO
(45), QTO
I
x
TDH(45), GFL(45), UFI(45)
GT (45),
1089
4
3
.
IB(45), IRE(45), IFRE(45)
1073
I
1
MODIFIED ARRAYS
i
C.
1
(45)
AJL (45)
x
1090
XTR (45)
X
1091
VFAV (45), GOUT (45),GOUTV(45)
x
GOUTL (45),XOUT(45), EOUT(45)
x
1092
BAL
x
1093
ITER (100), PDROP (100)
X
1094
QTR(100,-) ,ALF(100,-),HEL(100,-)
x
I
I
1-'-------1-1--1-1I--·
111___
(45)
5
-166i
I
SWEEP (cont'd.)
1
I
4 .(,-ART) g
1094
MODIFIED
ARRAYS
I1I
I
_3
-3
x
GR (100,-)
1
QTR (-,45),ALF(-,45),
HEL(-,45)
GR (- ,45)
1095
TQUAL (100,-),
1096
x
x
XQUAL (100,-)
TQUAL (-,45), XQUAL (-,45)
x
NAROD (45),
x
VINLET (45),
--
KROD (-,45)
x
GINLET (45)
HF (-,36)
x
HF (100,-)
X
I
1097
CHANN
(45), A(45), FFLC (-,45)
x
1100'
HYD-(45), HPER (-,45)
x
I
I
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v
--
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I
-1
---
------------
----
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C
-167EDIT
EDIT
2
I
CARD #
MODIFIED ARRAYS
1
1762
RERGH (45)
X
1763
NAROD (45),KROD(-,45),VINLET(45)
X
GINLET (45)
X
I
1764
CHANN (45), A (45),FFLCC45)
X
1767
HYD(45), HPER(-,45)
X
1768
VFAV (45,GOUT(45),GOUTV(45),
GOUTL (45)
X
XOUT (45), EOUT (45)
X
1769
BAL (45)
X
1770
ITER (100), PDROP (100)
1771
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X
GR (-,45)
X
1772
x
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x
GR (100,-)
x
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(-,45)
x
x
TQUAL (100,-),XQUAL (100,-)
I
5,
4
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3
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I
2
x
1773
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1774
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x
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x
5
I
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EDIT
EDIT
2
(cont'dl
_-
_
_
CARD #
I
I
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MODIFIED ARRAYS
1775
RODN
1776
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2
1
x
(36)
x
i
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IJ 4
,3
(i
t.
-
3
- -
------
.4
5
-169-
2.3
Input Data
The increase
in the array sizes as well as the set up of
new arrays have resulted
in changes in the input, although
the
input data card structure has been kept the same as described
in
section 1.1 for WOSUB-I.
2.3.1
Order Scheme for the Input Card Deck
Group 0
Control Card
Group 1
Title Card:
Group 2
General input data
Group 3
Array arrangement
Group
Recirculation
4
Identification
of the run
input data
loop specification
Group 5
Geometrical
Group 6
Array sizing
Group 7
Subchannel roughness specifications
input data for subchannels
input data
Group 8
Parameters input data
Group 9
Physical parameters
Group 10
Relative peaking factor input data
Group 11
Axial peaking factor data
input data
Axial flux shape input
2.3.2
Group 12
2-D-heat
flux input data
Group 13
Blockage
specifications
Group 14
Transient
Group 15
Perturbation timetables
specifications
input
input
List of Input Data
On the following pages instructions
preparing
are given for
the input data card deck for the code WOSUB-II.
To more easily comprehend the meaning of certain data,
C_
I_
CI_
· _-_ II_
---_ ____I_1F___1___II1_1_
I
-I spl ·-
- 70
-
additional explanations are given vy placing numbers intc
the column"'Rearks,' wn"hi
ch refers te user to Section 1.1.3.2.
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REFERENCES
[1]
L. J. Guillebaud: Vapor Diffusion in BWR Fuel Rod
Bundles, N. E. and M. S. Thesis, Department
of
Nuclear Engineering, M.I.T., January 1977.
[2]
G. Forti, J. M. Gonzalez-Santalo:
A Model for Sub-
channel Analysis of BWR Rod Bundles in Steady-State
and Transient, Int. Conf. Reactor Heat Transfer
Karlsruhe, 1973.
[3]
L. Wolf et al.:
WOSUB--A
subchannel
Code for Steady-
State and Transient Thermal Hydraulic Analysis of
Boiling Water Reactors Fuel Pin Bundles, vol. I, Model
Description, M.I.T. Energy Laboratory Report forthcoming.
[4]
L. Wolf et al.:
WOSUB--A
Subchannel
Code for Steady-
State and Transient Thermal-Hydraulic Analysis of
Boiling Water Reactors Fuel Pin Bundles, vol. III
Assessment and Comparison, M.I.T. Energy Laboratory,
Report forthcoming.