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JAERI-K—92-16© JP9304132
JAERI-M 92-160
FLOW NETWORK CALCULATION CODE FOR HEAT,
MASS AND MOMENTUM TRANSFER
IN A MULTICOMPONENT GAS MIXTURE FLOW
WITH GRAPHITE CHEMICAL REACTIONS
November 1992
Huaiming }U* Masurou OGAWA and Makoto HISHIDA
Japan Atomic Energy Research Institute
~AERI-M
92-160
FLOW NETWORK CALCULATION CODE FOR慌 AT.
MASS AND MOMENTUM TRANSFER
IN A MUL TlCOMPONENT GAS附XTUREFLOW
糊THGRA件前ECHEMICAL REACTIONS
November 1992
日田imingJ町 M四J:rOU∞AWA創idMakoto阻SHIDA
日本原予カ研究所Japan Atomic E附 gyRe縄問hInstitute
』血目I-It-92・160
』附'3M13Z
(=F3i9 -li £«WKI4S;*«MB +is-f-*«•£««) -c-a»*t; i «%«»«*-&- * ^ -c
JAERI-M reports are issued irregularly. Inquiries about availability of the reports should be addressed to Information Division
Department of Technical Information, Japan Atomic Energy Research Institute, Tokai-mura. Naka-gun. Ibaraki-ken 319-11, Japan.
©Japan Atomic Energy Research Institute. 1992 * * * £ i f B*IS'f-*JflF%>*r Bl W i- :f ^ J EdWKW
JAERI・[¥11.-ポートは.日本原 f力傭究所が不定期に公明IIIて‘ゆ研究報告膏て寸e
入手の間合わせは.日本原子力締究所技術情報SG情報資料誕(〒:319c-n;;:.峻県郡河広東
海村}あて.お申Lこl<だきいe なお.このほかに針団法九日匡子力弘済会資斜センタ-
t〒319-11 ~定峻県贋:珂郎東海村日本原-{.力街究所内〉で縫写による3巨費頑衛をおこなって
釘りますc
JAERI.・Mrepons are i田 ledinquJarly.
Inquiri田 ab倒 1availab面ityof the repons sh凶 Idbe addr間宮dto Infonniluon Di:吋自由
Departmenl of Technic:aI Infonnauon, Japan Atomic: En町IYRes国n:hInstitute, Tokai.
mwa. Naka春日1,lbaraki.ken 319・11,Jap回.
。Japan.-¥'omic Ene噌恥出町hInslilule. 1鵬
編集量産発行 日本様子力僻究所
印 刷 いばらき 印刷側
JAER1-M 92-160
Flow Network Calculation Code for Heat, Mass and Momentum Transfer in A Multicomponent Gas Mixture Flow with Graphite Chemical Reactions
Hualining JC , Masurou OGAWA and Makoto HISH1DA
Department of High Temperature Engineering Tokai Research Establishment
Japan Atomic Energy Research Institute Tokai-EKira, Naka-gun, Ibaraki-ken
(Received October 2, 1992)
A flow network calculation code was developed to predict the thermo-hydraulic characteristics during a primary-cooling-pipe rupture accident in a high temperature gas cooled reactor such as the High Temperature Engineering Test Reactor (HTTR). The present calculation code deals with a natural convection of a multicomponent gas mixture (helium, nitrogen, oxygen, carbon monoxide and carbon dioxide) with graphite chemical reactions. One dimensional conservation equations of mass, momentum and energy for the gas mixture and equations of mass for gas species were solved by using a flow network model in the code. The calculation was performed for a flow channel system of an experimental apparatus simply simulating the cooling channels of the HTTR. The whole configuration of the flow channel is a reverse U shape, and the one vertical side of the reverse U shape consists of three parallel channels. Two of these channels are graphite ones. The entering flow rate, flow rates distributed to the parallel channels, generation volume of carbon monoxide and corrosion volume of the graphite could be calculated by the code.
Keywords: High Temperature Gas Cooled Reactor, Numerical Analysis, Flow Network Model, Reverse-U Shaped Flow Channel, Gas Mixture, Graphite Chemical Reactions, Pipe Rupture Accident
* Institute of Nuclear Energy Technology, Tsinghua University
I
JAERl-~ 92-1610
f1o~ ~.ett.rork Calculatiol!U Code for Heat. Mass aod Moment:um Transfer
io A Hult:icomponent Gas Mixt:ure Flow
留ithGraphite Chemdcal Reactions
会
Huaiming J~ • Masurou OGAVA and Makoto HISHIDA
Departlltent of High Temperature Engineering
Tokai Research Establisnment
Japan Atomic Energy Research Institute
Tokai-mura. Naka-伊 n.Ibaraki-ken
(Received October 2. 1992)
A flow network calculation code was developed to predict: t:he t:hermo-
hydraulic characteristics during a primary-cooling-pipe rupture accident
in a high temperature gas cooled reactor such as the Hlgh Temperature
Engineering Test Reactor (日τTR). The present calculatlon code deals with
a natural convection of a multicomponent: gas mixture (helium. nitrogen.
oxygen. carbon monoxide and carbon dioxide)留itbgraphite chemical reac-
tions. One dimensional cODservation equatioDs of mass. momentum and
energy for the gas回ixtureand equations of mass for gas species were
solved by using a flow network model in the code. The calculatlon was
performed for a flow channel system of an experimental apparatus simply
simulating the cooling channels of the HTTR.τhe whole configuration of
the flow channel is a reverse U shape. and the one vertical side of the
reverse U shape consists of three parallel channels. Two of these chan-
nels are graphite ones. 1be entering flow rate. flow rates distributed to
the parallel channels. generation volume of carbon monoxide and corrosion
volume of the graphite could oe calculated by the code.
Keywords: High Temperature Gas Cooled Reactor, Numerical Analysis, Flo日Network Model, Reverse-U Shaped Flow Channel. Gas Mixture.
Graphite Chemical Reactions, Pipe Rupture Accident
* Institute of Nuclear Energy Technology. Tsinghua University
JAERI-M 92-160
<IS92^I0lj2n-Sil)
^6Jc >iM:'?xlf* c-3?*. 65*, ' v ' ^ i . ~Stft*££\ :*.&(&&,£> 0>fE.**.£M£i5-5. ft/itf)
II
JAERI-~I 92-160
_'DJiiの化学反応をfli'う土努f?の
~成分JUúU事流れの第・物質・ ì"'~,~百絡橋計p;コード
日本「京子力研先所恥毎佐原裕!日:uMn~学部
医 :平均i・.小川益郎・菱m ~
( 1!.192!;:WJj ~日正FID
r~":Ïlg [宇品験研究,!jit t, HTTRJ のような,:":It,i.4 tiスがにおける寸欠JT却系配l~彼自fd.故時の量生afi
動特性を子市;するため、 TI~~縞計nコードを開発したーイ日Blコードでは、~~!鉛の化学反応をfI:う
多成分泌行為f本 (~l;. 僚会、ヘリウよ"後R従来、三段ftßJ立系〉のn伏t{,況をtlì う -i欠Ji:.V'>
i髭(,~\J~の賢也、選約九L エ.?.ルギ-jfi:: tf..Jtと各h足分九H紅白11:iiL保存式をl'i-i3綱モデルをI!j l ‘て前
l't: 字社n:で;主、 IITTr?の冷却前路を簡常に慌挺Lた実験袋5円!の試験。f,i1:i体系をi{吹とした
この試験if.tj:i-は、全体にほ逆仁字恕をLており、この逆ι字の -Jj ~") ifiC(i.iriti:1部I主、 3~~1Iji!,tおと
なっているご 3 並抑IJii~:iのうち 2 1lÍftj~は黒ro!,,[f.~でぬるごこの齢fi.ii解析コートによって、空主i{'1人
if.i母、冷却ぷ'tj3配分if,t抗、 ー般化炭J;のft'主riL:.u日前}廃食尽を~tp.することができた
東海研究員時:干31911 実地県耳j;!è!:-~ll,毎村白方字nm:! . .1 * 暗撃吐:学牧民伐市研究院
11
JAEK1-M 92-160
Contents
1. Introduction ................................................... 1 2. Nomenclature ................................................... 2 3. Numerical Analysis 3 3.1 Basic Equation 3 3.2 Flow Network Model 5 3.3 Algebraic Equation 7 3.4 Correlations of Heat and Mass Transfers and Pressure Loss ... 9 3.5 Rate of Chemical Reaction 11 3.6 Average Value in Branch 13 3.7 Initial and Boundary Conditions ............................. 13
4. Results and Discussion 15 5. Concluding Remarks 16 References 16 Appendix Computer Program 33
S ik
i. if i
2. ill v 2
•i mmw 3 3. i mmjUA. 3
3.3 immtx. « 3.4 »«*W«rai4S£ffi/rffi*®ffliaj!t 9
3. 5 itfZW&m 11
3.6 77>*lzt5lfZ¥£}1& 13
3.7 ftffi • JJjSMfef* 13
4. *S3l<!;tfctf 15
5. £ ±36 16
%%Xhi 16 n m 3 > k !
3 - > - ^ D y 7 i , 33
111
.l--¥ERl-~!訊2-n6lJi
Contents
1. Introduction
2. Xomenclature •••••••••••••••••••••••••••••••••••••••••••••••••• 2
3. Numerical Analysis •••••••••••••••••.••••••••••••••••••••••••••• 3
3.1 Basic Equation •••••••••••••••••••••••••••••••••••••••••••••• 3
3.2 Flow Net百orkModel •••••••••••••••••••••••••••••••••••••••••• 5
3.3 Algebraic Equation •••••••••••••••••••••••••••••••••••••••••• 7
3.4 Correlations of Heat and Mass Transfers and Pressure Loss 9
3.5 Rate of Chemical Reaction ••••••••••••••••••••••••••••••••••• 11
3.6 Average Value in Branch ••••••••••••••••••••••••••••••••••••• 13
3.7 Initial and Boundary Conditions ••••••••••••••••••••••••••••• 13
4. Results and Discussion ••••••••••••••••••••••••••••••••••••••••• 15
5. Concluding Remarks ••••••••••••••••••••••••••••••••••••••••••••• 16
References ••••••••••••••••••••••••••••••••••••••••••••••••••••••••• 16
Appendix Computer Program ••••••••••••••••••••••••••••••••••••••••• 33
目次
1. J f. ...・H ・H ・H ・..…...・H ・....・H ・......・H ・...........・H ・......・H ・.......・H ・.....・H ・..…H ・H ・.....・H ・.......・H ・
9J己弓7・H ・H ・......・H ・..……………H ・H ・..…...・H ・..….......・H ・......…......・H ・........………・H ・H ・ 2
:1. 数納解析 …H ・H ・...・H ・.....・H ・.....・H ・.....・H ・-……………・…...・H ・-…............・H ・.........…H ・H ・ 3
:]. I 基俊方程式 ……………………...・H ・......…・.....・H ・..........".......……………………….. 3
:1. i 管路網モデル …………・….............・H ・-……………・…・…・…...・H ・-…・…・…....・H ・-… 5
:1 :1 代数万腹式 …..
:1 ~ 然・物質伝達率と圧力領失の相関式 ………………・………………・…・….. 9
3. J 化学反応速度 ……・.........………………...・H ・.......・H ・......….......・H ・...…H ・H ・'.'……・・ 11
3.6 ブランチにおける平均値 ……………………“…・…・…・…・………………………… 13
3. i 初期・境界条件 ...・H ・.....・H ・...・H ・..…'"・ H ・............・H ・...・H ・..........・H ・………………・・ 13
-1. 結果と検討 ……………………‘H ・H ・-…・…H ・H ・..….....・H ・.....…・…・…・…・…・…...・H ・-… 15
;). まとめ ………………・…………………...・H ・......・H ・.......・H ・-…...・H ・...・H ・...・H ・..…".・H ・. 16
参,,;-文献 …...・ H ・.....・H ・...・H ・-・………………H ・H ・.....…......・H ・-…...・H ・-………………H ・H ・.. 16
付 録 コンビュータープログラム...・H ・H ・H ・..…...・H ・..…...・H ・..…………'"・H ・..… 33
111
JAERI-M 92-160
1. Introduction
Japan Atomic Energy Research Institute (JAERI) is building the High Temperature Engineering Test Reactor(*) (HTTR) at Oarai Research Establishment. The HTTR is a high temperature gas cooled reactor with thermal output of 30MW and outlet coolant temperature of 950°C, employing the pin-in-block type fuel, and has the capability to demonstrate nuclear process heat utilization using an intermediate heat exchanger.
A primary pipe rupture accident is one of the most critical (important) design-base accident of the HTTR. The accident starts from a guillotine break of the primary coaxial double pipe in the primary cooling system as shown in Fig. 1. When the primary pipe rupture takes place, a gas mixture containing oxygen enters the inside of the reactor vessel (RV) through the breach of the inner pipe from the reactor containment vessel (RCV), and the oxygen reacts with high temperature graphite. The graphite chemical reactions may cause corrosion of graphite, temperature rise and generation of inflammable gas; carbon monoxide. It has already been assured by extensive safety analysis and evaluation under the conservative assumption that no serious damages are caused to the reactor core and the RCV during and after the accident^2).
On the other hand, it is of great importance to know the real phenomena of the accident in order to understand the safety characteristics of the HTTR and in order to carry out a safety design with higher accuracy. In the analysis of the accident of the HTTR, the TAC-KC computer code was used to analyze the thermohydraulic characteristics and the GRACE computer code was used to analyze the graphite oxidation < 3>. Thus, the thermohydraulics and the graphite corrosion were separately calculated by using the TAC-NC code and GRACE code, respectively. The assumptions were considerably conservative in the analysis. For example, it was assumed that only the reaction; C + •= O2 •* CO was taken into account as the chemical reaction of the graphite oxidation and no combustion of carbon monoxide was considered.
Accordingly, we developed a flow network calculation code to deal with heat, mass and momentum transfer with homogeneous (carbon monoxide combustion) and heterogeneous (graphite oxidation and Boudouard reaction) chemical reactions. The entering flow rate of the gas mixture, the corrosion volume of graphite and the generation volume of carbon monoxide were calculated in the code.
1
j.:-¥ERI-~1 ~~-Iω
1. lntroduction
Japan Atomic Energy Researcb Institute (JAERI) is building the Higb
Temperature Engineering Test Reactor(n) (H1TR) at Oarai Research Estab-
lishment. The HTTR is a high temperature gas cooled reactor with thermal
output of 30HW and outlet coolant temperature of 950・C.employing the
pin-in-block type fuel. and has the capability to demonstrate nuclear
process heat utilization using an intermediate heat exchanger.
A primary pipe rupture accident is one of the most critical (impor-
tant) design-base accident of the HTTR. The accident starts from a guil-
lotine break of the pr王国rycoaxial double pipe in the primaη cooling
system as shown in Fig. 1. When the primary pipe rupture takes place. a
gas mixture containing oxygen enters the inside of the reactor vessel
(RV) through the breach of the inner pipe from the reactor containment
vessel (RCV). and the oxygen reacts with high temperature graphite. The
graphite chemical reactions may cause corrosion of graphite. temperature
rise and generation of inflammable gas; carbon monoxide. lt has already
been assured by extensive safety analysis and evaluation under the con-
servative assumption that no serious damages are caused to the reactor
core and the RCV during and after the accident(2).
On the other hand. it is of great importance to know the real phe-
nomena of the accident in order to understand the safety characteristics
of the HTTR and in order to carry out a safety design with higher accu-
racy. In the analysis of the accident of the HTTR. the TAC-NC computer
code was used to analyze the thermohydraulic characteristics and the
GRACE computer code was used to analyze the graphite oxidation(りThus.
the thermohydraulics and the graphite corrosion were separately calcu-
lated by using the TAC-NC code and GRACE code. respectively. The assump-
tions町'ereconsiderably conservative in the analysis. For example. it l
was assumed that only the reaction; C + ~ 02 .. CO was taken into accollnt
as the chemical r~action of the graphite 0瓦idationand no combustion of
carbon monoxide was considered.
Accord~ngly. we developed a flow network calculation code to deal
with heat, mass and momentum transfer with homogeneous (carbon monoxide
combllstion) and heterogeneous (graphite oxidation and Boudouard reaction)
chemical reactions. The entering flow rate of the gas mixture, the cor-
rosion volume of graphite and the generation volume of carbon monoxide
were calclllated in the code.
JAEK1 M 92 «fa"»
2. Nomenclature
A : Coefficient of Eq.(3.15) B : Coefficient of Eq.(3.I5) Cp : Specific heat at constant pressure Da : Damkohler number d|( : Tube diameter of k th branch dp : Tube diameter of reference branch f : Friction factor f : Generation ratio of carbon monoxide mole fraction to carbon
dioxide one G : Flow rate (=pU) g : Gravitational acceleration (=9.807) k + : Chemical reaction rate constant M : Molecular weight m : Solid/gas chemical reaction rate (=mass flux) N'u : Nusselt number P : Dimensionless pressure p : Pressure Pr : Prandtl number Q : Generation heat due to carbon monoxide combustion R : Gas/gas chemical reaction rate Re : Reynolds number R„ : Gas constant (=8.314) Sc : Schmidt number Sh : Sherwood number T : Temperature TJJ : Absolute temperature t : Time V : Dimensionless velocity u : Velocity AV : Volume of node X : Dimensionless axial distance x : Axial distance Ax : Length of branch
Jレ-¥!::f{! :¥1 併せ ntiゆ
2. Xomenclature
A Coefficient of Eq.(3.15)
B Coefficient of Eq.(3.i5)
cp Specific heat at constant pressure
Da Oamk,δhler number
dk Tube diameter of k th branch
dO Tube diameter of reference branch
f Friction factor
f Generation ratio of carbon monoxide mole fraction to carbon
dioxide one
G Flow rate (~pU)
g Gravitational acceleration (:9.8U7)
k+ Chemical reaction rate constant
~I Molecular weight
m Solid/gas chemical reaction rate (=mass fl蹴}
Nu Nusselt number
P Di四ensionlesspressure
p Pressure
Pr Prandtl nu田ber
Q Generaticn heat due to carbon monoxide c白血bustion
R Gas/gas chemical reaction rate
Re Reynolds number
Rg Gas constant (=8.3J4)
Sc Schmidt number
Sh Sherwood number
T Te田perature
TK Absolute temperature
t Time
l' Oimensionless velocity
u Velocity
OV Volume of node
X Oimensionless axial distance
x Axial distance
Ox Length of branch
'} u
JAERI-M 92 160
Suffix b : Bulk C : Graphite i : Gas species j : The number of the node k : The number of the branch n : The number of the time step w : Wall 0 : Reference (Inlet or Atmosphere)
Greeks a : Heat transfer coefficient 8 • Mass transfer coefficient Ek : = dk' d0 n : Pressure loss coefficient 0 : Dimensionless temperature 6 : Angle of branch from gravitational direction \ : Thermal conductivity p : Density T : Dimensionless time v : Kinematic viscosity ui : Mass fraction
Here, all units used are the International System of Units (SI units).
3. Numerical Analysis
3.1 Basic Equation
One-dimensional transient equations of mass, momentum and energy conservation for a gas mixture are as follows:
i£ + JL 3t 3x
(3.1)
3u , 3u 3p ,4 , 1 _ ,.p I ul . . ,_ .. P "37 + p u 3x" = ' 3x " (d^ f + S| V^ u + P8 c o s e k ' ".2)
P ^ (cpT) + u (cpT) = S ka(T w - T) + Q, (3.3)
3
jt¥民間 ~1 92 ~ 1ω
Suffix
Bu1k
Graphite
Gas species
The number of the node
b
C
i
-τJLU品 The nu図berof the branch
The nu回berof the time step
Wall
n
百
Reference (1n1et or Atmosphere) o
Greeks
Heat transfer coefficient
'L'E.
n
n
e
e
---Z
E
C
---Z
S
A
g
-
A
F
I
f
e
e
o
o
c
c
r
s
e
s
,E
o
s-
n
a
e
r
r
t
o
u
d
s
s
a
J
E
s
k
e
a
d
r
M
H
Z
P
A
.,
....
K
E
a
B
Dimension1ess temperature
Ang1e of branch from gravitational direction
Thermal conductivity
n
。e
Density
Dimension1ess time
λ
p
T
Kinematic viscosity
Here, a11 units used are the 1nternational System of Units (S1 units).
Mass frac::tion
、Jw
Numerical Analysis 3.
Basic Equation 3.1
One-dimensional transient equations of mass, momentum and energy
conservation for a gas mixture are as fol1o日s:
(3.1) <lp • <l 瓦+五 (pu) = Sk mc'
(3.2)
(3.3)
bk
nu s
o
c
g
nv +
u
山一2
、.20
・“nH1
やゐ向"“-x
'A-AU
+
p
,
•. -L民
zu『-JU
,.、
U 去旬。 Ska{Tw-T) + Q,
3 ~
Dιx
qo
司、。u一x句。町、。u
nv +
u-t
ヘOTO
nv
ρ ー主 (CnT) + <lt '~p
JAHKI M 92 WW
here, k represents the number of the branch.
" di, A S k = : r - S - = f- . (3.4)
Ideal gas is assumed. The density of the gas mixture is given as:
* - R ^ • < 3- 5>
A one-dimensional transient equation of mass conservation for each gas species is in the following;
P — + cu —— = St pEfiuj,. - nit + Rj . (3.6)
The gas mixture in the accident may consist of five gas species; helium, oxygen, carbon monoxide, carbon dioxide and nitrogen. In the above equations, i=l, 2, 3, 4 and 5 show helium, oxygen, carbon monoxide, carbon dioxide and nitrogen, respectively.
We convert above equations to dimensionless ones by the following normalization:
X = — A ' d 0 d_k
A x k
c k = -p , V (3.7) d r
u ji\o g dz ' U = u^ * ( u ° =V p c ' i p = P o ~ p^in> [
G = D U ,
P ' , . 9 P 0 2 . (p' = p - Pa« -57 = POS cose k) J. (3.8)
PO u 0
T
t 1 " I E -
"0 j
4
帥
Utu -'¥1 犯止¥ERD
here, k represents the number of the branch.
Sb 'dK4. 一一一民 ・・..1.2 dk-1; ok
(3.4)
1he density of tbe gas mixture 1s given as: ldeal gas 1s assumed.
ロ}1ρ=一ー一
Rg Tk (3.5)
A one-dimensional transient equation of mass conservation for each g2S
species is in the following;
σω3~~
Dτf+cuτず'"5k pEi¥ι"'1 -wi> + I¥i ・ (3.6)
The gas mixture in the accident may consist of five gas species; helium.
oxygen, carbon monoxide, carbon dioxide and n主trogen. 1n the above equa-
tions, 1=1, 2, 3, 4 and 5 show heliu.古. oxygen, carbon monoxide, carbon
dioxide and nitrogen. respectil.'el}'.
1イeconvert above equations to dimensionless ones by the fol10町ing
normalization:
、x x =一千
dO'
dk
Ek 石' (3.1) L
均一九VA
IU , fr印 Ed 7} 一一 . ~uG .;一一一了一, ~p Po - ~min) Uo Pi;
G 口合u,
i)po p 一之二一i • (p' P -PO'τ;z pog cos"k) 。oUo
(3.8)
ノ
1
内 Ti:: ;;ァーー一 ,
"max
E 1: ーァー .
旦♀
Uo
JAEKI- M 92-16U
Da.
Dai
Re =
Pr =
Sc<
Xu =
4m c j t Po u 0 ejt
d c Eti
PO "0
d 0 U(j
v 0
PO C P0 v 0 Ao
vo D H e / i
a d 0
($i dg 1 ~ % e 7 i '
do Q
Shj =
Q* = PO u 0 cpO Tmax
PO ~ P « flpt = - cose k , > 5 k PO - Pinin
* 0
c * = . 2 . p cPo
J
(3.9)
The above normalization derives dimensionless equations from Eqs.O.l)-
(3.3), and (3.6);
^P . 3 , * t . \ r. TT + 3X ( p L ) " D a » C
8U 3U 3P °k p*IUl p'"-r- + p i » • ? £ * - • ? £ - (*f • T - 5 - 2 nc) , U + Ap6
*i 4 Sh
(3.10)
(3.11)
p * *_ ( C p * s ) + p*v £ ( C p * 9 ) = ± j f i j (0W - 9) + Q* (3.12)
P* ^rr + P*D - ^ =-r- B , -„ P*(u„, - ^i) + D 3 l U - 1 - 5) (3.!T
3.2 Flow Network Model
We can solve the differential equations of Eqs.(3.10)-(3.13) by using the finite difference method. However, much memory capacity and calculation time are necessary when the calculation is executed for the cooling channel system of the HTTR because of many cooling channels. Therefore a one-dimensional flow network model is applied to the problem. One cooling channel can be expressed by using a branch and the branch is connected to other branches at node in the flow network model. No distributions of variables are considered in the node, that is, the node is assumed as a point without volume. Thus, we can easily describe the complicated cooling channel system with these branches and nodes.
In the branch, we can obtain basic equations of momentum and energy
5
、l1lil-lili--apl
.Il:¥ERI ~I 9'.!-iW
D-・1
dτI
-e
h一旬
・1hu
Da.. 4mC ー一一司 C PO u(I E:k
Q会 doQ =
伺
P!I UO CpIJ 且max‘,
・1-E
R-u
phニハピ
d-P
一-4A
a
nu
(3.9) ρ。-1> flpt.ー一一一一-COS6", . 民1>0- P1I!in
Re一生 U()- , ¥10
,
内
u-uv-
nu-P一日
C
一Anv-
nur『
=
r
p
・p会 ρ
一一 , Pal
cf=三p-l' C
Pil
SC< _ V()
Ci 耳石i
I¥u = a dO =ーλo
The above normalization derives dimensionless equations from Eqs.(3.1)ー
(3.3), and (3.6);
(3.10) dp:l:. d , * -ー+~:. (p 00(;) Da ... aτ <lX ,~-, --W,
女 au 会<lU ilP dk ~ ,p会IUIPT+P U E王=ー五ー (4fト五五 E町正}τ主EU+APK (3.11)
(3.12)
(1 • 1 -5) (3.!~ ,
ρ*去勺:1:G) +ρ*U会(C/l3)会£もzf~畠。)+ Q企
安 dU.i 会,()c.;i 4 Shi 会
♂ ττ+山吉=τEEEZ P寓(Wwi-ωi) ... Dai
Flow Network ~Iodel
We can solve the differential equations of Eqs.(3.10)ー(3.13)by
using the finite difference method. However, much memory capacity and
calculation time are necessary when the calculation is executed for the
cooling channel system of the HTTR because of many coo11ng channels.
Therefore a one-dimensional flow network model is applied to the problem.
One cooling channel can be expressed by using a branch and the branch is
connected to other branches at node in the flow network model.
3.2
No dis-
tributions of variables are considered in the node, that is, the node is assumed as a point without volume. Thus, we can easily describe the
complicated cooling channel system with these branches and nodes.
In the branch, we can obtain basic equations of momentum and energy
5
JAKKI XI X tb"»
conservation for the gas nixture and of nass conservation for each gas species by integrating Eqs.t3.ll) to (3-E3) from the inlet of the branch to the outlet in tne X axis direction.
< W x " f-x = «*W tS + J C P * ) " - U*)"+!} ^ (3.14)
px - px+£x = A k G k + 3».
!«-kl „ £X A k - (4 fiXf + Z r J 5 + — j. (3.15) i
£>K+ix P x "
{(c p* C ) s + i ! C - (c p* C) s}G k (3.16)
r k Re Pr
+ U c p * C>» - (c p 3) n + 1l ^ ^
Uu>i)x+!x - (-i)xfck (3.1?)
4 Sh,- P*
If no chemical reaction takes place in the branch, Damkohler number in Eq.(3.14) is equal to zero. In the node, basic equations of mass and energy conservations for the gas mixture and of mass conservation for each gas species are expressed in the following.
I(d2 G ) k = I(Da w AX d 2 ) k . (3.18)
K G c p* C ) k = 0 (3.19)
I(C ^ i ) k = 0 (3.20)
Here, in Eq.(3.18), the gas flow rate entering the node is defined to be positive and the flow rate going out of the node to be negative. The
P signs of the heat flow rate of (Gc_ G) in Eq.(3.19) and the mass flow
6
t.j"j'
conservat fon f or tlle gas n.i::.:ture atllU lO,jf ロ.:nSS cOllllservatio.n f口reach gas
species by inte.;ratitrl>; Eq;s. U. U) to O. n:n llro,t!] the inlet of tite brand1
to the o,alet i目 Ü'e 瓦 ax.i~ directiot1l.
¥, 日前1':;J~\Et{ 1
(3.14) Gx・俳句 -cx=DaECEX+td}日ー山田ir!}祭
(J.15,)
Px -Px+ι;, = Akιk+Bk
iGld tJ¥ Ak = (4ιXf +午 ~.)τーァ-15+E...ι..似
G:'<+ιx {;x-会 Gk
Bk = { ~._~ --=i-> + (ιp"'"k- t: ~}~X ρ~: ... ・乙x p. x
d
(3.16) -h
G
E' x
、.FfJV
4胃
nr
E
pe
・、VH .、一+
V日、,
h
一
》
去
D-c
,a
、rqt
t. Xu 壷
一一ーとー::-{G.,.-'::) + IQ寓 }ιx
‘q, Re Pr 匝
,,, n~ト L 、 戸女!1X+ f{cp*o::,)R_ {句、 )U--"--~jτt一
(3.17) {(Wi)x+~x - (-i)xIGk
4 Shi p合ー
= ,一一一一一一一-(,~",-, -c..',) + !)a,}LX k Re SCi 'Wi -L ふ
n+l l p* UX + f(!.ci)n - (可} F ーでーー
If no che回icalreaction takes place in tile branch. Damkohler number
in Eq.(3.14) is equal to zero. ln the node. hasic equations of mass and
energv conservations for the gas mixture and of mass conservation for
each gas species are expressed in the following.
(3.18) i:(d乙 G)k=工(DawcιXd2)k'
(3.19) nu --k 、J
Pト
w
会
Da
c
pb
(
でム
(3.20)
Here, in Eq.(3.18}. the gas flow rate entering the node is defined to be
positive and the flow rate going out of the node to be oegative.
signs of the heat flow rate of (Gcp * 1:,) io Eq・(3.19)and the mass flow
/)
The
i:(G -i)k = 0
JL1EK1 11 92 IS*
rate of (GO in Eq.O.2®) are decided in the similar way as the flow rate. The node temperature and the node nass fraction are used as inlet values of the forarach for the outflow froai the node and the temperature and ctass fraction of the branch cutlet are used to calculate the node values.
Am experimental apparatus teas been manufactured to simulate the natural convection siraply during, the printary pipe rupture accident in the HTTB. The flow channel of the experimental apparatus is a reverse U shaped circular cube. Tlie one side of the reverse K tube is a hot region and the other is a cold region as shown in Fig. 2. The cold and hot regions sinulate the inlet cooling annular channel around1 the reactor core and the cooling channels in the reactor core, respectively. The Stat region of the reverse V tube consists of three parallel vertical channels. One of the three channels is a cold channel and the rest are hot channels. The hot channel is a graphite circular tube placed in an electric furnace which is represented as Test section A o»r C as shawn iu Fig. 2. The temperature difference between the three channels simulates the one in the radial direction of the reactor core. Figure 3 shows the flow network used here for nodeling the experimental apparatus. So.5 and 11 branches in Fig. 3 are graphite channels. The arrows in Fig. 3 denote the positive direction of the flow rate. The dimensions o>f the branches in Fig. 3 are shown in Table 3.
3.3 Algebraic Equation
In the present flow network shown in Fig. 3, the right-hand tern in Eq.(3.21) is necessary only vhen the node connects to Che \"o.5 or So. II branch. The other nodes do not require the right-hand term in Eq.11.21).
E(d 2G) k = (DaU(. &X d)k» (fc* = 5 or If) (3.21)
Here, the sign of G^ is defined as plus for the direction of the arrows shown in Fig. 3. For the pressure, in the closed circuit of the flow network model, the following equation is obtained from Eq.O.IS):
E(Ak G k) = - EB k (3.22)
JL¥JElI¥:ll 九n!9'! ti!)1か
r a.~., o! í.[;,~) i1rn E<!jj.O.Ztrll)J :Jllre <dlecr::n.ded :n.n 1the sli低iill:JllrW::.1!y己sthe' fl!.ollT
rate. 'fh" l'la<le 1tempelr:Jlltl!lllre :Jlllloll It}h,e lJllircte =SS tlracr:tiu'iil: I.l~e l!IlseJ :JlS inl!.elt
vahues of th" orar:cdl fo>rr ItHne ",l!IlItUa:rr.t frrf!mJ tEre Iltl/l:l1fe .:lll!tcdl tfu:e teml7er-atl!J:re
and oass flrollC1tii.Cml cj[ dlle blr:Jlncm, I:ll!Iltl!.et alre w>ecdl t<ll' cl.llletllll;:tlte the node
1fal...es.
AlIl experiaenltai ap~arat~ι fu:as areen Ilu'in巴factl!lllred11:0 simu]ate tfu:e
na~"'lral cOlllvectiClIl s:n.mplly cdl皿,r:n.tngthe plriimalrY pi~e rupullre acr:cr:ident in the
mττR. The Bo町 clmanllle!.cf ~m,e expelrimentall ap~alratuJjs is a lri~'lelr5e li
shaped circnd.arr tn1lllre. The <lli!re side <llif tfu:e lre¥Werse l): tl!llli!e is a holt I:"egion
and the other is :Jl ccllcdl lre包:n.onas shcvn :n.n fig. Z.τtti~ e~lld ;:md. ho,t
regions sio:nlllate tile :n.nllet co<o>lling ann...ll.:llI'ι1:tal!tll1ie主 alr也はlII:t1' the n~act(i)r
core and the cooHlIlg cfu:anne1is in II:he l:"eacttCOlI:" CCOlrre. rrespectiltelIy. 'Fh~ :rot
region of the lreverse c.r tlUlbe c<.lnsislts oi tlh!lree tt3lraUel verrtici¥ll dtan-
nels. One of the three cha四ne]sis a c<llilld c~nDell and the ~est a~e ~ot
cflan目els.ηlehoc dnamneR js; <11 grapHDitce cirrc~lI a!" t~fre p!aced In .:m
electric f1.1rnace wiuidu is lreJ!lllresented as l'est see:1tion A a,rr q:; ;15 sit'O皆n 11¥
Fig. 2.τhe tel:iperrat日redifference betも.eent:he t~Tl'll"ee r.:hmme'l世 sit:'.u1:.nes
the one in tlJe radial cUrecti<lli/il COlf tl!e rre3clt<llirr cl1JJrre. Figure J sll'"配s r!:e
flov network used here [or aodellilllg tiue eK~elr~ment:3! appalratus. ~o.5 and
I n branches; in F1g. 3: alre grar~Tlitte channells. nte .IIlr'll"OWS. i1!b ltig・Jdenote
tile positive dlirecltion of tl!e f]or.g rate. '1"he d:limensfons 0'[ the br~Tlnches
in fig. 3 are shown illl Tab[e 3.
3.3 Algebralic EquaticlIl
In the present fllow network shown in fig. 3. the rriは.Ilc骨 fuamftert:l .i.n
Eq.(3.2l) is necessary olllly -.rhen the node CI1JJI!mec::ts to t!te So.5 01" ~o.11
branch. The othe-r lIlodes d占 notrequi-re t:he lright-ha~d t:erm in Eq.{1.21).
L(dZG)k = WaWC且Xd)k' Hr.・ 501:" HJ 0.20
Here, the sign cf G" is defined as pllus forr t1.", olin:cthm of th", ...LrrofolS
shown in Fig・ 3. For the pressure. 1n the closed circ::uit of the f10町
network model, the follo‘iing equation 1s obtained from Eq.(3.1S}:
r(Ak G~) = - LBk (3.,!2)
d
JrtEKB M 92 - M»
In the present calculation three closed circuits are chosen front the flow network in Fig. 3:
(1) No.l closed circuit: 2-3-4-5-6-7-13-12-11-10-9-8 (2) Ko.2 closed circuit: 8-9-10-11-12-13-19-18-17-16-15-14 (3) Ko.3 closed circuit: 1-14-15-16-17-18-19-20-21-22-23-24-25-26-27
(These figures denote the branch numbers in Fig. 3.) The energy equations of the gas mixture at the branch and the node
are written as follows:
Gk^p* e>x«* - OfctCep* e ) s . &l + Cc p* e ) X l + 1 «J) (3.23)
+ (<cp*e>«»- C C / G ) ™ * 1 ! ^ ^
(cp* G ) X i I(Gk fi£) - EfCcp* 0 ) x M x f e <Gk gp - 0 (3.24)
respectively. In Eq.(3.23) the i th or (i+1) th node in the k th branch is selected as the node of inlet side, judging from the flow direction in the k th branch. In the energy equation at the i th node, k (k » 1,2,3,«") branches connect to the i th node as shown in Fig. 4. In Etq. (3.24), (c p* &)x+flx is the outlet value of the k th branch and (c p* 8 ) x
is the node value of the i th node, in Eq.C3.25), max(Xl,X2) denotes the followings;
if XI > X2, then max(Xl,X2) = XI if XI < X2, then nax(Xl,X2) = X2.
The equations of the ceass conservation for each gas species at the branch and the node can be expressed in the same manner as the energy equations.
Gk("i>x+Ax ~ Gk^ ui>x i o£ + ("i) X i + 1 S p (3.26)
4 Sl^ P " { c k Re S c > « i " ui> + D a i }
+ { ( U i ) n - (^)«H->}_S1^
8
J);W.Rn ¥n 9"1 -nb(~'
ln the present calcuUation three closed circu孟tsare chcs~n fr~ the flo~
net1otork in F1g・3:
(1) ~o.n closed circuit: 2-子・4-$ート1-n1-n2-n1-10-9-8
(2) ~o.l closed circ国主t:$-9骨 10-11-12-n3-19-18-n7-16-15-n4
(3) ~o.3 closed circuit: n-14-15-16-17-18-19-20晶 21-22-23・・24-25-26-27
C1bese figures denote the branch nurr曲ersin Fig,. 3.)
The energy eq皿ationsof the gas mixture at the braoch and the node
are written as fol10v5:
Gk(Cp常時計AXFGkftcJ03X16t+《cJ。》X1+Eap
4 :S:u ー会
= { ,-":-:. m_ {!Jv - d) + Q""}邸tk Re l'r ,-'"
田圃+n, fiI'会ru¥+ t<Cp- D)回 _
{c"" - O.)'UT" } .!!!:..一一一血τ
{cJ 03xi HGksb-EffcJ。}叶'Axlc:Gk QkJ z 0
+ .Gk .-Gk ó~ = I!I3x(一一一, 0). 5;:-= max.(一ーー.(]I) k ---, ~Gkl!
• -,. -k --.. ~Gld
(3.23)
(3.24)
(3.25)
respectively. ln Eq.(3.23) the i th or (i+n) th node 10 the k th brancn
i5 5elccted as the node of bll1et side. judg:ling Irom the flov d:lirection
in the k th branch. 10 the energy equation at the ! th oode, k (k z
1,2,3,・・・)branches connect to the i th ncde as shown io fig・4. lln Eq.
(3.24). (cp企巳)X+且:xis tUUE oUlltlet .... alue of the k th br:mch andl (cp金 19)X1
is thc node value of the i th Rode. ln Ecq:.O.25). max(Xi.X2) denotes thc
followings;
if Xl > X2. then max(Xl.X2) = XI
if Xl < X2. then max(Xl,X2) X2.
The equations of the maS5 conservation for each ga5 species at the
branch and the node can be e:s.pressed 1n tlue same manner as the energy
equations.
Gk(~i)x+~x -Gk{(Wi)Xi dt + (ωi)XHl tS;t
4 Sbi P会ー ー
τ1可百Z五ZMi-吋)+ Dai!
nH 内* Y + {(ωi)n - (位。}一寸"
1¥
(3.26)
JAEKI-M 92- m
(ui)x. HGk &p - Ef ( ( B I ) ^ ^ G k 5£} - 0 (3.27)
In the above equations of Eqs.(3.21) to (3-27), unknown values a»c in the following: (a) Mass flow rate of gas mixture in Che k ch branch ; Gfc (b) Outlet temperature of gas mixture in the k th branch » Tt» k (c) Outlet mass fraction of each gas species in the t th branch ; UQ (d) Temperature of gas mixture at the i th node ; TJJ j (e) Mass fraction of each gas species at the i th node ; UJJ j
Three simultaneous linear equations for the mass flow rate, temperature and mass fraction are obtained from Eqs.(3.2J) Co (3.27) by assuming that factors like A^ in EG,. (3.22) are tentatively constant, alchough those factors are functions of the flow rate, temperature or mass fraction. First, the flow rate is solved by an iteration procedure, then the temperature of the gas mixture and the mass fraction of each gas species are solved. Figure 5 shows the flow chart of the code. The calculation at the certain time step is repeated until Che converging conditions are satisfied, then it goes ahead to the next time step.
The present computer program is shown in Appendix.
3.A Correlations of Heat and Mass Transfers and Pressure Loss
Friction factor, heat transfer and mass transfer coefficients are given by the following .uations 1* :
x2 fapp(*2> ~ XJ fapp(xI> x ! x 2 X2 - Xj
4(x 2 - Xj) p u 2 Ap = ^ f X l_ X 2 -y- (3.29)
, , , D 3.44 , 1.25/(4x+) + 16 - 3 . W x * ,., -„* fann(x)Re = . + (3-30)
P P <x^ 1 + 2.1 x l0-"(x+)-2
APo-x = "J fappW 5! - (3.31)
9
.M屯ERI-M9tl-Jω
{い'i)lt1r(Gk占p-rH吋 )X+&tkGk 5ki '"'。 (3.27')
ln the above eq田ationsof Eqs.(3.21) to (3.27). unknown values aムよ 10 the
foUow1ng:
(a) ~æss flow rate of gas mixture 10 the k th eranch Gk
(b) Outlet temperature of gas mixture 10 the k th brancb Tu.k
(c) Outlet mass fract10n of each gas spec1es in the k tb branch ム!O.k
(d) Temperature of gas mixture at the i t:h n odeτNi.1
(e) ~bss fraction of each gas species at the i th node 山N.i
Three simultaneous linear equations for the mass flow rate. tempera-
ture and mass fraction are obtained frcm Eqs.(3.21) to (3.27) by ass~1ng
that factors like Ak 10 Eq.(3.22) are tentati、;elyconstant. although
those factors ar.e functions of the flo留 rate.temperature or mass frac-
t10n. First. the flov rate 1s solved by an iteration prccedure. then the
temperature of the gas m1ltture and the mass fract10n of each gas speci~s
are solved. Figure 5 snows the flov chart of the code.τhe calculation
at the certain time step is repeated unt11 the converg1ng cond1tions are
satisfied, then 1t goes ahead to the next time step.
The present computer program 1s shown 1n Appendilt.
3.4 Correlations of Heat and ~包ss Transfers and Pressure Loss
Fr1ction factor. heat transfer and mass transfer coefficients are
given hy the following .¥lations("):
f x2 fapp(X2) -lt] fapp(X])
XI-X2 X2・ Xl
4(lt2 - Xl) ~ pu2 tJ.p ニー一一ーτ一ーー'-f~__~_ .<:.ー』d ~xl-x2 2
3.44 し25/(4li勺+16 -3.44/.c寄f"nn(x)Re 一一一+app'~'''~ C+ 1 + 2.1 x 10-10的 -2
1... _..2 il.Po-x王す fapp(x)!:.テ
9
(3.28)
(3.29)
(3.30)
(3.31)
JLAEKI- M 9^ iS&
x 2 £ . T B _ X 2 *£t_ X 2 S u ( j _ X 2 - X£aT!j_ X l » f } ~ X ; N u 3 _ X l
d ( x 2 - xi)&TrX)-"x^
1
X
^** - d
x Re S c j
A ^ ! - X 2 ^ _ " b x i
"V - a T> X 2
(3.32)
.\'u0_v = 1.615(s*> 3 - 0.7, x* * 0.005 ] _i
1.615(x*) 3 - 0.2, 0.005 < x* < 0.03 f (3.33)
3.657 + 0 . 0 4 9 9 ( x * ) - - ' , x ^ 0 . 0 3 I
I>X7 "" foxu
T » " T t>x 2
x 2 £ o - x 2
& M , 0 - X 2 ~ X I S '0-Xi ^ ( t - X i S X 1 " S 2 = ( x 2 - x l ) & . X l _ X 2
( 3 ' 3 6 )
_ i S h 0 _ x = 1 .6 l5 (x**) 3 - 0 . 7 , x** 5 0 .005 ,
-I 1.615(x**) 3 - 0 . 2 , 0 .005 < x** < 0 . 0 3 > ( 3 . 3 7 )
3 .657 + 0 . 0 4 9 9 ( x * ) - 1 , x a 0 . 0 3 j
(3.38)
( 3 . 3 9 )
£ x _ X in Eq.(3.28) is a friction factor for a developing laminar flow through a circular tube. Pressure loss coefficients are shown in Table 1. a x.. x in Eq.(3.32) is a heat transfer coefficient for a thermally developing laminar flow. £X]-x? i" Eq.(3.36) is obtained from Eq.(3.32) on the assumption of analogy between heat and mass transfer. When we solve the algebraic equation, these factor and coefficients are implicitly dealt as constant values. These factor and coefficients are influenced by chemical reactions and are expressed by using dimensionless parameter in the following'5^.
10
N5eil
ax xzιTGl-X2 l\.~_百2: ~lII cr-X2 -xtl!<'f'l-x. A号、玄 NUO:-X1=
n-Xz d(x2 -x1)ιτx]-XZ
JI.:¥F.Rl -:U gz
<3.32)
可111iu下fliJ
お金壬 01.(>05
l
.xUa_x ・615的 ;-OJ,
1.615(,,*) :5 - 0.2, 0.33) 0.005 < x* < 0.03
x ~ 0!.03 3.651 + O.0499(x*)-!.
(3.)4)
(3.35) li'bX2 -Tbx]
1lT~__~_ XI-X2 T.. -T ...
IIJIXn
ln -:;一一一一--T~ - T1!.. -"X2
B E2 S()-X2 l>吋 -X2-xl Sc-:'x. AωIID-x] X,-K? l-X2 (XZ -X]>品以)Xn-X2
(3.36)
1li曲、「!io--hJ
吟』mu -
nu 〈
会6am
x
〈
s
nuv nu • nw
足合会主 0.005
l
ShO-x ・山x**) :5 - 0・7,
1.6B5(x合会) 3 -0.2, (3.37)
x ~ 0.03 3.657 + 0.0499(x食}-l,
同
-l
x-d
一k-e -R
=
会晶表
x
(3.38)
(3.39)
日bX2-WoX1 l1wヌ=
l-X;Z 弘切 - Wbx • ...0 -ーーーーーーーーーーー
U切ー匝bX2
fX1-XL io Eq.(3.28) 15 a frict10n factor for a developing laminar flow
through a c1rcular tube. Pressure l05s coefficients are shown in Table
1. "X1-X2 1n Eq.(3.32) 1s a heat transfer coefficient for a thermal1y
developing laminar flow. 8X1申 xzin Eq.(3.36) is obtained from Eq.(3.32)
on the assumption of analogy between neat and mass transfer. ~~en we
solve the algebraic equation. these factor and coefficients are 1mpl1c-
itly dealt as constant values. These factor and coeffic1ents are 1n-
f1uenced by chemical reactions and are expressed by lIsing dimensionless
parameter 1n the following(5).
10
JAERI-M 92-160
f = Fl(Re, Xj/d, X 2/d, Da, Daw) (3.40)
a = F2(Re, Pr, Xi/d, X 2/d, Da, Daw) (i.4l) 6i= F3(Re, Sc t, Xj/d, X 2/d, Daj, Daw £) (3.42)
In the calculation, only the parameters of Re, Pr, Scj and (X 2 - Xj) are considered to check, the calculation method.
3.5 Rate of Chemical Reaction
In the present numerical analysis, the following chemical reactions are considered:
C + 0 2 * C0 2 + 3.934 * I0 5 (J/mole) (3.a) C + |o 2 * CO + 1.105 * 10 s (J/mole) (3.b) C + C0 2 * 2C0 - 1.725 * 10 5 (J/mole) (3.c) CO + io 2 + C02 + 5.660 * 105(J/mole) (3.d)
Here, the positive sign represents an exothermic chemical reaction and the negative one an endothermic chemical reaction. It is said that the total chemical reactions of Eqs-O.a) and (3.b) are the primary ones. The chemical reaction of £q.(3.c) is called "Boudouard reaction". These three chemical reactions are solid(graphice)/gas reactions. The gas/gas reaction of Eq.(3.d) is the carbon combustion reaction.
The reaction rates of the solid/gas chemical reactions are expressed as follows^6':
= m c ( D _^_£_IJL ( 3. A 3 )
M 0 2 2 + f J2 " "«- M^~ 2 + 2f
mc 0 = - m c ( 0 - ^ ^rj - 2 m c ( 2 ) - ^ (3.44)
MC 1 + f c MQ -mc(l)^£i^4^ + B r ( 2 ) ! ^ (3.45)
(1) , « „ , 142000.,, p vD.5, M "W02>Q.?5 /•>/«.> m c 1 1 ' = -2560 exp(- -—=-) ( *- -) (-— . . ' ) (3.46)
Rg TK 1.013 » 105 «0 2 °- 2 0 9 5
«C(2) = -44.5 exp(- - ^ ^ ) - w C 0 2 (3-47)
U
JAE則一11.192-nω
f Fl(Re. X1/d. X2/d. Da. Dav)
Q = f.2(Re. Pr. Xi/d. X2/d. Da. Dav)
51= f3(Re. SCi' X!/d. X2!d. Da1' Dav1)
(3.40)
0.41)
(3.4.2)
In the calculat10n. only the para睡etersof Re. Pr. SCi and (X2・Kl)are
cons1dered to check the calculatioD method.
3.5 Rate of Chemical ReactioD
In the present nu国ericalanalys1s. the folloving chemical react10ns
are considered:
C + 02 .. C02 + 3.934 x 105 (J/mole)
C+争2.. C印0+1し1.10白5xωω回 k
C + CO2 .. 2CO -1.725 x 105 (J!I包Itole)
Cω0+争2..印2+ 5.660 x
(3.a)
(3.b)
(3.<:)
(3.d)
Here. the pos1tive s1gn represents an exothermic chemical reaction and
the negative one an endothermic chemicaI reaction. It is said that the
total che回icalreactions of Eqs.(3.a) and (3.帥 arethe primary ones.
The chemical react量onof Eq.(3.c) 1s called "Roudouard reactiontl• These
three chemical reactions are solid{graphite)!gas reactions. The gas/gas
reaction of Eq.(3.d) 1s the carbon combustion reaction.
The reaction rates of the soUid/gas chemical reactions are expressed
as fOllows(6):
(1)竺z之土工町 2= mc'" MC .2 + .2f
(1)竺 _f__ ?__(2)生E町 o= -mC'" Me T+f -Lmc'-' Mc
(1)主主 -L-+HtoFK02mC02 -mC'" ~Ic -T+f T mC 百C
mc(l) ・2560叶枝川t・01よ叩5)O. 5(志議dh75
町 (2)=ーω.5叶守守〉匂ω2
11
(3.43)
0.44)
(3.45)
(3.46)
(3.47)
JAKKI M 82 10»
f = 800 exp(- |5^) (3.48)
Da w j = — = — -r- aj (3.49)
mc' 1' and np' 2' are the graphite corrosion rates in the iti-pore diffusion control regime. In the present numerical analysis, we deal with the mass transfer control regime and the in—pore diffusion control regime. Thus, we did not give the chemical reaction rates because the chemical reaction control regime lies in the temperature region lower than 400 to 500°C. f of Eq.(3.48) is the generation ratio of carbon monoxide mole fraction to carbon dioxide one.
The following reaction rates in the carbon monoxide combustion reaction are used.
RCO = - R + ( 3 . 5 0 )
R°2= - ° - 5 R *i ( 3 - 5 1 )
R c ° 2 = R 16? ( 3 > 5 2 )
R+ = k+ P ( ^ - ) 0 - 5 W 0 2 ° - 5 (3.53)
,+ , ,«=> , 199720. . . . . . k+ = 7 v 10' exp(- -J—=r-) (3.54) Kg I K
The generation heat due to carbon monoxide combustion is considered in the present code by the equation:
RC0~ 0 = 5.660 * 10 5 rp—- (3.55)
"C0 2
The graphite wall temperature is increased by the graphite/oxygen chemical reactions. The graphite wall temperature after this increase can be used as the input data of the code instead of providing the generation heat of the graphite chemical reactions to the code. Thus, the heat is assumed not to be generated by the graphite/oxygen chemical reactions in the code. The absorption heat due to the graphite/carbon-dioxide chemical reaction was ignored because this chemical reaction occurs scarcely under the present temperature conditions less than 1400°C.
12
6200 f 800 exp(--~.ー}
'K
Da.. 4 da; a町.1 可τE石田主
士、ERI :¥t !l".! ntill)
(3.48)
0.49)
国C(l)and rnC(2) are the graphite corrosion rates 1n thc 1n-pore diffus10n
control regime. 10 the present numerical analysis.首edeal with the mass
transfer control regime and the 1n-pore diffus:on control regime. 1hus.
we did not give the che回icalreaction rates because the chemical reaction
control regime lies 10 the temperature region lower than 400 to 5000C. f
of Eq.{3.48) 1s the generation ratio of carbon mono誌主demole fraction to
carbon dioxide one.
The following reaction rates in the carbon monoxide combustion re-
action are used.
RCO '" -R+
~'o., R0
2= ー0.5R~ ーーニ
}ICO
~'co今RCOo= R~ 一一二
~ICO
R+ = k+ρ( .. ~一) Il.:,出印喝0.5""2
4ι 。 199120、kT = 7 ~ 10~ exp{-一一一一ー}
Rg T,,'
(3.50)
(3.5])
(3.52)
(3.53)
(3.54)
The generation heat due to carbon monoxide combus!:1oo 1s considereu
in the present code by the equation:
RCO民
o 5.660 x 105 ..-ーニ"'C02
(3.55)
The graphite wal1 temperature is increased by the graphite/oxygen
che田icalreactions. The graphite wall temperature after this increase
can be used as the input data of the code instead of providing the
generation heat of the graphite chemical reactions to the code. Thus.
the heat is assumed not to be generated by the graphite/oxygen chemical
reactions 1n the code. The absorption heat due to the graphite/carbon-
dioxide chemical reaction was ignored because this chemical reaction
occurs scarcely under the present temperature conditions less than 14000C.
12
JAER1-M 92-160
Thermal properties of each gas species and gas mixture in Kef.(7) were used in the present calculation.
3.6 Average Value of Branch
The outlet temperature and outlet mass fraction of the branch would be obtained if the one-dimensional transient basic equation is analytically solved. The basic equation, however, can not be solved because of the non-linearity. Accordingly, the average value of the branch was assumed to be expressed by the inlet and the wall values of the branch as follows:
0 = 0 W + (6 X - 8U){1 - exp(-CT)} ~
r _ 4 Ku U J ~ t k Re Pr
— £ ui = "Wi "*• ("be* " <»w,-)tl " exp(-C uH jr-
A •*• * u w
4 Sh ±
C " = E k Re SCJ_
The above inlet and wall values used were obtained at one iterative step before. The inlet value of the branch is equal to the value at the node to which the inlet of the branch connects.
3.7 Initial and Boundary Conditions
When the primary pipe rupture takes place in the HTTR, the helium gas coolant of about 4 MPa spouts out of the RV to the RCV. After the balance of pressure between the RV and the RCV, the gas mixture of air and helium enters the RV from the RCV by molecular diffusion and by a special type of weak natural convection^8'. Then, the natural circulation starts suddenly throughout the reactor after the weak air ingress period continuing for a certain time. We deal with this natural circulation here. Therefore, the flow condition just before the natural circulation should be an initial condition for the calculation in the HTTR. On the other hand, when we carry out the experiments the test is started by opening the slide valves at the inlet and outlet as shown in Fig. 2. Before the opening, the natural circulation is occurring in only the three parallel channels. The condition of this local natural circu-
(3.56)
(3.57)
(3.58)
(3.59)
13 -
JAERl-!¥1 92-1ω
Ther田alproperties of each gas species and gas m1xture主n Ref.(7)
were used in the present calculatioo.
3.6 Avera邑eValue of Branch
The outlet te悶peratureaod outlet mass fraction of the braoch官。uld
be obtained if the one-dimensional transient basic equation is analyti-
cally solved. The basic equation. however. can not be solged because of
the non-lioearity. Accordingly. the average value of tbe brancb was
assumed to be expressed by the inlet and the wall values of the branch as
fol1ows:
ー一句
宮島,、.,,T
F』,E
、却e
'・aIE 、.,u
nu z
nu ,,、+
w
nu =
-nu (3.56)
-r
=r
u-N一e-Dn
tUT-
-K
Eg-
z T
F』 【3.57)
Wi 匂 i1- {WxiーWwi)O-e貯 ωえ4 Sh~
C.. 一一一一ーιーωEk Re SCi
(3.58)
(3.59)
The above inlet and wa11 values used were obtained at one iterative step
before. The in1et value of the branch is eq四alto the va1ue at the node
to which the inlet of the branch connects.
3.7 lnitia1 and Boundary Conditions
~~en the primary pipe rupture takes place in the HTTR. the helium
gas coolant of about 4 ~æa spouts out of the RV to the RCV. After the
balance of pressure between the RV and the RCV. the gas mixture of air
and helium enters the RV from the RCV by molecular diffusion and by a
special type of weak oatural convection(吋‘Then.the natural circula-
tion starts suddenly throughout the reactor after the weak air ingress
period continuing for a certain time. We deal首iththis oatural circu-
lation here. Therefore. the flow condition just before the natural
circulation should be an initial condition for the calculation io the
HTTR. On the other hand. wheo we carry out the experiment. the test is
started by opening the slide va1ves at the inlet aod outlet as shown in
Fig. 2. Before the opening. the natural circulation is occurring in only
the three parallel channels. Tbe conditiot)s of this local natural circu-
13
JAEK1 - M 92 - 1&D
lation is the initial condition in the calculation for the experimental apparatus. However, since the objective of tme present study is to develop the analytical method, we gave a simple initial condition to the calculation as follows: (1) Nitrogen gas is filled in the all branches. (2) All flow rates are equal to zero. (3) Temperatures of only graphite branches are equal to, for example,
1000°C, and other temperatures are room ones. (4) All pressures are equal to atmospheric ones.
The following conditions are given as boundary conditions; (1) Two end branches connect separately to two infinite regions of a gas
mixture of nitrogen and oxygen with atmospheric pressure and room temperature.
(2) Wall mass fractions of oxygen, carbon monoxide and carbon dioxide in the graphite branch are obtained by solving the following equations.
s h o 2 p ™02
" Re-Sc^ iZ°2 ' " V - -^1T0 ( 3' 6 0 )
shC0 P* mC0 Re" - S ^ (-CO - «w C 0> = ^ «.61)
b h C 0 2 P ""COz Re S c C 0 2
( W C C 2 " ""COz* = p ^ ° - 6 2 )
It should be noted that the right hand sides of Eqs.(3.60) to (3.62) include wall mass tract* ns as expressed in Eqs.(3.43) to (3.47). Therefore, first, Eq.(3.60) of the wall mass fraction of oxygen is solved by Newton-Rapson method, then Eq.(6.62) is solved, and last the mass fraction of carbon monoxide can be obtained.
14
J;¥ERI -:1.1 !Y.! -]副》
lation is the initial condition in the calculation fOT the experimental
apparatus. However. since the objective of the present study 1s to
develop the analytical method. ve gave a simple initial condit1on to the
calculation as follows:
(1) Xitrogen gas is filled in the al1 brancnes.
(2) All flow rates are equal to zero.
(3) Temperatures of only graphite branches are equal to. for example, 10000C, and other temperatures are room ones.
(4) All preSStlres are equal to atmospberic ones.
The following conditions are given as boundar] conditions;
(1) Two end branches connect separately to two infinite regions of a gas
mixture of nitrogen and oxygen witb a~ospher主c pressure and room
temperature.
(2) Wall mass fractions of oxygen. carbcn monoxide and carbon dioxide in
the graphite branch are obtained by solving the following equations.
町一川
。~
-吻V
一円(3.60)
ShCO p* mCO
-一一一一一 (..co-匂 ) =一一一Re ScCO '-LU -wCO' OOuO (3.61)
ShC02 P会 a ‘ mc02-Re S石O2ωCC2-WvC02} 00可 (3.62)
It should be noted that the right hand sides of Eqs.(3.60) to (3.62) in-
clude wall mass fractj.ns as expressed 1n Eqs.(3.43) to (3.47}. There-
fore, first, Eq.(3.60) Qf the wal1 mass fraction of oxygen 1s solved by
Newton-Rapson田ethod. then Eq.(6.6Z} is solved, and last the mass frac-
tion of carbon monoxide can be obtained.
14
JAERI-M 92-160
4. Result and Discussion
A steady state calculation was performed under the following conditions;
Graphite wall temperature : 1000°C Branch wall temperature : 20*C Gas temperature at inlet : 20°C Pressure at inlet and outlet : 1.01'* * 10 s Pa Oxygen mass fraction at inlet : 0.233 Nitrogen mass fraction at inlet : 0.767
The calculation results of Reynolds numbers in branches, temperatures at nodes, and mass fractions of oxygen, carbon monoxide and carbon dioxide at nodes are shown in Figs. 6-1 to 6-5. The Reynolds numbers in the branches with the same diameter and length differ from one another because of the difference of the bulk gas temperature. The flow rate at the outlet increased a little in comparison with the one at the inlet as shown in Fig. 6-1. This increase of the flow rate results from the gasification of the graphite due to the graphite/gas chemical reactions. The mass fraction of oxygen at the No.2 node (=0.207) is less than that at the No.l node of the inlet (=0.233) because the flow goes down in the cold branches of the No.14 to No.19. The mass fractions of carbon monoxide and carbon dioxide at the No.2 node are not equal to zero as well as the mass fraction of oxygen at the No.2 node as shown in Figs. 6-4 and 6-5.
A transient calculation was carried out under the same conditions as the above ones. Figures 7 to 10 show the calculation results of the flow rates at the No.5, No.17 and No.27 branches, the gas temperatures at the No.6 and No.18 nodes and the mass fractions of oxygen, carbon monoxide and carbon dioxide at the No.6 and the No.26 nodes, respectively. The abscissa of Figs. 7 to 10 is elapsed time. The time increment was 0.2 seconds in the calculation. It is found that the values calculated reach steady state after about 5 seconds. The results in the steady state calculation agreed with those of steady state in the transient calculation. In these figures the overshooting is observed at the initial stage shorter than few seconds of the elapsed time.
The calculation results will be compared with the corresponding experimental results to verify the method of the numerical analysis.
15 -
j:¥ERI -M 92 -]ω
4. Result and Discussion
A steady state calculation was performed under the fol10wing coodi-
tions;
Graphite町'a11temperature : 1000"C
Branch wall temperature 20=C
Gas temperature at inlet 20・cPressure at inlet and outlet 1.01、"105 Pa
Oxygen mass fraction at inlet 0.233
Nitrogen mass fraction at inlet 0.767
The calculation results of Reynolds numbers io branches. temperatures at
nodes, and mass fractions of oxygen. carbon monoxide and carbon dioxide
at nodes are shown in Figs. 6-1 to 6-5. The Reynolds nu曲 ersio the
branches with the same diameter and length differ from one another be-
cause of the difference of the bu1k gas temperature. Tbe flow rate at
the outlet increased a little in comparisoo with the one at the inlet as
shown in Fig. 6-1. This increase of the flow rate results from the gas-
ification of the graphite due to the graphite/gas chemical reactions.
The mass fraction of oxygen at the No.2 node (=0.207) is less than that
at the No.l node of the inlet (=0.233) because the flow goes down in the
cold branches of the No.14 to No.19. The四assfractions of carbon mon-
oxide and carbon dioxide at the No.2 node are not equal to zero as回ell
as the mass fraction of oxygen at the No.2 node as shown in Figs. 6-4 and
6-5.
A transient calculation was carried out under the same conditions as
the above ones. Figures 7 to 10 show the calculation results of the flow
rates at the No.5, No.17 and No.27 branches, the gas temperatures at the
No.6 and No.18 nodes and the mass fractions of oxygen. carbon monoxide
and carbon dioxide at the No.6 and the No.26 nodes, respectively. The
abscissa of Figs. 7 to 10 is elapsed time. The time increment冒'as0.2
seconds in the calculation. It is found that the values calculated reach
stιady state after about 5 seconds. The results in the steady state
calculation agreed with those of steady state in the transient calcula-
tion. ln these figures the overshooting is observed at the initial stage
shorter than few seconds of the elapsed time.
The calculation results will be compared with the corresponding
experimental results to verify the method of the numerical analysis.
15 -
JAKRI M 92 160
5. Concluding Remarks
The flow network computer code was developed to calculate heat, mass and momentum transfer in a natural circulation of a multicomponent gas mixture with graphite chemical reaction dee to air ingress. The entering flow rate, flow rates distributed to the parallel channels, generation volume of carbon monoxide and corrosion volume of the graphite were predicted by the present code. It was found that the numerical calculation method used in the code was basically effective for the analysis of heat, mass and momentum transfer in the gas mixture flow with solid(graphite)/ gas(oxygen or carbon dioxide) and gas/gas(carbon monoxide/oxygen) chemical reactions.
We have already carried out the experiments on the graphite corrosion at high temperature in the experimental apparatus as shown in Fig. 2. The results calculated by the code will be compared with those obtained in the experiment.
References
(1) S. Saito, T. Tanaka and Y. Sudo, Present Status of The High Temperature Engineering Test Reactor (HTTR), Nucl. Eng. Des., 132(1991), 85.
(2) Japan Atomic Energy Research Institute, Present Status of HTGR Research And Development, (1991).
(3) Japan Atomic Energy Research Institute, Present Status of HTGR Research And Development, (1989). (in Japanese)
(4) R.K. Shah and A.L. London, Laminar Flow Forced Convection in Ducts, Academic Press, New York-San Francisco-London (1978), 103.
(5) Y. Katto et al., Advances in Heat Transfer, Yokendou, Tokyo (1984), 183.
(6) M. Ogawa, Mass Transfer with Graphite Oxidation in A Gas Mixture Laminar Flow through A Circular Tube, J. Atomic Energy Soc. Japan, to be published.
(7) T. Takeda, B. Han and M. Ogawa, Thermal Properties of Multi-component Gas Mixture, JAERI-M 92-131 (1991).
(8) M. Hishida and T. Takeda, Study on Air Ingress during An Early Stage of A Primary-pipe Rupture Accident of A High-temperature Gas-cooled Reactor, Nucl. Eng. Des., 126 (1991), 175.
16
,I:¥ERI" ~I 92 -1ω
5. Concluding Remarks
The flow network computer code was developed to calculate heat. mass
and mo田entumtransfer in a natural circulation of a multicomponeot gas
mixture with graphite che由主calreactioo dじeto air ingress. The eotering
flow rate, flow rates distributed to the parallel channels. generation
volume of carbon monoxide and corrosion volume of the graphite were pre-
dicted by the present code. It田'asfound that the D'.lDlerical calculation
method used in the code 同'asbasically effective for the analysis of heat.
1i1ass and田omentumtransfer in the gas mixture flo官官ithsolid(graphite)!
gas(oxygen or carbon dioxide) and gas/gas(carbon monoxide/oxygen) chemi-
cal reactions.
We have already carried out the experiments on the graphite corro-
sion at high temperature in the experimental apparatus as shown io Fig.
2. The results calculated by the code wil1 be co国paredwitb those
obtained io the experiment.
References
(1) S. 5aito, T. Tanaka and Y. Sudo, Present Status of rne Higb Tempera-
ture Engineering Test Reactor (HTTR), 自国cl.Eng. Des.. 132(1991). 85.
(2) Japan Atomic Energy Research Institute, Present Status of HTGR Re-
search And Develop皿ent. (991).
(3) Japan Atomic Energy Research Institute, Present Status of HTGR Re-
search And Development. (1989). (in Japanese)
(4) R.K. Shah and A.L. London. Laminar Flow Forced Convection in Ducts.
Acade皿icPress. New York.San Francisco.London (1978). 103.
(5) Y. Katto et al.. Advances in Heat Transfer. Yokendou. Tokyo (1984).
183.
(6) M. Ogawa. t-lass Transfer with Graphite Oxidation in A Gas }Iixture
Laminar Flow through A Circular Tube. J. Atomic Energy Soc. Japan.
to be published.
(7) T. Takeda. B. Han and ~I. Ogawa. Thermal Properties of ~1ulti-component
Gas Hixture. JAERI-H 92-131 (1991).
(8) H. Hishida and T. Takeda, Study on Air Ingress during An Early Stage
of A Primary-pipe Rupture Accident of A High-temperature Gas-cooled
Reactor, Nucl. Eng. Des., 126 (1991). 175.
16
JAERI-M 92-160
Table 1 Dimensions of branches and Pressure loss coef f ic ients
Branch number
I Length (m) !
Diameter (m) 0 (deg) Pressure coefficient
1 2
i j 0.691 0.0549 0 1.5 1
2 0.7 0.0492 90 1.5 3 | 0.7025 0.0549 0 0 4 i 0.7025 0.0549 0 0 5 i 0.7 0.0549 o 0 6 1.085 0.0549 o 0 7 8
0.7 0.0492 90 1.5 7 8 0.7 0.0492 90 1.5 9 0.7025 0.0549 0 0 10 0.7025 0.0549 0 0 11 0.7 0.0549 0 0 12 1.085 0.0549 0 0 13 0.7 0.0492 90 1.5 14 0.7 0.0492 90 1.5 15 0.7975 , 0.0549 0 i 0 16 0.7975 0.0549 ! 0 ! 0 17 0.7975 0.0549 } 0 0 18 0.7975 0.0549 ° i 0 19 20 ] 21 1
0.7 0.0492 j 90 ,- 1.5 19 20 ] 21 1
0.246 0.35
0.0549 1 0 i 1.0 19 20 ] 21 1
0.246 0.35 0.0549 [ 90 ( 1.0
22 0.688 0.0549 180 0 23 ; 0.688 0.0549 ' 180 0 24 i 0.688 0.0549 | 180 0 25 | 0.688 i 0.0549 : 180 0 26 { 0.688 0.0549 180 ' 0 27 1 0.688 j 0.0549 180 ) 0
- 17
JAERI-M 92-1ω
Table 1 DimeDsions of branches and Pressure loss coefficients
Branch Length (m) Dielllleter (:11) e (deg) Pressure number coefficient
0.0549 。 1.5 一一一一
2 0.7 0.0492 90 1.5
3 0.71J25 0.0549 。 。4 0.7025 0.0549 o 。5 0.7 0.0549 。 。6 1.085 0.0549 。 。
ト一一一一一_L 0.7 0.0492 90 官t
1.5
8 0.7 0.0492 90 1.5
9 0.7025 E
0.0549 o o 10 0.7025 0.0549 。 。11 0.7 0.0549 。 。
t
12 1.085 0.0549 。 。13 0.7 . 0.0492 90 1.5
14 0.7 0.0492 T
90 1.5
15 0.7975 . 0.0549 。 。16 0.7975 0.0549 。 。17 0.7975 0.0549 。 。18 0.7975 0.0549 。 。19 0.7 0.0492 90 1.5
トー ι ーすー←一一一一ー一一一一一一←-ー
20 0.246 0.0549 ト ー 一 一 ← 一 一 一 o 1.0
21 0.35 0.0549 90 1.0 」ー ー一ーーー,ー一ー←-ーーーーーもーーーーーーーーーー一 一ーキ一一一守
22 0.688 0.0549 180 o 23 0.688 0.0549 180 。24 0.688 0.0549 180 o
0.0549 180 o 26 0.688 0.0549 180 。
t
27 0.688 0.0549 180 o
一17.
JAHKI M 92 160
n Rupture
> Containment vessel
Pressure vessel
Core ; Graphite block / Fuel cooling \ \ passage J
Inlet cooling passage
Annular pipe of primary cooling system
Coolant flow direction ——] Normal operation, — ; Accident )
Fig. 1 Cross-sect ional view of HTTR.
18
.D:¥EIU :¥1 92 160
1m l---I
.ンContainment vessel
-BE
,., •. M''
. -;.-Pressure . vessel
ジCore; Graphite block
:.":' ( ~削 C州ng ) possoge
一九1
( :州G川 flow di附 ion ¥
一一 Normaloperation I 一ー-. Accident I
Fig. 1 Cross-sectional view of HTTR.
lii
JAERI- M 92 160
Electric furnoce
Inlet Outlet TC: Thermocouple ( In mm)
Fig- 2 Experimental apparatus for heat, mass and momentum transfer in a natural convection with graphite chemical reactions.
19
Electric furnoce
JAERi-~f 92 -nω
( 巨「j 尋;基トs引li川d
「一てーーっ
Fig‘ 2 Experimental apparatus for heat. mass and momentum transfer in a natural convection with graphite chemical reactions.
19
JLVKKI \ 1 92 ltii>
=j=: branch 5 and 11 th branch : Graphite tubes ( I
Fig. 3 Correction of branches and nodes in flow network corresponding to flow channels of experimental apparatus
20
JL¥ERD ¥1 虫副団
Jf人
ψHAZ人ザ9HA
刈)
=
3
8
一
〆
9ド
vmAVHu⑤um55b
(24J1
一目f
リ
fJ的
.z
,
2
'
刀
a
f
F6AV15A7Aψ3ふ
広
氏①
7
M
G
Fig・3 Correction of branches and nodes in flow network corresponding to flow channels of experimental apparatus
20
M E K 1 - M 92- ISO
- ° I/) -*= O "O Q.
"O tD O i -C JO
• o o c
u c
•o O c
c c o
I I o o
c <
i r *
O X +
X
. a -£
X
X
21
J.:¥ERD -l1 9"1 -!bliJJ
〉〉
O一半
ZUZ句」
D
ω30E
co一一-ub」一一υ
む〉一主的
oa
-Z
。判MU由
EC
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iMC也吋色匡由民
q
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q
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zucc」且ミ
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21
4会一一ーー
〉く
„IEKI M se mil
C start J I
/ Input data /
I Initial and boundary
conditions
Thermal properties [ {PHOPERJ
Steadv state
t ML, = 11
Momentum transfer (HCt'BW)
l t S L | <™*«
( ) ; Subrou t ine name
Transient s t a te
KL = 2 i «MCKEOTJ
(TSffiRO
(GSSPECJ
1BNBOMJ
(PROPER))
| Mcroentum | transfer
1 Baergy I transfer
frtess transfer
1 Boundary
conditions 1
Thermal properties
Fig. 5 Flow diagram of computer progran. <20D
steady sta1t:e
[:m.
(r-U1B<1Tt
('rn‘IFRT')
(GASPEC)
f B.'¥.rrx:!D・1】
_¥区lii:i ¥1 拭:! CfulJI
Subroutine name
(p即田町
τ"ransient state
限.= :2
t限::t-IEN'li'>>
(m怨喰T} 11
t包括PEIC>>
(~mCIDn
担問:lPER)
〈三三〉Fig. 5 Flow diagram of computer prograrn.
??
JAERI-M 92-16®
1630
Fig. 6-1 Reynolds numbers of branches in steady state.
23
INLET
JlAERn-~f 鋭?- ni蹄
1970
(F].OW rate)
0.647
121()
130101
t1S0
1740
11M
1760
1810
1640
1880
1900
0.650 cz:::-c.:=-
OUTLET
Fig. 6-1 Reynolds numbers of branches 1n steady state.
23
JAEKI M 92-H6»
107.3
112.6
198.1 198.1 8 6 - 5 Qy
296.2 71.0 (22)
W) 23.8 59.9 fig)
25
y 25.1 51.1 6£)
26
n 26.8 44.3 (g)
39.9 (26)
Fig. 6-2 Temperatures at nodes in steady state.
24
.J!AFJ<I -:¥i 9告 -Ijj([l
107.3
198.1 86.5
296.2 71.0
23.8 59.9
25.11 51.1
44.3
1) 20・c
Fig. 6・2 Temperatures at nodes in steady state.
24
JAERf-M 92-160
0.177(19 0.177
<2Q)
22
0.176 0.177 P i )
23
0.176 0.177 (22)
24
10) 0.207 0.177 03)
25
0.207 0.177 ( J
26
0.207 0.177(25
27
0 .177 (g )
Fig. 6-3 Mass fractions of oxygen at nodes in steady s t a t e .
25
jAERl-M 92-1曜日白
0.177
0.176 0.177
0.176 0.171
0.201 0.177
0.207 0.171
1、0.233
Fig. 6-3 Mass fractions of oxygen at nodes 1n steady state.
25
JAEKI M !K lbl»
0.074 0.074 0.074 ®
22
0.074 0.074 C21J
23
0.074 0.074
10) 0.033 0.074
24
© 25
9 ) 0.033 0.074 Q^) V
26
0.033 0.074 65
27
0.074 @
6-4 Mass f rac t ions of carbon monoxide a t nodes in steadv s t a t e .
「
J~\F.Rn ~I !JI.! Iitit.
0.014
O.Il74 0.014
0.074 0.014
0.033 0.074
0.033 0.074
1 } 0.0
Fig・6-4 }lass fractions of carbon monoxide at nodes in steady state.
26
JAERI-M 92-16(1
0 . 0 1 9
10)0.0085 0.01963)
0085 Q.019QU
0.0085 0.019(a)
0 . 0 1 9 @
Fig . 6-5 Mass f r a c t i o n s of carbon d i o x i d e a t nodes in s teady s t a t e .
- 27
jAERI--""健一lω
0.019
0.0
Fig. 6-5 }~ss fractions of carbon dioxide at nodes in steady state.
27
f
JAEK1-M 92 160
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200 - s 18
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Fig. 8 Gas temperatures at the No.6 and No.18 nodes In the transient calculation.
600
Node No.
6
』〉阿初回
l宮
崎Nlzs
18
.'・・.....11........,...•••• ••••••.• •...••••• •.. ,............ t........ ,.... ., . . '
400
200
(υo)ωECHOω」ヨロ」ωaEωト
rg
O O 30 20
Time(s)
10
Gas temperatures at the No.6 and No.18 nodes 1n the trans1ent calculat1on. F1g. 8
0.3
c o o D !_ M— (0 to D
0.2 h
0.1
0 2
CO C02
I
0 10 20 T i m e ( s )
30
Fig. 9 Mass fractions at the No.6 node In the transient calculation.
02
CO ; C02i一一一
0.3
ERE-己紹l
四
mg
.. . . . . . . ・. ・..・・一・・・・・・.. . • . • .. .. . . . .• .. . . . I .. • .. • .. • • • ... • •• • • • • • .. • • • .. • .. • .・・・・・...•
0.2
0.1
copuOLι干のの02
ιd o
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一一一一一一一一一一一一一一一一一。30 20
Time(s) 10 O
Mass fractions at the No.6 node in the transient calculatlon. Fig. 9
0.3
c o o o (0 D
0.2
0.1 -
r\ • I I 1
U2 >
I I 1
CO •
I I 1
OU2 >
I I 1
. / •—
/ ''"S s
1 r I I , . I . I 1
10 20 T i m e ( s )
30
Fig. 10 Mass fraction at the No.26 node in the transient calculation.
0.3
02 ..・・.......... co
C02
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-. . . . .ー一・..............t.....................・・・・・・・・・・・・・・・・・・・・・ e・・・・・・・・・・・・・・・・・.
0.2
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Time(s) 10 。
Mass fraction at the No.26 node in the transient calculation. Fig. 10
JAERI-M 92-160
APPENDIX Computer Program
- 33 -
JAER(-M 92-)ω
APPENDIX Computer Program
。、uqd
JAERI-M 92-160
0RTRAN77 EX V12L10 DATE 92-05-21 TIKE 20:42:03
00000100 «.<,<»»«.»,..»..,.<».,.».,*»,,*<.»»*.*..».»,«,».»«..*»«».».-«»«.»«OC000300
»»*»»QOO0O4©G COMPUTER CODE FOR NUMERICAL ANA_YSIS OK KEAT, KftSS »*«»*0O00Q50O
AND MOMENTUM TRAf.SFES IK A KULTI-COKPONENT GAS »«.»«O000Q6Q0 MIXTURE WITH GRAPHITE CKEttlCAL REACTIONS »«»««a00007Q0
».»»«00000800 KARCK 27, 1952 »*»»«GQOOOS>00
•»«»«oooo:ooo « . < . , > » . » i < > i > » » » » » < » < » > < t « t . t , . » . > » > < » > . i i i . » » > > I > 0 O C O H O O ...,.<»*<.*.<*.»«*».*«.**«»»*»*»*..*<*.**•*.**«*******><*»*»**•»**0000120a
00001300 + •»• + • + + + -** + - + + + + + + + + •*• + +++++••- + •*• + + + + +••»>•»• + * + +-+•++++* ++++*- + +•* + + + • * + + + + •+ 00001400
+ 00001500 DEFINITION OF VARIABLES • 00001600
+ 00001700 • 00001SOO
N = THE K'JHBER OF NODES + 00001900 K = THE NUMBER 0? BRANCHES + 00002000 K = THE NUMBER a? GAS SPECIES ; HE=l,O2=2,CO=3,C02=4,N2=5 + 00002100 J = ITERATION TIKES * 00002200 DTI = INCREMENT OF TIKE STEP + 00002300 DT = INCREMENT OF TIME STEP + 00002400 TIME = ELAPSED TIKE OF CALCULATION + 00002500 Hi. = CONTROL CONSTANT FOR CALCULATIONS • 00002600
+ 00002700 H = LENGTH OF BRANCH • 00002800 D = HYDRAULIC DIAMETER - 00002900 Y = PRESSURE LOSS FACTOR + 00003000 F = FRICTION" FACTOR + 00003100 S H « ! = THE NL"-1 = ER CF THE NODE CONNECTING TO KTH BRANCH INLET + 00003200 NNC<K)= THE NUMBER CF THE NODE CONNECTING TO KTK BRANCH CUTLET + 00003300 CAT = VERTICALITY OF BRANCH + 00003400
* 00003500 TNI = TEMPERATURE OF GAS AT NODE (OLD) •» 00003600 TK2 = TEMPERATURE OF GAS AT NODE (NEW) + 00003700 TTN = TEMPERATURE CF GAS AT NODE + 00003800 TTNT = TEMPERATURE OF GAS AT NODE IN TIME ITERATION + 00003900 T01 = TEMPERATURE OF GAS AT BRANCH OUTLET (OLD) + 00004000 T02 = TEMPERATURE OF GAS AT BRANCH OUTLET (NEW) + 00004100 TTO = TEMPERATURE OF GAS AT BRANCH OUTLET + 00004200 TTOT = TEMPERATURE OF GAS AT BRANCH OUTLET IN TIKE ITERATION • 00004300 TA1 = AVERAGE TEMPERATURE OF GAS IN BRANCH (OLD) + 00004400 TA2 = AVERAGE TEMPERATURE OF GAS IN BRANCH (NEW) * 00004500 TWA = AVERAGE TEMPERATURE Or WALL + 00004600 TTA = AVERAGE TEMPERATURE OF GAS IN BRANCH * 00004700 TTAT = AVERAGE TEMPERATURE OF GAS IN BRANCH IN TIME ITERATION + 00004800
+ 00004900 PI = PRESSURE OF NODE (OLD) • 00005000 P2 = PRESSURE OF NODE (NEW) + 00005100 PP = PRESSURE OF NODE + 00005200 PPT = PRESSURE OF NODE IN TIME ITERATION + 00005300 PX1 = DIMENTIONLESS PRESSURE OF NODE (OLD) + 00005400 PXZ = DIMEiN'TIONLESS PRESSURE OF NODE (NEW) ^ 00005500 PA1 = AVERAGE PRESSURE OF BRANCH (OLD) + 00005600 FA2 = AVERAGE PRESSURE OF BRANCH (NEW) + 00005700
+ 00005800 UNI = CONCENTRATION CF GAS AT NODE (OLD) * C0005900 WN2 = CONCENTRATION OF GAS AT NODE (NEW) + 00006000
34
./:U:RI-~I 鋭?-It泌
FQRTRA~77 EX V~2L10 Oc.iE.昏2-0C-Zl TE~E 2D:42ご03
C 00000100 C.a.事寧怠.a..・..・...寄.......a.a:奪a....a玄.s....c..sa怠・...奪"奪怠怠".怠...意志..寧8・..0000020(1C.a:...草....................禽...・Z事...・..s....ss..a....客 s・8・2・..........老2・".OCOOQ3COC.-:a:...怠 軍.,.,,"00000.:.00
CCi':?U.E? ::00ミ FO岳民U~ER!CAL ~~A_YS!S O~占 H::'T , ~:.ss 怠亀倉 "00000500ιt、o~Cr-~=目 1 'i ~:τ完 :'~SF:~ I~ :. Ku~rE-ça田?O~E~T G:'S ."...OOOQ0600
!':lXTURE ば!TH E白Ai?HITE Cn~問 !C:.~ RE:'CTIO~S .".鴛・000007QO,oa・2怠 000008むD
~ARC !l 27, 1992 毒事・".00000900."竜彦.0000l()OO
(ass...
Cssc・..C'怠 S 事".csss... c..軍事怠怠c...事 S 怠
c...寧窓盆.......6...............事,事怠志&:I:.a..電宕怠..事皐怠...率.......怠....11....*...00001100
c....怠怠:a:...・・志.....&:・...:I:.**.a..・...a..・2怠.a..写書怠.."怠事怠怠".きa:aa.怠..怠..怠aa00001200
C 00001300 C φ++令キ+++++令 ++...+...++φ+ 守...令 ++++-+++++φ++++...........+++++-++..や..+令~..令4静 φ....・事令+++令.. 00001400
C 令 ーーーー『ーーーーーーーーー-ーーーーーーーーーーーーーーーーーー・・ + 00001500 C ーー DEFI~!T!Q~ OF VARIABL~S ー・・ φ 00001600
c ーーーーーーーーーー---ーーーーーーーーーーーー・--ーーーーーーー + 00001700 C + 00001600 C 今 N THE ~!U円 õER ()F t;ODES .. 00001900' C + M THE ~UMBER OF 5RANCH主S ... 00002000 C K THE NU円BER ~F E~S S?~CIES ; HE=1 , 02=2 , CO=3, C02=4~ 目 2=5 + 000'02100 C J !TERATIOIi TI!':E5 .. 00002200 C .. OT1 INCREMENT OF TIME 5TE? .. 00002300 C OT I~cRE ;O: ErH OF iIME SoEP ... 00002400 C 令T!円 EL:'PSED il円E QF CA~CUlAT!ON + 00002500
C ‘ NL CCt.τROl CONSiANT FOR CALCULAT!ONS + 00002600 C ... 00002700 C H L 三 f!: G7~ CF a?A~~CH ・ 00002800C D HYCRAULIC D!'MEτE担 ‘00002900c y P司ESSuPE LCSS FACTGR .. 00003000
+ FR:CTIC~ FACTOR .. 0?003100 ~~ t~ 1 (!{ ) -= 'れ~ N t! r'~5=H CFτHE NCDE CONNEtTING TO KTH BRANC!I !NLET .. 00003200
c + ~NC(K): ìH~ NU句、ISER CF THE NCOE CONNEÇT!~G .0 KTH BRANCH CUTLET + 00003300
C .. CA~ VERTICALITY OF B置ANCH + 00003400
ー00003500.. 00003600 .. 00003700
.. 00003800 + 00003900 ... 00004000 .. 00004100 + 00004200 .. 00004300 .. 00004400
ゐ 00004500
+ 00004600 φ00004700 .. OClOC4600 + 00004900 .. 00005000
+ 00005100 + 00005200 .. 00005:;00 + 000051.00 ~ 00005500 .. 00005600 .. 00005700 .. 00005800
守 00005牢00.. 00006000
-
ム
守
a-+
目4
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守
PLPLP白MFupaMPL
Tt-.:l T:円PERATURE GF G:'5 AT NODE C口lD)ï~2 T:~PERAïU~をさ口 (;AS Ai N口DE (~.!E~)
TiN iE何PERATURE CF GAS AT NOOE TTN1 TE~PERA1URE OF GAS AT NODE IN 11刊E ITERATIOtl 101 H~'PE 司AiURE O~ GhS ζT SRANCH OUTL~T (OLDl T02 TEMPERATURE OF GAS AT 8RANCH OUTLET CNEW) TTO TE 円 PEíiAT~rtE O~ GAS 且T BRANCH OUTLET iTOT 1EMPERATURE OF GAS Al BRANCH OUTLET IN TIME ITE買AT!ON1A1 AVERAGE TEM?E?ATURE OF GAS IN BRANCH (OLD) TAZ AV~RAGE TEM?ERATURE OF GAS lN BRAN::H (NEW)
TWA AVERAGE TE円PE百ιTURE OF WALl TTA AVERAGE TEMPERATURE OF GAS IN BRANCH TTAT AVERAGE TEMPERATURE OF GAS IN eRA~CH IN 11刊E ITERATIO~
ι+++++AT+
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+++z'
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PRESSURE OF NOOE (OLD) PRESSURE OF NODE (NE~)
PP PRESSURE OF NODE PPT PRESSURE OF NODE IN TIME ITERAT!CN ?X1 0 It-,5NTIO日LESS PRESSURE OF NOOE (OLO) PX2 OIMENTIONLESS ?RESSURE DF NODE (NEW) PAl AV~RAGE PR~SSURE 口 BRANCH (OLD) PA2 AVEP.AGE ?RESSURE C~ BRANCH (NE~)
Pl P2
++++
FLFhurh-r'u
++4v+
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WNl CDNCENiRAT!DN DF GAS AτNODE (OL.O) ¥oJN2 CONCENT百ATION DF GAS AT N口DE Ol E凶3
34
JAER1-M 92-160
FCRTRAN77 V12L10 DATE 9 2 - 0 9 - 2 1 TIME 2 0 : 4 2 : 0 3
C C c c c c c c r c c r
C c c
c c c c c c c c c c
UW>1 = CONCENTRATION OF GAS AT MODE + WWNT = CONCENTRATION OF GAS AT KOBE IB TIME ITERATION + uc: = cc.-cEf.-rsATiOK OF GAS AT SRA«CH OUTLET COLD) * '»02 = CONCENTRATION OF GAS AT eRANCK OUTLET CNEU5 * '*KC = CONCENTRATION CF GAS AT BRANCH OUTLET + WWCT = CONCENTRATION OF GAS AT BRANCH OUTLET IK TIME ITERATION • tf«: = AVERAGE CONCENTRATION OF GAS IN BRANCH tOLD) + KA2 = AVERAGE CONCENTRATION OF GAS IN BRANCH <KSV) • UAA = AVERAGE CONCENTRATION OF GAS IN BRANCH • tfAAT = AVERAGE CONCENTRATION Of GAS IN BRANCH"IN TIME ITERATION* k'WA = AVERAGE CONCENTRATION OF GAS AT UALL +
GA1 = AVERAGE MASS FLOW RATE IN BRANCH COLDJ + GA2 - AVERAGE MASS FLOW RATE IV BRANCH <NEt»> + GX1 = DIMENTIOHLESS AVERAGE MASS FLOtf RATE IN BRANCH CQLD> * GX2 = DIMENTIONLESS AVERAGE MASS FLOU RATE IN BRANCH {NEW} + GG = AVERAGE KASS FLOW RATE IK BRANCH • GGT = AVERAGE MASS FLOW RATE IN BRANCH IN TIME ITERATION + G". = KASS FLUX CF EACH GAS BIT GRAPHITE CHEMICAL REACTIONS • GM1 = KASS FLUX OF CARBON BY GRAPHITE CHEMICAL REACTIONS *
+ DI = DIFFUSION COEFFICIENT + CP = SPECIFIC HEAT OF GAS MIXTURE • CPtl = SPECIFIC KEA7 0? GAS MIXTURE AT NODE + CPO = SPECIFIC HEAT OF GAS MIXTURE AT BRANCH OUTLET * KU = VISCOSITY OF GAS MIXTURE • LAP. = THERMAL CONDUCTIVITY OF GAS MIXTURE + OEI = DEKSITY OF GAS MIXTURE AT KOBE + DEO = DE.'.'SITY OF GAS MIXTURE AT BRANCH OUTLET * SEA: = AVERAGE DENSITY 0? GAS MIXTURE IN BRANCH + SEAT = AVERAGE DENSITY Or GAS MIXTURE 1U BRANCH IN TIME *
ITERA~:O« *
RE - REYNOLDS NURSES C-R = GRASHOF NUMBER XU = NUSSELT NUMBER SC = SCHMIDT NUMBER SH = SHERWCOO NUK5ER
SAT s KASS TRANSFER COEFFI CIENT SI = PRODUCT MASS EY CHEMICAL RE ACTIONS Q = REACTION HEAT
C O = PRESSURE <=1.0E5 PA) C(2) I TEKPRERATURE < = 20 C3 CC3) = DENSITY <N2, 20 C, 0, .1 MPA) CfiJ = DENSITY CN2, 1000 Z, 0, .1 MPA) CCS) = VISCOSITY CN2, 20 C, 0. .1 MPA) CC6) = THERMAL CONDUCTIVITY CN2, 20 C, 0. .1 MPA; CC7) = SPECIFIC HEAT CN2y 20 C, 0. .1 MPA) CCS) = DIFFUSION FACTOR IS2.- 20 z. 0. .1 MPA) CC93 = DIFFUSION FACTOR <02, 20 c. 0. .1 MPA) CC10) - DIFFUSION FACTOR CCC, 20 c. 0. .1 MFA) c < : : > = DIFFUSION FACTOR CC02, 20 c. 0. .1 KPA) C C1 2 ) = DIFFUSION FACTOR CN2, 20 o 0. .1 MP A) CC13) = KINEMATIC VISCOSITYL CH2, 20 c. 0. .1 MPA) KCLW = MOLAR MASS OF GAS
*-+ + + + + -r-i- + »4- + * + -» • + •*- + +• *-•*"*••*••*•+•*• + - + + + -.
QQ0Q6IQ0 00006200 00006300 00006400 00006500 00006600 00006700 00006BCO 00006900 00007000 00007100 00007200 00007300 00007400 00007500 00007600 00007700 00007800 00007900 oooosooo 00008100 00008200 00008300 CO00S4O0 oooossoo 00003600 OO00S700 00008800 OOOOSSOO 00009000 00009100 00009200 00009500 00009400 00009500 00009600 C0009700 00009SO0 00009900 00010000 00010100 00010200 00010300 00010400 00010500 00010600 00010700 oooioeoo 00010900 00013000 00011100 C0011200 00011500 00011400 00011500 00011600 00011700 00011800 ouo:i90o 00012000
35
.lAERト ~1 9告-IW
U 1'tE 20 ご ~2:()3
1.'・W~ CC~CENtRAr!D~ OF &;"S ;..τ 問。~E ~ QOQQol00
'" '.: t~τ cm:CE~:;R ;,, "'r 世間 OF GAS ;..r ~OOE lU τE凹E ! τEII且i!OS • OOOOo200 WC! CC~CEnrR~iIa~ OF G~S 品 T S;UWCωIWTLEl W!:.!)) .. 00006300 ;,;02 C 口 ~t~~tH~TIC~ CF G~S ~τSRANCH OUTLET (~EW) .. 0000晶'-00
e 凶I.:~ CO~.C:.:IτRAT!O!I CF G;'S Aτ6R;'NC!I IltlTLET 令官0006500や 11>:::, CO~;C ξl'HRAτ:CN 日F GAS AT 6RAUC!I CtlTlET 1目 TU'IEτERAT!On .. 00006600 +“且 AVE'!A'>E CCroCEllHI且τIcn OF GAS !n 6RA~C腕 (OLO) .. OO~06?OO
令 wA2 AVERAGE CONCE~TRAiIO自由F G且5 HI 6R品目C!I {町EW) + 00006800 ,凶A~ ;,vERAGE CONCEHT白血TIIlN OF GAS IN 6RANt吋 守口1:'006900
WAAI 品V王RAGE CONCENTRATI0N DI GAS IH SRARCH-IN TI開E I1ERATIon. 00007000 +凶WA AVE~AGE CO~CENτRA官 !ON IlF GAS Aτ 凶ALL .. 00007100 ・ ..00007200
G且 AVERAGE 問ASS Fl!lfol RATE I田 6RANC!I (OlO) .. 00007300 GA2 AVERA6E MASS FUlr.l RATE !?l 6町AlICIi! (IlEtoU .. 00007ι00 G)(1 01 阿 EHT!ロ I:~ESS IWERAG=: 例且55 FtOr.l RATE !N BRANCH <CLD) .. 00007500 GX2 01 問E~τ!ONLES5 AIJERAGE 凹AS5 FlO!ol RATE r時 BRANCIi! (NEV) + 00007600
・ GG Il VE~品GE M且55 iLOIll RJHE ru SRAtlCH .. 00007700 GGT 且VEP.I:GE 問ASS FLOW RAτE Hl BR且NtH IN TIME !TER血TI01l .. 00007800 G~ MASS FLUX OF EACH GAS BY GRAPHITE CHEMItAl 毘EACτ!O~5 .. OOOO?900
・ C阿 MASS FLUX OF CAR601l 6r GRAPH! τE CHEM!CAl REACTZO阿5 争 00008000+ ~ 00008100
01 DIFFUS!ON C OEFF!CIENτ.. 00008200 ・ C? S?ECIFIC HE且τOF GAS 凹 tXTUR~ + OOO~8300 4争 c?rl S? ξCiFIC NEAr OF GAS MlxrURE AT HODE .. 00008400 φC ? O SFEC!F!C H=:Aτ0; GAS M!XTURE A1 6RANC!I o~rlEτ.. OOOOS500
MU V!SCOSITY OF GAS MIXτU~=: + 0~008600 L;;~ THE.担問A.L C口問。UCτ!VITY OF GAS M[XTURE + 00005700
.. OE1 OENS!TY OF GAS 問rxτ!)自主 AT 1l0DE .. 00008800 DEO OENSI7Y QF GAS MIXτIlRE AT 8RANC!! a.tJlτlEτ 守 00008宇00
・ ~E 兵 ~VERhG~ DE~S!TY O~ G~S M!XτURE r~ BRA~C!! .. 0000争000‘ ZミιT rWERAGξOE町S!7r OF GAS MIXTURE In BRANCH IN TI問E ... 00009100 宇 !TEP.五ー :orl 4 00;'09苫00
+ 00009三00R宣之 R~YNOLÐS NUMSE~ ... 00009'00 G司 GRASHOF NU~6E P. + 00009500
+ X~ NUSS~Lr 目tJMSER 〒 00009岳00
sc SCH~:IOõ NtJ!':6ER + 00009700 SH SHERWOOD NUMSER + 00009600
.. 00009900 + 9AT MASS TRANSFER こDE~FICIENT .. 00010000 ・ S! p百ODUCτ 凹ASS 6Y CHE~!CAL REACTIONS .. 00010100
Q RU.Cr:Or-.: HE"T .. 00010200 + ... O~010300
+ζ(~) ?RESS¥JRE (=1.0E5 "..., + 00010ι00 C(2】,EMPRERATURE (=20 c) .. 00('10500
C(3' OE~IS !T Y (112, 20 C, 0.1 MPA) ... 00010600 c(.:.: DEr:S1TY (112, 1000 C, 0.1 悦PA) + 00010700 C(5) VlSCOSITY (N2, 20 C, 0.1 MPA) .. 00010800 C(6) THER問AL CONOUCTIV!TY CN2, 20 C, 0.1 MPA: ... 00010900
+ C(7) SFEC!FIC HEAT CN2, 20 C, 0.1 阿P
35
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FQBTnaw77 EX V12LIQ BATE 92-09-21 TIRE ?0:4J:03
00000001 G00C0C02
IMPLICIT BEAIL.S «A-K,0-2J PARARETEB C «t-26» M=27» K-i, J=200 I
CC000007 cococcoe 20 O0OC0C09 C0000010 30
COOCOOll O0OCO012 ccoooou OOOOOOlt 00000015 00000016 000C0017 ooooooia 00000019 0' ;?ooo2o 00000021 00000022 00000023 00000024 00000025 00000026 00000027 C00C0028
emEKSiOK Hcm« oeiKi, rt«># F<RJ» ctrtm. Tlicnl» T!2(K), TOt«RJ» TQ2CMJ, TAltl*»» TA21RJ, THICK), TKJlejJ, TMCIU* TT«TC»M» GA1CHJ, GAZtRJ, GACM>» GSTCRJ, GRI«M>. RE(R»» 6R(R>, FRCR), SCCK#K># Srtttf.O. BCIt), B1«R»K»» CPtRJ, £PTCR># CPGIRJ. CPKfM>» OEICK)* OEOCK)* BEA11K5, BE«T{R», AVEROL f R J.» CC'31, P K U . P2(K>, PKHKJ, PK2«Hl# PAltRJ, PAJ-tRl, PPtKJ, PPTCMJ, PATIRJ, UJICH'O* UI2(H*K>, IC01CK»K>, U02tK*K)« UA1CR.IO, UA2(K#K>, KISHK. IO* WN2«K»IQ» tlAATtR#IO» MUACR.KJ,
SCHCK), ORGBIKJ, DRGUSKI^ AKOL<K*II* CCCISJ, TTKTKJ, TTCCHS> TTAIRJ, TTOTCWJ* TTMICMJ-VZ1.1K,Kl,UUK (H,Kt,KUGC!f;Kl.W3~ CH,IC: ,U'*\-IK.KlsGGl*} REAL'S NKICRl*NNOCn>,K[{(H>,UIKCH>,KUCK>»HaLWCK*l)
CBKHBN/SIZE/H,D,V*F,MKX#KKO*CAT,DT « /TERP/TI l»TI2«T0t*TC2«TAl»TA2«T«t ,TS2,TIMl»TTAlr » /PRES/Pl ,P2,P«i l ,PI«2,PAl ,PA2, ,PP,PPir ,P*T ' /CGNP/un'U!2rW01'V02'VAll*WA2vUCn>UN2»UAA'r,UH* « /F|.au/G<1'6AZ»6A*GCT#GH1 » /GUAL/l»;»CP.rCPT,CPa,CPII,RM#-LAR#BEI»BEC»»BE*l.BE*T « /RLWG/!»t!LM,AWEROL,C ' /REFE/BE,GR.PR,KE1»SC.SH«-Q
BA7A ARB1./4.003E-3* 3 2 . 0 0 0 E - 3 , 2 8 . 0 t O £ - 3 » 4 4 . 0 1 0 E - 3 » 28 .016E-S# 1 2 . Q 1 0 E - 3 /
• CC/1.©13E»S, 2 9 3 . 1 5 , 1 . 1 M 0 < 3 .8320E-2 . . 1 . 8 4 9 7 E - S . 2 5 . 7 E - 3 * • 1.006E3, 6.S79E-S, 1.992E-5. i.9?3E-S» 1.S01E-S. • 1.974E-S- 1-S46572E-5/ DO 20 1=1,K*l KOLVCi) = AKOLtl! 00 30 1=1,IZ Ctl) = CCtU
INPUT BAT*
READSS,") REACCS.O READ(5,«> READC5,0 R£AD<5,«> READC5.«> 8EAD{5.«S READ(5<»> READ(S,«> REAO(S^>> REAEKS.*} READf5/-«> READ<5,»> BO 10 J."=l REABt5 r') CONTINUE DO 11 JJ=l READC5*»>
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00012100 ©0012200 00012102 00012400' 00012300 00012600 00012700 00012500 00012900 oaoucao 00013100 00013200 00013300 00013400 ©0013SQ6 00013600 00013700 00013800 00013900 00014000 00014100 00014200 coalesce 00014400 00014500 00014600 00014700 O0014800 00014900 0001SOOO 00015100 0001S200 0001S300 0001S400 0001SSOO COOtSdCO 0001S700 OC01SBOO OQ01S900 00016000 00016100 00016200 00016300 00016400 O00X6S0O 00016600 00016700 00016800 00016900 00017000 00017100 00017200 00017300 00017400 00017500 00017600 00017700 00017800 00017900 00018000
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c"τ;. ""0:'1ι.003E-3. 32.000e-3. l8.0tOE-3. "'.01也e-3.2!.016E-:i. 12.11111:-31
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DO 20 1=:,1(+: 健司~Ió C!> M~CLH! OC 30 !=t,:l CClJ CCU)
OC01'100 00C1'2QO 00014300 0001"00 0001'500 0001'600 1110014700 Q00141100 0001'9C10 0001500ロ1100:511:10 00015200 00015300 0001$400 00015500 000156(10 00015700 0;015&110 00015'>00 OC016000
000000:1 000C0012 000000.3 0000001ι 00000015 000000:6 000C0017 00000018
c.........・..・・・2・.. !阿~UJ '1t InIo.'!A .....-・・e・・・・・・・・・・・・・B・.........・・・z・・・・ 00016100 000t62011
RE.AOCS,・) ":'HモE. 9τ!. NL 00016300 RE~C(S ,・) c.N:~!(Z.), I=:,~・3) 由00164110R E. ~O(S ,・} c!I/;HU.I=健-2,.伊 011016500
000。ロCl90'汗00020011000021 00000022 00000023 0000002' 白白00002500000026 10 000000;:7 COOCOOZ8
RE;'Oc5.・) (PlI'IOIU.I=l.恨・7) 000166011 IIE;'O C 5.・} (N"OCJ).]=M-6.~) 00016700 R:;'1)(5.・} (P1!!>.l;l.闘 000161100RE;'!H 5.・ CH(!),,i=1.,問-9) 00016900 REIo.O(S,.) (H(!),l=悦ー8...~唱 00() ll'000
RE;'0(5..) (O(!).:;l.R) 00017100 READ(5..) (C~T(I}.i=l.~) 00017200 RE~D(5 ,.) (Y(I) ,!=~,開 000t?300
READC5..) (iNl(I).!=l.削 00()17400REAO(5.・) CTWA(I.>...I==t,側 0001150000 10 J~=l.K 00017600 RE;'0(5.・) (WA1(!,JJ),1;1,開 00017700CONTINUE 00017&00 00 11 JJ;I,K 00017900 REAO(5.・) (l!噌l(I".JJ),!=!,制 0001&000
ー 36-
JAER1-M 92-160
F0STSCK7? EX M T E 92-09-21 TIKE 20:42:03
0OOOOC29
CQCC0030 00000031 CC0CC032 00000033 00C0C034 C0000035 00000036 CC0CC037 COOOG038 00000039 0C000040 00000041 C00OC042
0000004 3 00000044
12 c
6000 6100
KR:TEC6»6IQ0J TIME, D T I , KL i l3ITEt6 .6OB0» (KK! t I J , 1=1,M> unns(6.toao) c«i«t0ti>,t=i,H> U«ITE(6,6000> CPU • J,I = 1,K) WSI7Et6,i000> CHtt>»I=l,M> W B I T E C 6 . 6 © C O > £e»tI>,I=l,K> UB£7E{6»6©00» ICATtIJ,S=1»M> UR1TEJ6.6000) «<rtI),I=t,K) WBITE(6,3130> CI,T»UI»,I = l,IO waiTEC6,3135) c:,TiMC!>,I = I,H> 00 12 JJ=1,K WRIT£{6,31S0> JJr (!^U»:IJ<JJJ<I<1<» WRITE€6.3160) II,U«1CI,JJ).I*1,I«> f0RKA7UHO,IOC 1PE12. 5,l)l>,/,IX, 10CE12.S,IX J,/,tX.10«E12-5,1X>1 ?ORKATClrtO»30t"='>,- 1MPUT DAT* ",75t"= -l,/, • • TIME = ".F8.3," tSEC), t>T * 'pfT.i,' fSECJ", • St = "»I1, - f ML=1 ' STEAOT STATE, NL=2 ; '» • 'TRANSIEKT STATE. >" J
0000004S COC00046 00000047 00000048 00000049 OC000050 0C000051 00000052 OC000053 00000054 00000055 OO0COO56 000O0C57 03000058 OOC00059 OCOOC060 00000061 0CCO062 00000063 00000064 CCC0006S 00000066 00000067 00000068 00000069 0CC00C70 00000071 00000072 00000073 00000074 O0C0O075 00000076 00000077 00000078 00000079 00000080
IMIT1AL VALUES
DO 100 1 = 1,M P2tNNI(I>>=0.0 P2(NN0CI>>=0.0 GA2CI>=0.0 7A2<!>=0.0 T02C)=0.0 7C1C£>=THA<I) 7Alt:>=0.5»fTI>l(M«lIfI))*T01Cl)> PA1CI>=0.S«CPHNN!U> J»P1CNNCU)» PATC1)=PA1CI) GAKI>=0.!00 GGtI)=GAlCI) G G T O = G A H l > 7Toru = rcici> T 7 0 7 t I ) = T T G ( I ) T7AU> = T A H I } T 7 A 7 e n = 7 A l C I J C0r;T:r;L'E ?2(NXIC1>)=CC1J »o : i o i = i , » PPC:>=PI u> P P - U ; = P P < I > T K 2 O = 0 . 0 7 T N ( I > = T N 1 C I > TT(iTU>=TTN<I) CONTIMIE DO 1 2 0 1=1 ,K DO 120 JJ=1,X W02CI ,JJ>=0.0 UA2U»JJ>=0 .0 KWAU.JJ>=WAM!,JJ> U 0 1 ( I , J J > = U A l f I , J j ) UWO( I -JJ)=UA1(1 .JJ) U A A ( ! , J J ) = U A 1 ( I , J J > UWOT(l ,JJ>=UU0f I .JJJ UAATtl.JJ>=UAA(I.JJ)
00018100 0001S200 00018300 00018400 oootesoo 00018600 00018700 oooisaoo CQ018900 00019000 00019100 00019200 00019300 00019400 00019500 00019600 00019700 00019800 00019900 00020000 00020100 00020200
1.00020300 00020400 00020500 00020400 00020700 00020800 00020900 00021000 00021100 00021200 00021300 00021400 00021SCO 00021600 00021700 00021800 OOQ21900 00022000 00022100 00022200 00022300 00022400 O0O22SCO 00022600 00022700 00022800 00022900 00023000 00023100 00023200 00023300 00023400 00023500 00023600 00023700 00023800 00023900 00024000
- 37 -
.lAER1-M 92-]ω
FaR~"'~ 例区 77 EX ~n2l:0 ft~!N 1)>¥官e 92-09・21 n険 20:ι2:03
O(ユーロ0029:l (0陥.:即日t 00015100 00015200
COGEECZOE MR:τE{6,6l00)τZ開E,0τ1,齢L 00015300 OOOCOO~l W置HEC6d.OOII> I 崎町 !(n) , ~=l ,開 001115'0 11)CCOCC03Z w筒 !í~(6 , 60aO) ,館館II)II1,1=1,") 001l1e500 D号宮OC033 w~!rE(6, bOOO) 'PtC!) , n~l ,腿 001115600OOCQC034 w;竜 n E( 6.~00!l) (陣(t),!-=1.,開 110015701100000035 W~!rE(6.6000) IO(:) , I=~ ,") 00白15500OCC00036 WR!TE(6,6COO) (CAτII),!=l,") 000159011 ECOEC037MR:T Ef6,dbOBOBt v E I E,z=z,mBO B o z e a E O CCCOCD3a uRZ TE f6,3230》 zz,Tmzzz b,zsz,uBOB0292BO 00000039 WRITE(6.3135) (!, TW~{!) , I=t ,") 也世0192110
0110193110 00000040 00 12 JJ=!,K 00000041 WR!Tξε6,3150) JJ, (!, W~l(J ,~~), Jcl ,・c) 011019'骨Dcooocoι2 12 WR!~E(6 , 31eO) (!,VÂ1(I , ~J) , ltl ,開 00019500
000196110
C9000043E6000 FOB"dZ7Z ZMo,zoz zP王12・5,lX),I,lX,1DCE12・5,lX),I,lX,10(Et2・5.1X)) 00019700 00000044 6;00 rC~陀品ï(l l!'l(ll, JO(.; ・).・ 1則PUT 010τa ・.7S(・E ・),1, 00019500
H悶・...r:!.3...・15EC>, t)τ ,.・,F7.l,' c5EC)・ 1110019900..ι=・.ll.• 制Ii.=] S官UOYStAτE, N"L=2 ・ 111002011100
.T R:A~:S!E~τ5UTE. )・ 00020100。0020200i…………… HHT肌 VAt.UE5………...・B・......a・........・.........COOZ0300
00020400 E
011102051110 00000045 00000046 0000'0047 0000004S C号O~CC49
CCOC0050 OOOOC白51OOOC0052 OCOCCOS3 OOOQ0054 00000055 00000056 OOOOCC57 o~cooa58 00COC05ヲ0000C060 0::'00006: OCC<'つ口62 100 OOCO。白6300000064 CCCCC065 00000066 00000067 OC000068 00000069 oocoooアo 110 白000007100000072 00000073 000口007ι00000075 00000076 0口00007700000078 COOCOOア9coocooao
00 100 1=1.阿PZCNN!(!))=O.O 00020600 PZ(N"O(I))=口.0 00020700 。00205006昆2(1)=0.0
00020900 1I.eC!)=O.O 00021000 τ02 C!) =0.0 0002UOO τCl(!)::::TW~(Z)
1"1(!)=0.5・(TNZCNN!(!)).r01C!)) 00021200 PI'.竺(!l=0.5・(P!(阿!I!Cl>1守 PlC!lNO(l))) 0002!3ClO P~;(!)=Þ..~(I) 00021'ClO GAIC!)=0.100 00021500 GGC!)=Gf..!ιIl 0。白書1600GG.(!)=G~:(l) 0002t700 .TO(I)=T01(1) 0002!目00TTOT(!):.iτ0(1) 00021900 Tr~(;)=TA1(II 00022ロ00Tr~T(!}=;~l{l) 0口022100CO~.!"~E 00021200 PZ("S!(l))=C(l~ 00022300 00 :.0 1=1,n 00022400 PP(:I=P!C!1 00022500 PP.(!l=PP(I) 00022600 T~2C!)=O.O 0002270。ττ ,;(1) =τ~:(l) 00022a~O T1N!(!)=TTN(!) 00022900 CON.;NUE 00023000 D口 120 1=1,M 00023100 D日 120 JJ=1,K 00023200 ~OZ(I , JJ)=O.O 00023300 ~A2(I.JJ)=0.O 00023400 WWI'.(I.JJ)=WAIC!,JJ) 00023500 wO雪C!,JJl=WAl(!,JJ) 00023600 WWO(!,JJ)=WA1(1,JJ) 00023700 WAA(!TJJ)=WA1(I,JJ) 。白0238白OWWOT(l , JJ)=W~O(! , JJ) 00023900 WAAHl,JJ>=凶AA(!,JJ) 00024000
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280
COIOOIZS C0C0O-29 ccoc::30 CCCCC131 00003132 COCC01J3 00500134 0C0C0135 C00CC136 c:oso:37 00000138 290 CC000I39 C0CC0S40 0OCCO141 292 00000142
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DO 280 JJ=:,K UK 1 (I,.! J 5 =0 . 7«MUK s ! , J .'» »0- 3 » M K 2 f I, J Jl >
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1 DEA1C1IWCC3), OMGB, TUAC1I), PA2CI1), AVEKQLCtll, 2 OKGU, GKItll) > 00 298 iJ=l,K WWA(II,JJ) = onsucjj) 00 240 1=1,K if c i.Ee.s.oa.i.Es.ii J GO TO 2to DO 245 JJ=1,K UVAtI,JJ> = UA2(I,JJ) CONTINUE C'LL PROPER CONTINUE
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CALL PROPER
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42
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42
JAERI-M 92-160
F0RTRAN77 EX DATE 92-09-21 TIME 20:42:03
TO CALCULATE MASS FLOW RATE AND PRESSURE
SUSROUTIKE MOMENT C KK >
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IMPLICIT REAL'S <A-H,0-Z> PARAMETER IN=26, M=27, K=5, J=200. PI=3.141S92645, GRAV=9.807 ) DIMENSION HC«),DCK>,YCM;,FC«>.,TAJCH>,-GAl<N>,GA2eB>,PAlCK>,PA2{MJ.
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00000007 00000008 00000009 0CCCCC10 CCC00011 0CC00012 CCC0C013 30 00000014 CCCC?CC5 C0C0CC".6 OOC0OC17 C000CC18 C0C0C019 00000020 00CO0021 00000022 00000023 80
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DO 200 L = 1,J DO 30 I = 2,M AG(I) - 0.0 BG(1> = O.C DO 30 JJ=1,M*1 AAGU,-'J>=0.0 CONTINUE DO 80 1=1,M P x l ( K M l m ) = {PlCNNlCI)}-C<l))«DC!}>«2/C<3>/C<13>->2 IF(I.Ea.l) THEN PX1CNNICI>>=0.0 END IF IF(I.EO.M> THEN PX1(NN0CI>>=0.0 END IF PA 3 CI3 = CP5CNNI(I))*Pl(NN0CI>>>/2.0 CONTINUE
X S X * * Z * * S * I X K X X C COEFFICIENTS OF MATRIX •uitiittittiitutitittitiiiti
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- 43 -
lAERI -M 92-1ω
FORTRA~17 Ex V:2~!O DATE 92-09-21τI凹 E 20"2:03
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FC~T~AN77 E~ V:Zl!O l>ATE 92-09・21 TI附E 20:42:03
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01 DlFfUSI日" FACT口" IN MI~TURE GAS 阿2・2/S) 00075100 co SPEClF!C HEA7 OF M!XTUIIE ~AS (J/ItG.K) 00075200 I'I¥J 1I 1 '5 COS1τ~ CF 純ll¥τURE GAS (PA.S) 00075300 LAM TH:R例Al CロNDUCτIVITY 口F 悦!XTURE GAS (W/M.~) 00075400 OEA1 OENSITY OF MIXTURE GAS (I(GI院・ -3) 00075500
TE利PRETURE OF 阿 I~TURE GAS (K) 0007560口PP PRESSURE OF 阿IXTURE GAS !PA) 00ロ75700
00075800 I阿PLlC1τREAL-8 (A-H,O‘Z) 00075900 PARAMETER (N=26,阿=27,1(=5) 00076000 01刊ENS1口N H (阿),O(l"I), y(例), F C 阿), NNI(M) , N~O(M) , CP(阿). 00076100
W2(K) , W3(K).W4(K) , w5(K) , GA1(阿 ).GA2( 阿 ).W~l(N, K). 00076200 2 CPOT(M) , ~P P; εM) , CPTC円) .DEAT (H) , IWf円ou阿 ).WN2C~ , K) , 00076300 ・ W(K) , OI 問(~), DOI(K , K) , Pl{N) , ?ZCN) , PN2(N> , PP1(阿), PÞTC例), PAT(阿), 00076ι00 - A問U{6),AO(8), TDCK...K), 0円IKAVCIt.K),FIS(K,K). FIA(K,Kl,EA(K), 00076500 -RA(K),CCP(K), CPACK,", TMUCKJ, OM!KAνεκ). CPO(誕), WFlA(K). 00076600 .T!1C阿】, TI2(M),TOICM),T日2CM),TAICM),TA2(Ml.TN1(N),PN1CN), 00076700
・PA1C問),PA2l阿),W11(M.K),W12(M.K).W01(H.K).W02(M,K).WA1(M,Kl. 00076800 ・IoiA2(例,K), 01(円,K),l>El(H),DEO(H),DEA1(M),WAATC阿.K),WWA(M.Kl. 00076900 .CPA1(K),TN2(N),TWA(M). TTAT(M) 00077000 R=AL'8 lASCK). 附US(K). LA(It), HU(M), LAM(H), M口LW(K+1). HUM. OC077100 ・ NNI,NNQ, LAM凹 00077200CD阿何日N/TEMP/T!1,T12,τロ1,Tロ2,TA1,TA2...TN1,TN2,TWA, TTAT 00077300
./PRES/P1, P2, PN1, P~Z , PA1. PA2, PP1, PPT, PAT 00077400
・ ICOMP/~11 , WI2 , W01 ,1oi02 , WA1 , WA2 , WN1 , W~2 , WAAT , WWA 00077500 ・ IGUAL/DI , CP , CPT , CPOT , CPN ,悦U , LAM ,t) El , O 三日,1,) E~l ,Q. E A.τ OOCi7bOO ・J門cwG/MOLw,AVEKOL 00077700 '/FlD“IGA1,GA2 00C77畠00./SI2EJH , D , Y , F~NN1 , NNO 白0口 77900
OATA AO/1.06036, 0.15610. 0.19300, 0.47635, 1.03567, 1.52996. 1.76474, 3.894111 EA/l0.2Z, 106.7, 91.7, 195.2, 71.LI RA/2.551, 3.467, 3.690, ~.941. 3.7981 A刊U/1.16145,0.14874, 0.52487, 0.77320. 2.16178, 2.4378アf
DATA CPAl/4.9677, 6.713, 7.373, L.728, 7.4401 DATA CPA/4.9677, 0.817026, 0.929207, 0.618542, 0.93831<',
0.0, 3.B7124E-4, 3.43656E-4, 9.43157E-4, 2.95732E-4, 0.0, -1.L1476E-7, -1.00711E-7, -3.9229E・・7,-7.31507:-8,
ロ.0,1.99678E-11, 1.01493E-ll, 5.4'078:・11,5.81796:・121
00 1000 11=1,阿iA!.{ll) + 273.15
T2 TTAT{II) + 2ア3.15H T01<11> <・ 273.15
111 NNlCIIl II日 NNO{II)
IF ( GA2(IIl.LT.0.0 l THEN 111 NNO(!:) 1I0 NN1<I1)
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~.s _・a・・s・・・・・..・a R:.~ι'::=E ,""E Arτcr Et.:'" t 榊E~~~~ FRtl?ERτl:E.S .......‘・・‘ 011093100 QQ093Z0Q 1!001l3300 001193':'0由。Q09:!:511QOOOi36也Bccc雪3?COOQO宰350110001>3900 00091..000 000¥1'%00 00094Z00 ('0094300 OQ09'-'.00 ()OC9"~OQ
00Q9.:.t;QC 01109ι1QO 0009':'畠000009':'900 00095000 00095100 00095Z0Q O白。9S:!:OOOQ09~..O骨
CGCC:::~7
C :l: C:~:2e :z苛Ccococ:.z'? cooc:o:.so QOCOO:3; COOCC:32" C合OCC:~3
~"C':- C' :3'" !:'~OCC:;S
::OCJO二;6ccoロc:3.7 GCGC:;二三Ecc τO~. 雪写
CCCG~:ιc
ooccc:ι: coocc二ι2CCOOC:':'3
E 000'0014ι :000
,降
uCC=-母:4Eccccc:ゐ6
、-
00 1200 J'J'=:,.~ O'!C:Z.,J":l O;r-モιよ.!:i
C?(.:l c,." CPτ~:Il C~ft2
:~Jl';l 守 ξCPI"'4
C?~H:' 1:: C~ M:' S
~::.::.!::: ::::: ~Ul'叱
、 .:.~c: .t~ ~~叫円
~~:~C~{:!l ~VE附
M丘‘~! .・ F 内 E・e.... -~.."・::H.:"ヤ,.~ .. ..之 Q:.~.2
E三:(::: JE句Z:==, ~Z} C!"" ...
F , G..ZCH.‘τ.cr./l )
lJJ::r':! ~ ~E:1I宅4,=O{!!) OE"'> E.I'.O! ;
CCS , !~U三
..;.ι"'. ~"D
T崎 e"*
-50
JAERI-M 92-160
FCKTRAr.7? tx U12L1C DATs 92-09-21 TIME 20:42:01
C 0 0 0 1 5 5 0 0 C i i i i i m i i i i i • i i i t i i i i i i i M t i » > i t i > i a l i i i M i » » » i i < i > i i i < i » » i O I I O ! S ( C O C * I I » I » » . « . C 0 G 9 5 ? 0 Q C«.... TO SOLVE TERPESATURE OF KOBE AMIB b....!*CH OUTLET •••••Q009SB00 C«*.*» .....Q0095900
O C C S O C 0 1 S U B R O U T T K E T E R P R T I ( T ) 0 0 0 9 6 Q O O <:.•»•• » » . » . O Q O 9 6 I Q O
C 000*6500 C0CC0002 IMPLICIT REAL'S CA-H,0-Z> 00096400 C0CC0C03 PARAMETER !(."-24, »=!?, >C=5, J=200, PI=3.14159264 J 00096SOQ
C 00094400 03000004 DIRENSIOK Hl»l>,DtRJ,?CR> ,FCRJ,CAT tMJ, 00094700
• TIieK;,TI2{RJ,TCllMJ,T02«R>,TAXtRS,TA2tRJ,TKlC««J,T»«2lK»,T»:At«l, 00096600 •TTATtKJ, 00094900 • =HFO/P2tK>»PMl{"J>»Pl«2C"J),PAlt(«J.PA2C«J»PP«Be>»PPT«ltJ»P*Tt»tl, 00097000 »SA;eM),GA2CM),GAlH>,GGTtR>, 00097 tOO • 3i<K,KS,CP(RJ,0E:CM>,ESE0CRJ,(»EAHRJ» 00097200 sCPKeKJ«CPOCR>«CPTCH)<OECT(H]#HICn>>KOC>t>a' C0097J00 >REcH>,GBCK;,PRCR>,sccn,iD,SMCK,io,&<H>, 00097400 • AATC2»K-l,2.»SS,CSC2»R:,TAt2«»!-l>, 0O097SO0 »»•;! (M,1) .w;2(H,IC),U01tR,lO,Br02CM,K],UAlCn,IO,VA2(R,K}, 00097600 • WKlCr.vO,VK2Cn,K>*UAATeK,O,AVEK0L(K,',CC13>«- 00097700 • &T<X)«CT{N>'DDTCH),ETCH},STC?aM),BTCR>*-GX2CN),TKlCN»K> 00097800
OOC00005 SEAL'S KKi(K),KNOCK],HUCK>,LAK(K),MUCH),KGL,atCK*l> 00097900 C 00098000
0OC0C004 C0K*0N/SIZE/H,D,Y,F,»IK1,KNQ,CAT,[)T 0009S100 » /TEHP/TIl,T12,TQl,T02,i"Al,TAZ,TH'l,TI«2,T«tA.TTAT 0009S200 » /PRES/Pl,P2,P«il,PN2,PAl,PA2,PP,PPT,PA- 00098300 > /C0KP/un,an2,U01,«IO2,B(Al,.IA2,at>ll,.tN2,UAAT 00098400 » /FL0U/GA1,GA2,GA,GGT 00098S00 > /0UAL/D1,CP,CPT,CP0,CPK,KU.LA!«.,£»EI,DEB,8EA1,0EAT 0009S600 » /KLWG/»!CLW',AlfEKOL,C 0009S700 « /REFE/RE.GR,PR,KU,SC,SH,Ci 00098SO0
C 00098900 00000007 DO 200 L = 1»J 00099000 00000008 00 30 JJ=1,2«H-1 00099100 0CC00C09 DO 30 KJ=1,2»M 00099200 0CCC0010 AATC!J,KJ>=C.0 00099300 OOCCOC'". 30 CC'.'TIHL'E 00099400 C0OC0O12 DO :S0 I-1,K 00099S00 00000013 ATlli = 0.0 00099600 000000". i BT(I) = 0.0 00099700 00CC0015 C T C ) = 0.0 00099600 CC0C0016 DDT;l) = 0.0 00099900 00000017 ETC!) = 0.0 00100000 00OO0C1E IF <GA2c:>/DA8S<GA2tI>>.LT.O.0> THEN 00100100 00000019 .';: tI)=NN0(!3 00100200 C0CC0C20 !*OCI>=NNI CIJ 001003CO cooooot". END IF 00100400 COOCCS22 IF (GS2CI>/DABStGA2tI)).£E.0.0) TKE«J 00100500 00000023 KIC>=rjM(I) 00100600 CCC0002i NO!l)=NN0tI) 00100700 00000025 EKD IF 00100800 00000C26 ISO CONTINUE 00100900
C 00101000 C,.......... HEAT TRANSFER AKO OTHER COEFFICIENTS *«•»•«•,.«.,.,....,00101100 C 00101200
00000027 SO 350 1=1,M 00101300 0000002S PR(I>=WUCI)«CP<I)/LAKtI) 00101400
- 51
JAERI-[I.1健一 1ω
~~j:j:~~:'凡 77 EX IIt2r.:o !);.!邑 CZ-09-Z: T!ME 20:'1:03
OCC9550Cl
c.・s・2・s・・・&.......・・s・・・・・・・・・z・8・...・B・s・....,.・s・・・s・・・・・・・・・・・・・・・・・・0llC9S6011c.・・・s ・・・・・c:':lQ95?CCc.・8・・ Hl' 50UIE τE~~E~&!URE OF KOOE &仙CI 1>..・.~C悦 11111τlET ・・・・・Q009SIIIIOE・..・2 ・・・8・aa09S900
OCC~CCOl sue~allτz館E 官 E問~~! (~K) a0096QOO c..... ......Q00961QO'
C.a:...a.....・a・........・・...........・・・・・・・・・・・・..・・・・・・s・e・...・・・・・・・..aC096<!CO
coccooロ2OOCOCCOJ
cつCOCOOL
00C00005
OOC'JC006
00000007 OCCOCQ08
E
口CCOOC09OCCOOIJ:O oOCOOCt: 30 000COO:2 000000:3 CGOCCC:句
coccoo:s cccεOO~6
OCOOOO:7 COOOO~!B
000000:9 00000020 COOOCCZ: COOCC:)22 ccc号0023OC00002ι 00000025 00000026 150
E
00096300 :'~P:"'iC!τ~EAl.5 (11-倒.o-Z) 001190400 P;'i;lA,附:.TER (防~26. ":27. K:5. J=zao. PI=1.t4t5926~ ) 001196500
001196600 OHモEKSIOK 11(1唱),D(D'U,'((関)""r-u宅'.CAT(",. 00096700
a7!lCP'!::...τIZOU.τIlH 附l.τIlZ(開,.τ&1("1.τ42un.τ鯖10Dl.τII<zurn.τ,,;.ε111). IIQi!96500 .T!A':"UO, ・~'Z uo , PZC 't), P開H附1. 1'凶2un.PIIH純 l.PAZ(Ml.PP(~l.PPτf階)I,PA.Ttlltl,
.G~:'問), GII2( 阿) ...G;'("),6Gτ(T'!),
.Oi{開...1()...CPUU,OEiC問l,tlEIH開l.DEt.t(開l.
.cP問 (HJ.CPOC開),CP'r(阿l.ClEIIτ(KI.NI(Kl.NO(Ml.
.RE 0'10 ...GP. (院}.F>!H恨,.SCC内,1!t.)...S悦E陀,I(]I,由£開1.
.01. 11 τ (2.~-:' , Z・時), tS (2-例1.τ11(2・m・1).
.W'!l[M...~) .w;z(例,!IC),UOlιM,K),V02Ut,!(),凶1i.1C附,I(),ωA21附,Kl,
.W~l (r.I L()...厄~2n~ , K) , W;" r..τE例, 10 , ~VE開ilU例I.C(lll.
.~r<~) , cτ"宅 ).011τE開l.EτE開I.Sτ(2・純'.8τ(HI.GX2(開1.τXl(附..問E
REAl-e t首席iCr.!)... ~首位1/)C";,'flIß(舵),t.ltptuu ,~官W'MI.MClr.Il C !t+U
E口開問。N/S!ZE/H...D,Y,F,N健!,IIUfO,CAτ.DTITE 附PIT Il, τ12.τ01.τ02.τAl , r~2...τ~~1...τ凶 2 ,'!W'.i\, τTATIPRE~/P1.PZ.P防 1 , PN2 , P~1 , PA2 , F~, PFt, FAτ
ICO~P/Wll.W12.W01.W02.W~1.W~2.W~1.凶N2.IIAAτI , LOW/GA1 , GA2.G~.GGT J 白 U~L/OI.CP , CPT.c~a.cp~.悦lI, l"凹, OEI , OEO.OEA1.0E~τr陀LIlGI鰐ClII.AVEKOL.CIREFE/RE,GR,PR.SU,St,SH,Q
DO 200 L=l,J E口30 凶 J=l,Z*M・1E口3C I(J:1.2・問A~ T( JJ.KJ)=O.O
CC'.:7!UI!:: Dロ :50 !=!,伺
A.1"(!)白 .05~ C: l 0.0 CTC:l 0.0 O:>T~!) 0.0 Eτ(!) 0.0 !F CGA.eC!)/DA9S ξGA20)).lτ.0.0) THEN t;: (:)=~NO(~> N口 c!}=r~Nl (l> ;:N~ ! F
IF (G~2(1)/DII9S(GA2(:)).GE.O.O) THEN N!C:)=N限!(J)
~C(!)=NNOCl)
E~O 1F CQPi:T!NU:
C0096900 00097骨0000097too <10097200 00097300 00097400 00097$00 00097600 00097700 000971100 000979110 00095000 00095100 00095~00 00098300 00098400 00098500 000~a600 00095700 00098目。o00098900 00099000 0009910a 0009noo 0009'1300 00099400 00099500 00099600 00099700 00099600 00099900 00100000 00100100 00100200 00100300 00100400 00100500 00100600 001"0700 00100500 00100900 00101000
E・...・.......‘ HEAT TRA~SFER A~O ロTHER C白EFFICIENTS ・.........・8・2・・・・・00101100C 00101200
00000027 00 350 1=1,阿 00101300oooccoze PRC!)=例UCl).CPCl)/LAH(I) 00101400
51
JAEK1 M 92 16U
FCa7RAN77 EX : Z L : O 04*S fJ-CS- !«£ 20:42:03
cococos; c:cooc3j
c CCCCCC33 CCCCCCJi CDC00C3S C0000C36 CSCCOC37 OCCCCO 38
COCC0039 00000040 00000041 0CC0C04J 00000043 350
120
00000044 00000045 00C0CC-6
QCC00C47
C00C0048
C0000C49
00000050 100 C0CC0C5". cocaoes: 000000=3 00C00C54 CCCCCC55 C0OCOO56 CCCCCC57 O000O05S C0000C59 C0C0C06C 00000061 C0CSC06: CC000063 oo:;co64 0CCCC065 ecocco.;t 00000067 00000063 00000069
c 00000070 C0CCO071 00000072 390 00000073 00000074 00000075 C0000076 00000077 C00C0078
M I C ! = H T C < S E C : ? , pst:i, «;:i/3c:; > CT<:)=4.c»i,:tic;.'>^A"r(::>.t::j/!Jtij/ct:3j'C{3>'Ct7j £Tt:s = £Tt::«r::>««2.'ic?i/ici>/ct;s5«>-c;>/3JiJ»ec:i Gx2C)=GA2c:).0::j/Ct2)-CC:3>
:- t'K.EG.i; T C E B 0D7(I)=C7CI) ATt:>=CT(i)«CTi.;cI)-T4t t :))/C(2J - ETCIS
DCT(:)=c"tJ)»DiAici!/cc3:"C?c:)/cc7).H«:j»ot:;/DT/ct-3) £Tc:>=ET(iJ»SEATt:J/C{3>»CP7CI>/Ct7J.CTTATC:>-i73.1SJ/CtJJ«
• HiijiDc; /DT/ct:j; ATt:;=AT{'}.CT!IJ.fT«A<:3-273.:5:.'CC2; AT(:)-Ar(u-csTt:)«:7i;t:)»273.: s;/cc2i ATfI)=ATCI>»E"fI> EMS If Cor.TIKUE
IEN7S OF HA
D O loo ; = !,« si<:>=pwt .o»Di::"2«DASScGA2c>!»cs >«tcK:<:i).ce2) • = (GA2C5)'5A;5'.GA2C5.::.C-E.C03
• ;"t;:=!>:'*.c»::::«»2«3AE:c;s2C4:j«c?<!c«:cs:j«ccsJ :FlG;2;S3/DASS(GA2t5;:.LT.O.CJ
»S7C5)=P:/4.c«D(S>».2»3SSS<GA2t«)!»CPK(!«:C5:>«CC2> :FCGA2c:)/DAEScGA2c-:)>.Gf.o.o:
«S~Ci:>==:/4.0»a(113»»2»DA6SCGA2ClC>3«CPNCK!Cll>l«Cf21 IF (GA2c;i)/!>AESeGA2lll):.LT.O.O)
»S7(;;:=p:/4.o«Bc::;««2«BABscGA2ci2:;«cf,K(f.;ft:)}«cc2i CDNTIKUE DO 120 I=K-1,2»K S7 C ;=-P:/4.0«B :!-«)»• 2»DA=StGA2CI-».l).CFO(I-K)«CC2) C2K7!SL-E I F C G A 2 O / O A S S : G A 2 C I ) ) . L 7 . O . C ) 7KE>: AATll, -.)=•. .0 M U : / « ) = - ! . 0 EKO IF : = ( G A 2 C : ; / O A E E ( G A 2 C : > J . G E . O . O ) T H E K A A ; C , ; ) = I . O AATll,2.M!=1.0 END IF :=(GA2<X3/0A3SfGA2CK>>.GE.O.O: ThEN AATCN,*:-1.0 As-c:t,N.r!)=-:.c END :F I F ( G A 2 < K 3 / O A B S ( G A 2 C K 3 > . L 7 . 0 . 0 3 7 H E N AA71N,N>=1.0 A A T C J , 2 » K ; = I . O E N : :F
DO 390 1=1,2»M CS(I>=1.0 CON72NUE 00 400 1=2,14,6 IF(GA2<I)/DABSCGA2(i)).GE.0.0) CStI»«)=0.0 1F(GA2CI>/DA3SCGA2CI>>.L7.0.0) CS<I)=0.0 lF<GA2Cl)/DABS<GA2ti>).GE.O.O) CSC1>=0.0 IFCGA2(l)/DA3SCGA2tl>>.LT.0.0) CSCM*1>=0.0 AA7C2,2>=CS(l>«S7CI)*CS(2>»S7C2>*CS<8>«Src8)-»CS(14>»ST(14>
ooiotsoc 00101600 00101700 00101800 00101900 00102000 00102100 00102200 00102300 00102400 00102S00 00102400 00102700 00102800 00102900 00103000 00103100 00!032CO
.•00103300 00103400 00103500 00103600 0O1O37C0 00103800 00103900 00104000 00104100 00104200 00104300 00104400 00104SOO 00104600 00104 700 00101800 00104900 00105000 00105100 0010S200 00105300 00105400 00105500 00105600 001057GC 00105800 00105900 00106C0C 00106100 00106200 00106300 00106400 00106500 00106600 00106700 00106800 00106900 00107000 00107100 00107200 00107300 00107400
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s 吉 iCS)=Þ!1ι.c.rH5)a ・ z ・:J: :'E$CG'2Cð': ・ C?~(~!(5))'CCZ) 0010"000 !F(G"2(::'/OA=S'G~2'~:)).ë=.O.QZ 0010~lOO
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・ 57C こ :'=P:/4.0.C(l:}..2.0~6S(GK2(12l; ・ CP俗 C~I(!:)J.CC2J 00:0..400 00000050 :00 CON!!~uE 00104500
DO 120 1=阿 .1,2-陀 00104600CO:COC5~ Sj(!)=-~!/~.o.n~!- 隈 3 ・・ 2aOASS(G:"ZCI-同I1 ・ CFO(!-~)'CCZ) 00104100 DCOC0053 :20 [0 ・4τ!~じ 00104800
!FCG:"2(:)/O~aS{G~2(1)).l7_0.C) ~HE~ 00104900 A;.T【:.:)=:.0 00105000 A;'i(': ,~):・ :.0 001051目。E~O ! F 白0105200!;(G~2(:}/~~E$(G~2Cl}).GE.O.O) TME町 00105300A~;(: , :)=:.O 00105400 ~;.~{:, 2~~}=:.O 001055日OE~D l~ 00105600 : HG λ2 (向 )/~h3S{G~ZC P'! )}.~E.O.C~ 7 I-: E~~ 001白5701:A"':O": ,民 :=~.O 00105800 :..:.. ~ o,:,:\:・ ~)=-:.O 00105900 END :< 00106000 :F (~~20号 )/OAaS(GA2C~)).Li_O.O)γHE/ò 001日6100
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A A T C 2 , ! - N > = C S C ! - » K > » S T C 1 * M ) A A T C ? , M ) = C S £ K » l J « S T C J t » t J CONTINUE
DO 4 J 0 1 = 3 , 7 I F < G A 2 C I > / 0 A e S C G A 2 < I > > . £ . 7 . 0 . 0 . C R . G A 2 C I - l J / D * B S t G A 2 < ! - l J > .
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00 43C 2=13,17 ! F(GA2U + 1)/DABS <GA2< 1*1) >.LT.0.O.OR.GA2C!*2>/B«BSCGA2< 1*2}}.
•LT.0.03 THEN AAT(I,1>=ST(I*1> AAT<i,J+2»N)=ST{I+2+H> GO TO 430 END IF AATCI,I>=STU*2> AAT{I,I»1*N>=STU-H*K> CONTINUE
IF<GA2(7>/DABSCGA2C7)J.GE.0.0) CS(7)=0.0 IFCGA2C7>/DAeSCGA2C7>l.LT.0.0> CSC7*M)=C.O IF<GA2<13)/DA3SCGA2C13>).GE-0.0) CS{131=0.0 IFCGA2C13)/0ABStCA2(13 5).LT.0.0) CS(13+M>=0.0 IFCGA2C19)/0ABSCGA2{!9)>.GE.0.0> CS(19)=0.0 IFCGA2C19)/DABS(GA2<19)>.LT.0.0) CStl9*MJ=0.0 IF<GA2C20>/DA3S<GA2{20)>.GE.C.C) CS C20<-M>=0.0 IFCGA2C20)/DABS(GA2(2C)>.LT.0.0) CSC201=0.0 AAT<18-18>=CS<7>»STC7)+CSC13)«ST{13)+CSC19)»STC19)*CSC20>»ST(20> AATC18,7*N>=CS<7»M>»ST<7-fM) AATC18,13*N)=CSC13»H)«STJ13*H) AA7C18,19 + N)=CSC19-.H>»STtl9+K> AAT(18,20«-N)=CSC20*M)«STC20+M>
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•LT.0.0) T H E N AATCI,I)=ST(I+1> AAT(I,I»2*N>=STCI*2+H) GO TO 440 END IF AAT(I,I)=ST(If2) AATa,I»l*N)=ST{I*l+M>
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JAER1-M 92-160
E0arst K77 Cx DATE 92-09-2! TIME 20:42:03
.CI.0-I.0^EXP(-SS>J 0000C160 240 ccco::s: 200 c c««. c CC00C182 40 ooocc:ej 00000184 OOOOC285 60 00C001B6 00000187 00000188 000001S9 OOOC0190 C0000191 00000192 0OOOC193 00000194
65
CONTINUE Ca.\TJKUE
CONVERGES !:
DO 60 !=1,K TS2fi>=AST{I,2««J»Ct2> - 273.15 TNlt:>=TN2CI> CCSTIKUE BO 65 l=i/H T32(I>=6ATC*.'i,2.«)»£t2J - 273.15 TC:C> = T02fIJ SS = 4.0»LAHCI>»NUf l)«HCI>/BABStGA2CI>>/iKI>.»«2/ePCIl TA2a> = TW*CI)»fTJ«2CNICI>>-Tl/At!>)/SS«C1.0-1.0.EXPt-SS3J TA1CI)=TA2(I) CONTINUE RETURN END
00119S00 00119600 00119700 00119800 00119900 00120000 00120100 00120200 00120300 00120400 00120500 00120600 00120700 00120800 00120900 00121000 00121100 00121200 00121300
- 55 -
.J,¥ERl-~i 9畳一悶3
;:, oa'!õi"~77 E.足 V121l!CτE・II!PRT O"JE Ç~-C9・21 T!ME 20:42:03
.0.0・2‘o.exp(-ss))白0000160 240 CO~~l 民UEoc:;つ士:E: 2CD c.::l九i!!';UE
E
E CCOOC182 '0 ooooc:e3 00000184 0000C1L'S 60 OCC00186 00000187 00000leB 00000169 :;OOC01CO 00000191 00000192 65 00000193 00000:94
E ・ 8 ・ 2 ・ z ・・・ 8 ・a:....・・ CON\!'ERG~D ::~
00119500 00119600 00:197QO 001191100
00 6ロ!-!, N
T~2C I1 =A~τ(1 , 2-開"C(2) - 273.15 τr;:C!)=T/;~Cll
CC~T!NUE
00 6S 1:.1," ~02(!)="AT(l.~ , 2・飼》・ ((2> ・ 273.15 .O:C!)=TC2CIJ 55:ι.0・ LII問 CI>.NU(!).H(I>/DAB5(G~2(1))I~ε1'.. -・2/CPC!)T"2(Z)=TWACI)+C!B2IHZ(!>)・iWA(!))/SS・0.0・1.0・EXP(-SS>)TAlCll=Tf.Z<Il
s・...・...・・B・s・z・..・a....・8・・・・・・ 00119900 00120000 001Z0100 00120200 00120300 00120400 00120500 。0120600。0120700。白12080000120900 00121000 00121100 00121200 00121300
COr~T! p.: UE
REïURP~
ENO
FD F3
JAKKI M 92 160
EC5T5Ar.77 EX 3A7E 92-09-21 T'l« 20:42:03
TO SCXVE CCKCINTRATI3X Of r;00£ AND BRANCH OttTLE*
JL'SKOt'TIr.E SAEPEC ( KK }
00000002 00000003
0OCOOOO5 00C00006
00000007 00C00008 00000009 0C5C0010 oococoi: CC00CC-.2 COOC0C13 00000014 oooooo:s 00000016 00000017 coooccie COGO0C19 C0000020 0000002: 000CCC2J C0OC0O23 0C00CCJ4 C0COOC25 0C0C0C26 00000027 O0000C2S 00000029 00000030 00000031 00000032 00000033
IMPLICIT SEAL'S <A-H,0-Z> PARAMETER <N=26, K=27, K = 5, J=20C# RG=£.314, PI=3.141S92S54 >
OIKEKSIGM hCM5,PCK>,l'«*),F:M),CAT<.»), " T I 1 ( » > , T I 2 ( K ) , T C I C K ) # T O 2 ( K : , T A : < K ; , - A 2 ( K > , T ! . I ( N ! » T N 2 ( N > , T W A ( H > » »PI (N)^F2(N)»PN;(N),P':2(K),PA:(K),PA2C«>, »GAlt*),GA2;K>,GAt?:: ,CGT(K)»TTAT(H),PPtK!,PPT(N),PATC«J-WAATtn,K) •D : C K < < : , C P C K > , D E : : K > , S E C ( K > , O E A : [ K > , S E A T C H > ^ C P T C K ) » • UM<K,<),Wf;2;K^<),CS:2»"1)»QtK)»AVEKCLC»')«CPO(M)^CPMf«>, »RE(K),GSCK>»Pat«;),SCCH#K!,SHtK#K>,SI CK, O , WWA t(T#K) » • WIICK, <),l.:2<K,K>,;."Cl(K,K>,W02t»,i;},WAl{K,K:,WA2(R-IC>, »AW<H,K),BUC*,IO,Cki(K,!O,0WCM,>;). AAU{2»r1-l,2«K5,SWC2»M, K ) , • C<13:,BATCK,K).X'..-C*),GX2<K>.NICM>,MQCH>, »WX:(2«.*-I,IC)»WX2(2»M-I»K:,TA(<) SEAL'S KNI(>'>*KKO<K:*Kll(K>,LAKCK) ,NU<K) .KOLUtK*!) CCMMCN/SIZE/H,3,?,F,NNI,NKa,CAT,07
• /TEMP/TI1,712,701,TC2,TA1,TA2,TN1,T>J2,TWA,T7AT /PRES/Pl,P2,PKl,Ft:2,PAl,PA2,PP,PP7,PA7
. /C0MP/WI1,L.'I2,VC1,W02,UAI,WA2,WN1,IIN2,UAAT,WWA » /fL0W/GA1,GA2,GA,GGT, « /CUA'_/DI,CP,CPT,CPO,CPN>Mti,LAK,0EI,0EO,BEAI,OEA-- /KLUG/MOLW,AVE*0L,C » /SEFE/SE,C-a,PR,KU,SC.5H,a 00 200 L = 1,J 00 30 JJ=1,2»M-1 CO 30 KJ=1,2»«1 AAW( JJ#.<J)=C.O CONTINUE OC ISO 1 = 1,K :=CGA2CI>/DA=S(0A2CI)}.LT.C.0> ThEV i.'Jci;=«sD[:> NOC:J=KM (I) END IF IF (GA2(n/CABS<C-A2CI!3 .GE.C-.G) "t;K N: C:; = NN:ti) voc)=M«ic(i; EtiB 1 = DO 150 JJ=1,K A«'(1,JJ) = C O Brftl,J J) = 0 . 0 CW<:,JJ> = 0 . 0 D U C J J) = C O U'.2C:,JJ)=O.O W G 2 C , J j>=0.0 U K 2 ( N : C > , J J ) = O . O IF ( G A 2 ( 1 ) / B A B S ( G A 2 ( 1 > ) . G E . O . O ) T H E N WN1(1,1)=0.0 WN1<1,2)=0.233 UN1C1,3>=0.0 WN1 <1,4)=0.0
00121400 "•00121500 ••00121400 ••001227CO ••00121800
00121900 ••00122000 ••C012210C 00122200 00122300 C0122400 00122S00 00122600 00122700 00122300
• 00122900 0C123OOO 00123100 00123200 00123300 00123400 00123500 00123600 00123700 00123S00 00123900 00124000 C0124100 C0124200 00124300 00124400 00124500 00124600 00124700 00124800 00124900 00125C00 00125100 00125200 00125300 00125400 C0125500 CC1256C0 00125700 00125800 00125900 00126COO 00126100 00126200 00126300 001264C0 00126500 00126600 00126700 00126600 00126900 00127000 00127100 00127200 00127300
56
J:¥ERI ¥1 92 160
i'=G::l:7=i;'九ア., ~X \;:~~!.C !)'A.E 写2-09・21 T!陀E 20:42:0'3
0012140白
C ・・......・・・・・..・...・.........・・・e・・・・・・・・・.......・ g・・・・・・・・ 3・・z・2・・・a・・・・・・'00121500:....・ ・・・・.OOln600c・・..・ T口SCL \I~ CC.:C こ~;T il~τ:ON QF ~OO~ A~t 9RANC鈍 OU7lEr ・・・・001<'170。c..・ ・. . ・0012180。
00000001 ~U3~CUTl 出 G~SPEC { KK OO!219~O
c・...・ ・・・s・OOlL2000c..・e・...・...............・・・・ 8・s・..・......・・.....・・・・...・&・..・s・・・・・・・・・・0012210t'
OO!ZZZOO
00000002 n0000003
OOOOOOOL
00000005 00C00006
。000000700000005 000cocr9 ocçcc~:o
OOOOCO:: 30 0000CC:2 COOCCC'!3 oo=ooc:.:. 000000,5
OCOOOO:6 00000017 oooooc:e 00G00019 00000020 0000002: OOOCC022 000000<3 OOOOCC?4 COOOOC25
00000C26 00000027 00000C25 00000029 00000030 00000031 00000032 00000033
lMPL!ι1T ~E;L.B (~-H , O-Z) OO!2Z300 PA~AMEr~R (N:26,開:27,~=5 , J=2ロc,R:G-e...31ι, Pl~3.14!S9Zð5~ ) CO:22400
00122500 01何ENSIOH H(Mi,O' 円 ), yC~} , F'M} , C~;C月), 00122600
・ Tll(~) , T!2(M) , TC:( 牌),i'口 2tM} , T:'!(M~ , τ'='2 Oo,'!'rol un , τ~2(N) , τW~CM). 00122700 .P!(N) , F2'H) , ~N1'N} , P ・0,; 2 0..) ,P;': (円), ?~2(M} , 0012280。.GA1(~) , G~2:M) , G;'{~: , ~Gτ 《円), iTAT( 円), FP 屯院 l , PPT( 時),PhT (問i,WAATCM,K),00122900
・ O:(~ ,~~, tP(~) , D:::~) , ~EC(開), OE';lOO ,Jo EAT(伺), CPT(~) , 00123000 ・ W~l (:~, !O ,凶 ~;2(t; ,~), ts'Z..問),OOO , :'VëMCLC何;, CPOC何 1 , CPU(M) , 00123100 ・ ~EC 阿), GRC併) , P<<O司), SCt~,~), SH(~, K) , SI(M,~), WW~(~ , K)~ 00123200 ・W'!!(~I ・(),ぉ !2(~,"), .'Cl (/,年 ...K> ...WD.e C~,.:},.正"H 陀...r..!,t.:A2CP毛.IC:), 00123300 ・ AW(~...K) , BW( 町, K) , CWOぞ,!() ,;:J W(問,Kl .A~W(Z ・内-1 , 2a偶)~S~(2.~, K) , 00123400 ・ C("3l , BATC 偶,''0..)(';凶 (~)..GX2(~) , N!(M) , ~O定例" 00123500 ・凶 }(:'(2-~- 'l, K) ,\r X2【2・問-l,IC,i;. (!() Oa!Z3600
.HeAl..s ,..1'ti I'~)' お ~O(M) ,~ùC~) , LhM('宅), NU{M) , MOLWI~.1) 00:23700 CCM阿ON/SIZE/~ , O , y , F , NNl , N~O , CA1 , 07 00123800
ITEM?/ìl....τ12 , τ ロ 1 , 1 口 2 , T":.τA2 , T~! , TN2 , TWA , T~AT 00123900 IPRESIP1 , ?2...P 結~, P~2 , ?Al , ?~2..PP , P~τ , PAï 0012400。ICC~?I.!1 , ~I2 , ~Cl , W02 , WA1 , WA2..WN! , WN"WA~i,.匂A 00124100 IFLOW/GA1 , GA2 , G~ , GG1 , 00124200 IQuA~iDl , cp , cpr , cp口 ...CPN ,的U , LAM , DEI , OEO , OEAl , DEAi 00124300
IM~WGI符OLW ,,~VE娘。L , C 00124400
I~=;:=I 高 Ë...GR..p~ , nU , SC..SH , Q 0012ι500
00 200 L=l.J 00 30 JJ=-1..2-問
CO 30 KJ=!,2*句
;';'¥o.'<.;J,K,J)=C..O
C~N~lSU~
。ロ :50 :=1,'" :' (G~2 (1) I~Þ; き CGA2Cl)}.LT.C.Cl ;~~、
rJ! (:;=~SO~=) f40 C!) :.lI.: r~! (!)
<~D r' rF CG~2(!)!CA9S(GA2(!}).GE ‘ o.(n "''iE'P.:
民:(:} =NN! (1) 吋:OC:J=NNC(I;
E'~D l' DC ::'50 JJ=l,K A~' (j., J.!) C.O SJ(l,JJ) 巴.0cwcr ,J~) 0.0 DWC:,JJ) C.O
仏'‘ 2(:,: ;)=0.0 ~C2C: , JJ)=0.O I.a;2 【 ~n 【;>, J J) =0.0 lF (GA2(1)/DA9S(GA2C1)).GE.0.0) THEN WNlCl,l)=O.O WN1C1,2)=0.Z33 WN1C1,3l=0.0 WN1(1,4)=O..O
56
む0.246000012品700。012480。00:24900 00125COO 00125100
00125200 00125300 00.25、00CO,25500 (.01256CO 110125700 00125800 00125900
00126000 00126100 00126200 00126300 00126400 00126500 00lC6600 0012670白00126800 00126900 00.27000 00127100 00lC7200 00127300
JAERI-M 92-160
F0RTRAK77 EX V12L10 GSSPEC DATE 92-09-?: TIKE 20:42:03
0CC0C034 w«(;.5)=0.767 C0C0CC3S EKD IF C0000C36 := CGA2C!«}/DA3S(GA2Cf")) .LT.0.0) THEN CICCC037 k.':;;<N,i:=c.c C0CC0C38 wr;z (?l,c> = 0.Z55 C0CCCC3? u't.'t <K,3)=0.C coccc^^-c W M < N , 4 3 = 0 . 0 D^OOCO'.l UNI CN,53=0.767 00000042 END If 00 00 0043 »IlCI.JJ3=WNSfNKI3.JJ3 00DCC044 ISO CONTINUE
00000045 00000046 0000C047
0000004B 00000049 0CCC0C5O C0000051 C00CCC52 C0C000S3 00000054 OOOOOC55 00000056 00000057 00000058 00000059 C0000060 00000061 00000062 00000063 C0000064 C000006S 00000-66
OO0C0O67 00000068 00CC0C69 00000070 350
;.»..»« MASS TRANSFER COEFFICIENT AND GENERATION/DISAPPEARANCE TERM
00 350 1=1.H AKPLS = 7.0E + 9»EXP(-199720.0/RG/CTA2U3*273.1S)3 RPLS = AKPLS«DEA1!I>.(DEAICI)/M0LUC2J)»«0.5«WAJCI.3>
i «WA:CI.23»»O.5 s iu.i> = o.o SICI.2) = -0-5»RPLS S K I . 3 ) = -RPLS S K I . 4 ) = RPLS SKI,53 = 0.0 G(13=D(13»«2/CC(23«C(133^C[33.C<7)3»S.66OES»RPLS/M0LWC43 00 350 JJ=1.K SCCI.JJ)=MU(I)/DI(I.JJ>/DEA1(I) SHU.JJ3 = AMTC C RECI3. SCC1.JJ). HU3/DCI3 ) BATCI.JJ) = SH<I.JJ3*DK1.JJ3./DCI3 BWCI.JJ3 = 0.0 CWCI.JJ) = 0.0
IF ( I.E0.5.0R.I.E0.11 3 THEN BW(I.JJ>=4.0«SHCI,.JJ3»DK1.JJ3»HC13/D(1>/CC133 lF(KK.EO.l) C.CI.JJ)=BW<I.JJJ
ENDIF 1FCKK..EG.2) C . ' C I . J J 3 = 8 W < I . J J ) * H C I 3 « D < I ) / O T / C C 1 3 3 DWU.JJ3 = SI<:.JJ3«D<13«H<I3/CC33/C(133 IFOCK.EQ.23 DWC1.JJ3=DUCI.JJ3*H<I3»DtI3/DT/CC133.DEATCI3/CC3)
• •WAATU.JJ3 AV(1.JJ3=AWCI.JJ)*BU(I.JJ3»UWAU.JJS«DEAKI)/CC33 AW(I.JJ3=AU(I,JJ)-CWtI.JJ)»WAl(l.JJ)«DEAl(I>/CC3) AVCI,JJ)=AU(I,JJ)+D«(I.JJ) CONTINUE
00000071 O000O072 00000073 00000074
00000075
00000076
C0000077
00000078 110 C0OOC079 00000080 OOC00081
C C>i>iti)finitt>t COEFFICIENTS OF MATRIX itiititttiit*iti>tiiitittiiti C
DO 110 1=1.« DO 110 JJ=1.K SUCI.JJ>=PI/4.0«DCI3**2*DA3SCGA2CI33 IF(GA2<53/DA3SIGA2C5)3.GE.0.03
•SWC5.JJ>=PI/4.0»DC53»»2«DABSCGA2<4)3 lFi;A2<5)/0A3SCGA2(5)).LT.O.O3
»SUC5.JJ3=PI/4.0«D(5 3««2»DASSCGA2{6)3 IFCGA2<113/DA8S(GA2C11)3.GE.0.03
«SU(l:.JJ)=PK4.0»D<113«»2»DABS(GA2(1033 IF(GA2C11)/DABSCGA2(11)3.LT.0.03
*SW<11.JJ3=PI/4.0«D(113»»2«DASS(GA2C1233 CONTINUE DO 120 I=M+1.2»M DO 120 JJ=1.K SW(1,JJ)=-P1/4.0»0(I-M)«»2«DABS(GA2(I-K3)
00127400 00127500 00127600 00127700 00127800 00127900 00128000 00128100 00128200 00128300 00128400 00128500
sxs0012B600 00128700 00128800 00128900 00129000 00129100 00129200 00129300 00129400 00129500 00129600 00129700 00129800 00129900 00130000 00130100 00130200 00130300 00130400 00130500 00130600 00130700 00130800 00130900 00131000 00131100 00131200 00131300 00131400 00131500 00131600 00131700 00131800 00131900 00132000 00132100 00132200 00132300 00132400 00132500 00132600 00132700 0O132BO0 00132900 00133000 00133100 00133200 00133300
- 5 7 -
。CCCC03ι 凶民:(:,5);0.767 00127ι00 00127500
COCOCC3S ::r':D !F' ECEEZC50:zciAZW〉JDASS《EA2W》}.LT.0.03THEN 00127600 ~~:CC~37 泌氏:(広,二 )=0.0 00127700 O~CCCC3e W~!' 忠 , 2);0.233 00127800
00127900 CCO~SC3写!.':::<t.:... 3) =0 ‘c ':OCCC::ムC ~r・ :0':...ι )=0. ロ 00128000
00128100 ocoocoι 1oI"1C民,S)=C.76700128200
000000ゐ ENO H D D DC D 043bd 11fz,J J 》zMMZEN14 13,J J 3 0012B300 ooocooゐ4150CENTIMU E E012S400
00128500 ;……何山 TRAr~SFEKωEFFIC!E~T ANO GENERATl白川山間ARAM[ETERM ....00126600
00128700 c OE 35口 I=l,M 00128800
AKTl5 7.0E+9.EXPC・1997Z0.0/RG/CTA2C!)+273.t5)) 00128900 RPL5 AKPL5.0EA1C!).(DE~1(I)f例ロιWC2J)..0.5.WA1CI , 3) 00129000
_WAl(!,2)・・0.5 00129100 51【1,1) 0.0 00129200 51(1,2) -O.S-RPl宮 0012930051Cl,3) -RPLS 00129400 51(1.4) RPl5 00129500 5/(!,5) 0.0 00129600 G(!)=OC1)"2/CC(Z)・[(13)・C(3)・[(7)).5.660E5・RTLSI胴OL凶(4) 00129700 00 350 JJ=l,K 00129800 SCC!.JJ)=MUC1)/DIC1,JJ)/DEA1C!l 00129900 SH(!,JJ) A問TC C RE【1),St(I,JJ), H(!)/DC!l ) 00130000 BAγcr,JJ) SHC!,JJ>.DICl.JJlIOCJ) 00130100 8WC1,JJ) 0.0 0013020口CWCI,JJ) 0.0 00130300
IF C !.EG.5.0R.!.E由.11) THEN 00130ι00 BWCI,JJ)=L.O.SHCI,JJ).Ol(1,JJ)'H(1)/D(1)/CC13) 00130500 !FCKK.EQ.1l C‘,I,JJ)=9W(!,JJ> 00130600
ENO!F 00130700 lFCKK.EQ.2) C.'CI,JJl;BWC!.JJ)+HC!).O(!l/aT/CC13l 001308目。OW{!,JJ)=SlCl,JJ)・0(1)事 HC!l/C(3)ICC13) 00130900 !FCKK.EQ.2) DWCl , JJ)_D~<1 , JJ)+H<I)'DCI)/OT/C(13).DEAT(r)IC(3l 00131000
00131100 ・:aWAAT(l,JJ}AWCldJ)-A凶cr,JJ)+9W(I,JJ).WWACI,JJl.DEA1(!)/C(3) 00131200 AWCI , JJ)=AW(I , JJ)-CW(I , JJ) ・WAICl.JJl 窓口 E~1(ll/CC3l 00131300
cつCCCC69 AW(! , JJ)=AW(I , JJ'~ト DWC! , JJ) 00131400 Oô~QCC70 350 CONTINUE OC13150。
C
COOOOO'-5 000000'-6 000000< 7
00000048 00000049 JCCC~C50 0000e051 COOOCC52 C~COCOS3 OOCCCC5ゐ
00000055 00000056 00000057 00000058 00000059 COOCCC60 00000061 OCOCCC62 00000063 00000064 00000065 00000:66
OOCCC067 ~OOCC068
00000071 coco 勺cア2OOOCC073 OOOOCQ7L
00000075
00000076
00000077
000000ア8 110 OCO~CC79
0000C080 00C00081
JAERI-M 92-160
F 口 ~TR~~77 EX V12~10 G~SPEC O~TE 92-09-21 TIME 20:L~:03
c. ・ ~.~._*...s.*.. CO~FrICltNïS OF 開ATRIX...・...・*_..・..・2怠.1I.t*・・..傘a
E
00131600 00n1100 00131800 00131900 00132000 00132100 00132200 00132300 00132400 00132500 00132600 00132700 00132800 00132900 00133000 00133100 00133200 00133300
D口 110 I=l,M 00 ,10 JJ=l,K SW(ITJJl=?I/4.0'DC!)奪怠2.0A6S(GA2C!))IF(GA2C5J/DASSCG42CS}).GE.0.Ol
.SW(5 , JJ)~PIJ , .O.O(5)*a2sDAeS(GA2(ι))
1FtミA2CS)/OA6S(GA2CSJ).L..0.OJJl S~(S , JJ 】=Pl/ι.0.O(5)..2.0ASS<GA2{6))IF(GA2C21)/OA3S(GA2(11)).GE.O.O)
'SWC!:,JJ)=Pl/<.O.O(11)..2'OASSCGA2C10l) IFCGA2(11)/OAB5CGA2Cl1)).LT.0.0)
*S~(11 , JJ)=PI/4.0.D(11'.-2.DA6S(GAZ(12))
CONT1NUE DO 120 1=阿+1,2・MD口 120 JJ=l,K SW【1,JJ)=-Pl/4.0.0(!-例3・'Z.OABS(GA2(!-M))
。,EJ
O O O f l O o o o o o vf m o N eo M M K l f l l O Kt Ki K> l»i f l
O O © O O o a a a o
CO o o -
• t l/J o o o o o II • • II + ^ O O -s « K ii it ft - l + •> « *• -7 M H i > t ; s * / w u v »VJ i/iirt w w ^ O O U *j 3
H M O
• O M O O N
o o o o o o • II I) II ll II
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JAERI-M 92-160
F0RTSAK77 EX V12L10 GASPEC DATE 92-09-21 TIKE 20:42:03
CC0C0139 AAUCI, I)=SWCI»1»JJ> 00139400 0C00C140 AAWCI,I»N)=SWCI»M,J.;) 00139SOO C00CC141 425 CONTINUE 00139600 0CC0C142 DO 4J5 1=13.17 00139700 C0000143 IFCGA2CI-1)/DASSCGA2CI*1)).LT.0.0.0R.GA2C1+ 2J/DABSCCA2C1+2)!. 00139800
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c 00140700 ooooo'.s: IFCGA2C7)/0ABSCGA2C7)).GE.O.O) CSC7)=0.0 00140800 00000152 IF(GA2C7)/DABSCGA2C7J).LT.0.0) CS<7+K)=0.0 00140900 00000153 : F ( G A 2 ( 1 3 ) / D A B S C G A 2 C 1 3 ) ) . G E . 0 . 0 > CSI13)=0.0 00141000 00000154 IF(GA2U3)/DASSCGA2C13)>.L7.0.0> CS C13+K.)=0 .0 00141100 00000155 IF(GA2<19)/DABSCGA2(19)).Gc.0.0) CSC19)=0.0 00141200 OC000156 IF(GA2C19)/DABSCGA2C19)).LT.0.0) CSC19*M>=0. .0 00141300 00000157 IF(GA2C20)/DASSCGA2C20)).GE.O.O) CSC20+M)=0 .0 00141400 00000158 IFCGA2C20)/DABSCGA2C20)J.LT.O.O) CS(20)=0.0 00141500 C0C00159 AAU<18,18>=CSC7)»Sk!C7,JJ>+CSC13)»Swei3,J.I>*CSC19)»SWC19,JJ) 00141600
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C 00142200 00000164 DO 445 1=19,25 00142300 00000165 IFCGA2CI*1)/DA8SCGA2CI+1>).LT.0.0.0R.GA2CI+2)/DABSCGA2CI+2)>. 00142400
•LT.0.0) THEM 00142500 00000166 AAW<I,I)=SUCI*1,JJ) 00142600 00000167 AAWCl,l*2tN)=SW(I»2*M,JJ> 00142700 C0000168 GO TO 445 00142800 00000169 END IF 00142900 CC0C0170 AAWCI,2)=SWCI+2,JJ> 00143000 00000171 AAWCI/I*1+N)=SWCI+1+M,JJ) 00143100 00000172 445 CONTINUE 00143200 00000173 DO 455 1=1,M 00143300 OOOC0174 GX2CI)=GA2!I)»DC:>/CC3)/CU3) 00143400 C0000175 A A W £ I * N , I T N ) = G X 2 C I ) 00143500 0C0OC176 AS',.'CI*N,NICI) )=-GX2CI) 00143600 00000177 IFtGA2C5)/ABSCGA2C5)).GE.0.0) 00143700
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C 00144800 00000184 00 90 1=1,M-l 00144900 00000185 1FCDAB5CWA1(I,JJ)).GT.DABSCUA1<I+1,JJ))J 00145000
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I 000C0022 00000023 0CC0C02-0000002S 00000026 C0C00027 00000028 00000029 OOOC0030 00000031
( 000C0032 00000033 C0000034 00000035 00000036 0C000037
C 00000038 00000039
IMPLICIT REAL'S (A-H.O-Z) PARAMETER < RG=8.314, K = 5. E?S=1.0E-6. XI0=1.0E-2« XIHIN=1-0E-DIMENSIOV SHC3/. S C I O . 0MG3(O. OKGytlO. AM0LCK*1) COMMON /MLWG/AMOL
S H C ) = AMTC ( R E . S C t 2 > . XBVO ) SH<2> = AI1TC ( R E . S C C 3 ) . X8YD ) S H ( 3 ) * AMTC ( R E . S C C 4 ! , x'BTD i TWK = TW * 2 7 3 . 1 5 F = a 0 0 . 0 » E X P ( - 6 2 0 0 . 0 / T U K ) AN = C . 7 5
0 » E X P ( - 1 4 2 0 0 0 . 0 / R G / T W K ) » C P / 1 . 0 1 3 E 5 > « « 0 . 5 C . 2 0 9 5 / A M C L : 2 > ; » « A K E X P < - 1 6 2 7 1 0 . 0 / R G / T L ' ! O
RKC/SCC2) RHO/SCO) RH0/SC<4) )/AMOL<6)»0»D/RHOO/AMUO«(2.0»F)/C2.0+2.0«F>»Cl >/AMOLC6)«D»0/RHOC/AMUO«F/C1.0-»F>»Cl OtC3)/AMOLC6>«C2«D«D/RHO0/AMUO >/AK0L(6)/RHC0/AMUO«D«D/(l.O-»FJ»Ct )/AKaLC6)»C2«D«D/RH00/AMU0
XI = XIO DO 1 0 0 1 - 1 . 2 0
FNC = A 0 2 R « X I « » A N • A 0 2 L - X I - A 0 2 L - O M G 8 C 2 ) FKCO = A 0 2 R * A N » X I - « I A N - 1 . 0 > * A 0 2 L X I P 1 = X I - FNC/FNCO ERR = ABSt ( X I P 1 - X D / X I )
I F ( E R R . L T . E P S ) GO TO 2 0 0 I F ( X I P 1 . L T . 0 . C > X I P ! = X I M I N
XI = X I P 1 CONTINUE
CI - -2560. • (AM/
C2 s -44.5» A02L = • -3HC1)« ACQL = • -SHC2). AC02L
= • -SHC3>»
A02R = AM0LC2 AC0R1 = • -AM0H3
AC0R2 = • -2.0«AM
AC02R1 = • -AM0LC4
AC02P2 AM0L(4
0MGW<2) 0MGWC4) 0MGWC3) OMGW(l) 0MGU(5) GM1
RETURN END
XIP1 C-AC02R1«0MGWC2)««AN • AC02L»0MGBC4))/<AC02S2*AC02L) (AC0L^0MGB(3)-AC0R1»0MGW(2)««AN-AC0R2»0MGWC4))/ACQL OMGBil) 0MG3(5> -C1"0MGW<2)»»AN - C2»0MGU<4)
001S7J00 ••••00357400 ••»*00157500 .»..00157600 ....00157700
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3 ) 001S8400 00158500 001S8600 001S8700 00158800 001S8900 001S9O00 00159100 001S9200 00159300 00159400 00159500 00159600 00159700 001S9800 00159900 00160000 00160100 00160200 00160300 0C169400 00160500 00160600 00160700 00160B00 00160900 00161000 00161500 00161200 00161300 00161400 00161500 00161600 00161700 00161800 00161900 0016200C 00162100 00162200 00162300 00162400 00162500 00162600
- 62
00000001
00000002 00000003 00000004 00000005
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OOOC0022 00000023 OCC(oCC.2 ..
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00000032 00000033 C0000034 00000035 00000036 00000037
00000038 00000039
001573目。c.....・・・...・・s・.......・.....・......1:・ 8・.....・2・..・...・s・2・s・・.・...・ 8・・2・・・・00157400c..... ・a・‘00:57500E ・..・・ SU9RQじTlNE PROGRA句 FQ;;: 阿AS5 HACτION ON GRA?Hl!E ~ALι s・8・.00157600
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:開PL!C!T REAL-S CA-H,O-Z) 00158300 TA食A問EγER ( _G=8.314, K=5, ETS=1.0E・6,XIO=1.0E-2, XI阿IN=1.OE-8 ) 00158400 OI阿ENSIO匂 SH(3),5(0:;:)... 口MG3(1(), [)陀GW(K),A~唱O~O:.+1) 00158500 E白阿MON Iro!l¥.iG/':;'何日L 00158600
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JAERI -:1.1 92-160
F 口 QrQA~~7 ア E)( V12~:O D~rE CZ・09・2: T 1・"-e2白"2:03
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RETURN END
-62
JAEKI-M 92-160
F0RTRAN77 EX V12L10 DATE 92-09-2. TIKE 20:42:03
C«.«.. c«»...
00000002
l * « B * S S S « J X S K S B S > « « * a * * B S S S C S * Z * S B X B S S S B * * S a S a S B S > S « a « » .
FUNCTION' PROGRAM FOR CALCULATION OF FRICTION FACTOR
FUNCTION FR1C ( Hi, XFJYD >
I B B B B B B
IMPLICIT REAL'S (A-K/-0-Z)
00000003 FAPF<x,r)=c 3 . 4 4 / X « B O . S + <2.25/4.0/X»36.0-3.44/X«.0.SJ 1 /<1.0*2.1E-4/X/X) ) / Y
C 00000004 XI = 0.000001 00000005 X2 = XBVO 00000006 FRIC = ( X2«FAPPIX2,RE> - X1.FAPP{X1,RE) >/C X2-X1 )
c 00000007 RETURN oocooooa END
00162700 •••C0162S00 •••00162900 •••00163000 >a»oo:63;oo
00163200 a.00163300 '••00163400
00163500 00163600 00163700 00163S00 00163900 00164000 00164100 00164200 00164300 00164400 00164 500 00164600
63
OCODOCDl
JAERI -:111 92-160
FORT~A~77 EX V~2LI0 DA TE 92-a,9-2. T Hぞ 20:'-2:03
C 0016210。E・・s・a・・a・8・...忍草s・a・z・8・......・s・8・z・8・z・...・8・8・・・8・&:1......・8・・......C01628白OC *...・ ・盆・・.001629C!C!c..... fUNC!!CN PRCGRAM FOR CALCUL~i! 白N OF FRltJION FACTO~ ‘ s ・ .00163000c.... .. C.・s・・
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・・.'..00163300 cll:....・.......・g・....・ 8・z・..・2・8・2・・s・8・...・・s・a・・・s・....奪・8・・........・寧..0016340。
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1(1.0+2.1E-4/X/X) ) / Y 00163900 00164000
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00164400 00000007 RETURN 00164500 0口COOOOB 位。 0016460。
-63
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JAER1-M 92-160
F0STRAK7? EX V12L10 BATE 92-09-21 TIME 20:42:03
Fuf.CTI0K PRCGRAK FOR CALCULATION OF MASS TRANSFER
FUNCTION AMTC C RE# S O XB»B >
i t i i i i t t i i t i t m i i t i i i t i I l l t l f l l l l X I I I t l l l l l t l l
C00C00C2 c
1KFL :c IT REALMS IA-H,0-ZJ
C0CCC0C3 c
SM; (X> =t 1.41S«x».{-0.332333) - 0 .7 00000004 SH2 (X) = 1.615«X«.J-0.333333) - 0 .2 CC000C05
c Sr.Z CX) = 3.4S7 * C-C499/X
OOOCCCOlS c
xi = 0.00001 CC000C07 X2 = XB»3 0C0C0008 :F < RF..LE.1.0.0S.SC.LE.1.0E-4 > THEK 00000009 AKTC = 1.0 0000C01C RETURN' 0CC0C011 EKDIF 000000:2 XAST = Xl/RE/SC OOCCCO'.S XAST; 2 = = X2/RE/SC coococ:4 IF t XASTl.LE.O.COS ) CC00CC.5 : F c XAST1.GT.0.005.ANE.XAST1.LT. .0.03 000000:6 IF c XAST1.GE.0.03 ) cooooo:? IF ( XAST2.LE.0.0CS ) cocooota IF t XAST2.GT.0.0CS-AKD.XAST2.LT. 0.03 0OC0OC19
c IF ! XAST2.GE.0.03 )
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DI?I - 1.0 ooeoco?-. DIF2 = 1.0 C00C0022 D:F = 1.0 OCC00023 Owl = • .o C0CCCC24 0W2 = :.o CC00C02S DU = :.o 0C00C026 AKTC = < x2«ShX2»BW2.DIF2 - X1*SHX1 • fjtfli
c 1 /OW/DIF
CCCCCC2? c
RETURN ccccccre END END OF CO K?: ILATIOIW.-ilC HEST SEVERITY CQDE=00
SHX1=SK1JXAST1) SKX1=SH2(XASTI) SKXl=SH3tX«ST-) SKX2-SK1CXAST2) SttX2 = SH2CXAS'23 SKX2=SB3CXAST2J
©0148800 •••••©Q148900 •••••00149000 •••••00149100 •••••00149200
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w « lit - v 1
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S 2 SI£RB| ,5 tE- } tp«
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l e \ ' = 1.60218* 10 " J 1 u=l-66054« 10 r k e
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/ % -- (t. bar * tt Gal + . •» - Ci r, >• ^ v v K > h rati
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I A^ 0.1 n m ' 1 0 " " n i 1 b-100 f o r - 1 0 - " or 1 b a r - 0 . 1 MPa 10'Pa 1 G a l " 1 era 's" - 10 "m-'s" lCi - -3 .7«10"Bq 1 R^2.58«10 ' C k B I rad = lcGy = 10 Gy 1 rem = I cSv - 10 - Sv
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10' ! X 7 * * i E to' 1 ~ 7 J P
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10 ' -T ' i d 10 - . <r > + i V
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1
kgf
' 0.101972
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4.44822 0.1535H2
Ibf
0.224809
2.20462
1
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t ) W S ImVs-- iO'St' U - " >>cm-/s'
H-: MPa:=IOba r i kef/cnv f a t m tnmllK' T o r r ' Ibf /in'' psi
1 10.1972 j 9.86923 7.50062 - 1 0 ' 145 03H
/ j 0.0980665 1 ! 0.967841 735 559 14.2233
1 0.101325 1.03323 1 760 146959
1.33322x10- 1.35951 x 10 ' 1 I.3l579x 10 • 1 1 93368 • M
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J ' -10"erg' kgf"m I k\V • h caMitWf i . ) J Btu ft - Ibf
1
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418605
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I 35582
0.101972
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107 586
0.138255
1.60218 x 10 '- 163377 : 10
2 77778 x 10
2.72407 » 10 '
1
1.16279 x 10 '
2 93072 x 10''
3.76616 x 10
4.45050 x 10"
0.238889
2.34270
8.59999 x 10'
1
252.042
0.323890
9.47813 x 10 '
9.29487 x ]0
3112.13
3.96759 x 10 '
1
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0.737562
7.23301
! 2.65522 x 10*
3.08747
| 778.172 I ; I I 3.82743x 10-'-1 1.5185" « 10' " | 1.18171 x 1 0 "
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6.12082x10"
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2.61272 x 10"
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