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Steady-State Thermal Hydraulic Analysis of LMR Core using COBRA-K Code KAERVTR-838/97

Steady-State Thermal Hydraulic Analysis of LMR Core using COBRA-K Code 1997. 2.

ABSTRACT

A thermal-hydraulics analysis code COBRA-K is being developed by the KAERI LMR core design technology development team. COBRA-K is a part of the integrated computation system for LMR core design and analysis, the K-CORE system. COBRA-K is supposed to predict the flow and temperature distributions in LMR core. COBRA-K is an extension of the previously published COBRA-IV-I code with several functional improvements. Specially COBRA-K has been improved to analyze single and multi-assembly, and whole-core in the transient condition. This report describes the overall features of COBRA-K and gives general input descriptions. The 19 pin assembly experimental data of ORNL were used to verify the accuracy of this code for the steady state analysis. The comparative results show good agreements between the calculated and the measured data. And COBRA-K can be used to predict flow and temperature distributions for the LMR core design. 3 "3 ...... 11 ... Abstract ...... 111 1% %3) ...... V E$+%)...... vi

1. Ajg ...... 1

2. COBRA-Kq g+qE@q A]*%q ...... 2 2.1 g+qzgl ...... 3 2.2 3sq d)ggq ...... 8

3. COBRA-Kq 9 XIS ...... 10

4 . 3^d-^oFqg+q .;ln * 4% ...... 13 4.1 GEOMq 9 q7.l-S ...... 14 4.2 COBM-Kq X)g Z)AJ ...... 17 4.3 q*gZ+AE ...... 26

5...... 34

%xg@ ...... 35

+q: "d+-$Ld g+q 41*%i!+ gq ...... 36

.iv . -J-$1. E$F+s aA\d]q g+b ...... 6 -J-g 2. zs+L+s +,a441 ...... 15 3. k-gqcj] gqzj 4qS-r ...... 3%4. +L+z 1, 8, 7, z%q+t!J*J +-e 27 13 5. ++z 1, 8, 7, '2534 qM&%k ~#qq-$€ ...... 28 ...... 3% 6. 24921 So141Aj -@FHJSJ q+y+gq gqq 29 ...... 2% 7. +%$I 201414S +!+%$I q+++zq 9q~H -Ss . 29 ...... 2% 8. q4?++$g(E@i+ 269 AIo])q ii!2Is 30 ...... 2% 9, ZAjq +L+.1(25*f13 36% AJ.O])Sq 32l.w 31 2% 10. *qt!J*J +L+%(l+i!)88 A\O])q z%)%...... 31 33 11. gFUJg Pfs(1!$,3 6% Ako1)q Z%)%...... 32 ...... -J$ 12. $431pF A]<\x]q tl13 (xgq,x+-%) 33 ...... 3%13. 2+321p)~]ci21q qiz (~134,xj+-q) 33

-v- 1. C0BW-K $qq xg ...... 5 ...... g 2. COBRA-K 352l A]*$q 8 g 3. COBRA-Kq CARD GROUP go$ ...... 10 3€ 4. ORNL 19 PIN FFM-2A q*S.%F.”d#d]q fS %Iqx\!2 ...... 13 g 5. ORNL 19 p~~ol)q @ GEOM~9 q X)S ...... 14 ...... 6. ORNL 19 PIN41 @ COBRA-Kq X\s 19

- vi - -1- -2-

-P- 3E 1. COBRA-K PfqE%!

Intra- - pressure drop ( channel friction factor ) assembly - turbulent mixing - diversion crossflow - wire-wrap sweep flow ( swirl flow 1 - thermal conduction - inlet flow (velocity) distribution - buoyancy-induced flow redistribution - flow recirculation - fuel rod model

Inter- - interassembly heat transfer . assembly - interassembly flow redistribution

-5- -6- -7- .. -8- -9- - 01 - uoy~euuo~u![auueq:, payqq -1 I Group 8 - rod dimension Rod information - radial power factors - rod material properties - temperature dependent properties - rod material distribution (axiallv) Group 9 - roll option Calculation - momentum equation solution option Parameters - subchannel length - transient time - convergence criteria - crossflow resistance - number of axial nodes - number of time steps - time step versus transient time table - variable axial node lengths Group 10 - turbulent mixing correlation Mixing Parameters - conduction geometry factor - swirl model parameters Group 11 - inlet temperature distribution Boundary Conditions - inlet flow distribution - pressure drop - assembly power levels - transient forcing functions Group 12 - option to print all or any part of the calculated -0utDut Parameters results

- GROUP 4 subchannel areas wetted parameters heated perimeters subchannel logic

- 11 - - GROUP 7 relative wire wrap crossing information for the wire wrap model initial wire wrap inventory

- GROUP 8 fuel rod diameter radial power factor rod-to-channel connection data

- 12 - 'd 4 Y 0.23 0.2% 0.056 12 0.061 21 (*401=40) 14.7 599 4.57, 0.0615 114.78, 1.775 l(i39)

1.

0.01 0.5 (a.=LH011 4 43) 0.5 0 40. 80. 120

- 13 - H 5. ORNL 19 PINql Gl@ GEOM4 9 q4Si 1 I9 PIN WIRE WRAPPED TEST PROBLEM(standard) GEM I 2 GEM 3 0.286 .230 .0001.3430.000 ,056 GEOM. 8 11 1050 =OM. 9 19 .2300.000 0 0 01.OOo 0 GEM 10 I.0001.mI.0001.0001.o0O1.0001.0001. o0O1.0001.0001.0001.000 =OH. 12 l.OOo1. w)01.0001.0001.oO01.0001.000 GEOM. 12

GEOM. 1

1 19 PIN WIRE WRAPPED TEST PROBLEM(standard)

- 14 - ‘ 8-9-10 ‘, ,/>24 1’7,,f--k-$ ’\*%,

i 19- 2 - 3 -11 \

GEOM. 3

- 15 - .-

- 16 - 120 READ (12,1670) NGROUP.NI,N2.N3.~.NS.N6.N7.N8.N9.N10.NIl.N12.N13.N14 SETIN 00045 +. Nl5 SETIN 00046

GO TO (140. 170.210.230,240.280.320.440.7M.890.1080.1530). NGRW SETIN 000% C SETlN 00059 C CARD GROUP 1. SETlN 00060 C PROPERTY TABLE INPUT SETlN 00061 C SETlN 00062 I40 CALL LIMITS (NI.I.W.NGRW.CARD.ERROR) SETIN 00063

- 17 - GO TO 120 SETIN 00078 C SETIN 00079 c uRDGRwp2. SETIN mom C FRICTION FACTOR AN) Flu( COEFFICIENT INFUl SETIN 00081 C SETIN 00082 170 NVlSCW = N3 SETIN 00083

- 18 - 3€ 6. ORNL 19 PINdIqT! COBRA-Kq 3qxfS

COBRA. I 1 (IRK 19 rod (96.12.9) standard. thermal conduction sETup. 0 2100 SETIP. 2 ,316-.25 0.0 0.0 0.0 0.0-0.0 0.0 SEW. 2. I 316 SmP. 3 1.0 .0749.075 0.6 ,6001 1.00 sETup.3. I 1.0 0.0 1.0 1.0 0.0 0.0 SENP. 3.2 41000 SENP.4 40 SEW. 4.1 I136 IO I SETUP. 4.3 1100 SETUP. 4.4 I m.4.5

SEnrP. 4.6 2 25 26 SEW. 4.9 2 21 20 m.4.9 2 29 30 SETUP. 4.9 2 31 32 SEW. 4.9 2 33 34 sENp.4.9 2 35 36 SEW. 4.9 SETw. 4. IO sETup. 4.10 SETUP. 4. IO 7 1 54 039 sENp. 7 2. .23 ,056 sENp. 7.1 810 000 SETUP. 8 I I I9 11 01.343 sENp.8. I 9 5 loo m.3 40. 0. l.E-5 .01 .6 .6 sEW.9. I SETUP. 9.2 30 30 SETUP. 9.3 101Il SEW. 10 1.01 0.00.5 SETUP. IO. I I 0 .I m.IO. 2 11 1 sm.I I 4.696 599. 4.51 114.7826 sETup.11.I 1210100 0 0 0 0 2 SEIUP. 12

- 19 - - 20 - - 21 - SETUP.4.5 1 SEIIIP. 4.5 SETUP.4.104lAj AkgiS)? DEFAULT iik

SETUP.4.7, SETUP.4.8 N4 = 1, N2>0 52 aR@ q+kqEiZ A8q

SETUP.4.9 2 25 26 m.4.9 2 27 28 SETUP. 4.9 22930 m.4.9 2 31 32 SEW. 4.9 2 33 34 SEW. 4.9 2 35 36 SETUP. 4.9 IEDGE=l, E€$ N2>09 4 ?ixlk aCS, 4341 q@q q%@ FqZZ *a9 $?443.13EFd*.

SETUP.4.11

- 22 - SETUP.4.12, SETUP.4.13 N3>0% .H?! +Ol4E3 "89.

SETUP.7.1 12. .23 .056 SETUP. 7. 1 wire wrap4 $@@ 4SS4, wire wrap4 pitch, $S8 E2 41149 q?3, wire wrap4 43% Lt4-43, '342 incholq.

- 23 - SETUP.9 9 5100 SETUP. 9 40. 0. I.€-5 .01 .6 .6 sm.9. I SEW. 9.2 30 30 SETUP. 9.3 GROUP 9-2 4s 3"6jA.1 %!a@ 4I*F!!$E Lfq'i!!G. N3t %%% li!iE%34q 4Yi$ e%%?301 Lj1 7FX17). %q. N3=1 : Iterative Solution Scheme

0 N3=2 : Direct Solution Scheme N3=3 : Recirculation Scheme

0 N3=4 : Forced Convection Model

SETUP.9.1

40. 0. 1.E-5 .01 .6 .6 SETUP. 9. 1 '40'4 'O'& ~~%~?$~ols) q)E)qH, Lfqx13 f@@41* damping factor@ Lf)E)Ylq.

- 24 - SK 0 N1=4 : WT=a Reb- oc ZK

SETUP.1 1

II 1 SETUP. I I

- 25 - 14.696 599. 4.57 114.7826 sETup.II.I 1210100 0 0 0 0 2 SETUP. 12 Nl=l& Od?i%€7)., NZ=O& Plf+$Ol g$01 ?q4"d9 4Dliif3, N3, N4, N5, N6, N7, N8, N9, N10, N144 *€%a* 98% 4-%01q.

- 26 - 820

818 - - 816 - 814 - L E g 812 -: 810 - .-5 808 . 73 5: 806 - - z 804 802

0 40 80 120 Axial Nodes

5.5

- .-m 2 3.5

3 . . ~ . _- 0 5 10 15 20 25 30 35 40 Axial location (in)

- 27 - E .z 650 U0 m 600

550 - -_ .- 0 5 10 15 20 25 30 35 40 Axial location (in)

- 28 - 830

825 - 820 U e 815 0 2m 810 e 805 al - 800 5 795 Co2 790

2 3 4 5 6 Circumferential subchannels

760 4u

740

700720

16" 680 t---1

640620 k?- 600 25 26 27 28 29 30 31 32 33 34 35 36 Subchannel numbers

- 29 - 40

35

30 n

.-U 25 .-0t c 20 0Io -0 s 15 10

5

0 -2 -1.5 -1 -0.5 0 0.5 Gap crossflow (Ib/sec-ft)

- 30 - 40

35

30

-ILr; 2 5

10

-1 0 1 2 Gap crossflow (Iblsec-ft)

40

35

0 -10 5

0 -1 - 0.5 0 0.5 1 Axial location (in)

- 31 - - ZE -

L-

OP 1.4

1.2

1

_-__- -e Calculated daia __0 0.4 ' ExperirnentaldaLa

0.2

0 30 15 14 3 6 23 24 36 Subchannel numbers

1.4

1.2

1 t- l5 0.8 .t- 2 0.6 -___. - 6- tCalculated data 0.4 .___0 Experimental__ data

0.2

0 30 15 14 3 6 23 24 36 Subchannel numbers

- 33 - - 34 - 1. Weisman, J. and Bowring, R. W., "Methods for detailed thermal and hydraulic analysis of water-cooled reactors", Nucl. Sci. Eng., vo1.57, 255-276 (1975)

2. Rowe, D. S., "A mathematical mdel for transient subchannel analysis of rod-bundle nuclear fuel elements", J. Heat Transfer, 211-217 (May 19731, and discussion, 565-566 (Nov. 1974)

3. Rowe, D. S., 'COBRA IIIC : A digital computer program for steady state and transient thermal-hydraulic analysis for rod bundle nuclear fuel elementsi", BNWL-1695 (Mar.1973)

4. Wheeler C. L., Stewart C. W., Cena R. J., Rowe D. S., Sutey A. M., "COBRA IV-I : An interim versjon of COBRA for thermal-hydraulic analysis of rod bundle nuclear fuel elements and cores", BNWL-1662 (Mar. 1976)

5. George T. L., Basehore K. L., Wheeler C. L., Rather W. A., Masterson R. E., "COBRA WC: A version of COBRA for single-phase multiassembly thermal-hydraulic transient analysis", PNL-3259 (Jul. 1980)

6. Masterson, R. E., Wheeler, C. L., "A new scheme for solving the COBRA energy equations during natural-circulation conditions", ANS vol. 30, 204-26 (Nov. 1978)

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0

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YMRV a lRlT mlw MI w? ll3 Y t6 w6 N7 M N9 NIO W11 MI2 W13 W14 Ill5 110000000000 000 31600000000000 0 4l0000000000 00 0 7 I54 0 39000 0 00 00 0 8IOOOOOOOOOO00 0 905100000000 00 0 10 1 I IO0 0 0 0 0 0 0 00 0 I1 IO0 0 0 0 0 0 0 0 0 00 1210100 0 0 0 0 2 0 0 0 0 0 000

* 0.m

1 om om oon om 0075 lm tm omow om IMO om

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- 74 - I BIBLIOGRAPHIC INFORMATION SHEET Performing Org. Sponsoring Org. Standard Report No. Subject Codc Rewrt No. Rewrt No. INIS KAERVTR-838/97 Steady-State Thermal Hydraulic Analysis of LMR Core Title/Subtitle C0BRA-K C-,&

and uemenr I Researcher and ]KIM Young-Gyun, KIM Young-In, YDemrtment KIM Younn-Cheol (LMR Basic Technolonv DeveloDment Publication Publication Taejon Publisher KAERI 12. Place Date Page 74 p. Fig.&Tab. Yes( 0 1, No ( 1 Size 26 Cm. Note ‘96 Mid-long term Project Open( 0 19 Restricted( Classified - Class Document Report Type Technical Repod Sponsoring org. I Contract No. Abstract 05-20 Lines) I

A thermal-hydraulics analysis code COBRA-K is being developed by the KAERI LMR core design technology development team. COBRA-K is i part of the integrated computation system for LMR core design and analysis the K-CORE system. COBRA-K is supposed to predict the flow and temperature distributions in LMR core. COBRA-K is an extension of the previously published COBRA-IV-I code with several functional improvements. Specially COBRA-K has been improved to analyze single and multi-assembly, and whole-core in the transient condition. This report describes the overall features of COBRA-K and gives general input descriptions. The 19 pin assembly experimental data of ORNL were used to verify the accuracy of this code for the steady state analysis. The comparative results show good agreements between the calculated and the measured data. And COBRA-K can be used to predict flow and temperature distributions for the LMR core design. Subject Keywords LMR Core Design, Thermal-Hydraulic, COBRA, (About 10 words) Subchannel Analvsis. Wire- wrap