ML20249A064

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Non-proprietary Version of Errata to Rev 3 of WCAP-14845, Scaling Analysis for AP600 Containment Pressure During Design Basis Accidents
ML20249A064
Person / Time
Site: 05200003
Issue date: 03/31/1998
From:
WESTINGHOUSE ELECTRIC COMPANY, DIV OF CBS CORP.
To:
Shared Package
ML20036E432 List:
References
WCAP-14846-ERR, WCAP-14846-ERR-R03, WCAP-14846-ERR-R3, NUDOCS 9806160019
Download: ML20249A064 (7)
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.

, DCP/NRCl379 ENCLOSURE 2 ERRATA FOR WCAP-14846, Rev 3.

" Scaling Analysis for AP600 Containment Pressure During Design Basis Accidents" Nonproprietary I

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9006160019 -

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4 4-21 3

Table 4-1 Containment Time Constants - DECLG LOCA Post-blowdown C6ntainment Time Constant Symbol and Definition Numerical values at Hierarchical Level 1200 seconds, (sec.)

Containment system tsystem = Vcontainment /Co 5045 Tconduction C6p /h

" Psh 256 Large scale flow tplume entrainment = Vcontainment /Ge, plume 337 structures Twall entrainment = Containment /Ge, wall 418 Wall boundary layer t residence time "M VetNet M U.6 control volume vH 0.5 to 1.2 t, -

s g (AT)a Tdiffusion layer penetration

  • bm /Dy 05 Where the particular values used in the above table, obtained from Reference 37 except where noted in the text, are:

Vcontainment = total containment free volume,1.7x106 ft3(changes less than 10% during the transient).

Qo = source (break) flow of steam,337 ft3/sec.

psh = density of containment shell material,490.7 lbm/ft3. l Cp = containment shell material specific heat capacity,0.107 BTU /lbm-F.

6 = containment shell thickness,0.1354 ft. (1.625 inches).

h = equivalent total heat transfer coef'icient based on the temperature difference from containment gas to shell surface,100 BTU /hr-ft2.p, k = containment shell thermal conductivity,23.6 BTU /hr-ft-F.

Q,,pium, = volumetric entrainment rate for gas into the rising source plume, 3

5050 ft /sec.

Qe.wan

= volumetric entrainment rate for gas into the falling wall boundary. layer, 3

4065 ft /sec.

Qat = volumetric flow rate out of the bottom of the wall boundary layer, (Q an -

Qcondensed ), where Qcondensed = 00 at quasi-steady conditions,3728 fhw/

3 V DL = volume occupied by the wall boundary layer,65,500 ft .

v = kinematic viscosity of the boundary layer mixture, ranged from 2.3x10-4 2

(steam) to 2.4x10-4 (air) ft /sec.

H = height of the wall boundary layer,121 ft.

Constitutive Equations for Heat, Mass, and Radiation Transfer Revtsion 3 o.uoub non M 320% March 1998

.- . 10 abs P,i, = p,i,, n , p, ,p,o,, , p, ,

init,.bs (62) 6.3.1 Rate of Pressure Change (RPC) Equation An RPC equation can be written by combining the equation for the rate of change of internal energy, Equation (46) with conservation of energy, Equation (55) and conservation of gas mass, Equation 48:

c Bh dP .

C p P,,, , ,

cp p real gas: p +p -1 V + mg g 7 = m brk g (hgbrk - hstm) *g c P '" A

+E $stm.i (h,,,,j - h,,,) +f 'im +, hq,j 3(T if,j - T)

J ,

s ideal gas: V =sgbrk (hobrk - hstm) +

  • 5 f cP
  • E S stm.j (h,tm,j -h stm) *f pstm.

A

+ hq ,j j(T if,j - T) .

i i .

(63)

The ideal gas form results from the real gas form with Z = 1 and Bh/BP = 0.

Following the work of Wulff (Reference 12, Section 4.1), the symbol X is used to represent .

compliance, the coefficient that multiplies the right hand term VdP/dt. 'Ihe symbol A = {

(cp/ZR)Pstm/Pstm represents the mechanical response function, the pressure response to mass injection. It can be shown that (cp /ZR)Patm/Pstm = p Sh/Bplp, the mechanical response function defined by Wulff (Reference 12, Section 4.1). With these substitutions:

XV =6 brk(h brk- hstm) *^5g ,brk * ^$f stm f l

  • bbstm j(h,,,,;- hsem) * ^E $stm,i + { hq,jAj(T if,j - T) 1 1 1 (64)

Containment Gas Analysis and Equations for Scaling Revision 3 o.\40vti non INmows March 1998

sinks are always small. The pi groups clearly show the importance of mass transfer as the process that dominates the rate of pressure change after blowdown.

Volumetric compliance, Ep,,,is always a significant factor that mitigates the rate of pressure rise.

Table 8-5 Containment and Heat Sink Pressure Scaling Pi Group Values" Peak Blowdown Refill Pressure Long Term MSLB Pi Group

.n........ .,. g ,. .. - .. . .

ejM30.7%, ,... _ . lMd.i i!,!.0.7):&/ '

Contain- ny,, Ec;,0.74SA [460.7$d/> .sy. 0.788. ,,A

  • . ~ ~

ment v.

1.00il g:,. 0.00*

i.Wg'.1.00$p. ..

ny j . 5, 1.00g- L ,

.' ,;':.y 1.00 : . -

Kp c,brk,wmee ,

0.00 0.03 0.02 0.03 no g,brk,enth 0.04 3 0.05 -0.04 0.01 . 0.00 -

Drops n n.rnee.d 0.04 0.00 0.03 0.07 -

Pool n y ,,n,,,,

Steel n n .q.,, -0.01 74)MT T.^-del $1 -0.00 'cs 1-0.1 I ~

n p m,e,,, -0.05 4 l-1.41' ' ~ ' .-' 0.d,,

-0.02 . -0.44

}

0.00 -0.01 0.00 -0.01 -0.03 j Concrete n g,q,c, T-0M '

  • 4.01 4.08 4.02 4.09 l np. ,,,,,,

-0.03 -0.04 1 -0.02 Jacketed n, .q i, 0.00 -0.09 0 ny,cy -0.02 lM-U.E0* $2.'0M,8-d If,Y,%18I.7 - -0.08

- -0.07 -0.08 -

Evapora- n p q ,, -

ting Shell g7, e

a, 0.43,p.c v- -

r. m 30, g.. ,, z.,g

,- ve.:

K r .m.c. s

- 0.00 -0.01 -

Sub- n p3,, -

cooled -0.01 -0.06 -

Shell ng ,,,,,,, - -

(,3 -d.i(h.: -0.01 -0.01 0.07 Dry 0.00 no a d. - -

0 .37c...;i.

Shell 4.02 h,h 0.6ds'4 -0.03 -0.08 'M n p ,n,,,a,

  • Refill was scaled with the same pressure normalization used for peak pressure.

Ko p p

" The P igroups n p,,,,,,g, p p p p p n ,qa, K .gp, K .enth.d K .cnth.p. K .enth.sihave u's table.p no values greater than 0 r

and n .enth.ds ReVi5iO" 3 Evaluation of Containment and Heat Sink PI Groups March 1998 awm-b non.it>.032098

'10 16 AP Y (y-1)Ap p' PRESS " h BRK , g ENTH ,

'Ihe coefficients on the RHS of the RPC equation represent scaling groups associated with condensation energy transfer and convection heat transfer.

b eondA condh se ,

, Hcon/conv4T ,

8,COND."

P - " P,C O N V. "

N BRKbSRK mBRKhBRK g , g

. Recognizing these scalin5 groups, the RPC equation can be re-written in the following form.

V* dp*".. b.

Tp,sys 'A BRK BRK ~

p*PRESSdENTH f (y-1)* dt OND A COND h *, - {KP,CONV,H CONV ACONV (T-T,,f,5)*

5 f*P,COND Comparing coefficients between the RPC equations for AP600 and LST, the following time constant ratio and scaling ratios are obtained:

(t p,Syg)LST T sys =

P, RATIO (TP,5yS)AP600 i

PRESS' yP'ENTH i h IIp,ENTH PRESS P'" PRESSJ [A ENTH ;AP600 RATIO i l (Ap,COND)LST UP'COND RATIO " ("p,COND I AP600

("p,CONV)LST l-OP'CONV RATIO " ("p,CONV)AP600 l

Revision 3 Evaluation of Scaled Tests March 1998 oMossa non:1b-ono98 l

L- - _ _ _ _ .__________.__________________m

. 14-1

,- 14 REFERENCES 1.

DEL.ETED

2. "AP600 Standard Safety Analysis Report," Westinghouse Electric Corporation.

I

3. M. J. Loftus, D. R. Spencer, J. Woodcock, " Accident Specification and Phenomena Evaluation for AP600 Passive Containment Cooling System," WCAP-14812, Rev./,

! J ..; 1^^", Westinghouse Electric Corporation. 2 A pr.119ee

4. J. Woodcock, et al., "WGOTHIC Code Description and Validation," WCAP-14382, May 1995, Westinghouse Electric Corporation.

3, h l 5. "WGOTHIC Application to AP600," WCAP-14407, Rev/, J psl1999 j 1^'; , Westinghouse

!! Electric Corporation.

6. Letter, B. A. McIntyre (Westinghouse) to T. R. Quay (US NRC), " GOTHIC Version 4.0 Documentation," DCP/NRC0410, September 21,1995.
7. Letter, B. A. McIntyre (Westinghouse) to T. R. Quay (US NRC), " Updated GOTHIC Documentation," DCP/NRC0419, October 12,1995.
8. Letter, B. A. McIntyre (Westinghouse) to T. R. Quay (US NRC), "AP600 WGOTHIC Comparison to GOTHIC," DCP/NRC0429, November 13,1995.
9. R. P. Ofstun, " Experimental Basis for the AP600 Containment Vessel Heat and Mass Transfer Correlations," WCAP-14326, Rev.g, ht,, 2^^7, Westinghouse Electric Corporation. J, Ap/ /97#

l 10. F. E. Peters," Final Data Report for PCS Large-Scale Tests, Phase 2 and Phase 3,"

WCAP-14133 Rev.1, April 1997, Westinghouse Electric Corporation.

i

11. NUREG/CR-5809 EGG-2659, "An Integrated Structure and Scaling Methodology for i Severe Accident Technical Issue Resolution," INEL, EG&G Idaho, Inc.
12. W. Wulff, " Scaling of Thermohydraulic Systems," BNL-62325, May 1995, Brookhaven National Laboratory.
13. Letter, N. J. Liparulo (Westinghouse) to R. W. Borchardt (US NRC), "AP600 Passive Containment Cooling System Preliminary Scaling Report," NTD-NRC-94-4246, July 28,1994. (Superseded by WCAP-14845).

References Revision 3 on4osa nonm3ms March 1998 m .

44 14-3 I.. .

4 27. P. F. Peterson, " Scaling and Analysis of Mmng in Large Stratified Volumes,"

International Journal of Heat and Mass Transfer, V01. 37, Supplement 1, pp 97-1%,1994.

28.

P. F.'Peterson, V. E. Schrock, and R. Grief, " Scaling for Integral Simulation of Mixing in Large, Stratified Volumes," Sixth International Topical Meeting on Nuclear Thermal Hydraulics, October 5-8,1993, Grenoble, France.

29. W. D. Baines and J. S. Tumer, "Iurbulent Buoyant Convection from a Source in a Confined Region," Journal of fluid Mechanics, Vol. 37, Part 1, pp 51-58, (1969).
30. W. Wulff, " Integral Methods for Simulating Transient Conduction in Nuclear Reactor Components," Nuclear Engineering and Design 151 (1994) 113-129.
31. W. A. Stewart and A. T. Pieczynski, ' Tests of Air Flow Path for Cooling the AP600 Reactor Containment," WCAP-13328,1992, Westinghouse Electric Company.
32. F. P. Incropera and D. P. DeWitt, Fundamentals of Heat and Mass Transfer, Second Edition, John Wiley & Sons.
33. K. R. Chun and R. A. Seban, " Heat Transfer to Evaporating Liquid Films," Journal of Heat Transfer, November 1971.
34. WCAP-13307, " Condensation in the Presence of a Noncondensable Gas-Experimental

. Investigation," Westinghouse Electric Corporation.

35. S. S. Kutateladze, I. I. Gogonin, N. I. Grigofeva, A. R. Dorokhov, "Determmation of Heat Transfer Coefficient with Film Condensation of Stationary Vapor on a Vertical Suriace," Thermal Engineering, 27 (4), 1980.

l

36. A. Bejan, Convection Heat Transfer, John Wiley and Sons,1984, pp 159-164.
37. "WGOTHIC Application to AP600," WCAP-14407, Rev. 2, Appendix 9.D (Ib h e I

?=.2 Apar/ 1998 3

38. Not Used.
39. G. Yadigaroglu, Derivation of General Scaling Criteria for BWR Containment Tests, International Conference on Nuclear Engineering, Vol. 2, ASME 1996.
40. H. Fossett, Some Observations on the Time Factor in Jhiang Processes, Fluid Mechanics of Mixing, ASME,1973. Ntov4 References Revision 3 oMond non ite2ms March 1998
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