ML20010B552

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Thermal Stress Calculations on Fort St Vrain Core Support Structures
ML20010B552
Person / Time
Site: Fort Saint Vrain Xcel Energy icon.png
Issue date: 08/25/1980
From:
LOS ALAMOS NATIONAL LABORATORY
To:
Shared Package
ML19263D739 List:
References
FOIA-81-127 NUDOCS 8108170224
Download: ML20010B552 (40)
v • d • e


Text

____ ___

ENCLOSURE 2

.e.

m THERMAL ST.RESS CALCUL'TIONS ON FORT ST, VRAIN CORE SUPPORT STRUCTURES

~1 LASL AueusT 25, 1980

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8108170224 810529 PDR FOIA MULLEN 81-127 PDR

FORT ST, VRAIN CORE SUPPORT 3 LOCK THERMAL STRESS ANALYSIS THE PURPOSE OF THIS STUDY IS TO INVESTIGATE THE MAGNITUDE OF THERMAL STRESSES INDUCED IN FORT ST, VRAIN GRAPHITE CORE COMPONENTS BY THE COOLING AVAILABLE DURING A FIREWATER C00LDOWN

ACCIDENT, THE STRESS ANALYSIS USES CORE TEMPERATURE DATA PROVIDED BY SID BALL OF ORNL, THE WORK TO 3E PRESENTED INCLUDES:

e A 2-D STEADY STATE THERMAL STRESS ANALYSIS OF THE CORE SUPPORT BLOCK WITHOUT COOLANT HOLE AND WITH WORST CASE ADJACENT 3 LOCK TEMPERATURES, e

A 3-D STEADY STATE THERMAL STRESS ANALYSIS OF THE CORE SUPPORT BLOCK ASSUMING PERIODIC SYMMETRY.

BOUNDARY CONDITIONS ARE BEST ESTIMATES BASED ON AVAILABLE DATA, e

A 2-D ANALYSIS OF THE CORE SUPPORT BLOCK KEYWAY AREA TO ASSESS HIGH STRESS GRADIENTS IN MORE DETAIL, I

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TABLE I

SUMMARY

OF 2-D STEADY STATE TilERMAL STRESS ANALYSES CONVECTION PEAK IEMP. DROP FEAK MAX 1 HUM PHOBLEM NO.

COEFFICIENT IEMeERATURE -

IllROUGil CSB PRiNCleAL STRESS 1

30 btu /FT ' ll. 0F 2499 F

1182 F

929 est 2

15 2298 F

715 F

568 esi 3

6 2136 F

307 F

251 est 11 30 2155 F

873 F

248 esi 5

30 2366 F

1151 F

560 esi G

30 2244 F

762 F

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e 4

A..

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A.

A tj0DAL3REAKDOWNINVERTICALDIRECTICN i

FOR ORECA DATA 46.3 in.

1 g-f TOP RE: LECTOR I

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1 l

3 O

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O 1a7.2 in.

ACTIVE CORE 5

6 6

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39 6 in.

e e 20ii0M..::,::L:r. TOR s.c in.

1[s.0in.

9 e CORE SU.::CRT 3LCCX I

ORECA CONDITIONS USED FOR THER?AL STRESS CALCULATIONS

( J B

= 'M) e TIP.E = 200.0 Min T;n = 162.1 F

e e

10 % 3YPASS FLOW e

AVERAGE FLOW. RATE OVER 37 REGIONS - 50.75 t.s/ MIN o

FUEL REGION NO 19 NODE 8:

T

= 2008 cp CORE T

  • N oAs N0DE 9:

TcoRE " N D ToAs " N 9 a

. A?PROXIMATION OF INTERMEDIATE TEMPERAT'JRE USING LINEAR INTERPOLATION r

BOTTOM J

REFLECTOR 9

2cos F

(n0DE 8)

19. 4 in.

l 1942 F

(TCP OF 3 LOCK)

U 1307 F

(AVERAGE FOR TOP 8 IN, 8 in.

1773 F

OF BLOCK)

[

CSB q

7,.3 in.

U 1709 F

(NODE 9)

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PGX GRAPHITE MATERIAL PROPERTIES USED ?0R THERMAL-STRESS ANALYSIS e

THERMAL CONDUCTI'/ITY RADIAL:

k = 12.3 sTu/sa FT 0F LONGITUDINAL:

x = 13. 9 sTu/sa =T.0=

6 YOUNG'S MODULUS E = 10 Psi POISSON'S RATIO v = 0.15 THERMAL EXPANSION COEFFICIENT 1.13 x 10-6 AT 500 F

1.38 x 10-6 U

AT 1000 F

1,63 x 10-6 AT 1500 op 1.87 x 10-0 0

Ar 2000 F

2.11 x 10-6 U

AT 2500 F

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4 THERMAL CONDUCTIVITY RADIAL:

x = 12.3 sTu/sa FT 0.=

LONGITUDINAL:

x = 13. 9 3Tu/sa =T.O=

6 YOUNG'S MODULUS E = 10

?st POISSON'S RATIO v,= 0.15 THERMAL EXPANSION COEFFICIENT 1.13 x 10-6 U

AT 500 F

1.38 x 10-6 0

AT 1000 F

1,63 x 10-6 A-1500 0F 1.87 x 10-6 C

A-2000 F

2.11 x 10-6 0

AT 2500 F

CONVECTIVE HEAT TRANSFER COEFFICIENT FOR 5Y? ASS FLI.'

N u.4 :<

s "c

26 FOR HE AT 20 3AR AT 700 F

x = 0.155 sTu/sa.FT.07 U

0 AT 1200 F

k = 0.198 CF x = 0.252 AT 2000 l

Nu RANGES FROM 8.5 FOR A'0,5 IN. GAP AND LAMINAR FLOW a

l.

TO 7.5 FOR A 0.125 IN GAF AND LAMINAR FLOW ASSUME 0.125 1 3 1 0.50 IN.

THEN 15.8 1 h 1 94.3 aTu/sa.0.FT F

c 2

FOR A 0.25 IN. GAP h

= 29.b sTu/sa.07 7T c

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"c 24 FOR Hs AT 20 3AR Ar 700 U:

k = 0.155 3Tu/sa.=T.0-UF k = 0.193 AT 1200 U

AT 2000 F

k = 0.252 blu RANGES FROM 8.5 FOR A 0.5 IN. GAP AND LAMINAR.: LOW g

TO 7.5 FOR A 0.125 IN GAP AND LAMINAR FLOW 0.50 IN.

ASSUME 0.125 s

94.3 aTu/Ha 0=.=T2 THEN 15.8 h

c FOR A 0.25 IN. GAP h

= 29.8 sTu/sa 0

.=T2 e

.k 9

CO':VECTIVE HEAT TRANS.:ER CCE.:?ICIENT 20R CCOLANT HOLES AND CAVITY 4

e' COOLANT H0LES FOR TUR30 LENT FLOW IN A TU3E Nug<

a

=

c D

0.023 (R.)0 8 (P=)0 4 Nu

=

n 9.37 BTU /HR'FT.0F h

=

e-CAVITY d.c 2xh FOR C00 LENT HOLES

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C0i!VECTIVE HEAT TRANS?ER COEFFICIENT FOR C00Li.NT HOLES AND CAVITY e

COOLANT HOLES FOR TUREULENT FLOW IN A TU3E Nus<

h

=

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0.023 (Re)0 3 (?a0 4 Nu

=

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9,37 S T U /,q R.,: 7, 9 h

=

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CAVITY 2xh FOR C00 LENT HOLES h

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NET 'dEAT FI'JX INTO TOP OF BLOCK l

4 1

e CONDUCTION d

g.- x/L AT 1

2 Q=

0.17 sTu/ Min'13

.I e

CONVECTION b

(ASSUME 1/5 0F AREA IS INVOLVED)

Q=

1/5(h AT) c i

Q

=

0.10 sTu/ MIN'IN '

2 30 sTu/sa

.=T,o=)

(FOR h

=

c i

i e

TOTAL FLUX 2

0.27 sTu/ MIN IN Q

=

t a

4 1

l l

r

,.,..,.~s

,,,,,..,,J i,w l 10." U.

OL OCMI "WA Ilt l e

CONDUCTION

_ x/L AT g

2 0.17 sTu/stn : N Q

=

CONVECTICN (ASSUME 1/5 0F AREA IS INVOL'!ED) 1/5 0s.c AT) 0

=

?

0,10 sTu/ Min :n-Q

=

2 30 sTu/sa FT,c-)

(FOR h-

=

u e

TOTAL FLUX 0.27 sTu/st e :.2 Q

=

ESTIMATED HEAT FLOW FRCM SIDEWAL'_ (:.5 I.'!. G.A.::.

/ g c ; ff ( 1 1 ' N AVERAGE SIDEWALL TEMPERATURE

=

150C 2F

. ?. m :,p W-0F F

'g 3YPASS GAS TEMPERATURE

=

1200 j

CF ~'

ADJACE.1T SIDEWALL TEMPERATURE

=

1000 2

CONVECTION 3,750 sTu/sa :T 2

RADIATION 17,500 sTu/Ha =T CONDUCTION 2,400 sTu/Ha = 2 2

(12.5 sTu/HR,0,77 )(500 0=) = 57Ei sTu/HR.FT2 7

=

CONV 0

=

(1.713 x 10 o~ sTu/HR '.:T". R*.) (1. C) (1. 0) 9 r

333 (1960.04 - 1460 ) g4 = 17,50C sTu/HR':-

4

[

O COND

?

2,400 sTu/HR*.:T"

=

^4

.c$;;t~Q,WA &'l' Y( Y ^

,. lb

-ces s-o A.

CALCULATION OF 3YPASS GAS TEP:IRATURE

[n

i s '?,

,4 y- =42 ~

l& ' -

u-y PERFORM fiEAT SALANCE ON FLOWING GAS.::R DISTANCE REPRESENTED BY EACH NCDE.

a Ecp (T

- T -)

=

hA AT 3

ou E

=

330 L3/HR 13 BTU /HR,o,FT h

=

p c

1.24 sTu/La.0F e

=

p ITERATED TO OBTAIN AT

/ TIN + Tout)

I AT

=

CORE

(

2

/

CALCULATION OF 3Y? ASS GAS E7:E?.;T.:i 1

(

PERFORM HEAT 3ALANCE ON FLOWING GAS ::?. ::STA"CE REPRESENTED BY EACH NODE.

P (T

-TJ hA AT me

=

IN CU:

330 L3/HR m

=

13 BTU /HR*0 ':T h

=

?.

c 1.24 sTu/ts.0F c

=

p ITERATED TO OBTAIN AT CUT)

/s

+i ai T

IN Con--:

(

2

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103

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2e,tu t.

3.40

234,

-7 30)-

)

7.60 32 4

10.40 498 223 3

13.u,0 ca 3c-9, 80 a.00

/.

3 o

7 18.20 1012 903 3

2.1. 0 18 J.23o 3

9 24.00 1490 4

f a

me ns

a 3YPASS GAS TEMPERAT'J?.E CORE AVERAGE T (0 )

?

REEE STATION (FIl FOR 7 REGIONS ils E" E7ATURE 'O;

1 1.95 159 157 2

5.20 254 220 3

7.80 357 303

'23 4

10.40 498 2

5 13.00 552 554

~

5 15.50 830 728 7

18.20 1012 903 8

21.50 1282 1235 9

24.00 1490 4

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VIEWS OF THE 3-D CO.:5 SU:. 0.:.-

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MAXIMUM PillNCIPAL SIllESSES NEAit KEYWAY i_

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r 211 287 295 1161 is. -

299 303 is.

389 111 1 2 11 'l is. =

fill 9 211 358 N 62'g l

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THREE-DIMENSIONAL THERMAL-STRESS ANALYSIS ADINAT - STEADY STATE THERMAL-SOLUTION ADINA - STRESS SOLUTION MESH - 847 NODE POINTS 126 20 N0DE IS0 PARAMETRIC ELE.9ENTS FOR ADINAT AN ADDITIONAL 92 3 NCDE ISC?ARAMETR!C ELEMENTS SIMULATE CONVECTIVE SCU'EARY FLOW J

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RESULTS OF 3-D STEADY STATE ANALYS!$-

.. A t

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1759 F

(1307 C AVERAGE T FL

=-

UPPER

^

M9 N%

AVERAGE T

=

eowg, i

2009 0F MAXIMUM T

=

U MINIMUM.T 1405 F

=

852 PSI MAXIMUM STRESS

=

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[

SUMMARY

OF-3-D STEADY STATE..!;A'_YSIS t

1200 0?

BYPASS GAS TEMPERATURE

=

0 1980

?

(ORECA)

C00 LAND GAS TEMPERATURE

=

HEAT FLUX INTO TOP 0F 3 LOCK 1

?

Q = 2592 sTu/FT*'HR GAP BETWEEN 3 LOCKS 0.5 IN.

12.5 sTu/=:2,_y,o h

FOR B.YPASS FLOW

=

e 9.4 s u/FT2,33,g l

h FOR COOLANT CHANNELS

=

C 1

2 sTu/.=T sa U=

h FOR CAVITY 18.8

=

C

SUMMARY

OF 3-D STEADY STATE A.':A>_YSIS 1200 C BYPASS GAS TEMFERATURE F

=

1980 C:

CORECA)

C00 LAND GAS TEMPERATURE

=

HEAT FLUX INTO TOP OF 3 LOCK Q = 2592 aTu/FT HR GAP 3ETWEEN BLOCKS 0.5 IN.

12.5 sTu/=Ti sa.3=

h FC9. 3YPASS FLOW

=

c 2

9.4 aru/=T,gg,o h

FOR COOLANT CHANNELS

=

c 2

sTu/=T.sa 0=

h FOR CAVITY 18.8

=

e

SU3 STRUCTURING METHOD o

DEVELOP 2-D MESH FOR USE IN COMPUTER CODE TSAAS OF XEYWAY REGION EXCLUDING KEYWAY FOR COMPARISCN WITH 3-D RESULTS, A

e APPLY 3OUNDARY TEMPERATURES AND DISPLACEMENTS FROM 3-D RESULTS, e

ADJUST CONVECTION COEFFICIENT TO GET SAME TEMPERATURE DISTRI30 TION AS 3-D ANALYSIS, e

USE SAME 300NDARY CONDITIONS SUT INTRODUCE XEYWAY.

e FROM NEW TEMPERATURE DISTRI30 TION GENERATE TEERMAL

STRESSES, o

i i ii ssi i

TWO-DIMENSIONAL MODEL OF XEYWAY 2-D THERMAL AND STRESS ANALYSIS CODE TSAAS 324 NODE FOINTS MESH 46 CONSTANT STRAIN TRIANGULAR ELEMENTS 297 QUADRILATERAL ELEMENTS 2

CONVECTIVE HE'AT TRANSFER COEFFICIENT h

= 10.4 sTu/sa 7

07 l

l

REVIEW 0F CRITICAL ASSUMPTIONS S

NEGLECT RADIATION TO ADJACENT SLCCK NEGLECT CONDUCTION THROUGH HELIUM 8

ASSUME SIMPLE GECMETRY FOR CON'/ECTION CALCULATIONS 8

3-D EFFECTS AT KEYWAY ARE 10T INCLUDED t

'2-D ANALYSIS ASSUMED PLANE-STRESS AND NEGLECTED CORE WEIGHT AND PRESSURE GRADIENT EFFECTS

OTHER CONSIDERATIONS THAT ?.IGHT CHANGE RESULTS 8

TRANSIENT EFFECTS 8

ASYMMETRIES GEOMETRICAL THERMAL l

o DATA NEEDED FOR FRACT'JRE ANALYSIS ASSUME ANALYSIS IS 2-D AND DYNMIC C?ACK ?ROPAGATION IS CONSIDERED I

MAGNITUDE AND DIRECTION OF MAXIMUM PRINCI?AL STRESSES (CALCULATED) 0 STRESS INTENSITY FACTOR XI (CALC'JLATED) t I

CRITICAL STRESS INTENSITY FACTOR K c (MEASURED) 1 0

STRESS INTENSITY FACTOR FOR CRACK ARREST Ktg (MEASURED) h I

L j

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