dead leg heat transfer study.' · 2020. 5. 6. · calculation cover sheet! title dead leg heat...

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4 .. . ' . . ERIN ENGINEERING AND RESEARCH,INC. CALCULATION COVER SHEET ! TITLE Dead Leg Heat Transfer Study CLIENT NPPD - Cooper Nuclear Station PROJECT Generic Letter 95-C7 Support JOB NUMBER 122-95-32 CALCULATION NO. C122-95-23.002 REMARKS This calculation is composed of 9 pages plus Attachment A (4 pages), Attachment B (3 pages), and Attachment C (3 pages). L Rev. Description Approvals Date P 111ps // //!f[ ' 0 originalissue dbies /b #/'' /9 0 d cram o se(ers " Prepared by- Checked by- Approved by- _ Prepared by. Checked by: Approved by* Prepared by. Checked by: i Approved br Prepared by. Checked by- Approved by 9607030184 960627 PDR ADOCK 05000298 P PDR

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Page 1: Dead Leg Heat Transfer Study.' · 2020. 5. 6. · CALCULATION COVER SHEET! TITLE Dead Leg Heat Transfer Study CLIENT NPPD - Cooper Nuclear Station PROJECT Generic Letter 95-C7 Support

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ERIN ENGINEERING AND RESEARCH,INC.

CALCULATION COVER SHEET !

TITLE Dead Leg Heat Transfer Study

CLIENT NPPD - Cooper Nuclear Station

PROJECT Generic Letter 95-C7 Support

JOB NUMBER 122-95-32

CALCULATION NO. C122-95-23.002

REMARKS

This calculation is composed of 9 pages plus Attachment A (4 pages), Attachment B(3 pages), and Attachment C (3 pages).

L

Rev. Description Approvals Date

P 111ps // //!f['

0 originalissue dbies /b #/'' /9 0d

cram o se(ers "

Prepared by-

Checked by-

Approved by-

_

Prepared by.

Checked by:

Approved by*

Prepared by.

Checked by:

i

Approved br

Prepared by.

Checked by-

Approved by

9607030184 960627PDR ADOCK 05000298P PDR

Page 2: Dead Leg Heat Transfer Study.' · 2020. 5. 6. · CALCULATION COVER SHEET! TITLE Dead Leg Heat Transfer Study CLIENT NPPD - Cooper Nuclear Station PROJECT Generic Letter 95-C7 Support

._ _. . . . -

eausne .e, sa. =n rx gia ,m 1,:cui ..m e we w,uy,w.,y ii , 1,,.. ,;

.

CALCULATION SHEET|

l Table of Contents

SectionPaae

,

1.0 Purpose. .3. . . .

| -

| 2.0 Methodology . .3. . . .. ..

2.1 Heat Transfer Model . .3. . .. . . .

3.0 Analysis . .6. . . . . . . . . .

3.1 HPCI suppression pool suction line to HPCI-MOV-MOS8 , . 6.. . . .

| 3.2 RCIC suppression pool suction line to RCIC-MOV-MO41. 7.

4.0 Conclusion .9.. . . .. . .

5.0 References .9. . ... .. . . .

f Attachment A Program DEAD-LEG. BAS (4 pages) I

| Attachment B HPCI Study Tabulated Results (3 Pages)Attachment C RCIC Study Tabulated Results (3 Pages)

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ERIN Calculation No. Page 2_ @

C122-95-23.002, Rev. 0

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Page 3: Dead Leg Heat Transfer Study.' · 2020. 5. 6. · CALCULATION COVER SHEET! TITLE Dead Leg Heat Transfer Study CLIENT NPPD - Cooper Nuclear Station PROJECT Generic Letter 95-C7 Support

.. ._ _ _- . . . _ _. . _.. _ _ . - ..__

sam enen..<ineaa. .rm ras: tris;ess,ise. T :eso.kl.vg $2:NPPD Pas.4 of 40 Thursday,Januaryti,iets 3:10:24 PM,

-

CALCULATION SHEET'

1.0 Purpose

The purpose of this calculation is to study the heat transfer rate and temperature profile in dead legpiping. Dead leg piping is piping with no flow which branches off an elevated temperature source. Thisstudy will be used to establish criteria for dead leg piping length beyond which temperature increasescan be neglected for pressure locking susceptibility evaluations.

Specifically, this calculation will evaluate the temperature profile in the HPCI and RCIC suppressionpool suction lines. This information will be used to evaluate the susceptibility of HPCI-MOV-MO58 andRCIC-MOV-MO41 to liquid entrapment (* boiler effect") pressure locking.

2.0 Methodology

The analysis will be performed using one-dimensional steady-state heat transfer calculationsconsdering conduction heat transfer along the pipe and convection heat transfer between the pipe andthe surrounding environs. The use of steady-state calculation methods is conservative in that thetemperature profile in the dead leg is maximized and the timing considerations associated withtransient heat transfer models can be neglected.

2.1 Heat Transfer Model

The dead leg piping will be divided into a series of sequential nodes. Heat balance equationsconsidering conduction heat transfer from adjacent nodes and convection heat transfer fromthe environs will be developed and solved for steady-state conditions. The solution will usefinite difference methods which will be solved in an iterative process using a simple computerprogram.

Consider node 1 :

o r-m e

,3 , o p.i s soMat-

|

The heat transfer equations for node I are:

(T,-T,)O (1-1, 4 = k x A,, ,,, ,, x

dx

(T,-T,QQ (1+1, 4 = k x A,,, ,,,$,,x

dx

Q( >, 4 = h x A,,,, x (T,-T )

ERIN Calculation No. Page 3C122-95-23.002, Rev. 0 b>=r

e.uee.emp e s e.. ..e mwem e. . 4

Page 4: Dead Leg Heat Transfer Study.' · 2020. 5. 6. · CALCULATION COVER SHEET! TITLE Dead Leg Heat Transfer Study CLIENT NPPD - Cooper Nuclear Station PROJECT Generic Letter 95-C7 Support

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ERIN Ergineering & Rosearch Fu; rF13) 496J609 Ta: Ed Dekleva st NPPD Page 5 of 40 Thursday, January 11,1996 3:19:24 PM

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CALCULATION SHEET

For steady-state heat transfer conditions, the summation of heat transfer equations into nodei must equal zero. Therefore:

O(I -1,1) + OI!+1,1) + Q(=, I ) = 0i

I|

k u A, u (T -T,.) + k u A, u (T,-Tge) + h u A, u (T - T,,) = 0,

g

g: dx dx

Rearranging terms produces :i

!,

| T, u ( ' * + hA ,) = kA , ''' ''N+ hA,(T.,)

i

Now, setting all nodal temperatures relative to T. ( ie. T, = T - T ) and solving for T, . I

(T,y + T,y)T _-

I

| 2 + hA * + ( kA*)| de

||

Boundary conditions must be established. The boundary condition at the first node, node 1,|

is the temperature is constant at 1 = T,, where T, is the elevated process temperature. The '

boundary condition at the last node, node N, is no conduction heat transfer beyond node N.The steady-state heat balance equation for node N becomes:

Q(N -1,N)+ Q(=, N ) = 0

i k x A, x (T"-T"") + h x - * x (T -T)=0Ay

dx 2|

Rearranging terms produces:

x (O + 0) = kA,I"" + "' ( T,,)| Tydx 2 dx 2r

Again, setting the nodal temperature relative to T. ( ie. T, = T, - T.) and solving for Tu :

i

T ^ T" ^'

N1 + yp' + ( gp* )

2 dx,

The convection heat transfer coefficient, h, is a function of the temperature differential betweenthe dead leg pipe and the environs. Simplified equations for free convection from varioussurfaces to air at atmospheric pressure are provided in Reference 1. The simplified equation ;

ERIN Calculation No. Page 4C122-9523.002, Rev. O

~-@

~

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Page 5: Dead Leg Heat Transfer Study.' · 2020. 5. 6. · CALCULATION COVER SHEET! TITLE Dead Leg Heat Transfer Study CLIENT NPPD - Cooper Nuclear Station PROJECT Generic Letter 95-C7 Support

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ERIN Enyney & Research Fas; p13) desagte Ts: Ef Dekleva et NPPD Tage 6 of 40 Thursday, January 11.1996 3M11 PM

,

CALCULATION SHEET

for free convection from a horizontal cylinder with laminar air flow provides the lowest heattransfer coefficient and is therefore conservative.

The simplified equation for free convection from a horizontal cylinder with laminar air flow is:

h = 1.32 (y)

where h, AT, and D are in Watts "C, and meters. Converting to English units produces:

A = 0.27 (y)

Factoring this simplified equation into the equation for nodal temperatures relative to T gives:

(T,4 + T,n)T_

2 + 0.27( ).2s4, ( ,)

and for the node N boundary condition:

|4

T" "T =

1 + o.27(h).2sg* (u,)2 O dx

,

4

I

These heat balance equations were' programed'into a Basic computer program to facilitate thefinite difference iteration process. The program DEAD-LEG. BAS is described in Attachment iA to this calculation.

ERIN Calculation No. Page5_ @

C122-95-23.002, Rev. O

gg e ee es &W Weeee eae deama@pae m e

Page 6: Dead Leg Heat Transfer Study.' · 2020. 5. 6. · CALCULATION COVER SHEET! TITLE Dead Leg Heat Transfer Study CLIENT NPPD - Cooper Nuclear Station PROJECT Generic Letter 95-C7 Support

_

ERM Engineering & Research Fu: pHH96,1999 Ts: EJ Deme'ta st: NPPD Fage 7 of 40 ThursdTg, January 11.1996 3:20 62 FM

s

CALCULATION SHEET.

3.0 Analysis

The analyses will be performed on the HPCI and RCIC suppression pool suction lines. Muitiplesensitivity studies will be performed using different heat transfer coefficients. The studies will assumean elevated suppression pool temperature of 140*F and an initial ambient temperature of 80*F. Theseassumed temperatures are conservative in that the maximum post-accident suppression pooltemperature is 121 *FSI and maximizing the temperature differential will also maximize the heat transferrate down the pipe.

3.1 HPCI suppression pool suction line to HPCI-MOV-MO58

The HPCI suppression pool suction line,16" HP-4, is shown on isometric Plan No. 2611-621and has the following characteristics:

Length: 65' (approximately)Size: 16.<21

Outside Diameter: 16"mWall Thickness: 0.375"t2)Material: 0.5% Carbon Steel (assumed)Thermal Conductivity, k: 54 W/m*CM = 31.2 Btu /h.ft*F

The suction line is filled with water with the following properties:

State: Saturated liquid (assumed)Thermal Conductivity, k: 0.654 W/m*CW @ 140*F(assumed) = 0.378 Btu /h.ft*F

Three sensitivity studies will be performed. The first sensitivity study will assume the entiredead leg has the thermal conductivity of water @ 140*F. The second study will use acomposite thermal conductivity value based on the ratio of cross sectional areas of pipe andwater. The third sensitivity study will assume the entire dead leg has the thermal conductivityof steel.

The composite heat transfer coefficient is calculated as follows:

k u A pke + k,,, u A -werg c cy =

A -rmsc

31.2 x 1 (162 - 15.25 ) + 0.378 x 1 (15.25 )2 2

d 'k =e1(16 )2

4

Kc = 3.200 Btu /h.ft*F

The three sensitivity studies were performed using the basic program DEAD-LEG. BAS withthermal conductivities of 31.2,0.378, and 3.200 Btu /h.ft*F. The tabulated output from theseruns is provided in Attachment B to this calculation. The results are shown graphically below:

ERIN Calculation No. Page 6 @r 2-

C122-95-23.002, Rev. O ~

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Page 7: Dead Leg Heat Transfer Study.' · 2020. 5. 6. · CALCULATION COVER SHEET! TITLE Dead Leg Heat Transfer Study CLIENT NPPD - Cooper Nuclear Station PROJECT Generic Letter 95-C7 Support

1

ERIN Engkwering & Research Fas:(113)496J699 Ta:Ed Deklere at:NPPD Page 8 of 40 Thursday,Jarguary11.1996 3:21.49 PM

i-

' CALCULATION SHEET

|'

1

l HPCl Suction Line Dead Leg Heat Transfer Study

140 -Water130SteelE 120 - i

2 110 - Composite !3 |

3 100 -8. 9 0 -- I

y 80 --(E

70 --60 --: : :+ -

0 5 10 15 20 25 30 35 40 45 50 55 60 65

Distance Along Dead Leg (Ft)

As shown in this graph, the temperature effects diminish quite rapidly along the dead leg pipe.For the "all water" sensitivity study, the temperature gradient is diminished within less than 5'of piping. For the " composite" and "all steel" sensitivity studies, the temperature gradient isdiminished within less than 10' and 25' of piping respectively.

3.2 RCIC suppression pool suction line to RCIC-MOV-MO41

The RCIC suppression pool suction line, 6" RC-4, is shown on Isometric Plan No. 2621-1Nand has the following characteristics:

Length: 49' (approximately)Size: 6"W

Outside Diameter: 6.625"mWall Thickness: 0.280"W

;

Material: 0.5% Carbon Steel (assumed)Thermal Conductivity, k: 54 W/m*CW = 31.2 Btu /h.ft*F

The suction lir.e is filled with water with the following properties:

State: Saturated liquid (assumed) !Thermal Conductivity, k: 0.654 W/m CW @ 140*F(assumed) = 0.378 Btu /h.ft F

| Three sensitivity studies will be performed. The first sensitivity study will assume the entire| dead leg has the thermal conductivity of water @ 140*F. The second study will use a| composite thermal conductivity value based on the ratio of cross sectional areas of pipe and

water. The third sensitivity study will assume the entire dead leg has the thermal conductivityof steel.

ERIN Calculation No. Page 7 - @-x

[ -C122-95-23.002, Rev. 0

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Page 8: Dead Leg Heat Transfer Study.' · 2020. 5. 6. · CALCULATION COVER SHEET! TITLE Dead Leg Heat Transfer Study CLIENT NPPD - Cooper Nuclear Station PROJECT Generic Letter 95-C7 Support

ERNI:ngineering Snesearch Fas:(113)496J699 To: EJ Dekleva at NPPD Page 9 of 40 Thursday, January 11,1996 3:22:46 PM

'

CALCULATION SHEET

'

The composite heat transfer coefficient is calculated as follows:

u + < ,., a ,., j,, = , a c c

A tot.1 |c

31.2 x 1 (6.625 - 6.065 ) + 0.378 x 1 (6.065 )2 2 2

'k *cf(6.625 )24

Ke = 5.368 Btu /h.ft*F

The three sensitivity studies were performed using the basic program DEAD-LEG. BAS withthermal conductivities of 31.2,0.378, and 5.368 Btu /h.ft*F. The tabulated output from thessruns is provided in Attachment C to this calculation. The results are shown graphically below:

RCIC Suction Line Dead Leg Heat Transfer Study

140 -

-Water130 -SteelC 120 -

T Compositeg 110-3 100 -E. 90 .E L$ 80 -

70 --60

0 5 10 15 20 25 30 35 40 45

Distance Along Dead Leg (Ft)

As shown in this graph, the temperature effects diminish quite rapidly along the dead leg pipe.]

For the "all water" sensitivity study, the temperature gradient is dirrinished within less than 2' |of piping. For the * composite" and "all steel" sensitivity studies, the temperature gradient isdiminished within less than 8' and 20' of piping respectively. I

I

Ii;

ERIN Calculation No. Page 8 @-" -- #C122-95-23.002, Rev. O/%

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Page 9: Dead Leg Heat Transfer Study.' · 2020. 5. 6. · CALCULATION COVER SHEET! TITLE Dead Leg Heat Transfer Study CLIENT NPPD - Cooper Nuclear Station PROJECT Generic Letter 95-C7 Support

_ _ . . _ _ _ . . . _ . . .~ - - - -- - - ' - - - " - - * ~ ' ~ " " " " " ~ ~ ~ ^ ^

ER8N Engineering & Research Fax:(713) esJeet Ts: Ed Dek6 eve at: NPPD Page 10 of a Thumlay, January 11.1986 3.23.32 PMe

*

CALCULATION SHEET_

'

. 4,0 Conclusion

The primary conclusion of this study is that the temperature effects of elevated process temperaturesdiminish quite rapidly along dead leg pipe branch lines. For the "all steel * sensitivity studies whichclearly bound the real case, the temperature gradient is diminished within less than 25' of piping in theHPCI suction line and 20' of piping for the RCIC suction line. Therefore, HPCI-MOV-MO58 and RCIC-MOV MO41 are not susceptible to liquid entrapment (boiler effect) pressure locking due to suppressionpool heating.

5.0 References

1. J.P. Holman, Heat Transfer, Fourth Edition

2. NPPD Dwg. No. 2611-6, Rev. N05,16" HP-4 Suction Piping to H.P.C.I.

3. Crane, Flow of Fluids, Technical Paper No. 410,1969.

4. NPPD Dwg. No. 2621-1, Rev. NO3, 6" RC-4 RCIC Pump Suction.

5. Cooper Nuclear Station USAR Figure XIV-6-19, DBA Containment Temperature Response.

.,

d

ERIN Calculation No. Page 9 ;_ @C122 95-23.002. Rev. O

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Page 10: Dead Leg Heat Transfer Study.' · 2020. 5. 6. · CALCULATION COVER SHEET! TITLE Dead Leg Heat Transfer Study CLIENT NPPD - Cooper Nuclear Station PROJECT Generic Letter 95-C7 Support

. . . -- _ _ ._ - -.

.. . u.--,, r ..: m = x..e o ,. e. ,ro r ii .e. m,..v.s.-wii. un. m|l*

- CALCULATION SHEET i1

-ii

1 \

l,

1

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l1

ATTACHMENT A '

l DEAD-LEG. BAS i

DDLGREV1. BAS

1

|

|

|

l

l

l

i

!,

i

ERIN Calculation No. Attachment A a -- -

C122 95-23 002, Rev. O Page0~

@

_ . . . . . . _ . . . . . . . _ _ _ _ . . . . .

Page 11: Dead Leg Heat Transfer Study.' · 2020. 5. 6. · CALCULATION COVER SHEET! TITLE Dead Leg Heat Transfer Study CLIENT NPPD - Cooper Nuclear Station PROJECT Generic Letter 95-C7 Support

s:m sne n..,m a m.:=ch F. :(71a> 4ss,isse T.: sa o.ki.ya Et NPPD Page 12 of 40 Thursday..Lwary11.1996 324:61 PM| e

.

CALCULATION SHEET'

This calculation attachment describes and presents a validation of the basic computer program"DEADLEG. BAS" version 1, filename DDLGREVO. BAS, dated 1/10/96.

PROGRAM DESCRIPTIONi

The program performs steady-state finite difference heat tran sfer calcu!ations in accordance with the |methodology described in Section 2 of this calculation. The calculations are performed in an iterative jprocess until the specified convergence criterion is satisfied.

PROGRAM FLOWCHART

Data Entry ,

1

|

Calculate Constants,

,

Calculate Nodal Iterate |

Temperatures |

AT > CHKCheck ConvergenceCriterion.

AT s CHK

Print Results I

|

|i

,

I

i |'

!

n

4

ERIN Calculation No. Attachment A - - - @"C122-95-23.002, Rev. O Page 1

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. .. - - . - . . , ~ . . . _ . - . . - . . . ~ . . , , . - - . , ~ . . . - - - ~ . - --. -.~..a. -. - -. , --

ERN4 Engineering & Research Fas: (113) 496Jeet To: EJ Dekleva at: NPPD Page 13 of 40 Thurstay. January 11,19e6 3:25:31 PM I,

.

CALCULATION SHEET.

'

PROGRAM LISTING

DIM T(151,2), DT(151), TITLE AS STRING

REM "*"""**" PROGRAM DEAD-LEG. BAS VERSION 1""*""""" ;

REM """*""""* File Name DDLGREVO. BAS""""*"**""*" |REM DEFINE VARIABLES

1REM TW = WALL TEMPERATURE (F) '

'

REM Ti = AMBIENT TEMPERATURE (F)REM D = PIPE DIAMETER (FT)

!

REM CHK = TOLERANCE FOR TEMPERATURE CHANGE (F) |REM K = CONDUCTIVITY OF PIPE / WATER (BTU /HR FT F)REM HC = CONVECTION COEFF CONSTANT (DEFAULT = 0.27)REM L = PIPE LENGTH (FT)

iREM N = NUMBER OF SUBDIVISIONS IN PIPE LENGTH '

REM"*"**"*"*******""**""*"""""""*""""****"TITLE = " Verify"TW = 100Tl = 80D = 12 /12CHK=1

1K = 3.1831L = 10N=2,

DX = L / N|

Pl = 4 * ATN(1)!

KK = K * Pl * D * D / (4 * DX) !AH = PI * D * DXHC = .27 '

count = 0REM **"""***""***"***""*****"****"**"*"*""*"**"

REM INITIALIZE NODAL TEMPERATURES RELATIVE TO AMBIENTREM""""""""""""*""""""""""""""""" i

FOR l = 2 TO N + 1T(1,1) = 0

NEXTIT(1,1) = TW - TlREM""*""*"'''**""**"""""**"**""""""*""

REM SOLVE FINITE iM ?ERENCE HEAT BALANCE EQUATIONS AT EACH NODE'

REM"""""***""""**"""**""*""""***"*"**"*"2 FOR l = 2 TO N

T(1,2) = (T(I - 1,1) + T(l + 1,1)) / (2 + (HC * AH * (T(1,1) / D) a .25) / KK)NEXTlT(N + 1, 2) = T(N,1) / (1 + (HC * AH * (T(N + 1,1) / D) ^ .25) / (2 * KK))T(1, 2) = TW - Tlcount = count + 1REM"""""*""""""""""""""""""""""""REM CHECK FOR TEMPERATURE CONVERGENCE. IF DT IS LARGER THANREM CONVERGENCE CRITERION "CHK" THEN CYCLE BACK TO THE PREVIOUSREM SECTION ANDITERATE AGAINREM""""""""""""""""""""*"""""""""FOR 1 = 2 TO N + 1

DT(l) = ABS (T(1,1) - T(1, 2))

IF (DT(l) > CHK) THENFOR J = 2 TO N + 1

ERIN Calculation No. Attachment A @-*

C122-95-23.002, Rev. O Page 2

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,01/26/96 11:38 1714028255211 NPPD AT CNS= cau*= = = ar ,m,r ,p q %

_ @ 002-

-

Ts:Ed D.hW8'

Page 3 a(2 FateKJurasury12.tME 2M20 PM t

i

__

CALCULATION SHEET.

T(J,1) = T(J 2)NEXT JGOTO 2

ENDIFNEXTIREM =' ~ ~ ~ ~~~

REM PRINT RESULTS i

REM --- --- ----- ~~~ '"'**"****~ --- ~~~

'

PRINT , " ITERATIONS";";"i countPRINT , "TW: ", ";"; TWPRINT , "TI: "; ";"; TIPRINT , "D; "; ";"; DPRINT , "L: "; ";"; L '

;PRINT . "N: "; ";"; N '

PRINT "K ";";"; KPRINT , "CHK; "; ";"; CHKPRINT , " Feet"; ";"; TITLEFOR l = 1 TO N + 1

iPRINT , ((I - 1) " OX); ";"; (T(1, 2) * TI) !NEXTI '

CLOSE 1

STOPEND i

PROGRAM VERIFICATION !

i

hand calculation. The following equations are used;The case printed above will be verified by hand calculation. The input parameters were chosen to ease the

..e

Iw * I(2,1)i,

T"' =-

2 + 0.27(E)28A* + (b) 'D de

20 + T(2.9T"#I=

-

2 + 8.4823(Tg,53)2s

T* -- T'''''-

2(h)2sg,.(S)211+:D du

T(2ai T" '' '-

-

1 + 4.24115(Tt2.n} '

l|

I

!ERIN Calculation No. \

C122-95-23.002. Rev. O Attachment A lePage 3

- gg@

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. _ _ ____ _ _____ _ _ _ _ _ .

saw ara.: ren r :cria assasse To:E'1Deklera st NPPD Page 15 of 40 TNnsday. January 11.1985 3:27:02 PM

CALCULATION SHEET -*

The iteration table is shown below:

- lteration No. (N) Tw T T CHK,.3 2

0 (initial values) 20 0 0 N/A

1 20 10 0 10

2 20 1.1707 10 10

3 20 2.7718 0.1371 9.8629

4 20 1.5556 0.7741 1.2162

5 20 1.8107 0.3125 0.4616STOP

Adjust Reference 100 81.8107 80.3125 N/A

The reporting capability was revised to print the following report for this validation report only:

Iteration No. (N) TW T1 T20 20 0 01 20 10 02 20 1.170693 103 20 2.771833 .13705234 20 1.555617 .77414545 20 1.810693 .3124844

ITERATIONS S

TW: 100TI: 80D: 1

L: 10N: 2K: 3.1831CHK: 1

Feet Verify0 1005 81.8106910 80.31248

These results match perfectly. Therefore, the program is validated.

ERIN Calculation No. Attachment A@-

C122-95-23.002, Rev. O Page 4

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_, . . - - - '- -

3

ERN Engkwering & f.esearch Fas:G13)496J600 T3:Ef Dek;yta et: HPPO Fase 16 of 40 Thursday.Jarwary11.1996 3:27 At PM4

.

CALCULATION SHEET.

.

ATTACHMENT B

HPCI STUDY TABULATED RESULTS

I

Ii

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i,

i

|,

1

|

ERIN Calculation No. Attachment B @a-"C122-95-23.002, Rev. O

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I East Engineertne & Research Fas: p13Hes,3ess . Ts: Ed Deklers 2 NPPD Page to of 40 Thursday, January 11,1ess 3:3;3 pg

| .

| HPCI Suppression Pool Suction Une Dead Leg HeatTransfer Study,

||

| HPCI Suppression Pool Suction Line Dead Leg StudyOutputfrom DEAD 4fG. BAS

ITERAT10NS 38 M6 113TW: 140.0 140.0 140.0TL 80.0 80.0 80.0D: 1.33 1.33 1.33L 65 65 65N: 130 130 130K- 0.378 31.20 3.200CHK- 0.01 0.01 0.01

Feet Water Steel Composite0 140.00 140.00 140.00

0.5 102.45 133.13 121.461 89.27 127.14 109.11

1.5 84.15 121.88 100.74,

2 82.00 117.28 94.98'

2.5 81.01 113.23 90.96

3 80.55 109.66 88.10

3.5 80.30 106.51 86.064 80.18 103.73 84.57

4.5 80.10 101.27 83.49

5 80.07 99.09 82.67~

5.5 80.04 97.14 82.07 1

6 80.03 95.42 81.61

6.5 ' 80.01 93.87 81.27

7 80.02 92.50 80.99

7.5 80.01 91.27 80.79

8 80.01 90.17 80.62

8.51 80.00 89.18 80.50

9I 80.00 88.30 80.39

9.5 80.00 87.50 80.32

10 80.00 86.79 80.25

10.5 80.00 86.13 80.21

11- 80.00 85.56 801611.5 80.00 85.02 80.13

12 80.00 84.55 80.10

,12.5 80.00 84.12 80.08

13 80.00 83.73 80.06

_13.5 80.00 83.37 80.05

14] 80.001 83.06 80.04

14.5| 80.00[ 82.76 80.03

15! 80.00! 82.50 80.02

15.5| 80.00 [ 82.26 80.02

| 16 80.00 82.05 80.011 16.5 80.00 81.84 80.01

17 80.00 81.67 80.01;

; 17.5 80 00 81.50 80.01

:

Attachment B| HPCILEGM.S. Sheet 1 Page1 C122-95-23.002, Rev. O

Page 17: Dead Leg Heat Transfer Study.' · 2020. 5. 6. · CALCULATION COVER SHEET! TITLE Dead Leg Heat Transfer Study CLIENT NPPD - Cooper Nuclear Station PROJECT Generic Letter 95-C7 Support

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HPCI Suppression Pool Suction Line Dead Leg Heat Transfer Study,

18 80.00 81.36 80.00 1

18.5 80.00 81.22 80.0019 80.00 81.1 0 80.00

19.5 80.00 80.99 80.0020 80.00 80.89 80.00

20.5 80.00 80.79 80.0021 80.00 80.72 80.00 |

21.5 80.00 80.64 80.00 |22 80.00 80.57 80.00 !

22.5 80.00 80.51 80.0023 80.00 80.46 80.00

23.5 80.00 80.40 80.0024 80.00 80.36 80.00

24.5 80.00 80.32 80.0025 80.00 80.29 80.00

25.5 80.00 BC 25 80.0026 80.00 80.22 80.00

26.5 80.00 80.20 80.0027 80.00 80.17 80.00

27.5 80.00 80.15 80.0028 80.00 80.13 80.00

28.5 80.00 80.12 80.0029 80.00 80.10 80.00

1 29.5 80.00 80.09 80.0030 80.00 80.08 80.00

30.5 80.00 80.07 80.0031 80.00 80.06' 80.00

31.5 80.00 80.05 80.00

| 32 80.00 80.04 80.00!

32.5 80.00 - 80.04 80.0033 80.00 80.03 80.00

33.5 80.00 80.03 80.00i 34 80.00 80.02 80.00| 34.5 80.00 80.02 80.00l 35 80.00 80.02 80.00I 35.5 80.00 80.02 80.00

36 80.00 80.01 80.0036.5 80.00 80.01 80.00

37 80.00 80.01 80.0037.5 80.00 80.01 80.00

38 80.00 80.01 80.0038.5 80.00 80.01 80.00

39 80.00 80.00 80.0039 5 80.00 80.00 80.00

'

40 80.00 80.00 80.0040.5 80.00 80.00 80.00

41 80.00 80.00 80.0041.5 80.00 80.00 80.00

Attachment BHPCILEGXLS, Sheet 1 Page 2 C122-95-23.002. Rev. 0

. - _ - . - . .- . _ - . . _

Page 18: Dead Leg Heat Transfer Study.' · 2020. 5. 6. · CALCULATION COVER SHEET! TITLE Dead Leg Heat Transfer Study CLIENT NPPD - Cooper Nuclear Station PROJECT Generic Letter 95-C7 Support

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, HPCI Suppression Pool Suction Une Dead Leg HeatTransfer Study

42 80.00 80.00 80.0042.5 80.00 80.00 80.00

43 80.00 80.00 80.0043.5 80.00 80.00 80.00

44 80.00 80.00 80.0044.5 80.00 80.00 80.00,

; 45 80.00 80.00 80.0045.5 80.00 80.00 80.00

46 80.00 80.00 80TO'46.5 80.00 80.00 80.00

47 80.00 80.00 80.0047.5 80.00 80.00 80.00

48 80.00 80.00 80.0048.5 80.00 80.00 80.00

49 80.00 80.00 80.0049.5 80.00 80.00 80.00

50 80.00 80.00 80.0050.5 80.00 80.00 80.00

51 80.00 80.00 80.0051.5 80.00 80.00 80.00

52 80.00 80.00 80.0052.5 80.00 80.00 80.00

53 80.00 80.00 80.0053.5 80.00 80.00 80.00

54 80.00 80.00 80.0054.5 80.00 80.00 80.00

55 80.00. 80.00 80.0055.5 80.00 80.00 80.00

56 80.00 80.00 80.0056.5 80.00 80.00 80.00

57 80.00 80.00 80.0Ti

57.5 80.00 80.00 80.00

58 80.00 80.00 80.00_

58.5 80.00 80.00 80.00

59 80.00 80.00 80.00

_ 59.5 80.00 80.00 80.00

_60 80.00 80.00 80.00

60.5 80.00 80.00 80.00

61 80.00 80.00 80.00

61.5 80.00 80.00 80.00

62 80.00 80.00 80.00

62.5 00.00 80.00 80.00

63 80.00 80.00 80.00

63.5 80.00 80.00 80.004,

'

64 80.00 80.00 80.00

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64.5 80.00 80.00 80,00

| 65 80.00 80 00. 80.00

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Attachment BHPCILEGXLS, Sheet 1 Page 3 C122-95-23.002, Rev. O

Page 19: Dead Leg Heat Transfer Study.' · 2020. 5. 6. · CALCULATION COVER SHEET! TITLE Dead Leg Heat Transfer Study CLIENT NPPD - Cooper Nuclear Station PROJECT Generic Letter 95-C7 Support

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CALCULATION SHEET

ATTACHMENT C

RCIC STUDY TABULATED RESULTS

ERIN Calculation No. Attachment CC122-95-23.002, Rev. O #

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_ . . . . . _ _ _ . . . . . _ _ _ . _ _ _ _ . . . .

Page 20: Dead Leg Heat Transfer Study.' · 2020. 5. 6. · CALCULATION COVER SHEET! TITLE Dead Leg Heat Transfer Study CLIENT NPPD - Cooper Nuclear Station PROJECT Generic Letter 95-C7 Support

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RCIC Suppression Pool Suction Line Dead Leg Heat Transfer Study,

RCIC Suppression Pool Suction Line Dead Leg StudyOutput frorn DEAD-LEG. BAS

ITERATIONS 27 230 81TW: 140.0 140.0 140.0TI: 80.0 80.0 80.0D: 0.552 0.552 0.552 i

L: 49.0 49.0 49.0 {N: 98 98 98K- 0.378 31.20 5.368 '

CHK: 0.01 0.01 0.01Feet Water Steel Composite i

0 140.00 140.00 140.00 I0.5 93.08 128.69 116.82 i

1 83.50 119.72 103.221.5 81.10 112.56 95.01

2 80.39 106.82 89.912.5 80.16 102.19 86.68

;3 80.07 98.44 84.58 i

3.5 80.04 95.38 83.20 !4 80.01 92.88 82.26 '

4.5 80.01 90.82 81.635 80.00 89.12 81.18

5.5 80.01 87.71 80.876 80.00 86.54 80.64

6.5 80.01 85.56 80.48 !

7., 80.00 84.74 80.36 i

7.5' 80.01 84.04 80.288 80.00; 83.47 80.20 ;

8.5 80.00 82.97 80.16'

9 80.00 82.55 80.12 t

9.5 80.00 82.19 80.10 |10 80.00 81.89 80.07

'

10.5 80.00 81.62 80.06 1

11 80.00 81.40 80.04 I

11.5 80.00 81.20 80.0312 80.0M 81.04 80.02

12.5 80.00-

80.89 80.02_

13 80.00 80.77 80.0113.5 80.00 80.66 80.01

14 80.00T 80.57 80.0114.5 ___ _80.00

. _ 80.49 80.01_

_

15 80.00 80.42 80.0015.5 ~~80I00 s0.36 80.00

~~5II 80.00 80.31 80.00

Attachment CRCICLEG.XLS. Sheet 1 Page 1 C122-95-23.002. Rev. O

Page 21: Dead Leg Heat Transfer Study.' · 2020. 5. 6. · CALCULATION COVER SHEET! TITLE Dead Leg Heat Transfer Study CLIENT NPPD - Cooper Nuclear Station PROJECT Generic Letter 95-C7 Support

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RCIC Suppression Pool Suction Une Dead Leg Heat Transfer Study,

16.5 80.00 80.26 80.0017 80.00 80.23 80.00

17.5 80.00 80.19 80.0018 80.00 80.16 80.00

18.5 80.00 80.13 80.0019 80.00 80.12 80.00

'

19.5 80.00 80.10 80.0020 80.00 80.08 80.00

20.5 80.00 80.07 80.0021 80.00 80.06 80.00

21 5 . . . . . . . . . 80 00 . . . . .. . . . 80 05 . . . . . . . . 80.0 0. . . .................. . . .

22.5 80.00 80.03 80.0023 80.00 80.03 80.00

23.5 80.00 80.02 80.0024 80.00 80.02 80.00

24.5 80.00 80.01 80.0025 80.00 80.01 80.00

25.5 80.00 80.01 80.0026 80.00 80.01 80.00

26.5 80.00 80.01 80.0027 80.00 80.00 80.00

27.5 80.00 80.00 80.0028 80.00 80.00 80.00

28.5 80.00 80.00 80.00291 80.00 80.00 80.00

29.5 80.00 80.00 80.0030 80.00 80.00 80.00

30.5 80.00 80.00 80.0031 80.00 80.00 80.00

31.5 80.00 80.00 80.0032j 80.00 80.001 80.00

32.51 80.00 80.00; 80.00___

331 _80.00 80.001 80.0033.5 80.00 80.00I 80.00

34 80.00 80.00 [ 80.0034.5 80.00 80.00 80.00

-

35I~ 80.00 80.00 80.0035.5 80.00 80.00 80.00

36 80.00 80.00-

80.00~ I5 '80.00 80.00 80.0036

-

37[ 80.00 8Eif0f~ 80.0037.5 80.00 80.00i 80.00

38 80.00 80.00! _ _ _ 80.00_ _ _ _ _ _ _

Attachment CRCICLEG.XLS, Sheett Page 2 C122 95 23.002, Rev. O

Page 22: Dead Leg Heat Transfer Study.' · 2020. 5. 6. · CALCULATION COVER SHEET! TITLE Dead Leg Heat Transfer Study CLIENT NPPD - Cooper Nuclear Station PROJECT Generic Letter 95-C7 Support

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RCIC Suppression Poottuctiontine-Deadteg Heat Transie Study - - - ---,

|

39 80.00 80.00 80.00 )39.5 80.00 80.00 80.00

40 80.00 80.00 80.0040.5 80.00 80.00 80.00 l

41 80.00 80.00 80.00 t

41.5 80.00 80.00 80.00 I42 80.00 80.00 80.00

42.5 80.00 80.00 80.00 !43 80.00 80.00 80.00 |

| '

| 43.5 80.00 80.00 80.0044 80.00 80.00 80.00

| 44.5 80.00 80.00 80.00 l

45 80.00 80.00 80.0045.5 80.00 80.00 80.00

,

46 80.00 80.00 80.0046.5 80.00 80.00 80.00

47 80.00 80.00 80.0047.5 80.00 80.00 80.00

48 80.00 80.00 80.0048.5 80.00 80.00 80.00

49 80.00 80.00 80.00

|

I

i|J

I

!

I

|

|

Attachment CRCICLEG.XLS, Sheet 1 Page 3 C122-95-23.002. Rev. 0

|. _ _ . _ _ _ _ _ __