Text

Rev 0 to IP-M-0556, Temp Decay in Stagnant Lines (Including HPCS & RCIC Suppression Pool Suction Lines)
	ML20211G558
Person / Time
Site:	Clinton
Issue date:	06/15/1999
From:	Halverson E; ILLINOIS POWER CO.
To:	;
Shared Package
ML20211G544	List: ML20211G558; ML20211G566; U-603229, Provides Response to NRC RAI Re GL 95-07, Pressure Locking & Thermal Binding of Safety-Related Power-Operated Gate Valves, Dtd 990528.Rev 0 to Calculation IP-M-0556 & Rev 0 to Calculation IP-M-0570,encl;
References
	GL-95-07, IP-M-0556, IP-M-0556-R00, NUDOCS 9908310286
	Download: ML20211G558 (22)
	v • d • e

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Attachment 3 to U403229 Calculation IP-M-0556 I

9908310286 990825 PDR ADOCK 05000461 P PDR

Ea y, Attachment 3

.- , to U-603229

' CALCULATION COVER SHEET Page j of y _

M NSED IP-M-0556 00 - -

DEPT DIV CALCULATION NO REVISION ADDENDUM VOLUME TITLE:, Temperature _ Decay _inEtagnant. Lines..(including HPCS and.RCIC_ Suppression PooLSuction. Lines)

SIGNATURE BLOCK QUALITY CORP PREPARED THIS CALC:lip PREPARED BY Eric_Halversort RELATED- YES _ NO ]

CONFIRMATION REOUIRED PRINT 4 A YES/NO: Ino I PAGE NO(SP ! !CONFTRMFD-05 /19./99_ ~

DATE SIGNAWRE Field Work To Be Perforrned Per ECN Listed Below ECN NO RFO DATE CID UPDATED CHECKED BY -

PRINT

__ /_ _ / _ . . . _ . _ _ _ _ .

DATE SIGNATURE REVIEWED BY h [

_/_0_/_U d . [n . ECN's listed above shall include " Volume Report" ss Affected Documents.

DATE Q Q gG g PRE t

. , - , - ru t_e r READY FOR INCORPORATION APPROVED BY _d829 YES/NO/(N/A): lna l ASSIGNED TO: l l DATE RFI: l

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g g COMMENTS: Support response to G. L. 95-07.

5TE / 'Sf6 NATURE l OWNER'$ REVIEiV NON-IP Calf REVIEWED BY N/A g PRINT A

8,

_ /_ /_ ~~

DATE SIGNATURE h

CALCULATION BATCH LIST sJ (May use computer print out and stuch it with cover sheet or specify it's location if provided elsewhere in the calculation.)

IS TIIIS A PARENT CALC: YES NO b h LL.

DEPENDENT CALCULATIONS (Enter either a Parent. Revision. Alias. Addendum or Volume in the relationship column) Z

RELATIONSHIP DEPT DJ1V, CALCULATION NO EEy ADD VO_Ila BEFORE AFTER r

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IMPACTED CALCULATIONS (Enter either an Input. Output. Supplements. or Supersedes in the relationship column)

STATUS RELATIONSHIP DEFT pIV, CALCULATION NO Q _ A,D_D} _ LyO_BEFORE__AFTER Input IP-M-0384 01 .a _ _ a __ _

REFERENCED CALCULATlONS (Not included as Dependent or impacted Calculations. Enter Referenced in the relat5nship column)

RELATIONSHIP ,

DEFf _ plV _ ___

CALCULATION NO _ _ ADD, _ REV XO,L

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CALCULATION COhER SHEET (continued) Page 2 of _ty__

M NSED IP-M-0556 00 DEPT DIV CALCULATION NO REVISION ADDENDUM VOLUME System Code (s) (or NA): RLHP eLak Equipment Identification No. (EINs) (or NA): NA.

Support Number (s) (or NA): NA Iacation (Bldg /Elev/ Area (or NA): NA Historic / Temporary: Yes l l NA[ Microfiche Attached: Yes l l No[ Topic Code: l M90 l NON-CALC INPUTS / OUTPUTS / REFERENCES (Specify the Location. if provided elsewhere in the calculation)

(Identify in Relationship Column)

DOC DOC SHT ' REV Relation-

TYPE NO NO NO DATE DESCRIPTION ggfgg) book See Desertn Holman, Hest Transfer, McGraw-Hill,1981 I dwg See Desertn Analytical Dwg.1RIO5 & 6 1 dwg See Desertn ISOs: HP-1, R/7U & HP-2, R/10L, Rl-7, R/10N I SAR See Desertn USAR Section 9.2.6.2 I Std See Desertn S&L Standard MES-7.1, R/8 I SAR See Desertn CPS USAR Figure 6.2-15 I criteria Sea Desertn DC-ME-09-CP including ECN 27799 I paper See Desertn Crane 410,24th ed I spc sht. See Desertn Schuller Specification Sheet Cl-130,8-96 I spc sht. See Descrtn Schuller Specification Sheet Cl-132,10-95 I Std See Descrtn S&L Standard MES-7.1, R/8 I k

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REVISION HISTORY l Page 3 Of _1L M. NSED__ IP_-M:0556 00 DEIT pgy . CALCULATION NO REVISION ADDENDUM VOLUME I

REVISION OBJECTIVE: See Page_5 _

l l

l WHAT INITIATED CHANGE: NBC3FI l

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2 AFFECTED PAGES: All 9 5:

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z Note: Preparer provide explicit instructions for volume / Addendum Calculations to be incorporated using

" Administrative Revisions".

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a IP-M-0556, R/00 M/NSED Page 4 or is TABLE OF CONTENTS

.Pagg NF-161.01 1-3 Table of Contents 4 Objective 5 Methodology 5 References 6 Inputs & Assumptions 7 Analysis 8-12 Results/Conlusion 12 l

Attachments:

Excel Spreadsheet Output 9 Pages l

1 9

r

.u e' ,

a IP-M-0556, R/00 M/NSED Page 5 of a Obiective: .

Establish a method for determining the steady state temperature profile in stagnant uninsulated lines emanating for hot equipment or other heat source. Develop a family of curves to determine temperature decay in stagnant horizontal piping runs'. Evaluate temperature decay in the HPCS 2

& RCIC suction lines off the Suppression Pool at approximately ~ l hour post accident . The decay curves associated with RCIC and HPCS will be used to resolve generic letter 95-07 concerns associated with thermally induced pressure locking of the HPCS and RCIC suppression pool suction valves due to conduction of heat from the suppression pool via the suction piping.

Methodolory:

Model: Pipe is modeled as semi-infinite compositefin with isothermal source.

dq, Heat qx ,

M qx+dx Source ;

)

. . .a dx Where, 1 4

' 4x = 9,+s + dq, q" = -KA dT dx l 4

i 9,+s = q, + g * .dx I

' A rule of thumb often quoted is that temperature will decay to near ambient at 10 pipe diameters.

Approximate time when pump suction will transfer from RCIC tank to the Suppression pool, a

. . ,M 2, , ...

IP-M-0556, R/00 M/NSED Page 6 of /p dT q,+s = -KA d ' KA dT' dx dr dx < dx) dq, = UPdx (T,- TJ Now substituting q,+6 and dq,into the equation for q, yields:

dT*

-KA , - UP(T, - T.) = 0 2

Setting, O = T, - T, and m = UP and substituting into the differential equation yields:

d*O

- m 2O = 0; dx' The general solution of this differential equation is: 0 = iC e" + 2C c-". Solving for the boundary conditions of X = 0 & X = m (Input 4) gives:

Ox _ Tx - T, _ . ,

Bo To - T,

References:

1. Not used

2. Holman, J. P., Heat Transfer, McGraw-Hill,1981

3. Analytical Dwg. IRIO5 & 6

4. ISOs: HP-1, R/7U & HP-2, R/10L, RI-7, R/10N .

5. USAR Section 9.2.6.2

6. IP-M-0384, R/l

7. CPS USAR Figure 6.2-15

8. DC-ME-09-CP, R/10 (including ECN 27799) -

~ 9. Crane 410,24th ed.

10. Schuller Specification Sheet CI-130,8-96

11. Schuller Specification Sheet CI-132,10-95

12. S&L Standard MES-7.1, R/8

1

) i l .~

IP-M-0556, R/00 M/NSED Page 7 of 13 Innuts & Assumptions:

1. Heat loss due to radiation is small relative to convection loss. Radiation will not be considered. This is conservative since it will result in greater calculated length for temperature to decay to ambient.

I 2.' Conduction of heat axially through water or insulation is negligible compared to conduction through the metal pipe. The fin will be assumed to be a solid piece of metal which is conservative.

3. The RCIC and HPCS suction lines run horizontally from the suppression pool. They are not insulated (reference HP and RI line list). The distance between the suppression pool and the ]

RCIC suction valve (1E51-F031) is ~7.5' (reference 3). The distance between the suppression pool and the HPCS suction valve (IE22-F015) is ~11.5' (reference 4). The highest suppression pool heat-up rate (i.e. the worst case for thermally induced pressure locking) occurs under a high demand / low pressure scenario (i.e., LOCA) due to the rapid transfer of energy from the reactor core to the suppression pool. Under a high demand / low pressure scenario HPCS/RCIC would deplete the RCIC tank and switch to suppression pool suction in less than I hour (125,000 gallon RCIC tank, Reference 5, ~5500 gpm HPCS, ~625 gpm RCIC, Reference 6). Significant suppression pool temperatures (>150 F) do not occur until ~ 1 hour1.157407e-5 days <br />2.777778e-4 hours <br />1.653439e-6 weeks <br />3.805e-7 months <br /> (3600 seconds) after the start of the event (Reference 7). A heat source temperature of 150 F will be used. This is conservative since under this scenario the HPCS/RCIC would have swapped suction to the suppression pool before the pool reached 150 F. The area temperature of HPCS and RCIC would be ~138 F and ~122 F (Reference

8) at I hour after start of the event. For convenience 122 F will be used as the ambient temperature for both cases. This will be conservative for HPCS since it will take longer to approach an ambient of 122 F than 138 F due to the larger AT between 150 F and 122 F.

4. The model that will be used to determine the temperature profile will be a long fin with temperature at the end of the fin essentially that of the surrounding area (i.e., at X = 0, Tx= T o& at X = m, T, = T.,

5. Thermal resistance (i.e. conduction through the metal) radially out of the piping is negligible.

Convection and conduction through insulation are the limiting thermal resistance parameters.

6. The thermal resistance (k) of fiberglass and calcium silicate range from ~.25 to ~.6 BTU /in.

2 2

/hr ft F between 100 F and 500 F (reference 10 & 11). Use the average of.43 BTU /in./hr ft l F. Thickness can range to ~2" for piping at 500 F( reference 12). The average k would 2

therfore be ((.25 + .6)/2] / 2" = .22 BTU / hr ft p,

'I

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IP-M-0556, R/00 M/NSED Page 8 or (3 Analysis: ,

l Calculation ofPhysical Properties: ,

Axial heat conduction down the pipe, neglecting conduction through water (Assumption 2), with area based on outside diameter (do) is:

KA = k, A, where A, = Ax:

2 A; = nldo Gross heat transfer from pipe, Q = UAAT = UA (Tx - T.)

l T. l Q l

[ T, Considering heat transfer through pipe and to the environment (neglecting radial conduction )

through the fluid / pipe wall):

q = UA (T, - T.) = UP (T x - T.)d, = hP xd (Tx - T.) = hndo x[d (Tx - T.)] !

l UP = hndo For laminar flow (conservative), with air at moderate temperatures and atmospheric pressure, the -

equation to calculate h may be simplified to:

2o h = 1.32 [ AT/d]* ,in W/m C (reference 2, page 285) l 2

Converting to BTU /hr ft F by multiplying by the conversion factor of.1761 (reference 2) gives us:

3 1 IP-M-0556, R/00 M/NSED Page 9 of t)

T' -- T*

N h = 0.23

. do _

Summary of equations for an uninsulated line: The temperature at a point away from a heat source in a non-flowing uninsulated line is given by:

T, = (To - T.) e * + T. (1) 2-m = UP/KA; where (2)

UP = hndo h = .23 [(Tx -T.)/do]a25 KA= '(k,[d,'f ks = 22 BTU /hr ff*F Ref. 2, pg 10 These equations can now be used to calculate temperature at distances from the heat source for

- various size piping using Excel. Since h changes with DT the variables to determine m will be

- determined at each point (iteratively) with h based on the previous point temperature difference'.

Curves will be developed for 3/4" pipe with heat sources at 150*F and 500*F. For 6" and 20"

pipe only one curve at 150*F will be developed (to represent RCIC & HPCS)*. The associated outside diameters for these line are 1.05",6.625" and 20"(reference Crane 410). The spreadsheet output, temperature vs distance, is included as attachment I to this calculation. The associated curves based on diameters from heat source are as follows:

' This will introduce a small amount of error. This error will approach zero as the incremental distance dx is made infinitely small. A sufTiciently small dx was chosen to rendor the affect of this simplification insignificant.

Due to its higher surface area the curves for large pipe are enveloped by the smaller pipe.

1 i

l

a o s

'.e-IP-M-0556, R/00 M/NSED Page lo or e r r

Temperature vs Pipe Diameters From Heat Source For 3/4" Line 150 l

145) 140i ,

i 135j 130 - -

125-120 ,

0 1 2 3 4 5 6 7 8 9 10 Pipe Diametors

( ..

Temperature vs Pipe Diameters From Heat Source For 3/4" Line 500 460 -l 4204 380l 340 l 300-g 260-

220j 180 140 1 100 b-0 1 2 3 4 5 6 7 8 9 10 Pipe Diameters

! +

IP-M-0556, R/00 M/NSED Page 11 of i>

Temperature vs Pipe Diameters From Heat Source For Uninsulated 6"(RCIC) Line 150-145-140-135 -

E s 130-125 3

120 0 1 2 3 4 5 6 7 8 9 10 Pipe Diameters Temperature vs Pipe Diameters From Heat Source For i Uninsulated 20"(HPCS) Line 150 145 -

2 3

140-135 - I E 1 s 130-125j 120 - , ,

0 1 2 3 4 5 6 7 8 9 10 Pipe Diameters I

I

a IP-M-0556, R/00 M/NSED Page 12 of IJ For an insulated line U would need to be adjusted for the affect ofinsulation. Neglecting all but convection and insulation thermal resistance and simplifying by considering overall heat transfer as through a wall.2 ,

1 U=

AX

+

o k, Where, AX = insulation thickness = t i k i = insulation thermal resistance ho = .23 AT" /do i" doi = do + ti UP = undoi These equations can now be used to calculate temperature at distances from the heat source for various size piping using Excel. Note that since h is a function of AT, it decreases as the pipe temperature decreases. This affects the decay coefficient m. The variables to determine m will therfore be determined at each point. The variable h Will be based on the previous point 5

temperature . For consistancy 122 F will be used as ambient. For insulated lines one case for 6

3/4" lines at 500 F will be developed as follows:

Although not entirely accurate this approach is good enough for this calculation. Overall results remain conservative.

' This will introduce a small amount of error. This error will approach zero as the incremental distance dx is made infinitely small. If dx is small enough the error is negligible. A sufficiently small dx was chosen to rendor the affect of this simplification insignificant.

' Do to the larger convection surface area oflarge lines the curve developed for 3/4" will be enveloping.

.\ 1 i

IP-M-0556, R/00 M/NSED Page 13 of e I

Temperature vs Pipe Diameters From Heat Source For Small(3/4") Insulated Line 1 500 450)

- 1 !

350-3m ]

250 - 1 F 200 - l 150-100 + .

0 5 10 15 20 25 Pipe Diameters Results/

Conclusion:

The results are as shown above. In general, small diameter (3/4"), stagnant, uninsulated piping connected to a heat source will be near ambient within 10 pipe diameters distance from the heat source. Larger diamter lines (such as RCIC and HPCS) will be near ambient within 5 diameters distance from the heat source (due to greater surface area). Small diameter, stagnant, insulated piping will be near ambient within 25 pipe diameters.

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