ML17313B090
| ML17313B090 | |
| Person / Time | |
|---|---|
| Site: | Palo Verde  |
| Issue date: | 02/13/1996 |
| From: | ARIZONA PUBLIC SERVICE CO. (FORMERLY ARIZONA NUCLEAR |
| To: | |
| Shared Package | |
| ML17313B087 | List: |
| References | |
| 13MC-SI-330, 13MC-SI-330-R00, NUDOCS 9910200197 | |
| Download: ML17313B090 (18) | |
Text
ENCLOSURE 4 PVNGS ENGINEERING CALCULATION 13-MC-S1-330, "CALCULATIONOF BONNET FLUID TEMPERATURE FOR MOV Sl-604/609" 99i0200i97 99i008 PDR ADQCK 05000528 T
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Palo Verde Nuclear Generating Station CALCULATIONREVISION/TITLESHEET CALCULATION NO.
13MC-SI-330 REV.
0 CLASS:
AFFECIED SHEET NO(S) q P qAG NqR Q All ISSUED CALCULATIONOF BONNET FLUIDTEMPERATURE FOR MOV Sl-604/609
~//'//cip PLANTCHANGEDOCUMENT N/A REFERENCE(S)
NONE REASON FOR CHANCrE N/A DESCRIPTION OF CHANGE NEW CALCULATION N/A N/A N/A N/A N/A Nra Nra plrpa Ie I Irate Rlt DAte Second Party Verification Date htech Date Civil Date Idee.
t)ate IAC Date 2//g/fg Independent VeriFication Date Other (Specify OrS.)
'Other (Specify Ortt.)
Date PV214-12EC (9/94)
CROSS DISCIPLINE i&VIEW CALCULATIONS,81DP-4CC04, Rev. 7, Page 19 of 19 Appendix D, Page 1 of 1
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CALCULATIONSHEET
~
CALC TITLE MOV SI604/609 BONNET FLUIDTEMPERATURE CALC NP 13.MC-SI.330 SUBJECT SHEET NP.
REV ORIGINATOR
)
J. A. BROWN DATE 2/13/96 INDEPENDENT VERIFICATION A. AMR DATE REV ORIGINATOR 13/96 DATE INDEPENDENT VERIFICATION DATE Rev.
Indi-cntoI TABLEOF CONTENTS I
PURPOSE II
SUMMARY
OF RESULTS III ASSUMPTIONS IV CRITERIA.
V INPUT DATA.
VI CALCULATIONS Vll REFERENCES CALCULATIONS,81DP-4CC04, Rev. 7, Page 18 of 19 Appendix C, Page 1 of 1
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CALCULATIONSHEET LC. TITLF MOV SI604/609 BONNET FLUIDTEMPERATURE NP 13.MC SI.330 SUBJECT SHEET NP.
REV ORIGINATOR DATE
)
J. A. BROWN 2/13/96 INDEPENDENT VERIFICATION A. AMR DATE REV 13/96 ORIGINATOR DATE INDEPENDENT VERIFICATION DATE Rev.
Indi-CQ(OI I
PURPOSE II
SUMMARY
OF RESULTS The maximum steady state bonnet fluid temperature has been calculated to be 119.8 F.
III ASSUMPTIONS
- 1. Assume that the sump fluid temperature does not decrease from the sump and that the maximum sump temperature following a LOCA conservatively remains constant.
- 2. The valve piping and body are assumed adiabatic to maximize the final bulk fluid temperature.
IV CRITERIA The objective is to predict a conservative value for the maximum bonnet fluid temperature. There are no specific criteria since these results willbe used as input forevaluation of the potential forvalve pres-sure locking. Allinput data and calculated values willbe such that the final result willbe conservatively high.
V INPUT DATA
- 1. Sump fluid temperature equals a maximum of 231 F [Ref. 6].
- 2. Stainless Steel data [Ref. 2]
Density (68'F).
Specific Heat (68 F)
Thermal Conductivity (212 F).
- 3. Water data [Ref. 2]
Density (168 F).
Specific Heat (168 F)
Thermal Conductivity (168 F).
Viscosity (168 F)
Prandtl Number (168 'F).
Coefficient of Expansion 4.
Valve bonnet water volume - (Calculated) [Ref. 7]
- 5. Maximum Auxiliary Building atmospheric temperature [Ref. 6].
488 Ibm/ft
....... 0.110 BTU/Ibm F
10.0 BTU/hr ft F
. 61.1 Ibm/ft
~ ~
~ ~
~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ 1 e001 BTU/Ibm F
.0.385 BTU/hr ft F
0.451 x 105 ft /s 2.5 295 x10+oF1 0.25 ft 104oF The purpose of this calculation is to evaluate the maximum bonnet fluidtemperature in valves SIA-HV-604 and SIB-HV-609 during a LOCA and prior to opening. This calculation willbe used to assess the potential of valve pressure locking.
CALCULATIONS,81DP-4CC04, Rev. 7, Page 18 of 19 Appendix C, Page 1 of 1
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CALCULATIONSHEET QALQ TITLE MOV SI604/609 BONNET FLUIDTEMPERATURE CA C NP 13-MC-SI-330 SUBJECT SHEET NO.
REV 'RIGINATOR J. A. BROWN DATE 2/13/96 INDEPENDENT VERIFICATION A. AMR DATE REV 13/96 ORIGINATOR DATE INDEPENDENT VERIFICATION DATE Rev.
Indi-ca!or VI CALCULATIONS DISCUSSION-The problem geometry is described in Figure 1. The objective is to assess the (bulk) temperature of the bonnet fluid of valves HV-604/HV-609, identified as Tw.
FROM HpsI puMp TO COLD LEG SIA-HVW04/
SIB-HV%09 0
TO HOT LEG 6 6 W
3" Schedule 160 (ID=2.624 In)
FIGURE 1 - The hot leginjection line branches from the HPSI discharge line immediately downstream of the pump discharge. Foiiowinrfa LOCA, the pump suction is re-aligned from the RWTto the containment sump.
Flowin the cold-leg Injection line, excluding heat loss along the suction piping, results in a temperature (Tg) equal to that of the fluidin the sump. The hot-leginjection isolation valves, SIA-HV604 and SIB-HV60g are opened no later than 3 hours3.472222e-5 days <br />8.333333e-4 hours <br />4.960317e-6 weeks <br />1.1415e-6 months <br /> after the event.
The temperature of the bonnet fluid is a function of the conditions in the upstream piping and the heat transfer properties at the valve. Typical analyses consider the upstream fluid to be stagnant and the principle mode of energy transfer to be conduction. However, recent analyses and experimental work (Refs. 3, 4, and 5 and references contained therein] have identified that density gradients established in pipes, as a result of end temperature differences, generate natural convection cells which result in higher axial temperatures as compared to that resulting from conduction alone. Furthermore, the time scales associated with natural convection is much smaller than that for conduction; thus, the profiles are more readily established.
Analysis of the bonnet fluid temperature thus becomes dependent on the model of the valve subjected to these conditions. Figure 2 defines the model.
CALCULATIONS,81DP-4CC04, Rev. 7, Page 18 of 19 Appendix C, Page 1 of 1
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INDEPENDENT VERIFICATION INDEPENDENT VERIFICATION DATE ORIGINATOR REV DATE DATE ORIGINATOR REV J. A. BROWN 2/13/96 A. AMR 13/96 CALCULATIONSHEET CALC. TITLF MOV SI604l609 BONNET FLUIDTEMPERATURE CALC NO 13-MC-SI-330 i'
SUBJECT SHEET NO.
DATE Rcv.
Ind cntor TH--231 F Tp ho
,";:;;'; Watir,;Voltiiiiie;;.';","
Area = 0.0668 ft Tam = 104'F Stainless Steel Disk Tp ho 2
03 4
06 6
hl
~ Tw k= 10.0 BTU/hr-ft-F FIGURE2 - The problem is modeled as a one-dimensional fin with an effective upstream temperature of Tp imposed on the upstream face of the valve disk. Heating of the water volume occurs as a result ofheat flow tlvough disk. as a function ofthe outside andinside filmcoefficients, h/and h> respectively. Heat loss from the water volume occurs only through the valve body along the downstream piping. The balance ofthe piping and valve body is assumed adiabatic. The bottom figure details the exploded view ofthe steel disk, assumed here to be 1.0 inches. Tw represents the bulk bonnet fluidtemperature.
The bonnet fluid is idealized as a control volume with one dimensional heat flow in through the up-stream piping and heat loss through the downstream piping. Heat transfer from the piping fluidthrough the valve body wall is approximated by assuming that conduction occurs over a one inch stainless steel slab, typical of the physical dimensions of this style valve, with natural convective heat transfer on either side. The upstream piping and valve body are conservatively assumed adiabatic. Heat loss to the discharge side of the valve is assumed relative to fluid temperatures equal to the maximum pump room temperatures during a LOCA.
The model is completed by assessing the upstream fluid temperature and estimating the heat transfer coefficients. The one dimensional transient model is solved by a finite element approach.
EVALUATIONOF THE UPSTREAM FLUID TEMPERATURE-The presence of turbulence induced by flowin the HPSI injection line willtend to cause localized fluid motion along the branch line within a distance from the tee. This promotes the hotter main branch fluid within the branch line, thus transposing the boundary condition. Turbulence induced by flow in the main header pipe has been shown to exist up to 15 diameters along the branch pipe for similar condi-tions [Ref. 5]. Beyond this distance, the fluid is relatively stagnant and a natural convective cell may CALCULATIONS,81DP-4CC04, Rev. 7, Page 18 of 19 Appendix C, Page 1 of 1
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CALCULATIONSHEET ALC. TITLF MOV SI604/609 BONNET FLUIDTEMPERATURE CALO NO 13-MC-Sl-330 SUBJECT SHEET NO.
REV ORIGINATOR DATE J. A. BROWN 2/13/96 INDEPENDENT VERIFICATION A. AMR DATE REV 13/96 ORIGINATOR DATE INDEPENDENT VERIFICATION DATE Rev Indi Cnlof develop. The length of branch pipe over which natural convection willoccur is the pipe length from tee to valve minus 15 diameters (3.3 feet) or 4.2 feet.
Within this quasi-stagnant portion of the piping, natural convection currents willdevelop. Reference 4 provides an analytic assessment of the temperature profiles for this configuration. These analyses, supported by data, suggest that the fluid temperature decays to approximately one-half the absolute dierence of the end temperatures, at a length corresponding to 20 pipe diameters; TH T
0'5 l20 (x/DI H
C where TH and Tc are the up-stream hot fluidand the ambient temperatures, respectively. Applyingthis relationship. the fluid temperature at the up-stream side of the valve is 05I 231 1 04
'0 (x/DI which results in an up-stream fluid temperature at the valve of 168 F.
NATURALCONVECTION HEATTRANSFER COEFFICIENTS-The heat transfer coefficient between the metal and water is due to natural convection and can be ob-tained from Reference 1for vertical plates and cylinders as follows.
h,. = 0.555( ) (GrPr)
'here:
K= Thermal conductivity of water, BTU/hr F ft = o.385 at 160oF L= Vertical length of bonnet ft = 0.50 ft The Grashoff number is defined as follows [Ref. 1]
CALCULATIONS,81DP-4CC04, Rev. 7, Page 18 of 19 Appendix C, Page 1 of 1
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A CALCULATIONSHEET
".p CALO TITLE MOV SI604/609 BONNET FLUIDTEMPFRATURE
@ALE NQ 13-MC-SI-330 UBJECT SHEET NO.
REV ORIGINATOR
)
J. A. BROWN DATE 2/13/96 INDEPENDENT VERIFICATION A. AMR DATE REV 13/96 ORIGINATOR DATE INDEPENDENT VERIFICATION DATE Rev.
Indi-cator gp (TH-Tc) L Gr-v2 Substituting and solving for a temperature difference of 100 F yields Gr equal to 4.68 x 10
. The con-
- vective heat transfer coefficient is 55.5 Btu/hr F ft2. This value is assumed applicable to both the fluid/
metal interfaces on both sides of the valve gate (i.e. model slab).
TRANSIENTMODEL-The model depicted in Figure 2 has been reduced to the following finite difference equations:
NODE 1 ApCp
= hoA(Tp-T1) +(T2-71) hx
( ~i
~1) kA NODES 2-6
( YN
~iv) kA kA dxAp Cp
=
(~g 1
7N) +
(~N+1
~N) b,t d,x d,x NODE 7 ApCp
= hiA(7w
- 77) +
(T6 Tj) hx
( Tj Tj) kA P
gf i
W 7
g~
6 WATER MASS (7'w' Tw)
WpWCPW i
(
7 W) i
(. atm W)
RESULTS-The model, defined above and with substitution of the calculated values for the convective heat trans-fer coefficient, yields a steady state bonnet fluid temperature of 119.8 F and attains this value within 20 minutes of the time the hot upstream fluid reaches the valve disk.
CALCULATIONS,81DP-4CC04, Rev. 7, Page 18 of 19 Appendix C, Page 1 of 1
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CALCULATIONSHEET
'ALC TITLF MOV SI604/609 BONNET FLUIDTEMPERATURE CALO NP 13 MC-SI-330 UBJECT SHEET NO.
REV ORIGINATOR
)
J. A. BROWN DATE 2/$ 3/96 INDEPENDENT VERIFICATION A. AMR DATE REV I3/96 ORIGINATOR DATE INDEPENDENT VERIFICATION DATE Rcv.
Indi-cntor VllREFERENCES 1.... Incropera, F. P., and Dewitt, D. P., Fundamentals of Heat and Mass Transfer, 3rd ed., Wiley.
2.... Welty, J. R., Wicks, C. E., and Wilson, R. E., Fundamentals of Momentum, Heat, and Mass Trans-fer, 3rd ed., Wiley.
3.... Combustion Engineering Report CE NPSD-915, "Prediction ofTemperature in the Safety Injection Lines Subject to Thermal Stratification due to Natural Convection - Final Methodology," GEOG Task 741. December 1993.
4.... Combustion Engineering Report CE NPSD-907, "Temperatures ln the Safety Injection Lines Due to Thermal Stratification - Final Technical Basis," May, 1993.
5.... Combustion Engineering Report CE NPSD-979, "Thermal Stratification in the Shutdown Cooling Piping - Final Report," January, 1995.
6.... PVNGS Equipment Qualification Program Manual, Revision 5.
7.... PVNGS SDOC N001-11.04-27, Rev. 17, Model 77910 Valve Details.
CALCULATIONS,81DP-4CC04, Rev. 7, Page 18 of 19 Appendix C, Page 1 of 1
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