View source for ML17313B090

{{Adams
| number = ML17313B090
| issue date = 02/13/1996
| title = Rev 0 to Calculation of Bonnet Fluid Temp for MOV SI-604/609.
| author name = 
| author affiliation = ARIZONA PUBLIC SERVICE CO. (FORMERLY ARIZONA NUCLEAR
| addressee name = 
| addressee affiliation = 
| docket = 05000528, 05000529, 05000530
| license number = 
| contact person = 
| document report number = 13MC-SI-330, 13MC-SI-330-R00, NUDOCS 9910200197
| package number = ML17313B087
| document type = ARCHIVE RECORDS, OPERATIONS SUPPORT-CALCULATIONS
| page count = 18
}}

=Text=
{{#Wiki_filter:ENCLOSURE 4 PVNGS ENGINEERING CALCULATION 13-MC-S1-330, "CALCULATIONOF BONNET FLUID TEMPERATURE FOR MOV Sl-604/609" 99i0200i97 99i008 05000528 PDR  ADQCK T
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l Palo Verde Nuclear Generating Station                      CALCULATIONREVISION/TITLESHEET CALCULATION NO.                       REV. CLASS:                    AFFECIED SHEET NO(S) 13MC-SI-330                           0      q  P qAG      NqR   Q   All ISSUED CALCULATIONOF BONNET FLUID TEMPERATURE FOR MOV Sl-604/609                                                     ~//'//ci p PLANT CHANGE DOCUMENT                          REFERENCE(S)
N/A                                            NONE REASON FOR CHANCrE N/A DESCRIPTION OF CHANGE NEW CALCULATION N/A          N/A         N/A      N/A      N/A                       Nra            Nra 2//g/f g Second Party                                            Independent       Other         'Other pl r pa I e I  Rlt     Verification    htech       Civil     Idee. IAC    VeriFication (Specify OrS.) (Specify Ortt.)
Irate       DAte        Date          Date        Date     t)ate      Date      Date                         Date CROSS DISCIPLINE i&VIEW PV214-12EC (9/94)                  CALCULATIONS,81DP-4CC04, Rev. 7, Page 19 of 19                    Appendix D, Page       1 of 1

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CALCULATIONSHEET 13.MC-SI.330
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CALC TITLE MOV SI604/609 BONNET FLUID TEMPERATURE                  CALC NP SUBJECT                                                                       SHEET NP.
INDEPENDENT                                    INDEPENDENT REV      ORIGINATOR   DATE                  DATE REV    ORIGINATOR     DATE    VERIFICATION     DATE  Rev.
VERIFICATION Indi-J. A. BROWN   2/13/96     A. AMR      13/96                                                    cntoI
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TABLE OF CONTENTS I         PURPOSE II        

==SUMMARY==
OF RESULTS III       ASSUMPTIONS I V       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 TEMPERATURE                                         13.MC SI.330 LC. TITLF MOV SI604/609 BONNET FLUID                                                        NP SUBJECT                                                                                               SHEET NP.
INDEPENDENT                                                          INDEPENDENT REV     ORIGINATOR       DATE                      DATE REV      ORIGINATOR                DATE       VERIFICATION  DATE  Rev.
VERIFICATION Indi-J. A. BROWN       2/13/96     A. AMR          13/96                                                                 CQ(OI
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I   PURPOSE The purpose of this calculation is to evaluate the maximum bonnet fluid temperature in valves SIA-HV-604 and SIB-HV-609 during a LOCA and prior to opening. This calculation will be used to assess the potential of valve pressure locking.
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 will be used as input for evaluation of the potential for valve pres-sure locking. All input data and calculated values will be such that the final result will be 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).                                                                         488 Ibm/ft Specific Heat (68 F)                                              ....... 0.110 BTU/Ibm F Thermal Conductivity (212 F).                                                   10.0 BTU/hr ft F
: 3. Water data [Ref. 2]
Density (168 F).                                                                     . 61.1  Ibm/ft Specific Heat (168 F)                              ~~ ~ ~ ~~~~ ~~~~~~ ~~~~~~~ 1 e001 BTU/Ibm F Thermal Conductivity (168 F).                                              .0.385 BTU/hr ft F Viscosity (168 F)                                                               0.451 x 105 ft /s Prandtl Number (168     'F) .                                                                   2.5 Coefficient of Expansion                                                          295 x10+oF1
: 4. Valve bonnet water volume - (Calculated) [Ref. 7]                                                  0.25 ft
: 5. Maximum Auxiliary Building atmospheric temperature [Ref. 6].                                        104oF 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 FLUID TEMPERATURE                                        CA C NP         13-MC-SI-330 SUBJECT                                                                                                  SHEET NO.
      'RIGINATOR                       INDEPENDENT                                                        INDEPENDENT REV                         DATE      VERIFICATION        DATE REV          ORIGINATOR         DATE      VERIFICATION      DATE Rev.
Indi-J. A. BROWN         2/13/96       A. AMR             13/96                                                               ca!or VI CALCULATIONS DISC USSION-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                                                                                                  TO COLD LEG HpsI puMp 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 di scharge. Foiiowinrf a LOCA, the pump suction is re-aligned from the RWT to the containment sump.
Flow in 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 hours 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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CALCULATIONSHEET 13-MC-SI-330 CALC. TITLF MOV SI604l609 BONNET FLUID TEMPERATURE                                                CALC NO i'
SUBJECT                                                                                                        SHEET NO.
INDEPENDENT                                                                INDEPENDENT REV     ORIGINATOR         DATE                          DATE REV               ORIGINATOR            DATE      VERIFICATION  DATE  Rcv.
VERIFICATION Ind J. A. BROWN        2/13/96        A. AMR            13/96                                                                     cntor Tp
                                                                    ,";:;;'; Watir,;Voltiiiiie;;.';","  Area = 0.0668 ft TH--231 F                                                                               Tam = 104'F ho Stainless Steel Disk ho                                                                        hl Tp                                                                                          ~ Tw 2        03        4            06         6 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 of heat flow tlvough disk. as a function of the outside andinside film coefficients, h/and h> respectively. Heat loss from the water volume occurs only through the valve body along the downstream piping. The balance of the piping and valve body is assumed adiabatic. The bottom figure details the exploded view of the steel disk, assumed here to be 1.0 inches. Tw represents the bulk bonnet fluid temperature.
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 fluid through 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 flow in the HPSI injection line will tend 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 13-MC-Sl-330 ALC. TITLF MOV SI604/609 BONNET FLUID TEMPERATURE                              CALO NO SUBJECT                                                                                  SHEET NO.
INDEPENDENT                                             INDEPENDENT REV     ORIGINATOR      DATE                       DATE REV         ORIGINATOR     DATE  VERIFICATION  DATE  Rev VERIFICATION Indi J. A. BROWN      2/13/96     A. AMR           13/96                                                    Cnlof develop. The length of branch pipe over which natural convection will occur 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 will develop. 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 fluid and the ambient temperatures, respectively. Applying this relationship. the fluid temperature at the up-stream side of the valve is 231    1 04 05I'0    (x/DI which results in an up-stream fluid temperature at the valve of 168           F.
NATURAL CON VEC TION HEAT TRANSFER COEFFICIEN TS-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 CALO TITLE MOV SI604/609 BONNET FLUID TEMPFRATURE                            @ALE NQ     13-MC-SI-330
".p UBJECT                                                                                  SHEET NO.
INDEPENDENT                                          INDEPENDENT REV       ORIGINATOR       DATE     VERIFICATION  DATE REV         ORIGINATOR    DATE    VERIFICATION     DATE  Rev.
Indi-J. A. BROWN       2/13/96     A. AMR        13/96                                                       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).
TRANSIENT MODEL-The model depicted in Figure 2 has been reduced to the following finite difference equations:
NODE    1 hx ApCp
( ~i      ~1)
                                                                          = hoA(Tp- T1) + kA (T2- 71)
                                                                          = kA (~g             kA 2- 6                        ( YN      ~iv)
NODES                        dxAp Cp                                7N) +             ~N) b,t         d,x      1 d,x (~N+1 Tj)
NODE 7                       ApCp hx P
( Tj gf
                                                                          = hiA(7w i
kA 7 + g~ (T6 W 77)          6  Tj)
(7'w'    Tw)
WATER MASS                     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 FLUID TEMPERATURE                    CALO NP    13 MC-SI-330 UBJECT                                                                                SHEET NO.
INDEPENDENT                                       INDEPENDENT REV       ORIGINATOR        DATE      VERIFICATION    DATE REV    ORIGINATOR    DATE    VERIFICATION      DATE Rcv.
Indi-
   )
J. A. BROWN        2/$ 3/96     A. AMR         I3/96                                                   cntor Vll REFERENCES 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 of Temperature 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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