ML093360325

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Calculation, 0800368.311, Rev. 0, Design Loads for the 28 I.D. Reactor Coolant Pump (RCP) Suction and Discharge Nozzles.
ML093360325
Person / Time
Site: Davis Besse Cleveland Electric icon.png
Issue date: 04/08/2009
From: Ananth R, Sadeghi N
FirstEnergy Nuclear Operating Co, Structural Integrity Associates
To:
Office of Nuclear Reactor Regulation
References
L-09-268, TAC ME0477, TAC ME0478 0800368.311, Rev 0
Download: ML093360325 (9)


Text

Structural Integrity Associates, Inc. File No.: 0800368.311 CALCULATION PACKAGE Project No.: 0800368 Z Q -' Non-Q PROJECT NAME: Davis Besse Phase 2 Alloy 600 CONTRACT NO.: 49151, Rev. 1 CLIENT: PLANT: Welding Services Inc- (WSI) Davis-Besse Nuclear Power Station, Unit I CALCULATION TITLE: Design Loads for the 28" I.D. Reactor Coolant Pump (RCP) Suction and Discharge Nozzles Document Affected Project Manager Preparer(s)

&Revision Pages Revision Description Approval Checker(s)

Signature

& Date Signatures

& Date 0 1-9 Original Issue Z 5 Computer Files 5 Richard L. Ba Nader Sadeghi RLB 4/!/2009 N 4/8/2009 Raju Ananth RA 4/8/2009 Page 1 of 9 F0306-01 RO A Structural Integrity Associates, Inc.Table of Contents 1.0 2.0 3.0 4.0 5.0 6.0 OBJECTIVE

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3 M ETHODOLOGY

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3 DESIGN INPUTS .........................................................................................................................

4 CALCULATION S ........................................................................................................................

7 RESULTS OF ANALYSIS ......................................................................................................

8 REFEREN CES .............................................................................................................................

8 List of Tables Table 1: Transients

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5 Table 2: Bounding Piping Interface Loads for RCP Suction Nozzle ...............................................

6 Table 3: Bounding Piping Interface Loads for RCP Discharge Nozzle ..........................................

6 Table 4: Properties of Liquid W ater ...............................................................................................

7 Table 5: Bounding Transients for Analysis ......................................................................................

8 File No.: 0800368.311 Revision:

0 Page 2 of 9 F0306-O1RO Structural Integrity Associates, Inc.1.0 OBJECTIVE A weld overlay repair is being designed for the 28" I.D. Suction Reactor Coolant Pump (RCP)nozzle-to-elbow weld and the 28" I.D. Discharge RCP safe end-to-elbow weld at the Davis-Besse Nuclear Power Station, Unit 1. The purpose of this calculation package is to determine the loading conditions that are applied to these locations, including piping interface loads, pressure, and thermal transients.

2.0 METHODOLOGY

The loading developed herein will be used to perform stress and fatigue usage analysis in accordance with Figure NB-3222-1 of Section III of the ASME Code [1], as well as crack growth analysis.Piping interface loads are tabulated for deadweight, thermal expansion, and seismic events. Thermal transients are also tabulated, and heat transfer coefficients are calculated as described below.2.1 Internal Heat Transfer Coefficients, Forced Convection Holman [2, pp. 226-227] gives the following equation for turbulent flow heating in tubes: Nu =0.023 Re" Pro", where Nu = Nusselt number = hD/k Re = Reynolds number = pVD/t Pr = Prandtl number, non-dimensional h = heat transfer coefficient, Btu/hr-ft 2-°F D = inside diameter, ft k = thermal conductivity, Btu/hr-ft-°F p = density, lbm/ft 3 V = velocity, ft/hr = Q/(rcD 2/4) = m'/(pmcD 2/4)Q = volumetric flow rate, ft 3/hr mv = mass flow rate, lbm/hr[L = viscosity, lbm/ft-hr Solving for heat transfer coefficient and substituting V = m'/(pntD 2/4) yields: h = 0.023 (k/D) (pVD/t)0°8 Pr 0.4 h = 0.023 (k/D) {(pD/Q)[m'/(pirD 2/4)]}0'8 Pro 4 h = 0.023 (k/D) {(1/p)[4m'/(7rD)]}° 8 Pr°4 h = 0.023 (k/D) [4m'/(grnD)]° 8 Pr°4 h = {0.023 k 8 Pr 0" 4} (m')°8/D 1 8 The portion inside the curly brackets is defined as ýA, and is temperature dependent.

The above equation is valid for Reynolds number, Re, greater than 2300 [2, p. 172]; Re is given by: Re = pVD/[t Re = (pD/g)[m'/(p7rD 2/4)]File No.: 0800368.311 Page 3 of 9 Revision:

0 F0306-O1RO Structural Integrity Associates, Inc.Re = (1/ t)[4m'/(QtD)]

Re = 4m'/(gutD)

Re = 4/(utr) (m'/D)2.2 Internal Heat Transfer Coefficients, Natural Convection For transients where no flow rate or heat transfer coefficient is given, the flow rate is assumed to be essentially zero, and heat transfer coefficients are determined based on natural circulation.

For natural circulation in enclosed vertical or horizontal cylinders, Holman [2, p. 289] gives the following formula: Nuf= 0.55 (GrfPrf)1 4 , where Gr/ = Grashof number, dimensionless

= g 13 AT D 3/v 2 P = temperature coefficient of volume expansion (fluid), 1/0 F g = acceleration due to gravity = 32.174 ft/sec 2 AT = temperature difference between the fluid and wall, 'F v = kinematic viscosity, ft 2/sec Other symbols are the same as previously defined. The subscriptf indicates that the properties are evaluated at the film temperature, which is the average of the free-stream fluid temperature and the wall temperature

[2, p. 273]. Separating constants and physical properties as before, the equation becomes: h = 0.55 (k/D) (g 13 AT D 3 Prj/v 2)1/4 h = 0.55 k [g 03 AT D 3 Pr/(D 4 v 2)]1/4 h = 0.55 k [g 3 AT Prj/(D v2)]1/4 h = {0.55 k (g P3 Prj/v 2)1/4} (AT/D)" 4 The portion inside the curly brackets is defined as 4B, and is temperature dependent.

2.3 Other

Heat Transfer Coefficients All outside surfaces are assumed to be perfectly insulated.

There is no heat transfer to the surroundings.

Therefore, no heat transfer coefficients or temperatures are applied to the insulated outside surfaces.3.0 DESIGN INPUTS File No.: 0800368.311 Page 4 of 9 Revision:

0 F0306-01RO V Structural Integrity Associates, Inc.10-69--m IVIUL'm a-U -File No.: 0800368.311 Revision:

0 Page 5 of 9 F0306-O IRO V Structural Integrity Associates, Inc.Table 4 lists the properties of liquid water, which are used to calculate heat transfer coefficients, from Cheremisinoff

[6, Table 1-8] up to 600'F and Rohsenow et al [7, p. 3-53] above 600'F. For temperatures above 600'F, the parameter P3 is calculated as (dv/dT)/v, where v is the specific volume[7, p. 3-52] and T is the temperature.

File No.: 0800368.311 Revision:

0 Page 6 of 9 F0306-O1RO V Structural Integrity Associates, Inc.Table 4: Properties of Liquid Water ji, Ibm/ft- k, Btu/hr- gO3/v 2 , T, °F hr v, ft'/sec ft-OF Pr 3,/F 1/OF-ft 3 60 2.736 1.22E-05 0.340 8.07 8.OOE-05 80 2.081 9.29E-06 0.353 5.89 1.30E-04 ---100 1.649 7.36E-06 0.364 4.51 1.80E-04 1.07E+08 200 0.742 3.42E-06 0.392 1.91 3.70E-04 1.01E+09 300 0.468 2.27E-06 0.395 1.22 5.60E-04 3.51E+09 400 0.335 1.74E-06 0.382 0.95 7.80E-04 8.35E+09 500 0.252 1.43E-06 0.349 0.86 1.10E-03 1.74E+10 600 0.208 1.37E-06 0.293 1.07 1.75E-03 3.03E+10 638.3 0.186 1.34E-06 0.270 1.30 2.83E-03 ---656.3 0.174 1.32E-06 0.257 -1.52 3.98E-03 4.0 CALCULATIONS 4.1 Heat Transfer Coefficients Heat transfer coefficients are calculated as described in Section 2.0. The inside diameter used is: o Nozzle and pipe: D = 28" = 2.33' [4, p. 8]Parameters cIA and ýB are evaluated at each temperature in Table 4, and then interpolated to the temperatures in Table 1; this is done in the sheet labeled "Properties" in Excel workbook DB-311.xlsx.

Heat transfer coefficients are calculated as h = ýA (m')8 i/D 1 8 (for transients with flow) or qIB (AT/D)1/4 (for transients without flow) as appropriate for each time point in Table 1 in the sheet labeled "Transients" in Excel workbook DB-311.xlsx.

For transients without flow, AT is taken as 5 0 F, which is expected to be conservative based on the slowness of the ramp transients.

For transients with flow, Reynolds number is calculated as Re = 4/([tT[) (m'/D) in the sheet labeled"Properties" in Excel workbook DB-311.xlsx, and is found to be much greater than 2300.The maximum values of ýA and for the applicable temperatures in Table 1 are 0.0293 and 68.0567, respectively, so that the maximum heat transfer coefficients are: Nozzle etc., forced convection:

Nozzle etc., natural convection:

h = 0.0293 (46323539)08/(2.3333)18

= 8666.6 Btu/hr-ft 2-°F h = 68.0567 (5/2.3333)'/4

= 82.3 Btu/hr-ft 2-°F 4.2 Interface Loads T is equal to the fluid temperature during the given transient in 'F.File No.: 0800368.311 Revision:

0 Page 7 of 9 F0306-O1RO V Structural Integrity Associates, Inc.5.0 RESULTS OF ANALYSIS Table 5 provides the transient definitions, applicable heat transfer coefficients, and interface load factors for the bounding transients.

The thermal transients are to be considered as concurrent with the thermal expansion interface loads from Tables 2 and 3 multiplied by the factors shown in Table 5. Total OBE interface loads from Tables 2 and 3 can occur simultaneously with any thermal transient, up to the total number of OBE events, which is 650. The number of OBE events and the numbers of cycles in Table 5 occur over 40 years. To account for 20 years of additional life, the number of cycles in Table 5 should be multiplied by a factor of 1.5.Deadweight loads in Tables 2 and 3 are provided for use in the crack growth analysis.M M ' 11 I-Ua-Iil-u-U I-U-rýýý-'U--.a File No.: 0800368.311 Revision:

0 Page 8 of 9 F0306-O1RO Structural Integrity Associates, Inc.

6.0 REFERENCES

1. ASME Boiler and Pressure Vessel Code,Section III, Rules for Construction of Nuclear Facility Components, 2001 Edition with Addenda through 2003.2. Holman, J.P., Heat Transfer, Fifth Edition, McGraw-Hill, 1981.a 6. Cheremisinoff, N., Heat Transfer Pocket Handbook, Gulf Publishing Co., Houston, 1984.7. Rohsenow, W. M., Hartnett, J. P., Ganic, E. N., Handbook of Heat Transfer Fundamentals, Second Edition, McGraw-Hill, 1985.8. Davis Besse USAR, revision 26, Table 5.1-8, Transient Cycles-40-Year Design Life, Rev. 22, SI File No. 0800368.248.

COMPUTER FILES: DB-311.xlsx File No.: 0800368.311 Revision:

0 Page 9 of 9 F0306-O1RO