0 0 0 Westinghouse Non-Proprietary Class 3 0 WCAP-17276-NP January 2011 0 Revision 1 0 S 0 0 S Investigation of Simplified Equation for Gas Transport 0 S 0 0 S 0 0 0 0 0 0 0 0 S 0 0 0 0 0 0 0 0 0 ) Westinghouse 0 0 WESTINGHOUSE NON-PROPRIETARY CLASS 3 S WCAP-17276-NP Revision 1 0 0 Investigation of Simplified Equation for Gas Transport 0 0 0 0 0 Stephen R. Swantner* 0 Systems and Equipment Engineering III January 2011 0 S Reviewer: Matthew M. Swartz* Systems and Equipment Engineering III 0 Reviewer: Sunny Jhurani* S Systems and Equipment Engineering III Approved: William M. 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However, prior written approval is not required for program participants to provide copies of Class 3 Non-Proprietary reports to third parties that are supporting implementation at 5 their plant, and for submittals to the NRC. 0 S 0 0 S 0 0 * WCAP-17276-NP January 2011 0 Revision 1 S 0 0 WESTINGHOUSE NON-PROPRIETARY CLASS 3 0 RECORD OF REVISIONS 0 Revision Date Description 0 0 August 2010 Original Revision bars were included in the left margin-to-document all changes from Revision 0. This revision removes the 5% limitation on the allowable 1 January 2011 initial void fraction. Note that Sections 3.2, 4.3.1, 4.4.1.6.1, and 4.4.2.6.1 of Revision 0 were deleted; for ease of use, change bars were not included in the left margin of all subsequent section numbers. S 0 0 0 0 S S 0 0 0 0 0 0 S 0 0 0 0 0 WCAP-17276-NP January 2011 Revision 1 0 0 WESTINGHOUSE NON-PROPRIETARY CLASS 3 0 PWR OWNERS GROUP 0 MEMBER PARTICIPATION* FOR PROJECT/TASK PA-SEE-0685 REV. I Participant 0 Utility Member Plant Site(s) Yes No 0 AmerenUE Callaway (W) X American Electric Power D. C. Cook 1&2 (W) X 0 Arizona Public Service Palo Verde Unit 1, 2, & 3 (CE) X 0 Constellation Energy Group Calvert Cliffs 1 & 2 (CE) X Constellation Energy Group Ginna (W) X 0 Dominion Connecticut Millstone 2 (CE) X Dominion Connecticut Millstone 3 (W) X 0 Dominion Kewaunee Kewaunee (W) X Dominion VA North Anna 1 & 2, Surry 1 & 2 (W) X Duke Energy Catawba 1 & 2, McGuire 1 & 2 (W), Oconee 1, 2, X 0 3 (B&W) 0 Entergy Palisades (CE) X 0 Entergy Nuclear Northeast Indian Point 2 & 3 (W) X Entergy Operations South Arkansas 2, Waterford 3 (CE), Arkansas 1 (B&W) X 0 Exelon Generation Co. LLC Braidwood I & 2, Byron 1 & 2 (W), TMI 1 (B&W) X FirstEnergy Nuclear Operating Co. Beaver Valley 1 & 2 (W), Davis-Besse (B&W) X Florida Power & Light Group St. Lucie 1 & 2 (CE) X Florida Power & Light Group Turkey Point 3 & 4, Seabrook (W) X 0 Florida Power & Light Group Pt. Beach 1 & 2 (W) X Luminant Power Comanche Peak 1 & 2 (W) X 0 Omaha Public Power District Fort Calhoun (CE) X Pacific Gas & Electric Diablo Canyon 1 & 2 (W) X 0 Progress Energy Robinson 2, Shearon Harris (W), Crystal River 3 X (B&W) 0 PSEG - Nuclear Salem 1 & 2 (W) X 0 Southern California Edison SONGS 2 & 3 (CE) X South Carolina Electric & Gas V. C. Summer (W) X So. Texas Proiect Nuclear Operating South Texas Project I & 2 (W) X Southern Nuclear Operating Co. Farley I & 2, Vogtle 1 & 2 (W) X 0 Tennessee Valley Authority Sequoyah 1 & 2, Watts Bar (W) X Wolf Creek Nuclear Operating Co. Wolf Creek (W) X Xcel Energy Prairie Island 1 & 2 X 0 Project participants as of the date the final deliverable was completed. On occasion, additional members will join a project. Please contact the PWR Owners Group Program Management Office to verify particination before sendino this document to participants not listed above- January2011 WCAP-1WCAP-17276-NP 7276-NP January 2011 Revision 1 0 0 WESTINGHOUSE NON-PROPRIETARY CLASS 3 0 0 PWR OWNERS GROUP 0 INTERNATIONAL MEMBER PARTICIPATION* FOR PROJECT/TASK PA-SEE-0685 REV. I 0 Participant Utility Member Plant Site(s) Yes No 0 British Energy Sizewell B X 0 Electrabel (Belgian Utilities) Doel 1, 2 & 4, Tihange 1 & 3 X 0 Hokkaido Tomari 1 & 2 (MHI) X 0 Japan Atomic Power Company Tsuruga 2 (MHI) X 0 Kansai Electric Co., LTD Mihama 1, 2 & 3, Ohi 1, 2, 3 & 4, Takahama 1, 2, X 0 3 & 4 (W & MHI) Korea Hydro & Nuclear Power Corp. Kori 1, 2, 3 & 4 X 0 Yonggwang 1 & 2 (W) 0 Korea Hydro & Nuclear Power Corp. Yonggwang 3, 4, 5 & 6 X Ulchin 3, 4, 5 & 6 (CE) 0 Kyushu Genkai 1, 2, 3 & 4, Sendal 1 & 2 (MHI) X 0 Nuklearna Electrarna KRSKO Krsko (W) X 0 Nordostschweizerische Kraftwerke AG Beznau 1 & 2 (W) X (NOK) 0 Ringhals AB Ringhals 2, 3 & 4 (W) X 0 Shikoku Ikata 1, 2 & 3 (MHI) X 0 Spanish Utilities Asco I & 2, Vandellos 2, X 0 Almaraz 1 & 2 (W) 0 Taiwan Power Co. Maanshan 1 & 2 (W) X 0 Electricite de France 54 Units X * This is a list of participants in this project as of the date the final deliverable was completed. On occasion, 0 additional members will join a project. Please contact the PWR Owners Group Program Management Office 0 to verify participation before sending documents to participants not listed above. 0 0 S 0 0 0 0 0 0 0 0 0 0 S 0 WCAP-17276-NP January 2011 Revision 1 0 0 0*) WESTINGHOUSE NON-PROPRIETARY CLASS 3 *1 TABLE OF CONTENTS SL IS T O F TA B LE S ...................................................................................................................................... iv LIS T O F F IG UR E S ..................................................................................................................................... v 1 INT R O D UC T IO N ........................................................................................................................... 1 1.1 OVERVIEW OF DOCUMENT ........................................................................................ 1 1.2 SUMMARY OF RESULTS ........................................................................................ 2 1.2.1 Validation of Simplified Equation ............................................................ 2 1.2.2 Limitations on Usage of Simplified Equation ......................................... 2 2 VALIDATION OF SIMPLIFIED EQUATION ........................................................................ 3 2.1 IN TR O D U C T IO N ....................................................................................................... 3 2.2 GAS TRANSPORT PARAMETERS ........................................................................ 3 2.2.1 Instantaneous Space Averaged Void Fractions ..................................... 3 * 2.2.2 Volumetric Flow Ratio ............................................................................... 3 2 .2 .3 S lip R atio ................................................................................................... 4 2.3 APPLICATION OF TRANSPORT PARAMETERS TO PURDUE TESTS ........... 4 * 2.3.1 Space Averaged Void Fraction ................................................................. 4 * 2.3.2 Volumetric Flow Ratio ............................................................................... 5 2.3.3 Tim e Scale R atio ......................................................................................... 5 * 2.3.4 Relation of Transport Parameters to Initial Void Fraction .................... 6 * 2.4 GAS TRANSPORT PROCESS ............................................................................... 7 2.5 RELATION OF SIMPLIFIED EQUATION TO TRANSPORT PARAMETERS ........