Single Phase 37 A reactor coolant system consist of the reactor vessel, two hot legs, two steam generators, four cold legs and four reactor coolant pumps as illustrated below. For the given data: a) Determine the total system flow rate b) Assuming one of the reactor coolant pumps in Loop 1 fails, determine the new system mass flow rate. You may assume all loss coefficients remain unchanged. CoreUpper PlenumLower PlenumHot Leg 1Cold Leg 1aCold Leg 1bHot Leg 2Cold Leg 2aCold Leg 2bm121a2a2b1bcmmmmmmOther than the reactor coolant pump failure, you can assume that the hot legs are identical and the cold legs are identical. Problem Data Reactor Coolant Pump PΔ112 psia Hot Leg Flow Area (each) 9.62 ft2Hot Leg Total Effective Loss Coefficient (including friction) 2.829 Cold Leg Flow Area (each) 4.909 ft2Cold Leg Total Effective Loss Coefficient (including friction) 2.194 Core Flow Area 60.8 ft2Core Total Effective Loss Coefficient (including friction) 32.64 Average Coolant Temperature 590 F System Pressure 2250 psia SOLUTIONLoop 1 Momentum EquationsUpper Plenum to RCP Inlet ManifoldcAcAUcUgGKHggPHggPρρρ2211++=+1. RCP Inlet Manifold to Lower Plenum
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