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SPSolution36-38

# SPSolution36-38 - Naik Sameer V Solution for Special...

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Naik, Sameer V. Fall 2009 1000 Solution for Special Problem 36 Given: - Ideal reheat Rankine cycle Find: - Thermal efficiency (%) of the cycle - Mass flow rate of steam (kg/s) - Rate of heat transfer (MW) in the condenser - T-s diagram System: Condenser Boiler Pump HP Turbine W pump Q in P 1 = 30 bar T 1 = 500 C P 4 = 0.1 bar P 5 = 0.1 bar saturated liquid P 6 = 30 bar Q out P 2 = 5 bar LP Turbine P 3 = 5 bar T 3 = 500 C Assumptions: - Steady state - Negligible changes in KE and PE in all devices - Negligible pressure drop in boiler and condenser - No mechanical work interaction for boiler and condenser - Isentropic process in turbine and pump Basic Equation(s): f g f y y x y y Energy balance for the boiler: 2 2 1 6 1 6 1 6 2 boiler s boiler boiler steam s s dE Q W m h h g z z dt  

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Naik, Sameer V. Fall 2009 1000 Energy balance for the high-pressure turbine: 2 2 1 2 1 2 1 2 2 HPturbine s HPturbine HPturbine steam s s dE Q W m h h g z z dt   Energy balance for the reheat section of the boiler: 2 2 2 3 2 3 2 3 2 reheat s reheat reheat steam s s dE Q W m h h g z z dt   Energy balance for the low-pressure turbine: 2 2 3 4 3 4 3 4 2 LPturbine s LPturbine LPturbine steam s s dE Q W m h h g z z dt   Energy balance for the condenser: 2 2 4 5 4 5 4 5 2 condenser s condenser condenser steam s s dE Q W m h h g z z dt  Energy balance for the pump: 2 2 5 6 5 6 5 6 2 pump s pump pump steam s s dE Q W m h h g z z dt   Isentropic pump work: 4 3 4 3 3 4 3 pump s w vdP KE PE v P P h h         1 2 3 4 6 5 1 6 3 2 s s s net thermal in s s h h h h h h w q h h h h 1 2 3 4 6 5 net net steam net s s s W W m w h h h h h h Solution: State 1: Using Table A-3, at P 1 = 30 bar, T sat = 233.9 C T 1 = 500
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SPSolution36-38 - Naik Sameer V Solution for Special...

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