Question

ne cycle adds and removes heat and removes work from a"working fluid" (usually steam) to convert work. The working fluid goes through a "cycle", meaning that it starts and ends at the same thermodynam conditions (T, P, etc.) after passing through each step in the process. Each step is typically at steady state. It is heat namic nvenient to label the streams in the way that we used in class: (I) saturated liquid at high pressure Pu (2) saturated vapor at PH (3) superheated vapor at Pu, also highest T in process (4') low pressure PL. isentropic with (3). NOTE: (4) low pressure Pz. but accounts for isentropic efficiency compared to (3) and (4) (5) saturated liquid at P (6') compressed liquid at Pu, isentropic pump this point was saturated vapor in the example in class, but that is not a requirement. presed iqo 5) and (6) A Rankine cycle operates with the following conditions: . T.-600°C, P-4 MPa 40 bar P-0.02 MPa 0.2 bar isentropic efficiency of turbine [(3) to (4)] 7 0.85 ·isentropic efficiency of pump [(5) to (6)) η = 0.8 . net power generation 80 MW-80 x 10°J/s Identify the (T, P, phase) conditions of all the points. Then determine the following: (a) Work of the turbine, per kg of H20 that circulates (b) Work input to the pump, per kg of H2O that circulates (c) H20 flowrate that is required to achieve the desired power (d) Heat input required in the boiler (high (T, P) conditions) (e) Thermal efficiency, i.e. (net work)/(heat added) (0 Ratio of thermal efficiency to the Carnot efficiency for the same high and low temperatures

Answer 1

USING STEAM PROPERTY TABLES, SPECIFIC ENTHALPY & ENTROPY OF EACH STATE IS DETERMINED AS REQUIRED. FROM ISENTROPIC ANALYSIS OF PUMP & TURBINE, WE DETERMINE ACTUAL ENTHALPY OF TURBINE & PUMP EXIT STREAMS. THEN PART A,B & C ARE SOLVED USING ENTHALPY BALANCE.

SHEET- BCILEP WPUNP PUM CONDENSER 41 RANKINE CYCLE Tor haduro cl shelo 3, T3: 6。。。C =Tu = (60° +773.IS)K_073. 'SK Part ca 3, 83=구.340 44紂/ is donaled a 4

곡 . 37044-0.83195+ 구、07528 T4' g 24130 lig, 4'=25, , 399741 -R부-QSl . 399344(Q608.9424S-2SI. 39934)米0 .924132 ,'·A/ = 24 30.08502 kJ/ PanCb タIR

UJQ 9 , Pump 4.04 568 kJ/kg 9 別2C

P S1.39974 259. To 8916 4 6M O 30803 8S O.618383

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