Consider an ideal gas turbine cycle with two stages of compression and two stages of expansion. The pressure ratio across each compressor stage and each turbine stage is 8:1. The pressure at entrance to the first compressor is 100 KPa. The temperature at entrance of each compressor is 20oC and temperature at entrance of each turbine is 1100oC. Ideal regenerator is also incorporated in the cycle.
(d) Prove that for optimum pressure ratio P2/P1 = P3/P4 = rP, T2 = √T1T3
Note: For optimum value of rP
d(Wnet)/drP = 0
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