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Question

Consider a simple gas turbine (Brayton) cycle and a gas turbine cycle with perfect regeneration. In both the cycle, the pressure ratio is 6 and the ratio of the specific heats of the working medium is 1.4. The ratio of minimum to maximum temperatures is 0.3 (with temperature expressed in K) in the regenerative cycle. The ratio of the thermal efficiency of the simple cycle to that of the regenerative cycle is
  1. 0.8141

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Solution

The correct option is A 0.8141
Given:
rp=6
γ=1.4
TminTmax=0.3 [for regenerative cycle]
ηregenerativecycle=1TminTmax×(rp)γ1/γ
=10.3×(6)0.41.4
=0.49945
ηsimplecycle=11(rp)γ1/γ=11(6)1.411.4
=0.4066
Required ratio =ηsimplecycleηregenerativecycle=0.406660.49945
=0.8141

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