Compressors, Gas Turbines and Jet Engines
If p₁ is the pressure of air entering the L.P, cylinder and p₃ is the pressure of air leaving the H.P. cylinder, then the ratio of cylinder diameters for a single acting, two stage reciprocating compressor with complete intercooling is given by

D₁/D₂ = (p₁/p₃)1/4
D₁/D₂ = (p₃/p₁)1/4
D₁/D₂ = (p₁ p₃)1/2
D₁/D₂ = (p₁ p₃)1/4

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Compressors, Gas Turbines and Jet Engines
In a turbo jet engine, subsequent to heat addition to compressed air, to get the power output, the working substance is expanded in

Turbine blades, which is essentially an isentropic process
Turbine blades, which is a constant volume process
Exit nozzle, which is essentially an isentropic process
Exit nozzle, which is a constant volume process

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