Compressors, Gas Turbines and Jet Engines
An ideal air compressor cycle with clearance on P-V diagram can be represented by following processes

Two adiabatic and two isobaric
Two adiabatic, one isobaric and one constant volume
One adiabatic, two isobaric, and one constant volume
One adiabatic, one isobaric and two constant volumes

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Compressors, Gas Turbines and Jet Engines
In the cross compounding of the gas turbine plant

Both the arrangements can be employed
All are connected in series
H.P. compressor is connected to L.P. turbine and L.P. compressor is connected to H.P. turbine
H.P. compressor is connected to H.P. turbine and L.P. compressor to L.P. turbine

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