Compressors, Gas Turbines and Jet Engines
The overall isothermal efficiency of the compressor is defined as the ratio of

Volume of free air delivery per stroke to the swept volume of the piston
Isothermal power to the shaft power or B.P. of the motor or engine required to drive the compressor
Isentropic power to the power required to drive the compressor
Work required to compress the air isothermally to the actual work required to compress the air for the same pressure ratio

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Compressors, Gas Turbines and Jet Engines
Volumetric efficiency of a compressor without clearance volume

Increases with increase in compression ratio
Decreases with increase in compression ratio
May increase/decrease depending on compressor capacity
Is not dependent upon compression ratio

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

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