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

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

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

Isothermal h.p. to adiabatic h.p.
Work to compress air isothermally to work for actual compression
Isothermal h.p. to the BHP of motor
Power to drive compressor to isothermal h.p.

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