Compressors, Gas Turbines and Jet Engines
A centrifugal compressor works on the principle of

Conversion of pressure energy into kinetic energy
Generating pressure directly
Centripetal action
Conversion of kinetic energy into pressure energy

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Compressors, Gas Turbines and Jet Engines
For a two stage reciprocating compressor, compression from p₁ to p₃ is with perfect intercooling and no pressure losses. If compression in both the cylinders follows the same polytropic process and the atmospheric pressure is pa, then the intermediate pressure p₂ is given by

p₂ = p₁. p₃
p₂ = (p₁ + p₃)/2
P₂ = Pa × p₃/p₁
p₂ = Pa p₃/p₁

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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
Power to drive compressor to isothermal h.p.
Isothermal h.p. to the BHP of motor

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