Question: The polytropic or small stage efficiency of a compressor η,C is defined as the ratio of the actual differential work done on the fluid to

The polytropic or small stage efficiency of a compressor ηˆž,C is defined as the ratio of the actual differential work done on the fluid to the isentropic differential work done on the flowing through the compressor ηˆž,C = dhs/dh. Consider an ideal gas with constant specific heats as the working fluid undergoing a process in a compressor in which the polytropic efficiency is constant. Show that the temperature ratio across the compressor is related to the pressure ratio across the compressor by
The polytropic or small stage efficiency of a compressor ηˆž,C

Pi

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