?For an adiabatic gas compressor, the efficiency with respect to isentropic operation ?

Chapter 7, Problem 7.38

(choose chapter or problem)

For an adiabatic gas compressor, the efficiency with respect to isentropic operation η is a measure of internal irreversibilities; so is the dimensionless rate of entropy generation \(S_{G} /R ≡ \dot S_{G} /(\dot nR)\). Assuming that the gas is ideal with constant heat capacities, show that η and SG /R are related through the expression:

\(\frac {SG}{R} = \frac {C_{P}}{R} ln (\frac {η + π − 1}{ηπ})\)

where

\(π ≡ ( P_{2} / P_{1} )^{R/C_{P}}\)

Text Transcription:

SG / R = C_P / R ln (η + π − 1 / ηπ)

π ≡ ( P_2 / P_1 )^R/C_P

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