Could someone post the energy head formula and shaft power formula for centrifugal compressors?
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When the operating conditions of a compressor are known, such as inlet and outlet pressures, adiabatic index, etc., what are the formulas for calculating specific energy and power based on these conditions? It would be best to explain how this formula was derived Thank you
The energy head H = σRT(ε1/σ–1)Z; that 1/σ is an exponent, which cannot be displayed here； Where σ=ηk/(k-1), k is the adiabatic index, ε is the pressure ratio, Z is the compressibility coefficient, T is the inlet temperature, R is the gas constant, and η represents efficiency. The power N=GH*9.8/(η*3600*1000); actually the standard formula is N=GH, with the subsequent factors being used for conversion between the international system and the engineering system, and G represents the mass flow rate ； This is what you want, right? You only know it’s an empirical formula; you don’t know how it was derived specifically
This is derived from the gas equation of state
Does this mean that the higher the compression ratio, the greater the power?
For the same gas, at the same flow rate, a higher pressure ratio definitely results in greater power