Deriving the isentropic efficiency from the polytropic efficiency of a compressor
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When reading the literature, it is stated that one can assume the polytropic efficiency of the compressor in order to derive its isentropic efficiency. Is there anyone who can provide the derivation process or relevant materials (regardless of the type of compressor)?
The polytropic specific energy head is Hp=m/(m-1)*RTa【(m-1/m) raised to the power of –1】, while the isentropic specific energy head is Hp1=k/(k-1)*RTa【(k-1/k) raised to the power of –1». m/(m-1) = k/(k-1) * polytropic efficiency. Power P = h * G * flow rate / efficiency; where if h is the polytropic head, then the efficiency is the polytropic efficiency ； If h is the isentropic head, then the efficiency is the isentropic efficiency. In this way, the isentropic efficiency can be calculated.
Could you explain it more clearly, please? Expert