Dimensional analysis applied to compressor pressure ratio

1 Dimensional analysis applied to compressor pressure ratio 

Instead of considering polytropic head, it is possible to carry out an alternative dimensional analysis based on inlet and outlet pressures of a compressor section. We will begin by assuming that the compression process may be represented using the parameter set  

For compression gases, we may normally take the dimensionless compressibility factor, Z as unity or at least constant in the pressure range we are studying, and consider it no further. The dependence of specific volume on pressure and temperature means that we may eliminate this variable from our chosen parameter set. Further, it has been found convenient to use the grouping R T instead of temperature alone. Thus the parameter set becomes  

Following the procedure outlined in Section 17.2, we write our test equation as  

Substituting back into equation (17.90) gives P2T = const X 

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See also in sourсe #XX -- [ ]

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