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Applying dimensional analysis to compressible flow

Inspection of the full equations deflning compressible flow summarized in Section 6.4 of Chapter 6 shows that the process may be characterized using the following seven quantities involving the three dimensions, mass, length and time, [Pg.328]

As a result, compressible flow may be described by an equation of the form  [Pg.328]

The analysis of Chapter 6, Sections 6.2 to 6.4, has provided us a way of calculating the flow, IV, for any combination of parameters p, vt,A, p /p, Kt,Y- Hence we may evaluate the dimensionless flow function at each point simply by dividing the mass flow calculated by the factor A VPi/vi- For brevity, we will give this dimensionless flow function the symbol, fpip,  [Pg.328]

Given the specific-heat ratio, y, th pipe-flow function, fpipf, may be calculated for flow through pipes with a wide range of total frictional losses, Kt, and over the full range of pressure ratios. Tables A2.1 to A2.4 give the results of calculations for a monatomic gas, a diatomic gas, superheated steam/polyatomic gas [Pg.328]


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