The non-ideal gas equations and mathematical formulation developed in this work using the compressibility factor in the equation of state closely resemble the derivations used for the ideal gas mathematical formulation for a direct comparison of the differences between the ideal versus the non-ideal gas law. The local Mach number is defined for the non-ideal gas. The plenum total variables used in compressible flow are expressed in terms of the local Mach number for the polytrope and Rayleigh models. A power law relationship is derived between the thermodynamic variables that allow an analytical result for the mass flow under certain constraints.

Issue Section:
Technical Papers
Keywords:
compressible flow, Mach number, confined flow, equations of state, mass transfer
Topics:
Compressible flow, Flow (Dynamics), Mach number, Venturi tubes, Equations of state, Pressure, Refrigerants, Gas flow
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