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Compressible Flow at High Pressure with Linear …
This draft was prepared using the LaTeX style file belonging to the Journal of Fluid Mechanics1 Compressible Flow at High Pressure withLinear Equation of StateWilliam A. Sirignano Department of Mechanical and Aerospace Engineering, University of California, Irvine, CA92697, USA(Received xx; revised xx; accepted xx) Compressible flow varies from ideal-gas behavior at high pressures where molecularinteractions become important. Density is described through a cubic equation of statewhile enthalpy and sound speed are functions of both temperatureand Pressure , based ontwo parameters,AandB, related to intermolecular attraction and repulsion, small variations from ideal-gas behavior, a closed-form solution is obtained thatis valid over a wide range of conditions. An expansion in these molecular-interaction pa-rameters simplifies relations for flow variables, elucidating the role ofmolecular repulsionand attraction in variations from ideal-gas behavior.
Real-gas Compressible Flow 3 For a pressureratioequal to 25,the downstreamdensity was abo ut 15%higherfor the real gas compared to the ideal gas while the real-gas downstream tempe rature was 25% lower.
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