The steady isentropic flow of a fluid which satisfies an arbitrary equation of state is treated, with emphasis on the prediction of pressure, density, velocity, and massflow at the sonic state. The isentrope P(v) is described by a limited number of thermodynamic parameters, the most important ones being the soundspeed c and fundamental derivative Γ. Using this description, an application of the Bernoulli equation and appropriate thermodynamic relations yields simple closed-form predictions for the sonic state. These predictions are recognizable as generalizations of well-known ideal gas formulas, but are applicable to fluids very far removed from the ideal gas state, even including liquids. Comparisons in several cases for which precise independent solutions are available suggest that the methods found here are accurate. A derived similarity principle allows the accurate prediction of sonic properties from any single given sonic property.
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March 1977
Research Papers
Simple Predictions for the Sonic Conditions in a Real Gas
P. A. Thompson,
P. A. Thompson
Max-Planck-Institut fur Stromungsforschung, Federal Republic of W. Germany
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D. A. Sullivan
D. A. Sullivan
Max-Planck-Institut fur Stromungsforschung, Federal Republic of W. Germany
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P. A. Thompson
Max-Planck-Institut fur Stromungsforschung, Federal Republic of W. Germany
D. A. Sullivan
Max-Planck-Institut fur Stromungsforschung, Federal Republic of W. Germany
J. Fluids Eng. Mar 1977, 99(1): 217-225 (9 pages)
Published Online: March 1, 1977
Article history
Received:
December 8, 1976
Online:
October 12, 2010
Citation
Thompson, P. A., and Sullivan, D. A. (March 1, 1977). "Simple Predictions for the Sonic Conditions in a Real Gas." ASME. J. Fluids Eng. March 1977; 99(1): 217–225. https://doi.org/10.1115/1.3448526
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