Similarity solutions for the flow behind an exponential shock in a non-ideal gas |
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Authors: | J P Vishwakarma G Nath |
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Institution: | (1) Department of Mathematics and Statistics, D.D.U. Gorakhpur University, Gorakhpur, 273009, INDIA |
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Abstract: | Similarity solutions for the flow of a non-ideal gas behind a strong exponential shock driven out by a piston (cylindrical
or spherical) moving with time according to an exponential law are obtained. Similarity solutions exist only when the surrounding
medium is of constant density. Solutions are obtained, in both the cases, when the flow between the shock and the piston is
isothermal or adiabatic. It is found that the assumption of zero temperature gradient brings a profound change in the density
distribution as compare to that of the adiabatic case. Effects of the non-idealness of the gas on the flow-field between the
shock and the piston are investigated. The variations of density-ratio across the shock and the location of the piston with
the parameter of non-idealness of the gas are also obtained. |
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Keywords: | Piston problem Self-similarity Non-ideal gas Isothermal Adiabatic flows Exponential shock |
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