Similarity solutions for the flow behind an exponential shock in a non-ideal gas. (English) Zbl 1163.76388
Summary: 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 \({\overline{b}}\) are also obtained.
MSC:
| 76L05 | Shock waves and blast waves in fluid mechanics |
| 76M55 | Dimensional analysis and similarity applied to problems in fluid mechanics |
| 76N15 | Gas dynamics (general theory) |
Keywords:
piston problem; self-similarity; non-ideal gas; isothermal; adiabatic flows; exponential shockReferences:
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