Effect of Dynamic Pressure on the Shock Structure and Sub-shock Formation in a Mixture of Polyatomic Gases

Abstract

We study the shock structure and the sub-shock formation in a binary mixture of rarefied polyatomic gases, considering the dissipation only due to the dynamic pressure. We classify the regions depending on the concentration and the Mach number for which there may exist the sub-shock in the profile of shock structure in one or both constituents or not for prescribed values of the mass ratio of the constituents and the ratios of the specific heats. We compare the regions with the ones of the corresponding mixture of Eulerian gases and perform the numerical calculations of the shock structure for typical cases previously classified and confirm whether sub-shocks emerge.

Keywords

Shock structure / Mixture of gases / Rational extended thermodynamics (RET) / Polyatomic gases / Dynamic pressure / Sub-shock formation / Bulk viscosity

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Funding

Japan Society for the Promotion of Science London(JP19K04204); Alma Mater Studiorum - Università di Bologna