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The structure of shock waves propagating through heavy noble gases: temperature dependence

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Abstract

The structure of planar shock waves propagating through argon, xenon, and krypton is calculated using the direct simulation Monte Carlo method for Mach numbers 2, 5, and 10. The upstream temperature considered in the present paper varies from 30 to 8000 K, depending on the gas species and Mach number. Both quantum and classical approaches to the intermolecular collisions based on ab initio potential are used. The distributions of density and temperature inside the shock wave are reported. The density slope is calculated as a function of the upstream temperature and Mach number with the numerical error less than \(0.5\%\). The dependence of the density slopes on the upstream temperature is studied. It is shown that the slope behaviors of the heavy gases are qualitatively similar to each other, but they are completely different from those for helium.

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Acknowledgements

F.Sh. acknowledges the Brazilian Agency CNPq for the support of his research, Grant 304831/2018-2. F.C.D. thanks the Brazilian Agency CAPES for her Ph.D. Scholarship. The calculations were carried out at Centro Nacional de Supercomputação (CESUP) of Federal University of Rio Grande do Sul.

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  1. Departamento de Física, Universidade Federal do Paraná, Curitiba, 81531-980, Brazil

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Communicated by S. O’Byrne.

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This paper is based on work that was presented at the 32nd International Shock Wave Symposium, Singapore, July 14–July 19, 2019.

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Dias, F.C., Sharipov, F. The structure of shock waves propagating through heavy noble gases: temperature dependence. Shock Waves 31, 609–617 (2021). https://doi.org/10.1007/s00193-020-00965-w

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