Shock wave structure for polyatomic gases with large bulk viscosities
Séminaire Laurent Schwartz — EDP et applications (2017-2018), Talk no. 7, 18 p.

The structure of a standing plane shock wave in a polyatomic gas is investigated on the basis of kinetic theory, with special interest in gases with large bulk viscosities, such as CO 2 gas. The ellipsoidal statistical (ES) model for a polyatomic gas is employed. First, the shock structure is computed numerically for different upstream Mach numbers and for different (large) values of the ratio of the bulk viscosity to the shear viscosity, and the double-layer structure consisting of a thin upstream layer with a steep change and a much thicker downstream layer with a mild change is obtained. Then, an asymptotic analysis for large values of the ratio is carried out, and an analytical solution that describes the thick downstream layer correctly is obtained.

Published online:
DOI: 10.5802/slsedp.121
Aoki, Kazuo 1, 2; Kosuge, Shingo 3

1 Department of Mathematics, National Cheng Kung University Tainan 70101 Taiwan
2 Taiwan and National Center for Theoretical Sciences National Taiwan University Taipei 10617 Taiwan
3 Institute for Liberal Arts and Sciences Kyoto University Kyoto 606-8501 Japan
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     title = {Shock wave structure for polyatomic gases with large bulk viscosities},
     journal = {S\'eminaire Laurent Schwartz {\textemdash} EDP et applications},
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     publisher = {Institut des hautes \'etudes scientifiques & Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
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Aoki, Kazuo; Kosuge, Shingo. Shock wave structure for polyatomic gases with large bulk viscosities. Séminaire Laurent Schwartz — EDP et applications (2017-2018), Talk no. 7, 18 p. doi : 10.5802/slsedp.121. http://archive.numdam.org/articles/10.5802/slsedp.121/

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