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 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.
@article{SLSEDP_2017-2018____A7_0,
author = {Aoki, Kazuo and Kosuge, Shingo},
title = {Shock wave structure for polyatomic gases with large bulk viscosities},
journal = {S\'eminaire Laurent Schwartz {\textemdash} EDP et applications},
note = {talk:7},
pages = {1--18},
publisher = {Institut des hautes \'etudes scientifiques & Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
year = {2017-2018},
doi = {10.5802/slsedp.121},
language = {en},
url = {http://www.numdam.org/articles/10.5802/slsedp.121/}
}
TY - JOUR AU - Aoki, Kazuo AU - Kosuge, Shingo TI - Shock wave structure for polyatomic gases with large bulk viscosities JO - Séminaire Laurent Schwartz — EDP et applications N1 - talk:7 PY - 2017-2018 SP - 1 EP - 18 PB - Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique UR - http://www.numdam.org/articles/10.5802/slsedp.121/ DO - 10.5802/slsedp.121 LA - en ID - SLSEDP_2017-2018____A7_0 ER -
%0 Journal Article %A Aoki, Kazuo %A Kosuge, Shingo %T Shock wave structure for polyatomic gases with large bulk viscosities %J Séminaire Laurent Schwartz — EDP et applications %Z talk:7 %D 2017-2018 %P 1-18 %I Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique %U http://www.numdam.org/articles/10.5802/slsedp.121/ %R 10.5802/slsedp.121 %G en %F SLSEDP_2017-2018____A7_0
Aoki, Kazuo; Kosuge, Shingo. Shock wave structure for polyatomic gases with large bulk viscosities. Séminaire Laurent Schwartz — EDP et applications (2017-2018), Exposé no. 7, 18 p. doi : 10.5802/slsedp.121. http://www.numdam.org/articles/10.5802/slsedp.121/
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