Special Session 100: 

Shock wave structure for a polyatomic gas with a large bulk viscosity

Kazuo Aoki
National Cheng Kung University
Taiwan
Co-Author(s):    Shingo Kosuge
Abstract:
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 the CO2 gas. The polyatomic version of the ellipsoidal statistical (ES) model is employed, and the shock structure is obtained numerically for different upstream Mach numbers. 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. An analytical solution, consisting of a jump condition and a slowly varying solution, is also obtained by an asymptotic analysis. The analytical solution shows good agreement with the numerical solution. An extension of the ES model to a gas with temperature dependent specific heats (a non-polytropic or thermally perfect gas) is also mentioned briefly.