Kinetic description of polyatomic gases with temperature-dependent specific heats

Abstract

We present the continuous kinetic approach to modeling of thermally perfect (non-polytropic) gases with temperature dependent molecular internal degrees of freedom. Starting from the Boltzmann collision operator and a specific choice of the cross section enriched with free parameters, models are developed for transport coefficients, bulk and shear viscosities, and thermal conductivity. A procedure is proposed for simultaneously fitting parameters to match experimental data for temperature dependence of the specific heat, shear viscosity, and Prandtl number. Results for the dynamic pressure relaxation time, or equivalently, the bulk viscosity, are compared with previously existing estimates.

Topics & Concepts