Burnett's model of the structure of a shock wave in a molecular gas

The Navier-Stokes, Burnett and truncated Burnett systems of equations for a polyatomic gas with a slight exchange of translational and internal energies of the molecules are presented. The establishment method is used to calculate the structure of a shock wave in nitrogen. The results of calculations using these systems of equations are compared with the results of the method of direct statistical modelling. The effect of bulk viscosity and the accuracy of the Eucken approximation in the theory of heat conduction are analysed. The structure of the shock wave in a binary mixture of monatomic gases is calculated using the Navier-Stokes equations and the truncated Burnett equations by numerical upstream integration of a system of ordinary differential equations. The role of thermal diffusion is considered.