Analytical models of translationally nonequilibrium dynamics of shock-compressed binary gas mixtures

Aim: to find statistical distributions of molecules and their pairs in a shock-compressed gas mixture based on the modified Tamm-Mott-Smith method. Methodology. Theoretical methods of mathematical physics were used. Results . It is shown that the single-particle modified Tamm-Mott-Smith statistical distribution for a shock-compressed gas mixture is essentially four-modal. This makes it possible to satisfy both the conditions of conservation of mass, momentum and energy fluxes inside the shock wave front, and to significantly simplify the systems of moment equations used in numerical calculations. Analytical representations are obtained for all types of distribution functions of pairs of molecules in a shock compressed binary mixture of gases. Research implications. The obtained analytical results are essential for clarifying the question of the need to take into account translational disequilibrium in determining the velocity coefficients of energetically activated inelastic collisions inside shock wave fronts