Shock structure analysis in chemically reacting gas mixtures by a relaxation-time kinetic model

The shock structure in a gas mixture undergoing a bimolecular chemical reaction is studied by means of a reactive kinetic relaxation model. The relevant nonlinear integrodifferential equations are numerically solved in one space dimension with upstream and downstream asymptotic equilibrium conditions satisfying the reactive Rankine–Hugoniot relations and entropy condition. Numerical results are presented, emphasizing the role of Mach number, upstream concentration fractions, and change in the chemical composition across the shock