An ES-BGK Model for a Gas Mixture with Bimolecular Chemical Reaction

摘要

A relaxation-time-approximation of a Boltzmann kinetic model for a slow bimolecular chemical reaction in a collision dominated gas mixture is presented. The dominant mechanical collision operator, approximated by an ellipsoidal BGK operator recently introduced in the literature, is coupled to a kinetic relaxation model enforcing chemical equilibrium. The hydrodynamic limit up to the fluid-dynamic reactive Navier-Stokes equations are worked out by a Chapman-Enskog asymptotic procedure, emphasizing reactive effects in the resulting reaction-diffusion transport equations.