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Grad’s distribution functions in the kinetic equations for a chemical reaction. (English) Zbl 0996.76093
Summary: We propose a Grad’s 13-moment expansion for studying the evolution of a rarefied gas mixture of four species undergoing a bimolecular reversible chemical reaction, along with all possible elastic collisions. Such an expansion improves previous calculations based on an Euler closure of the moment equations, since it allows a description of the main macroscopic fields for each species, and includes viscosity tensors and heat fluxes. The approximation turns out to be robust, in the sense that the exact conservation equations are correctly reproduced. Some simple illustrative numerical results are presented and briefly discussed.

MSC:
76V05 Reaction effects in flows
76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics
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