One-Temperature Model for Chemically Non-equilibrium Gas Mixtures

In the present Chapter, we consider a chemically reacting gas mixture flow under the condition (1.45), which suggests that the characteristic time for the relaxation of all internal energy modes is considerably smaller than that for chemical reactions. Such conditions often provide a subject for chemical kinetics studies [126], when non-equilibrium chemical reactions are simulated on the basis of the maintaining thermal equilibrium distributions over the internal energy. A kinetic description for the tempered reaction regime can be found in Refs. [249, 76, 60]. Thus, in the monograph [76], mathematical aspects of transport theory in reacting mixtures with slow chemical reactions are considered in detail, and efficient algorithms for the solution for linear transport systems are developed. In this Chapter, we briefly discuss the zero- and first-order distribution functions, governing equations, and the structure of transport and production terms in the one-temperature approach.