Application of the generalized Chapman-Enskog method to the transport-coefficient calculation in a reacting gas mixture

Abstract

In this paper we investigate the calculation of the kinetic coefficients for a nonequilibrium mixture of chemically reacting gases. This study is based on the generalized Chapman-Enskog method (GCEM) proposed by Alexeev. An alternative method for the resolution of the basic linearized integral equations of the GCEM is developed in this paper. The algorithm of this method is adjusted to include triple inelastic collisions and the resolution method of the integral equation with non-self-adjoint operator was found to be the most effective for practical use. Some issues and examples of calculation are discussed.