The new formulation of exact transport equations and coefficients of chemical reacting mixtures

摘要

New equations for heat transfer and mass diffusion flows with exact expressions for all transport coefficients have been formulated using kinetic theory of Hirschfelder, Curtis, Bird and the Chapman-Enskog method with higher order approximations in Sonine's polynomial expansion. The extended Chapman-Enskog method have been used to resolve the infinite algebraic system of equations in the polynomial expansion procedure. New representation of heat flux as well as the mass diffusion flux of particles resolved with respect to the gradients of temperatures and the particles concentrations have been derived. The transport coefficients in form of the determinant's ratio, which orders are reduced by the number of species N in comparison with the routine method have been deduced. The expressions for heat transfer and mass diffusion flux have been also derived, as the local chemical equilibrium is reached. The simplifications of the transport coefficients have been developed. The new expressions proved to be more satisfactory than generally used ones. They have a good accuracy in wide ranges of temperature and pressure, even when the other approaches become unacceptable.