Mathematical problem in the construction of kinetic equations of alternative fuel oxidation in an internal combustion engine

Abstract

In this paper, when solving problems of non-equilibrium gas dynamics, the source terms associated with the presence of physical and chemical transformations are taken into account, primarily in the mass balance equations. Based on the method of splitting by physical processes, a computational scheme is constructed in which the influence of the chemical source is taken into account separately from other terms included in the laws of mass conservation of the components of the mixture. This ensures the independence of the formulation of the accepted kinetic problem. Naturally, in a number of cases, the solution of a chemical-kinetic problem can have independent significance. The independence of the formulation of the "purely"chemical-kinetic problem is, however, very relative, since the basic conservation laws of the hydrodynamic model of a reacting continuous medium are a system of strongly coupled equations. For this reason, the chemical-kinetic problem is consistently formulated only for the spatially homogeneous case.