Formation of gas flows with account for the effects of heat conduction, viscosity, diffusion, and chemical reactions

Abstract

In this paper we examine the formation of one-dimensional-nonsteady gas flows with account for the influence of thermal conduction, viscosity, diffusion, and chemical reactions. An analogous problem but without account for the effect of diffusion and chemical reactions was examined in [1]. It is shown that the effect of chemical reactions is not significant for short times-the gas behaves as an incompressible fluid. The results obtained may be used to calculate gas flows with discontinuous initial conditions with subsequent numerical integration of the Navier-Stokes equations. As examples we consider the flows of binary gas mixtures which arise upon application of thermal flux to the flat end of a moving piston (1) and during the decay of an arbitrary discontinuity (2). It is assumed that the internal degrees of freedom of the gas molecules are in equilibrium with the translational degrees of freedom.