Diffusion across a laminar compressible mixing zone

Abstract

The problem considered in this paper is the laminar mixing of two parallel streams of compressible fluid mixtures. The streams are two component compressible fluids, e.g. air and some contaminant. The primary interest is to describe the mixing process and its effect on the concentration of each species composing the fluid. The concentration of one of the components of the binary mixture is assumed to be small, and a perturbation solution, with the concentration as the small parameter, is initiated. The zero-th approximation is carried out in detail. The Schmidt number and the Prandtl number are arbitrary constants, the viscosity is assumed to vary linearly with temperature, and the two components of the fluid mixture individually obey a perfect gas equation of state. An analytical solution to the initial approximation is obtained by means of rapidly convergent series expansions. Only the Schmidt number and the Prandtl number influence the computation of fundamental solutions.