Generalization of a Prandtl Slope Flow Model with a Heavy Admixture

Abstract

A Prandtl slope flow model is generalized for the case with a homogeneous stationary source of a heavy admixture that significantly changes the medium density. A stationary analytical solution for a velocity of arising flows, temperature deviations, and admixture distribution is obtained. The model describes, for example, some special features of the dynamics of a ground snowstorm above a slope surface.