Generalization of the Prandtl Model of Slope Flows to the Case of the Presence of a Heavy Heat-Generating Impurity in the Environment
摘要
The Prandtl slope flow model is generalized to the case where on the inclined lower boundary there is a homogeneous stationary source of a heavy heat-generating impurity, the mass and heat release of which make a significant contribution to the density of the medium. A stationary analytical solution is obtained for the velocity of the resulting slope flows, temperature deviations, and impurity distribution. The model can describe, for example, some features of the dynamics of atmospheric flows caused by aerosol that absorb solar radiation.