GENERALIZATION OF THE PRANDTL MODEL OF SLOPE FLOWS TO THE CASE OF THE PRESENCE OF A HEAVY HEAT-GENERATING IMPURITY IN THE ENVIRONMENT

The Prandtl slope fl ow 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 signifi cant contribution to the density of the medium. A stationary analytical solution is obtained for the velocity of the resulting slope fl ows, temperature deviations, and impurity distribution. The model can describe, for example, some features of the dynamics of atmospheric fl ows caused by aerosol that absorb solar radiation.
The Prandtl slope fl ow 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 signifi cant contribution to the density of the medium. A stationary analytical solution is obtained for the velocity of the resulting slope fl ows, temperature deviations, and impurity distribution. The model can describe, for example, some features of the dynamics of atmospheric fl ows caused by aerosol that absorb solar radiation.
Author:  L. Kh. Ingel′
Keywords:  slope fl ows, Prandtl model, heavy impurity, heat-generating impurity, aerosol in the atmosphere
Page:  448