On The Limiting Laws of Buoyant Convective Jets and Thermals from Local Sources of a Heat Releasing Impurity

Abstract

By using the methods of scale analysis, dimensional analysis, and of the symmetry of differential equations, the dynamics of buoyant convective jets connected with stationary, local sources of a weightless heat-releasing impurity in a neutrally stratified medium is investigated. An example of such an impurity is an aerosol that absorbs solar radiation in the atmosphere (in particular, coal dust, and soot, which earlier was suggested to be used to actively affect certain atmospheric processes). An analog of Ya. B. Zel′dovich′s theory of convective jets for laminar and turbulent axisymmetric and plane jets has been obtained. The laws of motion of turbulent thermals connected with instantaneous sources of the impurity are given that follow from the considerations of dimensionality and similarity.