Analytical Solution of a Two-Dimensional Model of Dry Air Convection in a Stratified Atmosphere

Abstract

In this work, an analytical solution of a two-dimensional model of thermal convection in a stratified atmosphere is obtained. Since the atmosphere is stratified, this leads to the fact that pressure, density and temperature decrease with height in a state of atmospheric statics. As a result of the heating of the Earth’s surface, the atmosphere is perturbed and thermal convection occurs. In this work, expressions for the stream function, perturbations of temperature, pressure, and velocity field are obtained.