Abstract

We consider the complete system of Navier-Stokes equations describing three-dimensional convective flow of a compressible viscous heat-conducting gas under the action of gravity with constant coefficients of viscosity and thermal conductivity. Convective gas flow is initiated by an annular heating of the underlying surface. Decisions of the full Navier-Stokes equations are constructed numerically by an explicit difference scheme in a cube with an edge length of the unit. The results of calculations of the density, temperature and pressure of the convective flow. It is shown that the thermodynamic parameters have a complicated structure and essentially depend on the shape of heating, altitude and time of heating.

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