Numerical simulation of gas convective flow thermodynamic parameters in the annular heating scheme under normal gravity conditions

About the authors:

Elena M. Sorokina, Senior Lecturer, Affiliate of the Military Education-Research Center Forces «Combined Arms Academy of the Russian Federation Armed Forces» (Tyumen)
Alexandr G. Obukhov, Dr. Sci. (Phys.-Math), Professor, Department of Business Informatics and Mathematics, Industrial University of Tyumen; eLibrary AuthorID, agobukhov@inbox.ru

Abstract:

We consider the complete system of Navier–Stokes equations describing the flow of a compressible viscous heat-conducting gas under the influence of gravity. The coefficients of viscosity and thermal conductivity are assumed to be constant. The initial conditions are set by the functions that are accurate analytical solution of the complete Navier–Stokes equations. For the purposes of this research impermeability and thermal insulation are accepted as boundary conditions. Convective gas flow is initiated by an annular heating of the underlying surface. Solutions 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 article contains the results of calculations for density, temperature and pressure of the convective flow of viscous compressible heat-conducting gas under the influence of gravity. It is shown that the thermodynamic parameters have a complicated structure and essentially depend on the shape of heating, altitude and time of heating. Unsteady convective gas flow is more pronounced in the initial stage of its formation.

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