Twist around heating gas cylinder taking into account the forces of gravity and coriolis

About the authors:

Sergei P. Bautin, Dr. Sci. (Phys.-Math), Professor, Department of Higher and Applied Mathematics, Snezhinsk Physical-Technical Institute, National Research Nuclear University MEPhI (Snezhinsk); eLibrary AuthorID, sbautin@usurt.ru

Irina Yu. Krutova, Cand. Sci. (Phys.-Math.), Head of the Department of Higher and Applied Mathematics, Snezhinsk Physic Institute of the National Research Nuclear University MEPhI; iykrutova@mephi.ru

Abstract:

The paper studies a system of equations of gas dynamics under the action of gravity and Coriolis for ideal polytropic gas. A special characteristic Cauchy problem has been put; the solution of the problem describes the motion of air in a gravitational field with continuous heating of a vertical cylinder located in it. It is proved that under the condition of analyticity of input data, the problem has the only analytical solution presented as a convergent series. The analysis of the first coefficients of the series showed that as the cylinder is heated, there appears circumferential motion of gas in the air twisted in the negative direction in the Northern Hemisphere, and in the positive direction in the Southern Hemisphere. The established facts are mathematical justification for fire vortex twist direction.

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