Mathematical modeling of the “gas-vacuum” boundary motion of the upward swirling fl ow taking into account the unilateral infl uence of the horizontal external force

Mezentsev Alexei Vladimirovich, Yagupov Stanislav Alexandrovich

The paper considers three-dimensional flows of an ideal polytropic gas adjacent to a vacuum under the action of gravitational forces, Coriolis and horizontal external force. The flow of gas under the action of wind load in the vertical part of the upward swirling flow of the tornado type with low pressure in the central part is simulated [1-3]. The law of motion of the free surface – the gas-vacuum boundary and the behavior of gas-dynamic parameters on it are investigated. The system of equations of gas dynamics is used as a mathematical model [4-5]. The law of motion of the gas-vacuum boundary is determined in parametric form from the solution of systems of ordinary differential equations.

Keywords:Ideal polytropic gas, Coriolis force, system of equations of gas dynamics, the boundary "gas-vacuum».