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Article information
2011 , Volume 16, ¹ 1, p.18-29
Bautin S.P., Roschupkin A.V.
Analytical and numerical construction for solutions of gas dynamics equations with spiral nature
We consider solutions of the equations of gas dynamics, which describe plane isentropic, flows of a polytropic gas subject to Coriolis force driven by a drain at a circumference of nonzero radius. It is proved that in the homogeneous and initially quiescent gas, the drain is accompanied by the swirling motion of a gas. Curling motion is in the positive direction in the Northern Hemisphere and in the negative direction in case of the Southern hemisphere. An integration of the system of ordinary differential equations results in a solution with zero curling at the given external circumference of the flow and large swirl at the interior circumference of the drain flow. Numerical method of characteristics was used to construct SUGD dependent solution that describes plane spiral flow with given flux.
[full text]
Keywords: polytropic gas, spiral flows, analytical solutions, method of characteristic
Author(s):
Bautin Sergey Petrovich
Dr. , Associate Professor
Position: Professor
Office: Snezhinsk Institute of Physics and Technology National Research Nuclear University MEPhI
Address: 456776, Russia, Snezhinsk, Komsomol str., 8
Phone Office: (343) 221 25 49
E-mail: SPBautin@mail.ru
SPIN-code: 4343-3821Roschupkin Alexei Vasilevich
PhD. , Associate Professor
Office: Ural State University of Railway Transport
Address: 620034, Russia, Ekaterinburg, Komsomol str., 8
Phone Office: (3432) 585566
E-mail: alex@eleview.com
Bibliography link:
Bautin S.P., Roschupkin A.V. Analytical and numerical construction for solutions of gas dynamics equations with spiral nature // Computational technologies. 2011. V. 16. ¹ 1. P. 18-29
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