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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2014, Volume 55, Issue 2, Pages 159–167
(Mi pmtf1089)
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This article is cited in 1 scientific paper (total in 1 paper)
Steady vortex flows of a self-gravitating gas
D. V. Parshina, A. A. Cherevkoab, A. P. Chupakhinab a Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russia
b Novosibirsk State University, Novosibirsk, 630090, Russia
Abstract:
An exact solution of equations of steady motion of a self-gravitating gas is found. This solution describes a vortex flow of the gas from the surface of a spherical source and is partly invariant with respect to the group of rotations (Ovsyannikov vortex, singular vortex). The factor-system of the solution is reduced to finite formulas and one ordinary differential equation of the third order. Various regimes of gas motion described by this solution are determined: unlimited spreading of the gas with swirling from the surface of a spherical source and gas exhaustion with formation of a sphere with elevated density at a finite distance from this source.
Keywords:
self-gravitating gas, Ovsyannikov vortex, partly invariant solution, group of rotations, vortex flow of the gas, spherical source.
Received: 30.09.2013
Citation:
D. V. Parshin, A. A. Cherevko, A. P. Chupakhin, “Steady vortex flows of a self-gravitating gas”, Prikl. Mekh. Tekh. Fiz., 55:2 (2014), 159–167; J. Appl. Mech. Tech. Phys., 55:2 (2014), 327–334
Linking options:
https://www.mathnet.ru/eng/pmtf1089 https://www.mathnet.ru/eng/pmtf/v55/i2/p159
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