Steady vortex flows of a self-gravitating gas |
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Authors: | D V Parshin A A Cherevko A P Chupakhin |
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Institution: | 1. Lavrent’ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Scinces, Novosibirsk, 630090, Russia 2. Novosibirsk State University, Novosibirsk, 630090, Russia
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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. |
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