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JOURNALS // Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya // Archive

Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2010 Issue 4(78), Pages 21–27 (Mi vsgu164)

Mathematics

Dynamic of liquid ring, which have two viscosities

V. O. Bytev, E. A. Gerber

Dept. of Mathematical Modelling, Tyumen State University, Tyumen, 625003, Russia

Abstract: This work covers the planar rotationally symmetric movement of the ring of incompressible liquid with free borders in the non classical hydrodynamics model. Also the results of calculational modeling are presented and the analysis of impact of nondissipative viscosity on the dynamic of liquid ring is given.

Keywords: Navier–Stokes equations, hydrodynamics, free boundary.

UDC: 539

Received: 09.03.2010
Revised: 09.03.2010



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