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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2011, Volume 11, Issue 3(2), Pages 81–86
DOI: https://doi.org/10.18500/1816-9791-2011-11-3-2-81-86 (Mi isu252) 		 
Mechanics

Temperature distribution inside the ring of liquid with two free borders in the nonclassical model of hydrodynamics

V. O. Bytev, E. A. Gerber

Tyumen State University (Institute of Mathematics and Computer Sciences), Chair of Mathematical Modeling
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DOI: https://doi.org/10.18500/1816-9791-2011-11-3-2-81-86
Abstract: The article deals with the task to determine the velocity field and temperature field inside the insulated ring of incompressible viscous fluid with two free boundaries in the non-classical model of hydrodynamics. The solution to the Navier–Stokes equations and heat equation obtained by numerical methods. Analysis of the results of numerical experiments reveal the effect of nondissipative viscosity on the temperature distribution inside the ring.
Key words: hydrodynamics, Navier–Stokes equations, temperature distribution, liquid ring, free borders.
Document Type: Article
UDC: 539
Language: Russian
Citation: V. O. Bytev, E. A. Gerber, “Temperature distribution inside the ring of liquid with two free borders in the nonclassical model of hydrodynamics”, Izv. Saratov Univ. Math. Mech. Inform., 11:3(2) (2011), 81–86
Citation in format AMSBIB
\Bibitem{BytGer11}
\by V.~O.~Bytev, E.~A.~Gerber
\paper Temperature distribution inside the ring of liquid with two free borders in the nonclassical model of hydrodynamics
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2011
\vol 11
\issue 3(2)
\pages 81--86
\mathnet{http://mi.mathnet.ru/isu252}
\crossref{https://doi.org/10.18500/1816-9791-2011-11-3-2-81-86}
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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