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Matem. Mod., 2020, Volume 32, Number 7, Pages 3–23 (Mi mm4194)  

Stationary von Karman vortex structures in the magnetohydrodynamical flows of rotating incompressible polymeric liquid

A. M. Blokhinab, R. E. Semenkoba

a Novosibirsk State University, Novosibirsk
b Sobolev Institute of Mathematics SB RAS, Novosibirsk

Abstract: We study the steady-state solutions for the problem of magnetohydrodyamical flow of incompressible polymeric liquid above the infinite flat disc. In the paper we are looking for the solutions similar to the von Karman self-similar solutions for the viscous liquid. We intoduce the examples of the numerical steady-state solutions for the various values of problem parameters.

Keywords: rheological model, rotating motion, magnetohydrodynamics, steady-state solutions.

Funding Agency Grant Number
Siberian Branch of Russian Academy of Sciences I.1.5, 0314-2016-0013


DOI: https://doi.org/10.20948/mm-2020-07-01

Full text: PDF file (524 kB)
References: PDF file   HTML file

Received: 11.11.2019
Revised: 13.01.2020
Accepted:27.01.2020

Citation: A. M. Blokhin, R. E. Semenko, “Stationary von Karman vortex structures in the magnetohydrodynamical flows of rotating incompressible polymeric liquid”, Matem. Mod., 32:7 (2020), 3–23

Citation in format AMSBIB
\Bibitem{BloSem20}
\by A.~M.~Blokhin, R.~E.~Semenko
\paper Stationary von Karman vortex structures in the magnetohydrodynamical flows of rotating incompressible polymeric liquid
\jour Matem. Mod.
\yr 2020
\vol 32
\issue 7
\pages 3--23
\mathnet{http://mi.mathnet.ru/mm4194}
\crossref{https://doi.org/10.20948/mm-2020-07-01}


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