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Matematicheskoe modelirovanie, 2020, Volume 32, Number 7, Pages 3–23
DOI: https://doi.org/10.20948/mm-2020-07-01 (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
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DOI: https://doi.org/10.20948/mm-2020-07-01
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, ïðîåêò 0314-2016-0013
Received: 11.11.2019
Revised: 13.01.2020
Accepted: 27.01.2020
English version:
Mathematical Models and Computer Simulations, 2021, Volume 13, Issue 2, Pages 181–194
DOI: https://doi.org/10.1134/S2070048221020022
Document Type: Article
Language: Russian
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; Math. Models Comput. Simul., 13:2 (2021), 181–194
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}
\transl
\jour Math. Models Comput. Simul.
\yr 2021
\vol 13
\issue 2
\pages 181--194
\crossref{https://doi.org/10.1134/S2070048221020022}
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