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JOURNALS // Matematicheskoe modelirovanie // Archive

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.

Received: 11.11.2019
Revised: 13.01.2020
Accepted: 27.01.2020

DOI: 10.20948/mm-2020-07-01


 English version:
Mathematical Models and Computer Simulations, 2021, 13:2, 181–194


© Steklov Math. Inst. of RAS, 2024