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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2019, Volume 60, Issue 3, Pages 38–44
DOI: https://doi.org/10.15372/PMTF20190304 (Mi pmtf435) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Unsteady flow of an electrically conducting Bingham fluid in a plane magnetohydrodynamic channel

V. I. Vishnyakov, S. M. Vishnyakova, P. V. Druzhinin, L. D. Pokrovskii

Bauman Moscow State Technical University, Moscow, 105005, Russia
Full-text PDF (267 kB) Citations (1)
DOI: https://doi.org/10.15372/PMTF20190304
Abstract: The influence of a sudden change in the external magnetic field on the flow of an electrically conducting Bingham fluid in a two-dimensional channel is considered. It is demonstrated that a method of independent descriptions of the flow in plastic and viscous regions can be used for studying magnetohydrodynamic flows of the Bingham fluid. An exact equation is derived for the position of the plastic flow region boundary as a function of time and magnetic field induction. It is shown that the corresponding Cauchy problem has a unique asymptotically stable solution. Results of numerical integration for some values of parameters are presented; these result confirm the qualitative conclusions.
Keywords: magnetorheology, plane channel, electrically conducting Bingham fluid, magnetic field.
Received: 15.03.2018
Revised: 06.11.2018
Accepted: 26.11.2018
English version:
Journal of Applied Mechanics and Technical Physics, 2019, Volume 60, Issue 3, Pages 432–437
DOI: https://doi.org/10.1134/S0021894419030040
Bibliographic databases:
Document Type: Article
UDC: 537.84
Language: Russian
Citation: V. I. Vishnyakov, S. M. Vishnyakova, P. V. Druzhinin, L. D. Pokrovskii, “Unsteady flow of an electrically conducting Bingham fluid in a plane magnetohydrodynamic channel”, Prikl. Mekh. Tekh. Fiz., 60:3 (2019), 38–44; J. Appl. Mech. Tech. Phys., 60:3 (2019), 432–437
Citation in format AMSBIB
\Bibitem{VisVisDru19}
\by V.~I.~Vishnyakov, S.~M.~Vishnyakova, P.~V.~Druzhinin, L.~D.~Pokrovskii
\paper Unsteady flow of an electrically conducting Bingham fluid in a plane magnetohydrodynamic channel
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2019
\vol 60
\issue 3
\pages 38--44
\mathnet{http://mi.mathnet.ru/pmtf435}
\crossref{https://doi.org/10.15372/PMTF20190304}
\elib{https://elibrary.ru/item.asp?id=38162697}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2019
\vol 60
\issue 3
\pages 432--437
\crossref{https://doi.org/10.1134/S0021894419030040}
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  • https://www.mathnet.ru/eng/pmtf/v60/i3/p38
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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