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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2014, Volume 55, Issue 2, Pages 53–67 (Mi pmtf1080)  

This article is cited in 1 scientific paper (total in 1 paper)

Unsteady flows with a constant total pressure, described by the equations of ideal magnetohydrodynamics

S. V. Golovinab, M. N. Dudnikb

a Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University, Novosibirsk, 630090, Russia
Abstract: Exact solutions of the equations of ideal magnetohydrodynamics describing the class of unsteady flows of an electrically conducting fluid with a constant total pressure are constructed. The solutions are written in the Lagrange coordinate system; arbitrariness in its choice was used to parameterize magnetic field lines. The wide functional arbitrariness the solutions provide a significant variation in the picture of the described fluid motions. An example of unsteady flow of an ideal electrically conducting fluid in a cylindrical channel with fixed magnetic tubes is given.
Keywords: magnetohydrodynamics, exact solutions, total constant pressure.
Received: 30.09.2013
English version:
Journal of Applied Mechanics and Technical Physics, 2014, Volume 55, Issue 2, Pages 234–246
DOI: https://doi.org/10.1134/S0021894414020060
Bibliographic databases:
Document Type: Article
UDC: 533
Language: Russian
Citation: S. V. Golovin, M. N. Dudnik, “Unsteady flows with a constant total pressure, described by the equations of ideal magnetohydrodynamics”, Prikl. Mekh. Tekh. Fiz., 55:2 (2014), 53–67; J. Appl. Mech. Tech. Phys., 55:2 (2014), 234–246
Citation in format AMSBIB
\Bibitem{GolDud14}
\by S.~V.~Golovin, M.~N.~Dudnik
\paper Unsteady flows with a constant total pressure, described by the equations of ideal magnetohydrodynamics
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2014
\vol 55
\issue 2
\pages 53--67
\mathnet{http://mi.mathnet.ru/pmtf1080}
\elib{https://elibrary.ru/item.asp?id=21946326}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2014
\vol 55
\issue 2
\pages 234--246
\crossref{https://doi.org/10.1134/S0021894414020060}
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  • https://www.mathnet.ru/eng/pmtf1080
  • https://www.mathnet.ru/eng/pmtf/v55/i2/p53
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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