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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2014, Volume 55, Issue 2, Pages 53–67
(Mi pmtf1080)
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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
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
Linking options:
https://www.mathnet.ru/eng/pmtf1080 https://www.mathnet.ru/eng/pmtf/v55/i2/p53
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