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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2015, Volume 56, Issue 3, Pages 30–38
DOI: https://doi.org/10.15372/PMTF20150304 (Mi pmtf938) 		 
Magnetic field effect on waves in a centrifuged layer of a rotating conducting viscous fluid

N. V. Klyuevaa, V. M. Sandalovb, M. E. Tkacha, I. N. Soldatova

a Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, Nizhny Novgorod, 603024, Russia
b Lobachevskii Nizhny Novgorod State University, Nizhny Novgorod, 603950, Russia
Full-text PDF (264 kB)
DOI: https://doi.org/10.15372/PMTF20150304
Abstract: This paper considers wave processes in a centrifuged layer of an incompressible viscous conducting fluid in an axial magnetic field in the cavity of a rapidly rotating infinite cylinder with insulating walls. Inertial modes-solutions of the linearized boundary-value problem of magnetohydrodynamics – are represented as a superposition of helical fields. Expressions for the vorticity parameters of the helical flows forming the inertial mode at a small Stewart number are given. Dispersion curves of inertial waves are constructed, and the influence of the magnetic field on the flow field is analyzed. The critical frequencies at which the lowest (surface) mode arises are determined. The spatial and temporal stability of the modes are investigated.
Keywords: conducting viscous fluid, inertial waves, rotating magnetic field.
Received: 28.01.2014
Revised: 30.05.2014
English version:
Journal of Applied Mechanics and Technical Physics, 2015, Volume 56, Issue 3, Pages 369–376
DOI: https://doi.org/10.1134/S0021894415030049
Bibliographic databases:
Document Type: Article
UDC: 534.1:532.59
Language: Russian
Citation: N. V. Klyueva, V. M. Sandalov, M. E. Tkach, I. N. Soldatov, “Magnetic field effect on waves in a centrifuged layer of a rotating conducting viscous fluid”, Prikl. Mekh. Tekh. Fiz., 56:3 (2015), 30–38; J. Appl. Mech. Tech. Phys., 56:3 (2015), 369–376
Citation in format AMSBIB
\Bibitem{KlySanTka15}
\by N.~V.~Klyueva, V.~M.~Sandalov, M.~E.~Tkach, I.~N.~Soldatov
\paper Magnetic field effect on waves in a centrifuged layer of a rotating conducting viscous fluid
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2015
\vol 56
\issue 3
\pages 30--38
\mathnet{http://mi.mathnet.ru/pmtf938}
\crossref{https://doi.org/10.15372/PMTF20150304}
\elib{https://elibrary.ru/item.asp?id=23947282}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2015
\vol 56
\issue 3
\pages 369--376
\crossref{https://doi.org/10.1134/S0021894415030049}
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