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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2000, Volume 41, Issue 2, Pages 3–10 (Mi pmtf2892)  

Natural oscillations of a liquid of finite electrical conduction in the presence of an external magnetic field

A. I. Zadorozhnyi, R. A. Gruntfest

Rostov State University, Rostov-on-Don 344007
Abstract: The effect of the finite electrical conduction (finiteness of the magnetic Reynolds number), which is considered a dissipative factor, on small natural oscillations of an ideal heavy liquid of finite depth whose free surface borders on vacuum is studied. A constant external horizontal magnetic field is applied to the liquid. The energy-balance equation is derived, and the theorem of wave attenuation with time is proved. Numerical calculations and the resulting asymptotic formulas give a complete pattern of the spectrum, including its continuous part. The amplitude-frequency characteristics of the wave modes are presented.
Received: 03.06.1998
Accepted: 20.01.1999
English version:
Journal of Applied Mechanics and Technical Physics, 2000, Volume 41, Issue 2, Pages 205–211
DOI: https://doi.org/10.1007/BF02465258
Bibliographic databases:
Document Type: Article
UDC: 533.951
Language: Russian
Citation: A. I. Zadorozhnyi, R. A. Gruntfest, “Natural oscillations of a liquid of finite electrical conduction in the presence of an external magnetic field”, Prikl. Mekh. Tekh. Fiz., 41:2 (2000), 3–10; J. Appl. Mech. Tech. Phys., 41:2 (2000), 205–211
Citation in format AMSBIB
\Bibitem{ZadGru00}
\by A.~I.~Zadorozhnyi, R.~A.~Gruntfest
\paper Natural oscillations of a liquid of finite electrical conduction in the presence of an external magnetic field
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2000
\vol 41
\issue 2
\pages 3--10
\mathnet{http://mi.mathnet.ru/pmtf2892}
\elib{https://elibrary.ru/item.asp?id=17261864}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2000
\vol 41
\issue 2
\pages 205--211
\crossref{https://doi.org/10.1007/BF02465258}
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