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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2000, Volume 41, Issue 2, Pages 3–10
(Mi pmtf2892)
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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
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
Linking options:
https://www.mathnet.ru/eng/pmtf2892 https://www.mathnet.ru/eng/pmtf/v41/i2/p3
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Abstract page: | 25 | Full-text PDF : | 8 |
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