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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2013, Volume 54, Issue 1, Pages 3–12
(Mi pmtf1213)
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This article is cited in 3 scientific papers (total in 3 papers)
Equilibrium configurations of the surface of a perfectly conducting fluid in the magnetic field of a current-carrying linear conductor
N. M. Zubarev, O. V. Zubareva Institute of Electrophysics, Ural Branch, Russian Academy of Sciences, Ekaterinburg, 620016, Russia
Abstract:
This paper considers the problem of the possible equilibrium configurations of the free surface of a perfectly conducting fluid deformed by a nonuniform magnetic field. A family of exact solutions of the problem is obtained using conformal mappings; equilibrium is achieved due to the balance of capillary and magnetic pressures. According to these solution, the surface strain amplitude increases with increasing current and the hole is transformed into a two-dimensional bubble covering the linear conductor.
Keywords:
free surface, conducting fluid, magnetic field, linear current-carrying conductor, exact solutions.
Received: 15.05.2012
Citation:
N. M. Zubarev, O. V. Zubareva, “Equilibrium configurations of the surface of a perfectly conducting fluid in the magnetic field of a current-carrying linear conductor”, Prikl. Mekh. Tekh. Fiz., 54:1 (2013), 3–12; J. Appl. Mech. Tech. Phys., 54:1 (2013), 1–9
Linking options:
https://www.mathnet.ru/eng/pmtf1213 https://www.mathnet.ru/eng/pmtf/v54/i1/p3
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Abstract page: | 23 | Full-text PDF : | 7 |
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