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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2013, Volume 54, Issue 1, Pages 3–12 (Mi pmtf1213)  

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
Full-text PDF (248 kB) Citations (3)
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
English version:
Journal of Applied Mechanics and Technical Physics, 2013, Volume 54, Issue 1, Pages 1–9
DOI: https://doi.org/10.1134/S002189441301001X
Bibliographic databases:
Document Type: Article
UDC: 532.2
Language: Russian
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
Citation in format AMSBIB
\Bibitem{ZubZub13}
\by N.~M.~Zubarev, O.~V.~Zubareva
\paper Equilibrium configurations of the surface of a perfectly conducting fluid in the magnetic field of a current-carrying linear conductor
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2013
\vol 54
\issue 1
\pages 3--12
\mathnet{http://mi.mathnet.ru/pmtf1213}
\elib{https://elibrary.ru/item.asp?id=24115848}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2013
\vol 54
\issue 1
\pages 1--9
\crossref{https://doi.org/10.1134/S002189441301001X}
Linking options:
  • https://www.mathnet.ru/eng/pmtf1213
  • https://www.mathnet.ru/eng/pmtf/v54/i1/p3
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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