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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:
    1. N.M. Zubarev, O.V. Zubareva, “Deformation of the free surface of a conducting fluid in the magnetic field of current-carrying linear conductors”, Journal of Magnetism and Magnetic Materials, 431 (2017), 222  crossref
    2. N.M. Zubarev, O.V. Zubareva, “Formation of rupture in a conducting fluid layer under the action of an oscillating tangential magnetic field”, Journal of Magnetism and Magnetic Materials, 431 (2017), 226  crossref
    3. N. M. Zubarev, O. V. Zubareva, “Exact solutions for equilibrium configurations of the surface of a conducting fluid in a nonuniform magnetic field”, Theoret. and Math. Phys., 188:3 (2016), 1394–1400  mathnet  mathnet  crossref  crossref  isi  scopus
    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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