This article is cited 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.

UDC: 532.2

Received: 15.05.2012

 English version: Journal of Applied Mechanics and Technical Physics, 2013, 54:1, 1–9

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