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Zhurnal Tekhnicheskoi Fiziki, 2016, Volume 86, Issue 6, Pages 28–36
(Mi jtf6521)
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Gases and Fluids
Equilibrium configurations of a jet of an ideally conducting liquid in an external nonuniform magnetic field
N. M. Zubarev, O. V. Zubareva Institute of Electrophysics, Ural Branch, Russian Academy of Sciences, Ekaterinburg
Abstract:
Possible equilibrium configurations of the free surface of a jet of an ideally conducting liquid placed in a nonuniform magnetic field are considered. The magnetic field is generated by two thin wires that are parallel to the jet and bear oppositely directed currents. Equilibrium is due to a balance between capillary and magnetic forces. For the plane symmetric case, when the jet deforms only in the plane of its cross section, two one-parameter families of exact solutions to the problem are derived using the method of conformal mapping. According to these solutions, a jet with an initially circular cross section deforms up to splitting into two separate jets. A criterion for jet splitting is derived by analyzing approximate two-parameter solutions.
Received: 14.05.2015
Citation:
N. M. Zubarev, O. V. Zubareva, “Equilibrium configurations of a jet of an ideally conducting liquid in an external nonuniform magnetic field”, Zhurnal Tekhnicheskoi Fiziki, 86:6 (2016), 28–36; Tech. Phys., 61:6 (2016), 826–834
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https://www.mathnet.ru/eng/jtf6521 https://www.mathnet.ru/eng/jtf/v86/i6/p28
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Abstract page: | 27 | Full-text PDF : | 6 |
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