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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2001, Volume 73, Issue 10, Pages 613–617
(Mi jetpl4403)
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This article is cited in 47 scientific papers (total in 47 papers)
CONDENSED MATTER
Formation of conic cusps at the surface of liquid metal in electric field
N. M. Zubarev Institute of Electrophysics, Ural Branch, Russian Academy of Sciences, Ekaterinburg
Abstract:
The formation dynamics is studied for a singular profile of a surface of an ideal conducting fluid in an electric field. Self-similar solutions of electrohydrodynamic equations describing the fundamental process of formation of surface conic cusps with angles close to the Taylor cone angle $98.6^{\circ}$ are obtained. The behavior of physical quantities (field strength, fluid velocity, surface curvature) near the singularity is established.
Received: 14.03.2001 Revised: 16.04.2001
Citation:
N. M. Zubarev, “Formation of conic cusps at the surface of liquid metal in electric field”, Pis'ma v Zh. Èksper. Teoret. Fiz., 73:10 (2001), 613–617; JETP Letters, 73:10 (2001), 544–548
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https://www.mathnet.ru/eng/jetpl4403 https://www.mathnet.ru/eng/jetpl/v73/i10/p613
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