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Formation of conic cusps at the surface of liquid metal in electric field

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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° are obtained. The behavior of physical quantities (field strength, fluid velocity, surface curvature) near the singularity is established.

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Authors and Affiliations

  1. Institute of Electrophysics, Ural Division, Russian Academy of Sciences, Yekaterinburg, 620016, Russia

    N. M. Zubarev

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  1. N. M. Zubarev
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Translated from Pis’ma v Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 73, No. 10, 2001, pp. 613–617.

Original Russian Text Copyright © 2001 by Zubarev.

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Zubarev, N.M. Formation of conic cusps at the surface of liquid metal in electric field. Jetp Lett. 73, 544–548 (2001). https://doi.org/10.1134/1.1387524

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  • DOI: https://doi.org/10.1134/1.1387524

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