This article is cited in 48 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.

PACS: 03.40.Gc, 47.20.Ma, 47.65.+a

Received: 14.03.2001
Revised: 16.04.2001

 English version: Journal of Experimental and Theoretical Physics Letters, 2001, 73:10, 544–548

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