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Formation of conic cusps at the surface of liquid metal in electric field
Authors:N. M. Zubarev
Affiliation:(1) Institute of Electrophysics, Ural Division, Russian Academy of Sciences, Yekaterinburg, 620016, Russia
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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