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Formation of Conic Cusps at the Surface of Liquid Metal in Electric Field

2001/05/01 by N. M. Zubarev, Н. М. Зубарев, Nikolay M. Zubarev
Biochemistry, Genetics and Molecular Biology · Engineering · Physics and Astronomy · #Electrohydrodynamics and Fluid Dynamics #Fluid Dynamics and Heat Transfer #Magnetic and Electromagnetic Effects #cond-mat.soft #physics.class-ph #physics.flu-dyn

paper · pdf · doi:10.1134/1.1387524

published as JETP Letters Vol. 73, No 10, 2001, pp. 544-548 · LaReX, 10 pages, 1 figure

arxiv created 2004/12/09 · arxiv updated 2015/06/26

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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