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Title: Exact solutions for the evolution of a bubble in an ideal liquid in a uniform external electric field

The dynamics of a bubble in a dielectric liquid under the influence of a uniform external electric field is considered. It is shown that in the situation where the boundary motion is determined only by electrostatic forces, the special regime of fluid motion can be realized for which the velocity and electric field potentials are linearly related. In the two-dimensional case, the corresponding equations are reduced to an equation similar in structure to the well-known Laplacian growth equation, which, in turn, can be reduced to a finite number of ordinary differential equations. This allows us to obtain exact solutions for asymmetric bubble deformations resulting in the formation of a finite-time singularity (cusp)
Authors:
;  [1]
  1. Russian Academy of Sciences, Institute of Electrophysics (Russian Federation)
Publication Date:
OSTI Identifier:
22472427
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Experimental and Theoretical Physics; Journal Volume: 120; Journal Issue: 1; Other Information: Copyright (c) 2015 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BUBBLES; DEFORMATION; DIELECTRIC MATERIALS; DIFFERENTIAL EQUATIONS; ELECTRIC FIELDS; EXACT SOLUTIONS; LAPLACIAN; LIQUIDS; POTENTIALS; SINGULARITY; TWO-DIMENSIONAL SYSTEMS; VELOCITY