Nonlinear dynamics of interface between dielectric liquids in vertical electric and gravity fields

N. M. Zubarev, E. A. Kochurin

Institute of Electrophysics, Ural Branch, Russian Academy of Sciences, Ekaterinburg

Abstract: The development of instability on the interface between dielectric liquids in vertical electric and gravity fields has been studied. The possibility of a special regime of motion is established, in which the velocity potential is linearly related to the electric field potential. An integro-differential equation is derived for this regime, which describes a weakly nonlinear evolution of the interface. This equation admits the existence of broad classes of exact solutions that determine the dynamics of both periodic and localized perturbations of the interface.

Received: 10.05.2011

 English version: Technical Physics Letters, 2011, 37:10, 974–976

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