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

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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.

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Authors and Affiliations

  1. Institute of Electrophysics, Ural Branch, Russian Academy of Sciences, Yekaterinburg, Russia

    N. M. Zubarev & E. A. Kochurin

Authors
  1. N. M. Zubarev
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  2. E. A. Kochurin
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Correspondence to N. M. Zubarev.

Additional information

Original Russian Text © N.M. Zubarev, E.A. Kochurin, 2011, published in Pis’ma v Zhurnal Tekhnicheskoi Fiziki, 2011, Vol. 37, No. 20, pp. 70–74.

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Zubarev, N.M., Kochurin, E.A. Nonlinear dynamics of interface between dielectric liquids in vertical electric and gravity fields. Tech. Phys. Lett. 37, 974–976 (2011). https://doi.org/10.1134/S1063785011100300

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  • DOI: https://doi.org/10.1134/S1063785011100300

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