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Exact partial solutions for the surface dynamics of a dielectric liquid with a charged surface in the gravitational field

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Abstract

We study the evolution of instability in the boundary of a perfect dielectric liquid with a free surface charge in an external electric field. Conformal variables are used to find exact partial solutions to the equations of motion for the case when the charge completely shields the field above the liquid, the electrostatic and gravitational forces being taken into account. The solutions describe the development of instability of the initially planar boundary until sharp dimples are formed on it.

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Authors and Affiliations

  1. Institute of Electrophysics, Ural Branch, Russian Academy of Sciences, ul. Amundsena 106, Yekaterinburg, 620016, Russia

    N. M. Zubarev & O. V. Zubareva

  2. Institute of Theoretical and Applied Mechanics, Siberian Branch, Russian Academy of Sciences, Institutskaya ul. 4/1, Novosibirsk, 630090, Russia

    G. A. Ruev

Authors
  1. N. M. Zubarev
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  2. O. V. Zubareva
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  3. G. A. Ruev
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Correspondence to N. M. Zubarev.

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Original Russian Text © N.M. Zubarev, O.V. Zubareva, G.A. Ruev, 2010, published in Zhurnal Tekhnicheskoĭ Fiziki, 2010, Vol. 80, No. 7, pp. 153–155.

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Zubarev, N.M., Zubareva, O.V. & Ruev, G.A. Exact partial solutions for the surface dynamics of a dielectric liquid with a charged surface in the gravitational field. Tech. Phys. 55, 1068–1070 (2010). https://doi.org/10.1134/S1063784210070261

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  • DOI: https://doi.org/10.1134/S1063784210070261

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