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Nonlinear dispersion relation for electrocapillary waves on the surface of a dielectric liquid

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Abstract

It is shown that the problem of determining the profile of an electrocapillary wave on the surface of the ideal dielectric liquid in a tangential electric field admits exact solution in the limiting case of a large permittivity of the liquid. An exact expression for the nonlinear dispersion relation between the frequency, wavenumber, and amplitude of the wave is obtained and analyzed.

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Authors and Affiliations

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

    N. M. Zubarev & O. V. Zubareva

Authors
  1. N. M. Zubarev
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  2. O. V. Zubareva
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Original Russian Text © N.M. Zubarev, O.V. Zubareva, 2006, published in Pis’ma v Zhurnal Tekhnicheskoĭ Fiziki, 2006, Vol. 32, No. 23, pp. 60–65.

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Zubarev, N.M., Zubareva, O.V. Nonlinear dispersion relation for electrocapillary waves on the surface of a dielectric liquid. Tech. Phys. Lett. 32, 1027–1029 (2006). https://doi.org/10.1134/S1063785006120091

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  • DOI: https://doi.org/10.1134/S1063785006120091

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