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Nonlinear periodic waves at the charged surface of an electrically conducting viscous liquid

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Abstract

A correct solution to the problem of periodic-wave propagation along the charged surface of a deep viscous liquid in the second-order approximation in the wave amplitude is given for the first time. It is shown that the second-order correction in the amplitude to the profile of the wave being considered plays a decisive role in the realization of the instability of a liquid with respect to its intrinsic charge.

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Authors and Affiliations

  1. Yaroslavl State University, Sovetskaya ul. 14, Yaroslavl, 150000, Russia

    D. F. Belonozhko & A. I. Grigor’ev

Authors
  1. D. F. Belonozhko
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  2. A. I. Grigor’ev
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__________

Translated from Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 73, No. 11, 2003, pp. 37–46.

Original Russian Text Copyright © 2003 by Belonozhko, Grigor’ev.

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Belonozhko, D.F., Grigor’ev, A.I. Nonlinear periodic waves at the charged surface of an electrically conducting viscous liquid. Tech. Phys. 48, 1396–1406 (2003). https://doi.org/10.1134/1.1626770

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  • DOI: https://doi.org/10.1134/1.1626770

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