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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2018, Volume 59, Issue 1, Pages 91–98
DOI: https://doi.org/10.15372/PMTF20180110
(Mi pmtf621)
 

This article is cited in 20 scientific papers (total in 20 papers)

Formation of regions with high energy and pressure gradients at the free surface of a liquid dielectric in a tangential electric field

E. A. Kochurin

Institute of Electrophysics, Ural Branch, Russian Academy of Sciences, Yekaterinburg, 620016, Russia
Abstract: The nonlinear dynamics of the free surface of an ideal incompressible non-conducting fluid with a high dielectric constant subjected to a strong horizontal electric field is simulated using the method of conformal transformations. It is shown that at initial stages of interaction of counter-propagating periodic waves of significant amplitude, there is a direct energy cascade leading to energy transfer to small scales. This results in the formation of regions with a steep wave front at the fluid surface, in which the dynamic pressure and the pressure exerted by the electric field undergo a discontinuity. It has been demonstrated that the formation of regions with high gradients of electric field and fluid velocity is accompanied by breaking of surface waves; the inclination angles of the boundary tend to 90$^\circ$C, and the surface curvature increases without bound.
Keywords: free surface, nonlinear waves, electric field, electrohydrodynamics, wave breaking, liquid dielectrics.
Received: 31.10.2016
Revised: 07.12.2016
English version:
Journal of Applied Mechanics and Technical Physics, 2018, Volume 59, Issue 1, Pages 79–85
DOI: https://doi.org/10.1134/S0021894418010108
Bibliographic databases:
Document Type: Article
UDC: 532.59
Language: Russian
Citation: E. A. Kochurin, “Formation of regions with high energy and pressure gradients at the free surface of a liquid dielectric in a tangential electric field”, Prikl. Mekh. Tekh. Fiz., 59:1 (2018), 91–98; J. Appl. Mech. Tech. Phys., 59:1 (2018), 79–85
Citation in format AMSBIB
\Bibitem{Koc18}
\by E.~A.~Kochurin
\paper Formation of regions with high energy and pressure gradients at the free surface of a liquid dielectric in a tangential electric field
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2018
\vol 59
\issue 1
\pages 91--98
\mathnet{http://mi.mathnet.ru/pmtf621}
\crossref{https://doi.org/10.15372/PMTF20180110}
\elib{https://elibrary.ru/item.asp?id=32474743}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2018
\vol 59
\issue 1
\pages 79--85
\crossref{https://doi.org/10.1134/S0021894418010108}
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  • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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