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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
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
Linking options:
https://www.mathnet.ru/eng/pmtf621 https://www.mathnet.ru/eng/pmtf/v59/i1/p91
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