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Formation of Regions with High Energy and Pressure Gradients at the Free Surface of Liquid Dielectric in a Tangential Electric Field

  • E. A. Kochurin
Article
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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 in the initial stage 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 the electric field and fluid velocity is accompanied by breaking of surface waves; the boundary inclination angle tends to 90◦, and the surface curvature increases without bound.

Keywords

free surface nonlinear waves electric field electrohydrodynamics wave breaking liquid dielectrics 

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© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Institute of Electrophysics, Ural BranchRussian Academy of SciencesYekaterinburgRussia

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