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Formation of Weak Singularities on the Surface of a Dielectric Fluid in a Tangential Electric Field

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Abstract

The process of interaction between nonlinear waves on a free surface of a nonconducting fluid in a strong tangential electric field is simulated numerically (effects of the force of gravity and capillarity are neglected). It is shown that singular points are formed at the fluid boundary in a finite time; at these points, the boundary curvature significantly increases and undergoes a discontinuity. The amplitude and slope angles of the boundary remain small. The singular behavior of the system is demonstrated by spectral functions of the fluid surface—they acquire a power dependence. Near the singularity, the boundary curvature demonstrates a self-similar behavior typical for weak root singularities.

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Authors and Affiliations

  1. Institute of Electrophysics, Ural Branch, Russian Academy of Sciences, 620016, Yekaterinburg, Russia

    E. A. Kochurin

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  1. E. A. Kochurin
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Correspondence to E. A. Kochurin.

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Translated by A. Nikol’skii

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Kochurin, E.A. Formation of Weak Singularities on the Surface of a Dielectric Fluid in a Tangential Electric Field. Tech. Phys. Lett. 45, 65–68 (2019). https://doi.org/10.1134/S1063785019020081

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  • DOI: https://doi.org/10.1134/S1063785019020081

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