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This article is cited in 11 scientific papers (total in 11 papers)
Formation of weak singularities on the surface of a dielectric fluid in a tangential electric field
E. A. Kochurin Institute of Electrophysics, Ural Branch, Russian Academy of Sciences, Ekaterinburg
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.
Received: 24.10.2018
Citation:
E. A. Kochurin, “Formation of weak singularities on the surface of a dielectric fluid in a tangential electric field”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 45:3 (2019), 7–9; Tech. Phys. Lett., 45:2 (2019), 65–68
Linking options:
https://www.mathnet.ru/eng/pjtf5541 https://www.mathnet.ru/eng/pjtf/v45/i3/p7
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Abstract page: | 53 | Full-text PDF : | 11 |
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