Formation of Singularities at the Interface of Liquid Dielectrics in a Horizontal Electric Field in the Presence of Tangential Velocity Discontinuity
- Authors: Zubarev N.M.1,2, Kochurin E.A.1
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Affiliations:
- Institute of Electrophysics, Ural Branch
- Lebedev Physical Institute
- Issue: Vol 44, No 3 (2018)
- Pages: 195-198
- Section: Article
- URL: https://journals.rcsi.science/1063-7850/article/view/207430
- DOI: https://doi.org/10.1134/S1063785018030136
- ID: 207430
Cite item
Abstract
Nonlinear dynamics of the interface of dielectric liquids under the conditions of suppression of the Kelvin–Helmholz instability by a tangential electric field has been investigated. Two broad classes of exact analytical solutions to the equations of motion describing the evolution of spatially localized and periodic interface perturbations have been found. Both classes of solutions tend to the formation of strong singularities: interface discontinuities with formally infinite amplitudes. The discontinuity sign is determined by the sign of liquid velocity jump at the interface.
About the authors
N. M. Zubarev
Institute of Electrophysics, Ural Branch; Lebedev Physical Institute
Email: kochurin@iep.uran.ru
Russian Federation, Yekaterinburg, 620016; Moscow, 119991
E. A. Kochurin
Institute of Electrophysics, Ural Branch
Author for correspondence.
Email: kochurin@iep.uran.ru
Russian Federation, Yekaterinburg, 620016