Open AccessФормирование особенностей на поверхности раздела жидких диэлектриков в горизонтальном электрическом поле при наличии тангенциального разрыва скоростей
Author(s) -
Н.М. Зубарев,
Е.А. Кочурин
Publication year - 2018
Publication title -
pisʹma v žurnal tehničeskoj fiziki
Language(s) - English
Resource type - Journals
eISSN - 1726-7471
pISSN - 0320-0116
DOI - 10.21883/pjtf.2018.05.45705.17070
Subject(s) - classification of discontinuities , jump , discontinuity (linguistics) , instability , gravitational singularity , sign (mathematics) , amplitude , physics , electric field , dielectric , classical mechanics , interface (matter) , mechanics , mathematical analysis , mathematics , optics , bubble , quantum mechanics , maximum bubble pressure method
AbstractNonlinear 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.