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The study of nonlinear wave processes on the surface of the liquid in the electric field

Abstract

The study of nonlinear wave processes on the surface of the liquid in the electric field

Egereva E.N., Lopatko A.V.

Incoming article date: 12.12.2018

The dependence of the values characterizing the propagation of nonlinear waves on the surface of a liquid conductor on the electric field strength and on the wavelength is described. Electrohydrodynamic waves are investigated, namely, the motion of drops, convective motion of liquid, deformation of drops and bubbles in the applied electric field, propagation of surface waves in a linear approximation are considered. A mathematical model of nonlinear wave propagation on the charged surface of a liquid conductor is constructed. The graphs of the dependence of the wave oscillation frequency on the electric field strength and phase velocity on the wavelength are plotted.

Keywords: nonlinear surface waves, liquid conductor, dielectric constant, phase velocity, magnetic field strength, surface charge