Formation of a Small-Scale Chaotic Relief on the Free Surface of a Dielectric Liquid in a Tangential Electric Field

This work presents three-dimensional direct numerical simulations of chaotic dynamics of the free surface of a dielectric liquid subjected to an external horizontal electric field. The computational model includes the effects of pumping (mechanical forcing) and dissipation of energy (viscosity). The...

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Bibliographic Details
Main Authors: Kochurin, Evgeny A., Gashkov, Mikhail A., Zubarev, Nikolay M.
Format: Conference Proceeding
Language:English
Subjects:
dielectric liquids
electric field
nonlinear waves
Numerical simulation
Potential energy
Rough surfaces
Simulation
Surface roughness
Surface waves
Viscosity
wave turbulence
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Summary:This work presents three-dimensional direct numerical simulations of chaotic dynamics of the free surface of a dielectric liquid subjected to an external horizontal electric field. The computational model includes the effects of pumping (mechanical forcing) and dissipation of energy (viscosity). The transition from classical turbulence of dispersive capillary waves (zero field) to anisotropic electrohydrodynamic wave turbulence is numerically observed for the first time. The simulation results reproduce well the predictions of weak turbulence theory for purely capillary waves. In the strong-field limit, when the fluid motion becomes highly anisotropic, a cascade of small-scale capillary waves propagating perpendicular to the external field is formed. In this regime of motion, a new turbulence spectrum is realized, which is different from the classical spectrum of capillary wave turbulence.
ISSN:2153-3733
DOI:10.1109/ICDL49583.2022.9830971