Suppression of the Instability of Rotating Flows

Zhilenko, D. Yu.; Krivonosova, O. E.

doi:10.1134/s1063785022040174

Cited by 1 publication

(1 citation statement)

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“…Melcher showed [2] that an external electric field directed normal to the surface of a nonconducting liquid causes its instability, while a tangential electric field, on the contrary, has a stabilizing effect. The practical interest in studying the electrohydrodynamics of the surface of liquids is determined by the possibility of controlling and stabilizing hydrodynamic instabilities [3][4][5][6]. Zubarev showed [7][8][9][10] that in the limits of a strong electric field, when the effects of gravity and capillarity are infinitesimal, the nonlinear dynamics of liquid boundaries can be effectively described analytically.…”

Section: Introductionmentioning

confidence: 99%

Fully Nonlinear Evolution of Free-Surface Waves with Constant Vorticity under Horizontal Electric Fields

Flamarion,

Kochurin,

Ribeiro-Jr

2023

Mathematics

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This work presents the results of a direct numerical simulation of the nonlinear free surface evolution of a finite-depth fluid with a linear shear flow under the action of horizontal electric fields. The method of time-dependent conformal transformation for the description of the combined effects of the electric fields and constant vorticity is generalized for the first time. The simulation results show that strong shear flow co-directed in the wave propagation direction leads to the formation of large-amplitude surface waves, and, for some limiting vorticity value, a wave breaking process with the formation of an air bubble in the liquid is possible. The oppositely directed shear flow can cause the retrograde motion of a surface wave (wave propagation in the opposite direction to the linear wave speed). The simulations conducted taking into account the electro-hydrodynamic effects demonstrate that a high enough external horizontal electric field suppresses these strongly nonlinear processes, and the surface waves tend to preserve their shape.

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