Suppression of Rayleigh-Taylor instability using electric fields

Document Type

Conference Proceeding

Publication Date

2-1-2012

Abstract

This study considers the stability of two stratified immiscible incompressible fluids in a horizontal channel of infinite extent. Of particular interest is the case with the heavier fluid initially lying above the lighter fluid, so that the system is susceptible to the classical Rayleigh-Taylor instability. An electric field acting in the horizontal direction is imposed on the system and it is shown that it can act to completely suppress Rayleigh-Taylor instabilities and produces a dispersive regularization in the model. Dispersion relations are derived and a class of nonlinear traveling waves (periodic and solitary) is computed. Numerical solutions of the initial value problem of the system of model evolution equations that demonstrate a stabilization of Rayleigh-Taylor instability due to the electric field are presented. © 2010 IMACS. Published by Elsevier B.V. All rights reserved.

Identifier

84858437937 (Scopus)

Publication Title

Mathematics and Computers in Simulation

External Full Text Location

https://doi.org/10.1016/j.matcom.2010.11.015

ISSN

03784754

First Page

1008

Last Page

1016

Issue

6

Volume

82

Grant

DMS-0072228

Fund Ref

National Science Foundation

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