Suppression of Rayleigh-Taylor instability using electric fields

  • Authors:

  • Lyudmyla L. Barannyk;Demetrios T. Papageorgiou;Peter G. Petropoulos

  • Affiliations:

  • Department of Mathematics, University of Idaho, P.O. Box 441103, Brink Hall 317, Moscow, ID 83844, United States;Department of Mathematics, Imperial College London, United Kingdom;Department of Mathematical Sciences, New Jersey Institute of Technology, United States

  • Venue:
  • Mathematics and Computers in Simulation
  • Year:
  • 2012

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Abstract

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.