TY - JOUR

T1 - Suppression of Rayleigh-Taylor instability using electric fields

AU - Barannyk, Lyudmyla L.

AU - Papageorgiou, Demetrios T.

AU - Petropoulos, Peter G.

N1 - Funding Information:
The work of LLB was partly supported by the University Research Council Seed Grant, University of Idaho. The work of DTP and PGP was partly supported by the National Science Foundation grant DMS-0072228.

PY - 2012/2

Y1 - 2012/2

N2 - 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.

AB - 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.

KW - Electric fields

KW - Rayleigh-Taylor instability

KW - Solitary waves

KW - Traveling waves

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U2 - 10.1016/j.matcom.2010.11.015

DO - 10.1016/j.matcom.2010.11.015

M3 - Article

AN - SCOPUS:84858437937

SN - 0378-4754

VL - 82

SP - 1008

EP - 1016

JO - Mathematics and Computers in Simulation

JF - Mathematics and Computers in Simulation

IS - 6

ER -