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The rayleigh-taylor instability of a stratified rotating fluid through a porous medium in a two-dimensional magnetic field

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Abstract

The effect of finite conductivity on the Rayleigh-Taylor instability of an incompressible, viscous rotating fluid through a porous medium has been studied in the presence of a two-dimensional horizontal magnetic field. It has been shown that the solution is characterized by a variational principle. By making use of the existence of the variational principle, proper solutions have been obtained for a semi-infinite fluid in which density has a one-dimensional (exponential) vertical stratification. The dispersion relation has been derived and solved numerically. It is found that finite resistivity and porosity have a destabilizing effect on the Rayleigh-Taylor instability while rotation has a stabilizing effect.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Jodhpur, Jodhpur, India

    Shikha Oza & P. K. Bhatia

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  1. Shikha Oza
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  2. P. K. Bhatia
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Oza, S., Bhatia, P.K. The rayleigh-taylor instability of a stratified rotating fluid through a porous medium in a two-dimensional magnetic field. Astrophys Space Sci 199, 279–288 (1993). https://doi.org/10.1007/BF00613201

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  • DOI: https://doi.org/10.1007/BF00613201

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