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

Statistics – Computation

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Computational Fluid Dynamics, Incompressible Fluids, Magnetic Field Configurations, Porosity, Rotating Fluids, Taylor Instability, Perturbation Theory, Stabilization, Variational Principles, Viscous Fluids

Scientific paper

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 2D 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 semiinfinite fluid in which density has a 1D (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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