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Rayleigh Taylor Instability of Two Rotating Maxwellian Superposed Fluid with Variable Magnetic Field in Porous Medium


Affiliations
1 Department of Mathematics, Centre of Excellence, Sanjauli Shimla (H.P)-171006, India
2 Department of Mathematics, St. Bede’s College, Shimla (H.P)171002, India
     

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The instability of the plane interface between two viscoelastic (Maxwellian) superposed fluids in porous medium in the presence of uniform rotation and variable magnetic field is considered. The magnetic field, the viscosity and the density are assumed to be exponentially varying. For stable density stratification, the system is found to be stable for disturbances of all wave numbers. The magnetic field stabilizes the potentially unstable stratification for small wave-length perturbations which are otherwise unstable. The long wave-length perturbations remain unstable and are not stabilized by magnetic field. Rotation does not affect the stability or instability, as such, of stratification.

Keywords

Rayleigh-Taylor Instability, Maxwellian Viscoelastic Fluids, Variable Magnetic Field, Uniform Rotation, Porous Medium.
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  • Rayleigh Taylor Instability of Two Rotating Maxwellian Superposed Fluid with Variable Magnetic Field in Porous Medium

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Authors

Chander Bhan Mehta
Department of Mathematics, Centre of Excellence, Sanjauli Shimla (H.P)-171006, India
Susheel Kumar
Department of Mathematics, St. Bede’s College, Shimla (H.P)171002, India

Abstract


The instability of the plane interface between two viscoelastic (Maxwellian) superposed fluids in porous medium in the presence of uniform rotation and variable magnetic field is considered. The magnetic field, the viscosity and the density are assumed to be exponentially varying. For stable density stratification, the system is found to be stable for disturbances of all wave numbers. The magnetic field stabilizes the potentially unstable stratification for small wave-length perturbations which are otherwise unstable. The long wave-length perturbations remain unstable and are not stabilized by magnetic field. Rotation does not affect the stability or instability, as such, of stratification.

Keywords


Rayleigh-Taylor Instability, Maxwellian Viscoelastic Fluids, Variable Magnetic Field, Uniform Rotation, Porous Medium.

References