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Rayleigh-Taylor Instability through Porous Medium of Two Viscoelastic (Maxwellian) Superposed Fluids

  • Kumar, Pardeep
  • Mohan, Hari
An attempt has been made to investigate the instability of the plane interface between two Maxwellian viscoelastic superposed fluids in the presence of uniform rotation and variable magnetic field through porous medium. Following the linearized stability theory and normal mode analysis, the dispersion relation is obtained. The case of two uniform Maxwellian viscoelastic fluids separated by a horizontal boundary is studied. The stability analysis has been carried out, for mathematical simplicity, for highly viscous fluids of equal kinematic viscosities and equal Alfve'n velocities of the two fluids. It is found that for potentially stable configuration, the system is stable for disturbances of all wave numbers. However, the magnetic field succeeds in stabilizing certain wave-number range, which was unstable in the absence of magnetic field and rotation for the potentially unstable configuration. Sub cases of magnetic free and rotation free configurations are also considered, separately.
Select Volume / Issue:
Year:
2014
Type of Publication:
Article
Keywords:
Maxwellian Viscoelastic Fluid; Porous Medium; Rayleigh-Taylor Instability; Uniform Rotation; Variable Magnetic Field17
Journal:
IJASM
Volume:
1
Number:
2
Pages:
68-73
Month:
November
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