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1 Applied Mechanics and Engineering

1 1999

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Stability of two superposed Walters? B'viscoelastic fluids in the presence of suspended particles and variable magnetic field in porous medium

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Sharma R. C. , Kango S. K.

1999

tom Vol. 4, no 2

255-269

The instability of plane interface between two superposed Walters' B' elastico-viscous fluids in porous medium has been studied to include the effects of suspended (dust) particles. It is found that the system is stable or unstable if the kinematic viscoelasticity (assumed equal for both fluids) is less than or greater than the medium permeability divided by medium porosity, for the potentially stable arrangement whereas the system is unstable for the potentially unstable arrangement. This problem has also been studied for electrically conducting Walters' fluid in the presence of a variable horizontal magnetic field. For a potentially stable case, the results are the same as in a hydrodynamic case. However, for a potentially unstable case, the magnetic field has got stabilizing effect and completely stabilizes certain wave-number band if kinematic viscoelasticity is less than the medium permeability divided by medium porosity.