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.
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The effect of horizontal magnetic field is considered on the stability of stratified viscoelastic Walters' (Model B') fluid in the presence of rotation. In contrast to the Newtonian fluids, the system is found to be unstable for small wavelength perturbations for the case of stable stratification. It is also found that the magnetic field stabilizes the certain wave-number band for unstable stratification in the presence of rotation and this wave - number range increases with the increase in magnetic field and decreases with the increase in kinematic visco-elasticity.
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