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The effect of magnetic field dependent (MFD) viscosity on the thermal convection in a ferrofluid layer saturating a sparsely distributed porous medium has been investigated by using the Darcy-Brinkman model in the simultaneous presence of a uniform vertical magnetic field and a uniform vertical rotation. A correction is applied to the study of Vaidyanathan et al. [11] which is very important in order...
The Rayleigh-Taylor instability of two superposed Walters B' elastico-viscous fluids is studied. For stable stratifications, the system is found to be stable or unstable under certain conditions. This is in contrast to the stability of two superposed Newtonian fluids where the system is stable for stable stratifications. However, the system is unstable for unstable stratifications. This problem has...
The problem of thermal instability of compressible, electrically conducting couple-stress fluid in the presence of a uniform magnetic field is considered. Following the linearized stability theory and normal mode analysis, the dispersion relation is obtained. For stationary convection, the compressibility, couple-stress and magnetic field postpone the onset of convection. Graphs have been plotted...
The Rayleigh-Taylor instability of a Newtonian viscous fluid overlying a couple-stress viscoelastic fluid through a porous medium is considered in the presence of a variable horizontal magnetic field. The stability analysis is carried out, for mathematical simplicity, for two highly viscous fluids of equal kinematic viscosities. For the stable configuration, the system is found to be stable or unstable...
The instability of streaming Walters B' elastico-viscous fluids in hydromagnetics through porous medium is considered. The case of two uniform streaming fluids separated by a common horizontal interface is considered. It is found that for the special case when perturbations in the direction of streaming are ignored, the system can be stable or unstable, depending upon kinematic viscoelasticity, medium...
Rayleigh-Taylor instability of Walters' B' elastico-viscous fluid through a porous medium is considered. For the stable configuration, the system is found to be stable or unstable if the kinematic viscoelasticity (assumed equal for both fluids) is less than or greater than the medium permeability divided by the medium porosity. However, the system is found to be unstable for the potentially unstable...
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