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EN
Rayleigh-Taylor instability of two superposed Walters’ B has elastico-viscous fluids in a uniform magnetic field through a porous medium with different permeability been studied to include the suspended (dust) particles effect. Using normal mode technique a dispersion relation has been derived. The stability analysis has been carried out. The magnetic field stabilizes the unstable configuration for the wave number band K > K* in chich the system is unstable in the absence of the magnetic field. It is also found that for a potential stable arrangement for Walters B’ elastico-viscous fluids of different permeabilities in the presence of suspended particles through a porous medium the system is stable, whereas in the potentially unstable case instability of the system occurs.
EN
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 also been studied for electrically conducting Walters B' fluid in the presence of a variable horizontal magnetic field. For stable stratifications, the results are found to be the same as in the hydrodynamic case. However, for unstable stratifications, the magnetic field has astabilizing effect.
EN
A compressible, electrically conducting Walters'B' elastico-viscous fluid heated from below in the presence of a magnetic field and rotation is considered. At stationary convection, Walters' (Model B') elastico-viscous fluid behaves like a Newtonian fluid and compressibility, rotation are found to have a stabilizing effect whereas the suspended particles have a destabilizing effect on the thermal convection and magnetic field has a stabilizing effect under certain conditions. The presence of magnetic field and rotation introduces oscillatory modes in the system which were non-existent in their absence. Graphs have also been plotted by giving some numerical values to the parameters.
EN
This note is devoted to a mathematical study of a phenomenon of dead core which appears in a magnetohydrodynamic Couette flow. For this purpose, let us start by giving some considerations on the notion of Newtonian fluids.
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