Abstract
The effect of magnetic field along the vertical axis on thermoconvective instability in a ferromagnetic fluid saturating a rotating porous medium has been studied using a Darcy model. A linearized convective instability analysis predicts the critical temperature gradient when only magnetic and buoyancy mechanisms are in operation. For a fluid layer contained in between two free boundaries which are flat, the exact solution is derived and conditions for stationary and oscillatory instability have been obtained. In all cases it is found that the porous medium of small permeability and large rotation tend to stabilize the system. The results are shown graphically as well as numerically. Here, effect of rotation has been found to get coupled with the effect of percolatory flow in a porous medium. Hence very large rotation is required for densely packed porous medium of small permeability to initiate oscillatory convection. The stabilizing effect of rotation is negligible for a medium of very low permeability. Magnetization tends to destabilize the fluid and convection starts much earlier.
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