Abstract
The influence of magnetic fields along the vertical axis on thermoconvective instability in a ferromagnetic fluid saturating a rotating porous medium has been studied using Brinkman model. A linearised convective instability analysis predicts the critical temperature gradient when only the magnetic mechanism is important as well as when both 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 stabilise the system. The results are shown graphically as well as numerically.
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