The study of ferrothermohaline convection, double diffusive convection with Soret and Dufour effects have drawn the attention of researchers for the past four decades due to their remarkable applications. The Soret-driven ferrothermoconvective instability in a porous medium heated from below and salted from above has been analyzed using Darcy model for various values of parameters. A small thermal perturbation is applied to the basic state and linear stability analysis is used for which normal mode technique is applied. It is found that the presence of porous medium favours the onset of convection. The present work has been carried out both for oscillatory as well as stationary modes with graphical representation.

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The effect of Coriolis force on the Soret driven ferrothermohaline convection in a densely packed porous medium has been studied. A linear stability analysis is carried out using normal mode technique. It is found that stationary convection is favorable for the Darcy model, therefore oscillatory instability is studied. A small thermal perturbation is applied to the basic state and linear stability analysis is used for which the normal mode technique is applied. It is found that the presence of a porous medium favours the onset of convection. The porous medium is assumed to be variable and the effect of the permeable parameter is to destabilize the system. The present work has been carried out both for oscillatory as well as stationary instabilities. The results are depicted graphically.