Soret driven thermoconvective instability in multicomponent fluids has wide applications in heat and mass transfer. This paper deals with the theoretical investigation of the effect of rotation on a Soret-driven ferrothermohaline convection heated and soluted from below subjected to a transverse uniform magnetic field in the presence of dust particles saturating a porous medium. Brinkmann model is used. An exact solution is obtained for the case of two free boundaries. Both stationary and oscillatory instabilities are investigated using the linear stability analysis and normal mode technique. The oscillatory modes are introduced due to the presence of dust particles, the stable solute gradient and rotation and the oscillatory modes are not allowed in their absence. For the case of stationary convection, the non-buoyancy magnetization parameter, the dust particle parameter and large values of permeability of the porous medium destabilize the system. The soret coefficient, rotation and the stable solute gradient stabilize the system. The results are presented graphically.
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