Magneto-convection of a binary micropolar fluid with suspended particles

The present paper investigates the effect of vertical magnetic field and dust particles on the stability of a micropolar fluid layer heated and soluted from below. The Lorentz force term is introduced due to the presence of a magnetic field, which gives rise to oscillatory motions in the system. The other reason for the introduction of overstable motions is the coupling between micropolar and thermosolutal effects. The normal mode technique, along with the Boussinesq approximation is used to derive the dispersion relation. The thermal Rayleigh number is found for both types of convections and it is observed that it is more for stationary motions than for oscillatory motions; except for high values of the suspended particles factor. The effect of solute Rayleigh number and Chandrasekhar number is to stabilize the micropolar fluid layer while dust particles hasten the onset of convection. Interestingly, as the suspended particle factor increases, the mode of instability shifts from overstability to stationary convection. The effect of micropolar coefficient of coupling is found to stabilize the fluid-particle layer for stationary convection. Some earlier known results are recovered as special cases from the present formulation.