Effect of Surface Tension and Hall Currents on Rotatory Magneto-Thermosolutal Convection of Ferromag

The influence of Hall currents, rotation, surface tension, and the solute parameter on the beginning of convection in a porous medium layer saturated by an electrically conducting ferromagnetic fluid heated from below is explored in this work utilising linear stability analysis. The momentum equations for a porous medium are modelled using Darcy's law for ferromagnetic fluid. The polarisation force and body pair effects are accounted for in the model. The physical problem's linked partial differential equations are reduced to a set of ordinary differential equations using the normal mode approach. For the situation of stationary convection, these equations are solved analytically for stress-free boundaries, and numerical results are derived by deriving approximate solutions using the Galerkin technique using the programme Mathematica. It is discovered that the magnetic field and magnetization have a stabilising effect, delaying the start of thermal instability; whereas Hall currents and the solute parameter expedite the development of thermal instability. Under some conditions, the medium's permeability and rotation speed the initiation of convection. The impact of surface tension absorbs the energy of any disturbance more effectively than the magnetic field, and thus is crucial in generating total stability.

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