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In the present paper, the effect of temperature dependent viscosity on a Soret driven ferrothermohaline convection heated from below and salted from above subjected to a transverse uniform magnetic field in the presence of an anisotropic porous medium using Brinkman model is studied. For the case of two free boundaries, an exact solution is obtained using a linear stability analysis and normal mode technique is applied. The effect of salinity has been included in magnetization and density of the fluid. The critical thermal magnetic Rayleigh number Nsc for the onset of instability is calculated numerically for sufficiently large values of the buoyancy magnetization parameter M1 using the method of computational Galerkin technique. It is found that non-buoyancy magnetization parameter, permeability of the porous medium, anisotropy effect and temperature dependent viscosity stabilizes the system.
thermohaline convection, ferrofluid, anisotropy porous medium, Soret effect, brinkman model, temperature dependent viscosity, Galerkin technique
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