Effect of magnetic field dependent viscosity on ferroconvection in a sparsely distributed anisotropic porous medium in the presence of horizontal thermal gradient

The effect of magnetic field dependent viscosity on ferroconvection subjected to two dimensional magnetic field in an anisotropic sparsely distributed porous medium has been analyzed. The fluid layer is assumed to be bounded by free boundaries. The exact solution of constitutive equation is derived using linear theory. Wide range of values of the ratio of horizontal, vertical temperature gradient, anisotropic parameter, permeability of the porous medium, coefficient of magnetic dependent viscosity and the magnetization parameter have been considered. The system is found to stabilize only through stationary mode of instability. It is also seen that oscillatory instability cannot occur.