Magneto-convection in an anisotropic porous layer with Soret effect

► In this paper thermal instability in an electrically conducting two component Boussinesq fluid-saturated-porous medium has been investigated, in the presence of Soret coefficient and subjected to a constant vertical magnetic field. ► Performing linear and non-linear stability analysis, the effect of magnetic field on the stability of flow through porous medium has been investigated. ► The normal mode method is used in linear stability analysis, while a weak non-linear analysis based on a minimal representation of double Fourier series method is used in non-linear analysis. ► The critical Rayleigh number, wave number for stationary and oscillatory modes, and frequency of oscillations are obtained analytically using linear theory. ► Effects of various parameters on stationary, oscillatory and finite amplitude convection, rate of heat and mass transfer have been obtained analytically and presented graphically.