A linear stability analysis applied to a system consisting of salt-finger convection in a horizontal porous layer superposes a fluid layer affected by rotation and vertical linear magnetic field on both layers. Flow in porous medium is assumed to be governed by Darcy-Brinkman law. Numerical solutions are obtained by using the method of expansion of Legendre polynomials. We conclude that the fluid becomes more stable when the rotation of the fluid increases and that the presence of magnetic field has stabilizing effect on the system.

Navier-Stokes equation, Darcy-Brinkman law, Legendre polynomials, salt concentration, vertical linear magnetic field.