Energy stability of modulation driven porous convection with magnetic field

Free convective onset in a bottom heated porous medium under the influence of transverse magnetic field is studied within the framework of nonlinear theory. Simple harmonic time modulation is imposed on either the bounding surface temperature or the gravitational field acting on the medium. The Darcy–Lapwood–Brinkman model of flow through porous media is employed with two basic types of physical boundary conditions. The generalized energy...