Anisotropic inertia effect in microfluidic porous thermosolutal convection

The effect of an anisotropic inertia coefficient in the Darcy equations is studied. How such anisotropy affects the critical Rayleigh number for the onset of convective motion in a porous layer with thermal and solutal effects is analyzed quantitatively. The mathematical analyses employed involve both linear instability techniques and the energy method for nonlinear stability.