Double-Diffusive Marangoni Convection In Superposed Fluid And Porous Layers

The Double-Diffusive Marangoni convection in a composite system comprised of an incompressible fluid-saturated porous layer underlying a layer of same fluid is considered. The lower surface of the porous layer is rigid and the upper free surface are considered to be insulating to temperature and solutes concentration perturbations. At the upper free surface, the surface tension effects depending on temperature and both the solute concentrations are considered. At the interface, the normal and tangential components of velocity, heat and solute concentrations and their fluxes are assumed to be continuous. The resulting eigen value problem is solved using Regular perturbation technique with wave number a as perturbation parameter and the expression for the Thermal Marangoni Number is obtained. The effect of variation of different physical parameters on the same is investigated in detail.