An exact solution to the problem of double diffusive Marangoni convection in a layer bounded by isothermal and isohaline boundaries

The problem of Double Diffusive Marangoni Convectionis investigated in a two -layer system comprising an incompressible two component fluid saturated, densely packed porous layer over which lies a layer of the same fluid. The lower rigid surface of the porous layer and the upper free surface are isothermal to temperature and isohaline to salinity perturbations. At the upper free surface, the surface tension effects depending on temperature and salinities are considered. At the interface, the normal and tangential components of velocity, heat, heat flux, mass and mass flux are assumed to be continuous. The resulting Eigenvalue problem is solved exactly and analytical expression of the Thermal Marangoni Number is obtained. Effects of variation of different physical parameters on the Thermal Marangoni Number are investigated in detail.