Non - Darcian Effects of Uniform and Non -Uniform Salinity Gradients on the Onset of Triple Diffusive Magneto Convection in Composite Layers

Abstract

Non - Darcian and magnetic field effects of uniform and non-uniform salinity gradients on the onset of triple diffusive convection in a system of composite layers enclosing an incompressible, three component, electrically conducting fluid which lies above a saturated porous layer of the same fluid is studied analytically. The governing equations are solved by regular perturbation approach. The boundaries of thecomposite layers are considered to be rigid, insulating to heat and mass with magnetic field along vertical z – axis. At the interface, the velocity, shear stress, normal stress, heat, heat flux, mass and mass flux arepresumed to be continuous, intended for Darcy-Brinkman model. The critical Rayleigh number whichis the guiding principle for the stability of the system is accomplished for linear, parabolic and inverted salinity profiles. It is found that the magnetic field delays the triple diffusive magneto convection.