Soret effect on thermosolutal convection developed in a horizontal shallow porous layer salted from below and subject to cross fluxes of heat

Combined effect of thermodiffusion and lateral heating on double diffusive natural convection in a horizontal porous layer, filled with a binary fluid and subjected to uniform fluxes of heat and mass on its long sides, is studied analytically and numerically. The short sides of the layer are impermeable to mass transfer and exposed to a perturbating constant heat flux. The governing parameters of problem under study are the Rayleigh number RT, the Lewis number Le, the buoyancy ratio N, the separation parameter φ, the ratio of the horizontal to vertical heat flux a and the aspect ratio Ar of the layer. The thermodiffusion effect on the multiplicity of solutions is studied. It is demonstrated that the φ–N plane can be divided into four regions presenting different behaviors. The heat transfer is found to be considerably affected by the Soret effect.