Buoyancy Driven Convection Due to Thermal and Salinity Gradients in a Tilted Porous Slot

The stabilityof double diffusive convection driven by temperature and salinity gradients in a tilted porous slot saturated by porous media is investigated analytically using linear stability analysis. Here the boundaries are infinite and assumed to be free and isothermal, tilted at a small angle of inclination with respect to the horizontal. A sec - ond order perturbation method is employedin terms of small angle of inclination is used to determine the critical Rayleigh number and wave number at the critical point and is supported by numerical solution of the resulting differential equation at higher order of approximation for velocity, temperature and salinity. The method of solution and the principal results obtained are somewhat identical for horizontal boundaries and for slightly tilted slot as for as nature of flow and convective instability is concerned. But, however the expression shows a considerable deviation in the basic flow that imparts definite structure with the convection pattern under investigation