Numerical solution of a steady natural convection flow from a vertical plate with the combined effects of streamwise temperature and species concentration variations

This paper concerns the investigation of steady thermosolutal natural convection from a vertical plate with the combined effect of streamwise sinusoidal variations of both the surface temperature and the species concentration about their respective constant means. The governing boundary layer equations are reduced to nonsimilar form, and these are solved by the stream-function formulations, and by the subsequent application of the Keller box method. The effects of varying the governing nondimensional physical parameters are obtained in terms of the isolines of temperature, iso-species concentration and the streamlines. An asymptotic solution for large values of X, the distance from the leading edge, has also been obtained. It has been found that the two-term asymptotic analysis and the numerical results obtained from Keller-box method are in excellent agreement.