Coupled heat and mass transfer in natural convection under flux condition along a vertical cone

Abstract

Concentration induced buoyancy forces superimposed on thermally induced ones, in flows generated adjacent to a vertical cone are studied analytically. The surface of the cone is subjected to uniform mass and/or heat flux. Numerical results are presented for the diffusion of common species into air when concentration buoyancy forces assist as well as oppose thermal buoyancy forces. The local Nusselt number and the local wall shear stress are found to increase and decrease as the buoyancy force from species diffusion aids or opposes, respectively, the thermal buoyancy force. The local Sherwood number increases with the increase of the thermal buoyancy force. At high Schmidt numbers tangential mass flow rates reach constant asymptotic values of increasing magnitude with the increase of the buoyancy force ratio.