Coupled heat and mass transfer by natural convection from slender bodies of revolution in porous media

Analytical study of buoyancy induced heat and mass transfer from a slender body of revolution embedded in a saturated porous medium has been reported for two important cases: (1) a paraboloid with constant temperature and concentration, (2) a cylinder with linear temperature and concentration distribution. The governing parameters for the problem under study are the buoyancy ratio, N, and Lewis number, Le. Depending on the sign of the buoyancy ratio, the inclusion of a concentration gradient may assist or suppress the flow induced by thermal buoyancy. The Lewis number is found to have a much more pronounced effect on the concentration field than it does on the flow and temperature fields. The computed results have covered a wide range of the governing parameters, i.e., -1 < N < 10 and 0.1 < Le < 50.