Natural Convection Heat and Mass Transfer from an Arbitrarily Inclined Plate in a Porous Medium with Variable Wall Temperature and Concentration

摘要

This work studies the heat and mass transfer characteristics of natural convection from an arbitrarily inclined plate in a fluid saturated porous medium with variable wall temperature and concentration. The governing equations are transformed into a set of coupled differential equations, and the obtained boundary layer equations are solved by the cubic spline collocation method. The heat and mass transfer characteristics are presented as functions of surface temperature exponent, surface concentration exponent, inclination variable, Lewis number, and buoyancy ratio. Results show that an increase in the Lewis number leads to a decrease in the local Nusselt number and an increase in the Sherwood number. Moreover, increasing the buoyancy ratio tends to increase both the local Nusselt number and the local Sherwood number. For the positive inclination, as the inclination variable increases, the local Nusselt number and the local Sherwood number first decrease, reach minima, and then increase. The minima are where the tangential and normal components of buoyancy force are comparable.