Effect of double dispersion on non-Darcy mixed convective flow over vertical surface embedded in porous medium.pdf

Appl. Math. Mech. -Engl. Ed., 34(10), 1247–1262 (2013) Applied Mathematics DOI 10.1007/s10483-013-1742-8 and Mechanics c Shanghai University and Springer-Verlag Berlin Heidelberg 2013 (English Edition) Effect of double dispersion on non-Darcy mixed convective flow over vertical surface embedded in porous medium∗ A. A. AFIFY1 , N. S. ELGAZERY2 (1. Department of Mathematics, Faculty of Science, Helwan University, Cairo 11795, Egypt; 2. Department of Mathematics, Faculty of Education, Ain Shams University, Cairo 11234, Egypt) Abstract A numerical study of a non-Darcy mixed convective heat and mass transfer flow over a vertical surface embedded in a porous medium under the effects of double dispersion, melting, and thermal radiation is investigated. The set of governing boundary layer equations and the boundary conditions is transformed into a set of coupled nonlinear ordinary differential equations with the relevant boundary conditions. The transformed equations are solved numerically by using the Chebyshev pseudospectral method. Com- parisons of the present results with the existing results in the literature are made, and good agreement is found. Numerical results for the velocity, temperature, concentration profiles, and local Nusselt and Sherwood numbers are discussed for various values of phys- ical parameters. Key words mixed convection, non-Darcy flow, porous medium, double dispersion, melting, thermal radiation, Chebyshev