MHD non-Darcian free convection from a vertical wavy surface embedded in porous media in the presence of Soret and Dufour effect

✍ Scribed by A. Mahdy

• Publisher: Elsevier Science
• Year: 2009
• Tongue: English
• Weight: 634 KB
• Volume: 36
• Category: Article
• ISSN: 0735-1933
• DOI: 10.1016/j.icheatmasstransfer.2009.07.004

✦ Synopsis

The objective of this paper is to examine the combined effect of spatially stationary surface waves and the presence of fluid inertia on the free convection along a heated vertical wavy surface embedded in an electrically conducting fluid saturated porous medium, subject to the diffusion-thermo (Dufour), thermodiffusion (Soret) and magnetic field effects. Diffusion-thermo implies that the heat transfer is induced by concentration gradient, and thermo-diffusion implies that the mass diffusion is induced by thermal gradient. The boundary-layer regime is considered where the Darcy-Rayleigh number is very large. A suitable coordinate transformation was considered to reduce the governing boundary-layer equations into nonsimilar form. The resulting nonlinear, coupled differential equations were solved numerically employing the Runge-Kutta algorithm with shooting iteration technique. Dimensionless velocity, temperature, concentration distributions, as well as local Nusselt number and Sherwood number are presented graphically for various values of Dufour number D u , Soret number S r , Buoyancy ratio N, amplitude of the wavy surface a, Lewis number Le, Grashof number Gr, and magnetic field effect M g .