Similarity Transformation Analysis of Heat and Mass Transfer Effects on Steady Buoyancy Induced MHD Free Convection Flow Past an Inclined Surface

Abstract

The present work is devoted to the problem of a steady two di- mensional hydromagnetic convective ow of a viscous, incompressible electrically conducting uid past an inclined semi-in nite plate in the presence of magnetic eld with heat and mass transfer (double di u- sion). The convective ow starts under the simultaneous action of the buoyancy forces caused by the variations in density due to tempera- ture and species concentration di erences. A scaling group of similarity transformations is applied to the partial di erential equations describ- ing the problem under consideration, into a boundary value problem of coupled ordinary di erential equations, which along with the boundary conditions are solved numerically by using shooting technique together with Runge-Kutta fourth order method and e ects of various parame- ters on the ow elds are investigated and presented graphically.