at an Axisymmetric Stagnation Point Saturated in Porous Media

Copyright © 2014 M. Modather M. Abdou and S. M. M. El-Kabier. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. A three-dimensional boundary layer solution is presented to study the effect of magneto-hydrodynamic with variable viscosity on natural convection in the vicinity of an axisymmetric stagnation point on heated vertical surfaces saturated in porous medium. The fluid viscosity is assumed to vary as a linear function of temperature. The governing partial differential equations for the flow and heat transfer are transformed into ordinary differential equations by a suitable similarity transformation then, solved numerically using the Runge-Kutta numerical integration, procedure in conjunction with shooting technique. A parametric study illustrating the influence of the magnetic parameter M, the viscosity parameter γf and Darcy number Da are conducted and a representative set of numerical results for the velocity, temperature, concentration, on skin friction, Nusselt number as well as Sherwood number are investigated. The obtained results are shown in graphic and tabulated representation followed by a quantitative discussion