Further results on nonlinearly stretching permeable sheets: Analytic solution for MHD flow and mass transfer

Abstract

The steady magnetohydrodynamic (MHD) flow and mass transfer of an incompressible, viscous, and electrically conducting fluid over a permeable flat surface stretched with nonlinear (quadratic) velocity u w (x) = a x + c 0 x 2 and appropriate wall transpiration is investigated. It is shown that the problem permits an analytical solution for the complete set of equations with magnetic field influences when a fictitious presence of a chemical reaction is considered. Velocity and concentration fields are presented through graphs and discussed. The results for both skin friction coefficient f ′′ (0) and mass transfer gradient c ′ (0) agree well with numerical results published in the literature. © 2012 Rafael Cortell.