MHD boundary layer flow due to an exponentially shrinking sheet

K. Bhattacharyya¹ - I. Pop²

¹ Department of Mathematics, The University of Burdwan, Burdwan-713104, West Bengal, India
² Faculty of Mathematics, Babes-Bolyai University, R-400082 Cluj-Napoca, Romania

Abstract
This investigation deals with the MHD boundary layer flow due to an exponentially shrinking sheet. The sheet is assumed to be porous and a variable wall mass transfer is considered. The governing equations of motion are transformed into a nonlinear self-similar ordinary differential equation. Then the converted equation is solved numerically using the shooting method. The numerical computations yield that the requirement of wall mass suction for the steady flow is reduced when the magnetic field is imposed, i.e. the magnetic field itself delays the boundary layer separation and preserves the steady flow. In addition, dual solutions for the steady MHD flow are found for certain conditions. With the increasing magnetic parameter, the velocity increases for the first solution and decreases for the second solution. Figs 4, Refs 35.