Magnetohydrodynamic stagnation point flow towards a stretching vertical sheet in a micropolar fluid

A. Ishak¹ - R. Nazar¹ - I. Pop²

¹ School of Mathematical Sciences, National University of Malaysia, 43600 UKM Bangi, Selangor, Malaysia
² Faculty of Mathematics, University of Cluj, R3400 Cluj, CP 253, Romania

Abstract
The analysis of steady two-dimensional stagnation point flow of an incompressible micropolar and electrically conducting fluid subject to a transverse uniform magnetic field towards a stretching vertical sheet is investigated when the sheet is stretched in its own plane with a velocity and a temperature proportional to the distance from the stagnation point. The governing system of partial differential equations is transformed to ordinary differential equations, which then are solved numerically using a finite difference scheme known as the Keller-box method. The velocity, microrotation and temperature distributions as well as the skin friction coefficient and the local Nusselt number are obtained for various parameters. Both the assisting and the opposing buoyant flows are considered. It is found that dual solutions exist for the opposing flow, for some regions of the buoyancy parameter, while for the assisting flow the solution is unique. Tables 3, Figs 14, Refs 26.