Boundary layer flow near stagnation-points on a vertical surface with slip in the presence of transverse magnetic field

Abstract

Purpose

The purpose of this paper is to investigate the MHD boundary layer flow of viscous, incompressible and electrically conducting fluid near a stagnation-point on a vertical surface with slip.

Design/methodology/approach

In the study, the temperature of the surface and the velocity of the external flow are assumed to vary linearly with the distance from the stagnation-point. The governing differential equations are transformed into systems of ordinary differential equations and solved numerically by a shooting method.

Findings

The effects of various parameters on the heat transfer characteristics are discussed. Graphical results are presented for the velocity and temperature profiles whilst the skin-friction coefficient and the rate of heat transfers near the surface are presented. It is observed that the presence of the magnetic field increases the skin-friction coefficient and the rate of heat transfer near the surface towards the stagnation-point.

Originality/value

The presence of magnetic field increases the skin-friction coefficient and the rate of heat transfer near the surface towards the stagnation-point.

Citation

Yakubu Seini, I. and Oluwole Makinde, D. (2014), "Boundary layer flow near stagnation-points on a vertical surface with slip in the presence of transverse magnetic field", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 24 No. 3, pp. 643-653. https://doi.org/10.1108/HFF-04-2012-0094