TITLE:
Dual Solution of MHD Stagnation-Point Flow towards a Stretching Surface
AUTHORS:
Tapas R. Mahapatra, Samir K. Nandy, Anadi S. Gupta
KEYWORDS:
Dual Solution; Magnetohydrodynamic Stagnation-Point Flow; Stretching Surface; Stability Analysis
JOURNAL NAME:
Engineering,
Vol.2 No.4,
May
4,
2010
ABSTRACT: The effect of a uniform transverse magnetic field on two-dimensional stagnation-point flow of an incompressible viscous electrically conducting fluid over a stretching surface is investigated when the surface is stretched in its own plane with a velocity proportional to the distance from the stagnation-point. This magnetohydrodynamic (MHD) flow problem is governed by the parameter b representing the ratio of the strain rate of the stagnation-point flow to that of the stretching sheet and the magnetic field parameter M. It is known from a previous paper [9] that if b > 1, the steady solution to the problem is monotonic increasing and the solution is also unique. But when 0 0.23919, the non-monotonic solution cannot exist and so in this case, the only solution is monotonic decreasing. A stability analysis reveals that when 0