Spline collocation for magnetohydrodynamic stagnation-point flow towards a stretching sheet

Abstract

Steady two-dimensional stagnation-point flow of an incompressible viscous electrically con– ducting fluid over a flat deformable sheet is investigated when the sheet is stretched in its own plane with a velocity proportional to the distance from the stagnation-point. Using similarity variables, the governing partial differential equations are transformed into a set of non-dimensional ordinary differential equations. These equations are then solved numerically using Spline collocation method. It is shown that the velocity at a point decreases/increases with increase in the magnetic field when the free stream velocity is less/greater than the stretching velocity. Temperature distribution in the flow is obtained when the surface is held at a constant temperature. In the present reported work the effect of magnetic field parameter and Prandtl number on flow have been discussed.