Non-orthogonal stagnation-point flow towards a stretching surface in a non-Newtonian fluid with heat transfer

In the past, considerable attention has been given to the study of stagnation-point flows since they appear in many engineering and industrial applications. In some problems, flow is stagnated by a solid wall, while in others a free stagnation-point or line exists interior to the fluid domain. In this paper, the steady two-dimensional stagnation-point flow of a viscoelastic second-grade fluid over a stretching surface with heat transfer is examined. It is assumed that the fluid impinges on the wall obliquely. Using similarity variables, the governing partial differential equations are transformed into a set of three non-dimensional ordinary differential equations. These equations are then solved numerically using a quasi-linearization technique. It is shown that a boundary layer is formed when the stretching velocity of the surface is less that the inviscid free-stream velocity and velocity at a point increases with the increase in the elasticity of the fluid. It is also found that the temperature at a point decreases with increase in the elasticity of the fluid. The reported results are in good agreement with the available published work in the literature.