Oblique stagnation-point flow of a viscoelastic fluid with heat transfer

The two-dimensional forced convection stagnation-point flow and heat transfer of a viscoelastic second grade fluid obliquely impinging on an infinite plane wall is considered as an exact solution of the full partial differential equations. This oblique flow consists of an orthogonal stagnation-point flow to which a shear flow whose vorticity is fixed at infinity is added. The relative importance of these flows is measured by a parameter gamma. The viscoelastic problem is reduced to two ordinary differential equations governed by the Weissenberg number W-e, two parameters alpha and beta, the later being a free parameter beta, introduced by Tooke and Blyth [A note on oblique stagnation-point flow, Physics of Fluids 20 (2008) 033101-1-3], and the Prandtl number Pr. The two cases when alpha = beta and alpha not equal beta are, respectively, considered. Physically the free parameter may be viewed as altering the structure of the shear flow component by varying the magnitude of the pressure gradient. It is found that the location of the separation point x(s) of the boundary layer moves continuously from the left to the right of the origin of the axes (x(s) < 0). (C) 2009 Elsevier Ltd. All rights reserved.