Abstract
The problem of steady two-dimensional oblique stagnation-point flow of an incompressible viscous fluid towards a stretching surface is reexamined. Here the surface is stretched with a velocity proportional to the distance from a fixed point. Previous studies on this problem are reviewed and the errors in the boundary conditions at infinity are rectified. It is found that for a very small value of shear in the free stream, the flow has a boundary layer structure when , where and are the free stream stagnation-point velocity and the stretching velocity of the sheet, respectively, being the distance along the surface from the stagnation-point. On the other hand, the flow has an inverted boundary layer structure when . It is also observed that for given values of and free stream shear, the horizontal velocity at a point decreases with increase in the pressure gradient parameter.
Highlights
The study of the flow of an incompressible viscous fluid over a stretching surface has important bearing on several technological and industrial processes
This was rectified in a paper by Lok, Amin and Pop [5]. These authors [5] did not take into account the pressure gradient parameter in the boundary condition at infinity. This is a serious omission since the pressure gradient parameter is linked to the free stream shear in the oblique stagnation-point flow (Drazin and Riley [6])
This boundary layer structure is affected to a great extent in the presence of considerable shear in the free stream
Summary
The study of the flow of an incompressible viscous fluid over a stretching surface has important bearing on several technological and industrial processes. Chiam [2] investigated steady two-dimensional orthogonal and oblique stagnation-point flow of an incompressible viscous fluid towards a stretching surface in the case when the parameter b representing the ratio of the strain rate of the stagnation-point flow to that of the stretching surface is equal to unity. By removing this highly restrictive assumption ( b 1 ), Mahapatra and Gupta [3] analyzed the steady two-dimensional orthogonal stagnation-point flow of an incompressible viscous fluid to-wards a stretching surface in the general case b 1 They observed that the structure of the boundary layer depends crucially on the value of b. Since the displacement thickness arising out of the boundary layer on the surface was ignored in their boundary condition at infinity, the analysis in [4] is of doubt full validity This was rectified in a paper by Lok, Amin and Pop [5]. The results of the paper in [5] are of doubtful validity
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