Incompressible Laminar Boundary Layers on a Parabola at Angle of Attack: A Study of the Separation Point

[+] Author and Article Information
M. J. Werle, R. T. Davis

Department of Engineering Mechanics, College of Engineering, Virginia Polytechnic Institute and State University, Blacksburg, Va.

J. Appl. Mech 39(1), 7-12 (Mar 01, 1972) (6 pages) doi:10.1115/1.3422673 History: Received September 12, 1970; Online July 12, 2010


The laminar boundary-layer equations were solved for incompressible flow past a parabola at angle of attack. Such flow experiences a region of adverse pressure gradient and thus can be employed to study the boundary-layer separation process. The present solutions were obtained numerically using both implicit and Crank-Nicolson-type difference schemes. It was found that in all cases the point of vanishing shear stress (the separation point) displayed a Goldstein-type singularity. Based on this evidence, it is concluded that a singularity is always present at separation independent of the mildness of the pressure gradient at that point.

Copyright © 1972 by ASME
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