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Boundary-layer separation at a free streamline Part 2. Numerical results

Published online by Cambridge University Press:  29 March 2006

R. C. Ackerberg
R. C. Ackerberg
Affiliation:
Polytechnic Institute of Brooklyn, Graduate Center, Farmingdale, New York
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Abstract

An asymptotic solution of the boundary-layer equations, valid just upstream of a free streamline attached to the sharp trailing edge of a body, is compared with a numerical solution for the boundary-layer flow on a finite flat plate set perpendicular to a uniform stream. An arbitrary multiplicative constant in the asymptotic expansion, arising from an eigenfunction, is evaluated by requiring the skin friction to agree with a numerical value close to the free streamline. Using this value, the velocity profiles, computed from the asymptotic expansion, are in excellent agreement with the numerical solution.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 46 , Issue 4 , 27 April 1971 , pp. 727 - 736
Copyright
© 1971 Cambridge University Press

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References

Ackerberg, R. C. 1968 Phys. Fluids, 11, 1270.
Ackerberg, R. C. 1970 J. Fluid Mech. 44, 211.
Brown, S. N. & Stewartson, K. 1965 J. Fluid Mech. 23, 673.
Goldstein, S. 1938 Modern Developments in Fluid Dynamics. Oxford: Clarendon.
Lamb, H. 1945 Hydrodynamics. New York: Dover.
Mitchell, A. R. & Thomson, J. Y. 1958 Z. angew. Math. Phys. 9, 26.