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The stability of laminar boundary layers at separation

Published online by Cambridge University Press:  28 March 2006

T. H. Hughes  and
W. H. Reid
T. H. Hughes
Affiliation:
Department of Mathematics, The University of Chicago Present address: Applied Mathematics Division, Argonne National Laboratory.
W. H. Reid
Affiliation:
Department of Mathematics, The University of Chicago
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Abstract

The effect of an adverse pressure gradient on the stability of a laminar boundary layer is considered in the limiting case when the skin friction at the wall vanishes, i.e. when U′(0) = 0. Such flows are not absolutely unstable as might have been expected but have a minimum critical Reynolds number of the order of 25. General results are given for the asymptotic behaviour of both the upper and lower branches of the neutral curve and a complete neutral curve is obtained for Pohlhausen's simple fourth-degree polynomial profile at separation.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 23 , Issue 4 , December 1965 , pp. 737 - 747
Copyright
© 1965 Cambridge University Press

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References

Goldstein, S. 1938 Modern Developments in Fluid Dynamics, vol. 1. Oxford: Clarendon Press.
Hughes, T. H. & Reid, W. H. 1965 J. Fluid Mech. 23, 715.
Lin, C. C. 1945 Quart. Appl. Math. 3, 117, 218, 277.
Lin, C. C. 1955 The Theory of Hydrodynamic Stability. Cambridge University Press.
Miles, J. W. 1960 J. Fluid Mech. 8, 593.
Pretsch, J. 1941 Jb. dtsch. Luftfahrtf, 1, 158.
Thwaites, B. 1949 Rep. Aero. Res. Coun., Lond., no. 12699.