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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

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