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Laminar flow over a small hump on a flat plate

Published online by Cambridge University Press:  29 March 2006

F. T. Smith
F. T. Smith
Affiliation:
Department of Mathematics, University College, London Present address: Department of Mathematics, University of Southampton.
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Abstract

A boundary layer flows over a flat plate which has on it a small hump situated downstream of the leading edge. The description of the boundary-layer flow, based upon a triple-deck structure, shows how the presence of the hump generates an interaction between the inviscid region just outside the layer and the viscous region near the hump. The pressure force dominant in the boundary layer and the connexion of the local flow with the main stream develop together and are self-perpetuating, and both remain of primary significance for a wide range of hump sizes, even for a hump buried well inside the boundary layer. By consideration of the limiting cases of very small and very large humps, a consistent account of the nature of the disturbances due to the various sizes of hump is produced. The forces and couples on the hump are also evaluated.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 57 , Issue 4 , 6 March 1973 , pp. 803 - 824
Copyright
© 1973 Cambridge University Press

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References

Goldstein, S. 1930 Proc. Camb. Phil. Soc. 26, 1.
Hunt, J. C. R. 1971 J. Fluid Mech. 49, 159.
Messiter, A. F. 1970 Siam J. Appl. Math. 18, 241.
Prandtl, L. & Tietjens, O. 1934 Applied Hydro and Aero Mechanics. Dover.
Smith, F. T. 1972 D. Phil. dissertation, Oxford University.
Smith, F. T. & Stewartson, K. 1973 Proc. Roy. Soc. A (to appear).
Stewartson, K. 1968 Proc. Roy. Soc. A 306, 275.
Stewartson, K. 1969 Mathematika, 16, 106.
Stewartson, K. 1970a Quart J. Mech. Appl. Math. 23, 137.
Stewartson, K. 19706 Proc. Roy. Soc. A 319, 289.
Stewartson, K. 1971 Quart. J. Mech. Appl. Math. 24, 387.
Stewartson, K. & Williams, P. G. 1969 Proc. Roy. Soc. A 312, 181.
Van Dyke, M. D. 1964 Perturbation Methods in. Fluid Mechanics. Academic.