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The effect of concave surface curvature on turbulent boundary layers

Published online by Cambridge University Press:  21 April 2006

P. H. Hoffmann ,
K. C. Muck  and
P. Bradshaw
P. H. Hoffmann
Affiliation:
Department of Aeronautics, Imperial College, London Present address: Dept of Civil and Aero. Engng, Royal Melbourne Institute of Technology, Melbourne. Vic. 3000, Australia.
K. C. Muck
Affiliation:
Department of Aeronautics, Imperial College, London Present address: Research Divn., United Technologies - Carrier Corp., Syracuse, NY 13221, USA.
P. Bradshaw
Affiliation:
Department of Aeronautics, Imperial College, London
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Abstract

The response of a turbulent boundary layer to suddenly applied concave surface curvature with δ/R = 0.01–0.02 is investigated. The main conclusion of this and the companion paper by Muck, Hoffmann & Bradshaw (1985) is that the effects of concave (destabilizing) and convex (stabilizing) curvature on boundary layers – and presumably on other shear layers – are totally different, even qualitatively. As shown in Muck, Hoffmann & Bradshaw (1985), convex curvature tends to attenuate the pre-existing turbulence and, at least in the case of mild curvature, there are no large changes in statistical average eddy shape. Concave curvature, on the other hand, can lead to the quasi-inviscid generation of longitudinal (‘Taylor–Görtler’) vortices, and we show that significant changes in the turbulence structure are induced both directly by the curvature and indirectly by the vortices.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 161 , December 1985 , pp. 371 - 403
Copyright
© 1985 Cambridge University Press

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