Hostname: page-component-8448b6f56d-wq2xx Total loading time: 0 Render date: 2024-04-25T01:55:25.567Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Andreopoulos, J. & Bradshaw, P. 1980 Measurements of interacting turbulent shear layers in the near wake of a flat plate. J. Fluid Mech. 100, 639.Google Scholar
Barlow, R. S. & Johnston, J. P. 1985 Roll-cell structure in a concave turbulent boundary layer. AIAA paper no. 85–0297.
Head, M. R. & Bandyopadhyay, P. 1978 Combined flow visualization and hot wire measurements in turbulent boundary layers. In Proc. AFOSR/Lehigh Workshop on Coherent Structure of Turbulent Boundary Layers (ed. C. R. Smith & D. E. Abbott). Lehigh University.
Hoffmann, P. H. & Bradshaw, P. 1981 Turbulent boundary layers on concave surfaces. Final Report to Brown Boveri Research Centre, Imperial College Aero TN 81–111.
Hunt, I. A. & Joubert, P. N. 1979 Effects of small streamline curvature on turbulent duct flow. J. Fluid Mech. 91, 633.Google Scholar
Jeans, A. H. & Johnston, J. P. 1982 The effects of streamwise concave curvature on turbulent boundary layer structure. Stanford Univ. Thermosci. Div. Rep. MD-40.
Johnston, J. P., Halleen, R. M. & Lezius, D. K. 1972 Effects of spanwise rotation on the structure of two-dimensional fully developed channel flow. J. Fluid Mech. 56, 533.Google Scholar
Kline, S. J., Cantwell, B. J. & Lilley, G. M. (eds) 1982 In Proc. 1980–81 AFOSR-HTTM-Stanford Conference on Computation of Complex Turbulent Flows, Thermosciences Divn., Stanford University.
Mehta, R. D. & Bradshaw, P. 1985 Longitudinal vortices imbedded in turbulent boundary layers. Part 2. Vortex pair with ‘common flow’ away from the surface. Submitted to J. Fluid Mech.Google Scholar
Meroney, R. N. & Bradshaw, P. 1975 Turbulent boundary layer growth over a longitudinally curved surface. AIAA J. 13, 1448.Google Scholar
Moser, R. D. & Moin, P. 1984 Direct numerical simulation of curved turbulent channel flow. NASA TM 85974.
Muck, K. C. 1982 Turbulent boundary layers on mildly curved surfaces. Ph.D. Thesis, Imperial College, London.
Muck, K. C., Hoffmann, P. H. & Bradshaw, P. 1985 The effect of convex surface curvature on turbulent boundary layers. J. Fluid Mech. 161, 347–369.Google Scholar
Patel, V. C. 1965 Calibration of the Preston tube and limitations on its use in pressure gradients. J. Fluid Mech. 23, 185.Google Scholar
Ramaprian, B. R. & Shivaprasad, B. G. 1978 The structure of turbulent boundary layers along mildly curved surfaces. J. Fluid Mech. 85, 273.Google Scholar
Shibl, A. & Bradshaw, P. 1985 Longitudinal vortices imbedded in turbulent boundary layers. Part 3. Vortex pair with ‘common flow’ towards the surface. To be submitted to J. Fluid Mech.Google Scholar
Smits, A. J., Young, S. T. B. & Bradshaw, P. 1979 The effect of short regions of high surface curvature on turbulent boundary layers. J. Fluid Mech. 94, 209.Google Scholar
So, R. M. C. & Mellor, G. L. 1975 Experiments on turbulent boundary layers on a concave wall. Aero. Quart. 26, 35.Google Scholar
Tani, I. 1962 Production of longitudinal vortices in the boundary layer along a concave wall. J. Geophys. Res. 67, 3075.Google Scholar
Watmuff, J. H., Witt, H. T. & Joubert, P. N. 1985 Developing boundary layers with system rotation. J. Fluid Mech. 157, 405.Google Scholar