Hostname: page-component-cd9895bd7-8ctnn Total loading time: 0 Render date: 2024-12-19T12:18:48.769Z Has data issue: false hasContentIssue false
  • English
  • Français

Turbulence characteristics of a boundary layer over a two-dimensional bump

Published online by Cambridge University Press:  26 April 2006

D. R. Webster ,
D. B. Degraaff  and
J. K. Eaton
D. R. Webster
Affiliation:
Thermosciences Division, Department of Mechanical Engineering, Stanford University, Stanford, CA 94305-3030, USA Present address: Department of Aerospace Engineering and Mechanics, University of Minnesota, Minneapolis, MN 55455, USA.
D. B. Degraaff
Affiliation:
Thermosciences Division, Department of Mechanical Engineering, Stanford University, Stanford, CA 94305-3030, USA
J. K. Eaton
Affiliation:
Thermosciences Division, Department of Mechanical Engineering, Stanford University, Stanford, CA 94305-3030, USA
Get access Rights & Permissions [Opens in a new window]

Abstract

The turbulent flow development was examined for a two-dimensional boundary layer over a bump. The upstream boundary layer had a momentum-thickness. Reynolds number of approximately 4030. The ratios of upstream boundary layer thickness to bump height and convex radius of curvature were 1.5 and 0.06, respectively. The bump was defined by three tangential circular arcs, which subjected the flow to alternating signs of pressure gradient and surface curvature. The boundary layer grew rapidly on the downstream side of the bump but did not separate. The mean velocity profiles deviated significantly from the law of the wall above the bump. The change from concave to convex surface curvature near the leading edge triggered an internal boundary layer, as shown by knee points in the turbulent stress profiles. The internal layer grew rapidly away from the wall on the downstream side of the bump owing to the adverse pressure gradient. The effect of convex surface curvature was considered small since the flow behaviour was generally explained by the effects due to streamwise pressure gradient. A second internal layer was triggered by the change from convex to concave curvature near the trailing edge. The boundary layer recovered rapidly in the downstream section and approached typical flat-plate boundary layer behaviour at the last measurement location.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 320 , 10 August 1996 , pp. 53 - 69
Copyright
© 1996 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

Alving, A. E., Smits, A. J. & Watmuff, J. H. 1990 Turbulent boundary layer relaxation from convex curvature. J. Fluid Mech. 211, 529.Google Scholar
Anderson, S. D. & Eaton, J. K. 1989 Reynolds stress development in pressure-driven three-dimensional turbulent boundary layers. J. Fluid Mech. 202, 263.Google Scholar
Badri Narayanan, M. A. & Ramjee, V. 1969 On the criteria for reverse transition in a two-dimensional boundary layer flow. J. Fluid Mech. 35, 225.Google Scholar
Bandyopadhyay, P. R. & Ahmed, A. 1993 Turbulent boundary layers subjected to multiple curvatures and pressure gradients. J. Fluid Mech. 246, 503.Google Scholar
Barlow, R. S. & Johnston, J. P. 1988 Structure of a turbulent boundary layer on a concave surface. J. Fluid Mech. 191, 137.Google Scholar
Baskaran, V., Smits, A. J. & Joubert, P. N. 1987 A turbulent flow over a curved hill. Part 1. Growth of an internal boundary layer. J. Fluid Mech. 182, 47.Google Scholar
Baskaran, V., Smits, A. J. & Joubert, P. N. 1991 A turbulent flow over a curved hill. Part 2. Effects of streamline curvature and streamwise pressure gradient. J. Fluid Mech. 232, 377.Google Scholar
Bearman, P. W. 1971 Corrections for the effect of ambient temperature drift on hot-wire measurements in incompressible flow. DISA Rep. 11, p. 25.Google Scholar
Erm, L. P. & Joubert, P. N. 1991 Low-Reynolds-number turbulent boundary layers. J. Fluid Mech. 230, 1.Google Scholar
Gillis, J. C. & Johnston, J. P. 1983 Turbulent boundary-layer flow and structure on a convex wall and its redevelopment on a flat wall. J. Fluid Mech. 135, 123.Google Scholar
Littell, H. S. & Eaton, J. K. 1994 Turbulence characteristics of the boundary layer on a rotating disk. J. Fluid Mech. 266, 175.Google Scholar
Monson, D. J., Mateer, G. G. & Menter, F. R. 1993 Boundary-layer transition and global skin friction measurement with an oil-fringe imaging technique. SAE Technical Paper Series 932550.
Muck, K. C., Hoffmann, P. H. & Bradshaw, P. 1985 The effect of convex curvature on turbulent boundary layers. J. Fluid Mech. 161, 347.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
Smits, A. J. & Wood, D. H. 1985 The response of turbulent boundary layers to sudden perturbations. Ann. Rev. Fluid Mech. 17, 321.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. 1973 Experiment on convex curvature effects in turbulent boundary layers. J. Fluid Mech. 60, 43.Google Scholar
Tsuji, Y. & Morikawa, Y. 1976 Turbulent boundary layer with pressure gradient alternating in sign. Aero. Q. 27, 15.Google Scholar
Westphal, R. V. & Mehta, R. D. 1984 Crossed hot-wire data acquisition and reduction system. NASA TM 85871.