Hostname: page-component-8448b6f56d-wq2xx Total loading time: 0 Render date: 2024-04-19T04:45:32.805Z Has data issue: false hasContentIssue false

Turbulence characteristics of a boundary layer over a swept bump

Published online by Cambridge University Press:  26 April 2006

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

Abstract

The evolution of the turbulent boundary layer over a bump defined by three tangential circular arcs and swept at 45° was examined. The flat-plate boundary layer approaching the swept bump had a momentum thickness Reynolds number of approximately 3800. The ratios of upstream boundary-layer thickness to bump height and convex radius of curvature were 1.5 and 0.06, respectively. The boundary layer was influenced by alternating signs of streamwise pressure gradient, wall curvature, and mean crossflow, which resulted in a complex boundary-layer flow that grew rapidly on the downstream side of the bump. The mean flow profiles deviated significantly from typical logarithmic layer behaviour, but the flow remained attached. The evolution of the Reynolds stress components was explained by the growth of two internal layers triggered by discontinuities in wall curvature near the leading and trailing edges of the bump. The shear stress vector was found to lag the velocity gradient vector, despite the spanwise flow changing direction above the bump. The measurements were compared to the previous results from a two-dimensional bump with the same profile shape and Reynolds number. Contrary to previous studies, the addition of mean crossflow to this complex flow field did not reduce the vertical mixing relative to the turbulent kinetic energy.

Type
Research Article
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

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
Baskaran, V., Pontikis, Y. G. & Bradshaw, P. 1990 Experimental investigation of three-dimensional turbulent boundary layers on ‘infinite’ swept curved wings. J. Fluid Mech. 211, 95.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
Bearman, P. W. 1971 Corrections for the effect of ambient temperature drift on hot-wire measurements in incompressible flow. DISA report 11, p. 25.
Berg, B. Van Den, Elsenaar, A., Lindhout, J. P. F. & Wesseling, P. 1975 Measurements in an incompressible three-dimensional turbulent boundary layer, under infinite swept wing conditions, and comparison with theory. J. Fluid Mech. 70, 127.Google Scholar
Bradshaw, P. & Pontikos, N. S. 1985 Measurements in the turbulent boundary layer on an ‘infinite’ swept wing. J. Fluid Mech. 159, 105.Google Scholar
Coleman, G. N., Ferziger, J. H. & Spalart, P. R. 1990 A numerical study of the turbulent Ekman layer. J. Fluid Mech. 213, 313.Google Scholar
Erm, L. P. & Joubert, P. N. 1991 Low-Reynolds-number turbulent boundary layers. J. Fluid Mech. 230, 1.Google Scholar
Fernholz, H. H. & Vagt, J.-D. 1981 Turbulence measurements in an adverse-pressure-gradient three-dimensional turbulent boundary layer along a circular cylinder. J. Fluid Mech. 111, 233.Google Scholar
Flack, K. A. & Johnston, J. P. 1993 Near-wall investigation of three-dimensional turbulent boundary layers. Report MD-63. Mech. Engng Dept, Stanford University.
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
Johnston, J. P. 1970 Measurements in a three-dimensional turbulent boundary layer induced by a swept, forward facing step. J. Fluid Mech. 42, 823.Google Scholar
Johnston, J. P. & Flack, K. A. 1994 Advances in three-dimensional turbulent boundary layers with emphasis on the wall-layer regions. Proc. 1994 ASME Fluids Engng Division Summer Meetings, Part 6 (of 18), FED 184, 1.
Langston, L. S. & Boyle, M. T. 1982 A new surface-streamline flow-visualization technique. J. Fluid Mech. 125, 53.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 Tech. Paper Series 932550.
Ölçmen, S. M. & Simpson, R. L. 1995 An experimental study of a three-dimensional pressure-driven turbulent boundary layer. J. Fluid Mech. 290, 225.Google Scholar
Özcan, O. 1988 Three component LDA measurements in a turbulent boundary layer. Exps Fluids 6, 327.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
Schwarz, W. R. & Bradshaw, P. 1994 Turbulent structural changes for a three-dimensional turbulent boundary layer in a 30 degree bend. J. Fluid Mech. 272, 183.Google Scholar
Sendstad, O. & Moin, P. 1992 The near-wall mechanics of three-dimensional turbulent boundary layers. Report TF-57, Mech. Engng Dept, Stanford University.
Spalart, P. R. 1988 Direct simulation of a turbulent boundary layer up to Reθ = 1410. J. Fluid Mech. 187, 61.Google Scholar
Truong, T. V. & Brunet, M. 1992 Test Case T1: Boundary layer in a ‘S’-shaped channel, Numerical Simulation of Unsteady Flows and Transition to Turbulence. Proc. ERCOFTAC Workshop at EPFL, 26–28 March 1990, Lausanne, Switzerland (ed. O. Pironneau, W. Rodi, I. L. Ryhming, A. M. Savill & T. V. Truong), pp. 78115, Cambridge University Press.
Webster, D. R., Degraaff, D. B. & Eaton, J. K. 1996 Turbulence characteristics of a boundary layer over a two-dimensional bump. J. Fluid Mech. 320, 53.Google Scholar
Westphal, R. V. & Mehta, R. D. 1984 Crossed hot-wire data acquisition and reduction system. NASA TM 85871.