Hostname: page-component-8448b6f56d-gtxcr Total loading time: 0 Render date: 2024-04-23T06:19:56.972Z Has data issue: false hasContentIssue false

Turbulent oscillatory boundary layers at high Reynolds numbers

Published online by Cambridge University Press:  26 April 2006

B. L. Jensen
Affiliation:
Technical University of Denmark, Institute of Hydrodynamic and Hydraulic Engineering, 2800 Lyngby, Denmark
B. M. Sumer
Affiliation:
Technical University of Denmark, Institute of Hydrodynamic and Hydraulic Engineering, 2800 Lyngby, Denmark
J. Fredsøe
Affiliation:
Technical University of Denmark, Institute of Hydrodynamic and Hydraulic Engineering, 2800 Lyngby, Denmark

Abstract

This study deals with turbulent oscillatory boundary-layer flows over both smooth and rough beds. The free-stream flow is a purely oscillating flow with sinusoidal velocity variation. Mean and turbulence properties were measured mainly in two directions, namely in the streamwise direction and in the direction perpendicular to the bed. Some measurements were made also in the transverse direction. The measurements were carried out up to Re = 6 × 106 over a mirror-shine smooth bed and over rough beds with various values of the parameter a/ks covering the range from approximately 400 to 3700, a being the amplitude of the oscillatory free-stream flow and ks the Nikuradse's equivalent sand roughness. For smooth-bed boundary-layer flows, the effect of Re is discussed in greater detail. It is demonstrated that the boundary-layer properties change markedly with Re. For rough-bed boundary-layer flows, the effect of the parameter a/ks is examined, at large values (O(103)) in combination with large Re.

Type
Research Article
Copyright
© 1989 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

Bakker, W. T. 1974 Sand concentration in an oscillatory flow. Proc. 14th Conf. Coastal Eng., Copenhagen, pp. 11291148.
Batchelor, G. K. 1967 An Introduction to Fluid Dynamics. Cambridge University Press.
Coles, D. 1956 The Law of the wake in a turbulent boundary layer. J. Fluid Mech. 1, 191226.Google Scholar
Driest, E. R. van 1956 On turbulent flow near a wall. J. Aero. Sci. 23, 10071011.Google Scholar
Fredsé, J. 1984 Turbulent boundary layer in wave-current motion. J. Hyd. Engng ASCE 110, 11031120.Google Scholar
Hagatun, K. & Eidsvik, K. J. 1986 Oscillating turbulent boundary layers with suspended sediment. J. Geophys. Res. 91 (C11), 1304513055.Google Scholar
Hanratty, T. J. & Campbell, J. A. 1983 Measurements of wall shear stress. In Fluid Mechanics Measurements (ed. R. J. Goldstein). Hemisphere.
Hino, M., Kashiwayanagi, M., Nakayama, A. & Hara, T. 1983 Experiments on the turbulence statistics and the structure of a reciprocating oscillatory flow. J. Fluid Mech. 131, 363400.Google Scholar
Hino, M., Sawamoto, M. & Takasu, S. 1976 Experiments on transition to turbulence in an oscillatory pipe flow. J. Fluid Mech. 75, 193207.Google Scholar
Jensen, B. L. 1989 Experimental investigation of turbulent oscillatory boundary layers. Thesis. Technical University of Denmark, Institute of Hydrodynamics and Hydraulic Engineering. Lyngby, Denmark, in partial fulfillment of the requirements for the degree of Liecentiata Technices.
Jonsson, I. G. 1963 Measurements in the turbulent wave boundary layer. Proc. 10th Congr. IAHR. London, Vol. 1, pp. 8592.
Jonsson, I. G. & Carlsen, N. A. 1976 Experimental and theoretical investigations in an oscillatory turbulent boundary layer. J. Hydraul. Res. 14, 4560.Google Scholar
Justesen, P. 1988a Turbulent wave boundary layers. Series Paper 43. Thesis, The Technical University, University of Denmark, Institute of Hydrodynamics and Hydraulic Engineering, Lyngby, Denmark, in partial fulfillment of the requirements for the degree of Licentiata Technices.
Justesen, P. 1988b Prediction of turbulent oscillatory flow over rough beds. Coastal Engng 12, 257284.Google Scholar
Justesen, P. & Fredsé, J. 1985 Distribution of turbulence and suspended sediment in the wave boundary layer. Prog. Rep. 62, pp. 6167. Inst. of Hydrodyn & Hyd. Engrg., Technical Univ. Denmark.
Kajiura, K. 1968 A model for the bottom boundary layer in water waves. Bull. Earthquake Res. Inst. 45, 75123.Google Scholar
Kamphuis, J. W. 1975 Friction factor under oscillatory waves. J. Waterways, Port Coastal Engng Div. ASCE 101 (WW2), 135144.Google Scholar
Laufer, J. 1951 Investigation of turbulent flow in a two-dimensional channel. NACA Rep. 1053.Google Scholar
Lundgren, H. & Srensen, T. 1958 A pulsating water tunnel. Proc. 6th Intl Conf. on Coastal Engineering, Miami, Fl., pp. 356358. Council on Wave Research, The Engng Foundation, Engineering Field Station, University of California, Richmond, CA.
Sleath, J. F. A. 1984 Sea Bed Mechanics. Wiley.
Sleath J. F. A. 1987 Turbulent oscillatory flow over rough beds. J. Fluid Mech. 182, 369409.Google Scholar
Sleath, J. F. A. 1988 Transition in oscillatory flow over rough beds. J. Waterway, Port, Coastal Ocean Engng Div. ASCE, 114, 1833.Google Scholar
Spalart, P. R. 1988 Direct simulation of a turbulent boundary layer. J. Fluid Mech. 187, 6198.Google Scholar
Spalart, P. R. & Baldwin, B. S. 1987 Direct simulation of a turbulent oscillating boundary layer. NASA Tech. Mem. 89460, Ames Research Center, Moffett Field, Ca. (Also in Turbulent Shear Flows 6, Springer, in press.)
Spalart, P. R. & Leonard, A. 1987 Direct numerical simulation of equilibrium turbulent boundary layers. In Turbulent Shear Flows 5 (ed. F. Durst, B. E. Launder, J. L. Lumley, F. W. Schmidt & J. H. Whitelaw), pp. 234252. Springer.
Sumer, B. M., Jensen, B. L. & Fredsé, J. 1987 Turbulence in oscillatory boundary layers. In Advances in Turbulence (ed. Gt. Comte-Bellot & J. Mathieu), pp. 556567. Springer.