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Coherent structures in wave boundary layers. Part 2. Solitary motion

Published online by Cambridge University Press:  08 March 2010

B. MUTLU SUMER ,
PALLE M. JENSEN ,
LONE B. SØRENSEN ,
JØRGEN FREDSØE ,
PHILIP L.-F. LIU  and
STEFAN CARSTENSEN
B. MUTLU SUMER*
Affiliation:
Technical University of Denmark, DTU Mekanik, Section of Coastal, Maritime and Structural Engineering, Building 403, 2800 Kgs. Lyngby, Denmark
PALLE M. JENSEN
Affiliation:
Technical University of Denmark, DTU Mekanik, Section of Coastal, Maritime and Structural Engineering, Building 403, 2800 Kgs. Lyngby, Denmark
LONE B. SØRENSEN
Affiliation:
Technical University of Denmark, DTU Mekanik, Section of Coastal, Maritime and Structural Engineering, Building 403, 2800 Kgs. Lyngby, Denmark
JØRGEN FREDSØE
Affiliation:
Technical University of Denmark, DTU Mekanik, Section of Coastal, Maritime and Structural Engineering, Building 403, 2800 Kgs. Lyngby, Denmark
PHILIP L.-F. LIU
Affiliation:
School of Civil and Environmental Engineering, Cornell University, Ithaca, NY 14853, USA
STEFAN CARSTENSEN
Affiliation:
Technical University of Denmark, DTU Mekanik, Section of Coastal, Maritime and Structural Engineering, Building 403, 2800 Kgs. Lyngby, Denmark
*
†Email address for correspondence: bms@mek.dtu.dk
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Abstract

This study continues the investigation of wave boundary layers reported by Carstensen, Sumer & Fredsøe (J. Fluid Mech., 2010, part 1 of this paper). The present paper summarizes the results of an experimental investigation of turbulent solitary wave boundary layers, simulated by solitary motion in an oscillating water tunnel. Two kinds of measurements were made: bed shear stress measurements and velocity measurements. The experiments show that the solitary-motion boundary layer experiences three kinds of flow regimes as the Reynolds number is increased: (i) laminar regime; (ii) laminar regime where the boundary-layer flow experiences a regular array of vortex tubes near the bed over a short period of time during the deceleration stage; and (iii) transitional regime characterized with turbulent spots, revealed by single/multiple, or, sometimes, quite dense spikes in the bed shear stress traces. Supplementary synchronized flow visualization tests confirmed the presence of the previously mentioned flow features. Information related to flow resistance are also given in the paper.

JFM classification

Boundary Layers: Boundary layer stability Turbulent Flows: Turbulent transition
Type
Papers
Information
Journal of Fluid Mechanics , Volume 646 , 10 March 2010 , pp. 207 - 231
Copyright
Copyright © Cambridge University Press 2010

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Footnotes

‡

Present address: DHI, Agern Alle 5, 2970 Hørsholm, Denmark.

References

REFERENCES

Carstensen, S., Sumer, B. M. & Fredsøe, J. 2010 Coherent structures in wave boundary layers. Part 1. Oscillatory motion. J. Fluid Mech. 646, 169–206.CrossRefGoogle Scholar
Costamagna, P., Vittori, G. & Blondeaux, P. 2003 Coherent structures in oscillatory boundary layers. J. Fluid Mech. 474, 1–33.CrossRefGoogle Scholar
Fredsøe, J. & Deigaard, R. 1992 Mechanics of Coastal Sediment Transport. World Scientific.CrossRefGoogle Scholar
Fredsøe, J., Sumer, B. M., Kozakiewicz, A., Chua, L. H. C. & Deigaard, R. 2003 Effect of externally generated turbulence on wave boundary layer. Coastal Engng 49, 155–183.CrossRefGoogle Scholar
Jensen, B. L., Sumer, B. M. & Fredsøe, J. 1989 Turbulent oscillatory boundary layers at high Reynolds numbers. J. Fluid Mech. 206, 265–297.CrossRefGoogle Scholar
Keulegan, G. H. 1948 Gradual damping of solitary wave. J. Res. Natl. Bur. Stand. 40, 607–614.CrossRefGoogle Scholar
Liu, P. L.-F. 2006 Turbulent boundary-layer effects on transient wave propagation in shallow water. Proc. Roy. Soc. A 462, 3431–3491.Google Scholar
Liu, P. L.-F. & Orfila, A. 2004 Viscous effects on transient long-wave propagation. J. Fluid Mech. 520, 83–92.CrossRefGoogle Scholar
Liu, P. L.-F., Park, Y. S. & Cowen, E. A. 2007 Boundary layer flow and bed shear stress under a solitary wave. J. Fluid Mech. 574, 449–463.CrossRefGoogle Scholar
Lodahl, C., Sumer, B. M. & Fredsøe, J. 1998 Turbulent combined oscillatory flow and current in a pipe. J. Fluid Mech. 373, 313–348.CrossRefGoogle Scholar
Lundgren, H. & Jonsson, I. G. 1961 Bed shear stress induced by a wave motion. Coastal Engineering Laboratory, Technical University of Denmark, Basic Research – Progress Report 1, pp. 3–5.Google Scholar
Mei, C. C. 1983 The Applied Dynamics of Ocean Surface Waves. John Wiley & Sons.Google Scholar
Monin, A. S. & Yaglom, A. M. 1973 Statistical Fluid Mechanics: Mechanics of Turbulence, vol. 1. MIT Press.Google Scholar
Sayre, W. W. 1968 Dispersion of mass in open-channel flow. Hydraulics papers, no. 3, Colorado State University, Fort Collins. (The material contained in this publication is identical to the dissertation of the same title submitted in March 1967 to Colorado State University in partial fulfilment of the requirements for the degree of Doctor of Philosophy in Civil Engineering.)Google Scholar
Sumer, B. M., Jensen, B. L. & Fredsøe, J. 1987 Turbulence in oscillatory boundary layers. In Advances in Turbulence (ed. Comte-Bello, Gt. & Mathieu, J.), pp. 556–567. Springer.CrossRefGoogle Scholar
Sumer, B. M., Jensen, P. M., Sørensen, L. B., Fredsøe, J. & Liu, P. L.-F. 2008 Turbulent solitary wave boundary layer. In Proceedings of the 18th International Offshore (Ocean) and Polar Engineering Conference (ISOPE), pp. 775–781. Vancouver, British Columbia, Canada.Google Scholar
Tanaka, H., Sumer, B. M. & Lodahl, C. 1998 Theoretical and experimental investigation on laminar boundary layers under cnoidal wave motion. Coastal Engng J. 40 (1), 81–98.CrossRefGoogle Scholar
Tuzi, R. & Blondeaux, P. 2008 Intermittent turbulence in a pulsating pipe flow. J. Fluid Mech. 599, 51–79.CrossRefGoogle Scholar
van Driest, E. R. 1956 On turbulent flow near a wall. J. Aeronaut. Sci. 23, 1007–1011.CrossRefGoogle Scholar
Vittori, G. & Blondeaux, P. 2008 a Boundary layer flow and bed shear stress under solitary wave. In Book of Abstract of the 31st International Conference on Coastal Engineering. Hamburg, Germany, Abstract No. 062.Google Scholar
Vittori, G. & Blondeaux, P. 2008 b Turbulent boundary layer under a solitary wave. J. Fluid Mech. 615, 433–443.CrossRefGoogle Scholar

Sumer et al. supplementary movie 1

Movie 1. (Fig. 7) Video illustrating the vortex tubes in plan view. U0m= 50.9cm/s, T = 9.3s, Re = 3.8×105. ωt = -33 to 122 degrees. Free-stream flow from left to right.

Download Sumer et al. supplementary movie 1(Video)
Video 1.2 MB

Sumer et al. supplementary movie 2

Movie 2. (Fig. 8) Video illustrating the vortex tubes in side view. U0m= 43.9cm/s, T = 9.2s, Re = 2.8×105. ωt = 37 to 131 degrees. Free-stream flow from left to right.

Download Sumer et al. supplementary movie 2(Video)
Video 194.6 KB

Sumer et al. supplementary movie 3

Movie 3. (Fig. 11) Video illustrating turbulent spots in plan view. U0m = 93.9cm/s, T = 7.8s, Re = 1.1×106. ωt = -100 to 84 degrees. Free-stream flow from left to right.

Download Sumer et al. supplementary movie 3(Video)
Video 815.2 KB