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Sep 1, 2005

Reynolds Stresses and Velocity Distributions in a Wave-Current Coexisting Environment

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Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 131, Issue 5

Abstract

To investigate changes in the mean velocity profile owing to the interaction between waves and a current, the horizontal and vertical velocity components in the oscillating fluid were measured by a two-dimensional laser anemometer in a recirculating wave tank. The observed instantaneous velocity data concerning waves following and opposing a current were analyzed to obtain the Eulerian-mean velocity, the wave-current Reynolds stress, and the wave-current turbulent intensities. The wave-current Reynolds stress behaves differently when current direction changes. The general characteristic of the Eulerian-mean velocity is greatly affected by the wave-current Reynolds stress. The mean velocity for waves following (opposing) a current is reduced (increased) towards the free surface, when compared with the logarithmic profile. These velocity data were used to verify the results by velocity equations based on the phase-averaged Prandtl momentum-transfer theory. In addition, measurement of water-surface elevations revealed that the phase-averaged waveform for a pure wave is peaked near the crest but flatter near the trough and the variation of the water surface is well predicted by the third-order Stokes wave equation. The original pattern of the waveform varies due to the wave-current interaction, but the current direction only minimally affects the attenuation of the surface waves.

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References

Bakker, W. T., and Van Doon, T. (1978). “Near-bottom velocities in waves with a current.” Proc., Int. Conf. on Coastal Engineering, ASCE, New York, 1394–1413.
Dore, B. D. (1978). “Some effects of the air-water interface on gravity waves.” Geophys. Astrophys. Fluid Dyn., 10, 215–230.
Dingemans, M. W., van Kester, J. A., Radder, A. C., and Uittenbogaad, R. E. (1996). “The effect of the CL-vortex force in 3D wave-current interaction.” Proc., Int. Conf. on Coastal Engineering, ASCE, New York, 4821–4832.
Grant, W. D., and Madsen, O. S. (1979). “Combined wave and current interaction with a rough bottom.” J. Geophys. Res., 84(4), 1797–1808.
Groeneweg, J., and Battjes, J. A. (1998). “3D wave-current interactions in wave-current channels.” Proc., Int. Conf. on Coastal Engineering, ASCE, New York, 732–744.
Groeneweg, J., and Battjes, J. A. (2003). “Three-dimensional wave effects on a steady current.” J. Fluid Mech., 478, 325–343.
Groeneweg, J., and Klopman, G. (1998). “Changes of the mean velocity profiles in the combined wave-current motion described in a GLM formulation.” J. Fluid Mech.370, 271–296.
Kemp, P. H., and Simons, R. R. (1982). “The interaction of waves and a turbulent current: Waves propagating with the current.” J. Fluid Mech., 116, 227–250.
Kemp, P. H., and Simons, R. R. (1983). “The interaction of waves and a turbulent current: Waves propagating against the current.” J. Fluid Mech., 130, 73–89.
Klopman, G. (1994). “Vertical structure of the flow due to waves and currents.” Prog. Rep. H840.32, Delft Hydraulics, Delft, The Netherlands.
Klopman, G. (1997). “Secondary circulation of the flow due to waves and current: Laser-Doppler flow measurements for waves following or opposing a current.” Prog. Rep. Z2247, Delft Hydraulics, Delft, The Netherlands.
Longuet-Higgins, M. S. (1953). “Mass transport in waters.” Philos. Trans. R. Soc. London, 245, 535–581.
Madsen, O. S. (1995). “Spectral wave-current bottom boundary layer flows.” Proc., Int. Conf. on Coastal Engineering, ASCE, New York, 384–398.
Mathisen, P. P., and Madsen, O. S. (1996a). “Waves and currents over a fixed rippled bed: Bottom roughness experienced by waves in the presence and absence of currents.” J. Geophys. Res., 101(7), 16533–16542.
Mathisen, P. P., and Madsen, O. S. (1996b). “Waves and currents over a fixed rippled bed: Bottom roughness experienced by currents in the presence of waves.” J. Geophys. Res., 101(7), 16543–16550.
Nielsen, P., and You, Z. J. (1997). “Eulerian-mean velocities under non-breaking waves on horizontal bottoms.” Proc., Int. Conf. on Coastal Engineering, ASCE, New York, 4066–4078.
Parikh, P. G., Reynolds, W. C., Jayaraman, R., and Carr, L. W. (1981). “Dynamic behavior of an unsteady turbulent boundary layer.” Unsteady turbulent shear flows, Springer-Verlag, Berlin, 35–46.
Prandtl, L. (1932). “Zur turbulenten Strömung in röhren und längs platten.” Ergebn. Aerodyn. Versuchsanst, 4, 18–29 (in German).
Umeyama, M. (1992). “Vertical distribution of suspended sediment in uniform open-channel flow.” J. Hydraul. Eng., 118(6), 936–941.
Umeyama, M. (1993). “Wave overtopping on vertical boundary and water-surface displacement.” J. Waterw., Port, Coastal, Ocean Eng., 119(3), 243–260.
Umeyama, M. (1999). “Velocity and concentration fields in uniform flow with coarse sands.” J. Hydraul. Eng., 125(6), 653–656.
Umeyama, M., and Gerritsen, F. (1992). “Velocity distribution in uniform sediment-laden flow.” J. Hydraul. Eng., 118(2), 229–245.
Umeyama, M., and Van de Graaff, J. (2001). “Time-averaged distributions of velocity and sediment-concentration under irregular waves and currents.” Proc., Int. Conf. on Coastal Engineering, ASCE, Reston, Va., 2995–3007.
Van der Kaaij, T. H., and Nieuwjaar, M. W. C. (1987). “Sediment concentrations and transport in case of irregular non-breaking waves with a current. Parts A and B.” Rep., Delft University of Technology, Delft, The Netherlands.
Van Hoften, J. D. A., and Karaki, S. (1976). “Interaction of waves and a turbulent current.” Proc., Int. Conf. on Coastal Engineering, ASCE, New York, 404–422.
Van Kampen, H. F. A., and Nap, E. N. (1988). “Sediment concentrations and transport in case of irregular non-breaking waves with a current. Parts C and D.” Rep., Delft University of Technology, Delft, The Netherlands.
Van Rijn, L. C., Nieuwjaar, M. W. C., Van der Kaaij, T. H., Nap, E., and Van Kampen, H. F. A. (1993). “Transport of fine sands by currents and waves.” J. Waterw., Port, Coastal, Ocean Eng., 119(2), 123–143.

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Go to Journal of Waterway, Port, Coastal, and Ocean Engineering
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 131Issue 5September 2005
Pages: 203 - 212

History

Received: Jan 22, 2004
Accepted: Dec 27, 2004
Published online: Sep 1, 2005
Published in print: Sep 2005

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Motohiko Umeyama
Professor, Dept. of Civil Engineering, Tokyo Metropolitan Univ., 1-1 Minamiohsawa, Hachioji, Tokyo 192-0397, Japan. E-mail: [email protected]

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