Mean Velocity Changes due to Interaction between Bichromatic Waves and a Current
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 135, Issue 1
Abstract
This investigation deals with the changes in the mean velocity associated with a bichromatic wave train in a steady current. The Eulerian-mean velocity model originally developed for monochromatic waves is applied to the calculation of the mean horizontal velocity for bichromatic waves. Instantaneous two-dimensional velocity components for waves following or opposing a current were measured to examine the turbulent intensities and wave-current Reynolds stress. The experimental data suggest that wave direction is an important factor to change the vertical profile of mean velocity based on the logarithmic law. The predicted shape of the mean velocity shows quantitative agreement in the whole depth with the experimental data for various conditions such as irregular waves.
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References
Bakker, W. T., and Van Doorn, T. (1978). “Near-bottom velocities in waves with a current.” Proc., ICCE, ASCE, New York, 1394–1413.
Dingemans, M. W., Th van Kester, J. A., Radder, A. C., and Uittenbogaad, R. E. (1997). “The effect of the CL-vortex force in 3D wave-current interaction.” Proc., ICCE, ASCE, Reston, Va., 4821–4832.
Grant, W. D., and Madsen, O. S. (1979). “Combined wave and current interaction with a rough bottom.” J. Geophys. Res., 84(C4), 1797–1808.
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 formation.” J. Fluid Mech., 370, 271–296.
Huang, Z., and Mei, C. C. (2003). “Effects of surface waves on a turbulent current over a smooth or rough sea bed.” J. Fluid Mech., 497, 253–287.
Horikawa, K., and Watanabe, A. (1968). “Laboratory study of oscillatory boundary layer flow.” Proc. ICCE, ASCE, New York, 467–486.
Jonsson, I. G. (1963). “Measurements in the turbulent wave boundary layer.” Proc., IAHR, London, 85–92.
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. No. H840.32, Delft Hydraulics, Delft, The Netherlands.
Umeyama, M. (2005). “Reynolds stresses and velocity distributions in a wave-current coexisting environment.” J. Waterway, Port, Coastal, Ocean Eng., 131(5), 203–212.
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., ICCE, 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, Part A and B.” Rep., Delft Univ. of Technology, Delft, The Netherlands.
Van Hoften, J. D. A., and Karaki, S. (1977). “Interaction of waves and a turbulent current.” Proc., ICCE, 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, Part C and D.” Rep., Delft Univ. of Technology, Delft, The Netherlands.
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© 2009 ASCE.
History
Received: Jun 6, 2006
Accepted: Mar 31, 2008
Published online: Jan 1, 2009
Published in print: Jan 2009
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