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On characteristics of the water-particle velocity in a plunging breaker

Published online by Cambridge University Press:  20 April 2006

Takeo Nakagawa
Affiliation:
Department of Civil Engineering, Kanazawa Institute of Technology, Nonoichi, Kanazawa 921 Japan

Abstract

Three velocity components of water particles in a plunging breaker over a horizontal step on the bed of a two-dimensional laboratory wave tank have been determined simultaneously by means of an elaborate flowmeter that measures the flow drag on three ‘tension threads’, with each recording a separate flow component.

It is found that all three of the r.m.s. values in the plunging breaker become maximum at x/L ≈ 0·7, where x is the distance from the breaking point to the shore and L is the wavelength. It is found that both the velocity and r.m.s. values of the transverse flow component generated by the shoaling and wave breaking become comparable to those of the other two flow components.

On the basis of spectral analyses it is found that major wave frequencies in both the longitudinal and vertical flow components of the original two-dimensional wave survive even after experiencing relatively strong shoaling and wave breaking, and part of the original wave energy is transferred to the transverse flow component and is located at these major frequencies. It is found that the majority of the higher-harmonic-frequency components (or turbulent fluctuations) are generated in the shoaling process and that the wave breaking provides a relatively minor contribution to the generation. Finally, it is found that, through the shoaling and wave breaking, the original wave energy is transported to a frequency range lower than the primary wave frequency (negative cascade), as well as to the higher frequency range (positive cascade) in each flow component.

Type
Research Article
Copyright
© 1983 Cambridge University Press

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References

Adeyemo, M. D. 1970 Velocity field in the wave breaker zone. In Proc. 12th Conf. Coastal Engng, p. 435.
Battjes, J. A. & Sakai, T. 1981 Velocity field in a steady breaker J. Fluid Mech. 111, 421.Google Scholar
Blackman, R. B. & Tukey, U. W. 1958 The Measurement of Power Spectra. Dover.
Bub, F. L. 1974 Surf zone wave kinematics. M.Sc. thesis, Naval Postgraduate School, Monterey, California.
Fuuhrböter, A. & Büsching, F. 1974 Wave measuring instrumentation for field investigations on breakers. In Proc. Int. Symp. on Ocean Wave Measurement and Analyses. A.S.C.E.
Galvin, J. J. 1975 Kinematics of surf zone breaking wave; measurement and analysis. M.Sc. thesis, Naval Postgraduate School, Monterey, California.
Horikawa, K. & Kuo, C. T. 1966 A study on wave transformation inside surf zone. In Proc. 10th Conf. Coastal Engng, p. 217.
Iversen, H. W. 1952 Waves and breakers in shoaling water. In Proc. 3rd Conf. Coastal Engng, p. 1.
Longuet-Higgins, M. S. & Cokelet, E. D. 1976 The deformation of steep surface waves on water. 1. A numerical method of computation. Proc. R. Soc. Lond. A 350, 1.Google Scholar
Miller, R. L. & Ziegler, J. M. 1964 The internal velocity field in breaking waves. In Proc. 9th Conf. Coastal Engng, p. 103.
Morison, J. R. & Crooke, R. C. 1953 The mechanics of deep water, shallow water, breaking waves. Beach Erosion Board, Washington, D.C., Tech. Memo. no. 40.Google Scholar
Nakagawa, T. 1982a Structural analyses and fluid dynamical considerations on tension thread flowmeter (in Japanese). In Proc. 28th Japanese Structural Engng Symp., p. 65.
Nakagawa, T. 1982b A new instrument to measure three velocity components of water particles in breaking waves. Submitted to J. Phys. E: Sci. Instrum.Google Scholar
Nakagawa, T., Iwata, K. & Koyama, H. 1981 On characteristic of water particle velocity in breaking waves measured with tension thread flowmeter (in Japanese). In Proc. 28th Conf. Japanese Coastal Engng, p. 20.
Peregrine, D. E. & Svendsen, I. A. 1978 Spilling breakers, bores and hydraulic jumps. In Proc. 16th Conf. Coastal Engng, p. 540.
Steer, R. 1972 Kinematics of water particle motion within the surf zone. M.S. thesis, Naval Postgraduate School, Monterey, California.
Thornton, E. B. 1968 A field investigation of sand transport in the surf zone. In Proc. 11th Conf. Coastal Engng, p. 335.
Thornton, E. B., Galvin, J. J., Bub, F. L. & Richardson, D. P. 1976 Kinematics of breaking waves. In Proc. 15th Conf. Coastal Engng, p. 461.
Thornton, E. B. & Richardson, D. P. 1974 The kinematics of water particle velocities of breaking waves within the surf zone. Naval Postgraduate School, Monterey, California, Tech. Rep. NPS-58 TM 74011 A.Google Scholar
Walker, J. R. 1969 Estimation of ocean wave-induced particle velocities from the time history of a bottom mounted pressure transducer. M.Sc. thesis, University of Hawaii.
Wood, W. L. 1973 A wave and current investigation on the nearshore zone. Dept of Natural Science, Michigan State University, E. Lansing, Michigan.