TECHNICAL PAPERS
Mar 1, 1985

Water Particle Velocities in Regular Waves

Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 111, Issue 2

Abstract

The Eulerian water particle velocities under paddle‐generated regular waves in a closed channel are not always accurately predicted by a conventional application of Stokes' first, second or fifth order wave theory. Phenomena, which give rise to errqrs, include mass‐transport, the partial clapotis formed by reflection from the spending beach and the free second harmonic wave produced by the sinusoidal motion of the paddle. Measurements taken with a Laser Doppler Anemometer indicate that the amplitudes predicted for the second harmonics of the velocity components can be over 100% in error. Furthermore, there is a mean horizontal velocity which is often greater than the amplitude of the second harmonic and can be 20% of the amplitude of the first harmonic. The observed mean velocities are compared with predictions based on Longuet‐Higgins' conduction solution. Because the design of a wave facility influences the particle kinematics, it is concluded that local empirical data will generally be required to achieve accurate predictions.

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References

1.
Bullock, G. N., and Short, I., “Characteristics of Laboratory Generated Regular Waves,” Report No. 82/167, Department of Civil Engineering, University of Salford, Salford, England, Mar., 1982.
2.
Hansen, J. B., and Svendsen, I. A., “Laboratory Generation of Waves of Constant Form,” Coastal Engineering, ASCE, Vol. 1, 1974, pp. 321–339.
3.
Longuet‐Higgins, M. S., “Mass Transport in Water Waves,” Philosophical Transactions of the Royal Society of London, A, Vol. 245, Mar., 1953, pp. 535–581.
4.
Nath, J. H., “Drift Speed of Buoys in Waves,” Coastal Engineering, ASCE, Vol. 1, New York, N.Y., 1978, pp. 859–877.
5.
Russell, R. C. H., and Osorio, J. D. C., “An Experimental Investigation of Drift Profiles in a Closed Channel,” Coastal Engineering, ASCE, New York, N.Y., 1958, pp. 171–183.
6.
Skjelbreia, L., and Hendrickson, J., “Fifth Order Gravity Wave Theory,” Coastal Engineering, ASCE, New York, N.Y., 1962, pp. 184–196.
7.
Stansby, P. K., Bullock, G. N., and Short, I., “Quasi 2‐D Forces on a Vertical Cylinder in Waves,” Journal of Waterway, Port Coastal and Ocean Engineering, ASCE, Vol. 109, No. 1, Feb., 1983, pp. 128–132.
8.
Ursell, F., “The Long‐wave Paradox in the Theory of Gravity Waves,” Proceedings of the Cambridge Philosophical Society, Vol. 42, 1953, pp. 685–694.
9.
Wiegel, R. L., “Theory of Periodic Waves,” Oceanographical Engineering, Prentice‐Hall Inc., Englewood Cliffs, N.J., 1964, pp. 11–64.

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Go to Journal of Waterway, Port, Coastal, and Ocean Engineering
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 111Issue 2March 1985
Pages: 189 - 200

History

Published online: Mar 1, 1985
Published in print: Mar 1985

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Authors

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Geoffrey N. Bullock
Reader, Dept. of Civ. Engrg., Plymouth Polytechnic, Plymouth, England; formerly Sr. Lect., Univ. of Salford
Ian Short
Engr. Ferranti Limited, Oldham, Greater Manchester England; formerly Research Asst., Univ. of Salford

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