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Laboratory studies of wind–wave interactions

Published online by Cambridge University Press:  28 March 2006

Jin Wu
Affiliation:
HYDRONAUTICS, Incorporated, Laurel, Maryland

Abstract

The present study consists of wind profile surveys, drift current measurements and water surface observations for a wide range of wind velocities in a wind–wave tank. It is confirmed that the velocity distribution essentially follows the logarithmic law near the water surface and the velocity-defect law toward the outer edge of the boundary layer. The wind stresses and surface roughnesses calculated from these distributions are divided into two groups separated by the occurrence of the wave-breaking phenomenon. For low wind velocities the surface roughness is dictated by ripples, and the wind-stress coefficient varies with U0−½, where U0 is the free-stream wind velocity. The surface roughness is proportional to the average height of the basic gravity wave at higher wind velocities; the stress coefficient is then proportional to U0. In addition, it is found that Charnock's expression (k ∝ u*2/g) holds only at high wind velocities, and that the constant of proportionality determined from the present experiment correlates very well with field observations. A new technique, involving the use of various-sized surface floats to determine the drift current gradient and the surface drift current, has been developed. A good agreement is shown between the gradients obtained from the measured currents and those determined from the wind stresses. Finally, the wind-stress coefficient is shown to be larger than the friction coefficient for turbulent flow along a solid rough surface; the difference is shown to be the wave drag of the wind over the water surface.

Type
Research Article
Copyright
© 1968 Cambridge University Press

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References

Charnock, H. 1955 Wind stress on water surface Quart. J. Roy. Met. Soc. 81, 639.Google Scholar
Francis, J. R. D. 1951 The aerodynamic drag of a free water surface Proc. Roy. Soc. A 206, 387.Google Scholar
Francis, J. R. D. 1956 The speed of drifting bodies in a stream J. Fluid Mech. 1, 517.Google Scholar
Hamada, T., Mitsuyasu, H. & Hase, N. 1953 Experimental study of wind effects on water surface. Transport Tech. Res. Rept. Tokyo, no. 8.Google Scholar
Hidy, G. M. & Plate, E. J. 1966 Wind action on water standing in a laboratory channel J. Fluid Mech. 26, 651.Google Scholar
Keulegan, G. H. 1951 Wind tides in small closed channels J. Res. Nat. Bur. Stand. 46, 358.Google Scholar
Landweber, L. & Siao, T. T. 1958 Comparison of two analyses of boundary-layer data on a flat plate J. Ship Res. 1, no. 4, 21.Google Scholar
Phillips, O. M. 1966 The Dynamics of the Upper Ocean. Cambridge University Press.
Schlichting, H. 1960 Boundary Layer Theory. New York: McGraw-Hill.
Sibul, O. 1955 Laboratory study of the generation of wind waves in shallow water. Beach Erosion Board Tech. Mem. 72.Google Scholar
Stewart, R. W. 1961 The wave drag of wind over water J. Fluid Mech. 10, 189.Google Scholar
Ursell, F. 1956 Wave Generation by Wind in Surveys in Mechanics (Ed. G. K. Batchelor and R. M. Davies). Cambridge University Press.