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Laboratory studies of the velocity field over deep-water waves

Published online by Cambridge University Press:  29 March 2006

Robert H. Stewart
Robert H. Stewart
Affiliation:
Scripps Institution of Oceanography University of California, San Diego
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Abstract

The mean-velocity field over monochromatic, 1·96 Hz, deep-water waves was measured by means of hot-wire anemometers for a range of wind speeds (relative to wave speed) of 0·4 to 3·0. The mean-velocity profile, over waves 0·64 cm in amplitude, was the same as that over a rough plate; that is, the mean velocity varied as the logarithm of the height above the mean-water level, except very close to the water, where the effect of the viscous sublayer became important. The wave-induced perturbation-velocity field and its associated Reynolds stresses were also measured and compared with numerical solutions of various linear equations governing shearing flow over a wavy boundary. The comparison showed that the measured velocity field was not well predicted by these theories.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 42 , Issue 4 , 30 July 1970 , pp. 733 - 754
Copyright
© 1970 Cambridge University Press

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References

Baines, W. D. & Knapp, D. J. 1965 Wind driven water currents. J. Hydr. Div., Proc. A.S.C.E. HY2, 205–221.Google Scholar
Barnett, T. P. & Wilkerson, J. C. 1967 On the generation of ocean wind waves as inferred from airborn radar measurements of fetch-limited spectra. J. Mar. Res. 25, 292–328.Google Scholar
Benjamin, T. B. 1959 Shearing flow over a wavy boundary. J. Fluid Mech. 6, 161–205.Google Scholar
Bole, J. B. & Hsu, E. Y. 1969 Response of gravity water waves to wind excitation. J. Fluid Mech. 35, 657–675.Google Scholar
Coles, D. 1954 The problem of the turbulent boundary layer. Z. angew. Math. Phys. 5, 181–203.Google Scholar
Davis, R. E. 1970 On the turbulent flow over a wavy boundary. J. Fluid Mech. 42, 721.Google Scholar
Hidy, G. M. & Plate, E. J. 1966 Wind action on water standing in a laboratory channel. J. Fluid Mech. 26, 651–687.Google Scholar
Hinze, J. O. 1959 Turbulence. New York: McGraw-Hill.
Keulegan, G. H. 1951 Wind tides in small closed basins. J. Res. Nat. Bur. Standards, 46, 358–381.Google Scholar
Miles, J. W. 1957 On the generation of surface waves by shear flows. J. Fluid Mech. 3, 185–204.Google Scholar
Miles, J. W. 1959 On the generation of surface waves by shear flows. Part 2. J. Fluid Mech. 6, 568–582.Google Scholar
Miles, J. W. 1965 On the generation of surface waves by shear flows. Part 5. J. Fluid Mech. 30, 163–175.Google Scholar
Munk, W. H. & Cartwright, D. E. 1966 Tidal spectroscopy and prediction. Phil. Trans. Roy. Soc. A 259, 533–581.Google Scholar
Phillips, O. M. 1966 The Dynamics of the Upper Ocean. Cambridge University Press.
Roshko, A. 1955 On the development of turbulent wakes from vortex streets. Nat. Adv. Comm. Aero. Rep. 1191, Wash. D.C.Google Scholar
Seeholtz, J. R. 1968 A field investigation of air flow immediately above ocean surface waves. Dept. of Meteorology Rep., Mass. Inst. Tech.Google Scholar
Shemdin, O. H. 1967 Experimental and analytical investigations of the air velocity above progressive waves. Stanford University. Dept. Civil Engng. Tech. Rep. 82.Google Scholar
Shemdin, O. H. & Hsu, E. Y. 1966 The dynamics of wind in the vicinity of progressive water waves. Stanford University. Dept. Civil Engng. Tech. Rep. 66.Google Scholar
Shemdin, O. H. & Hsu, E. Y. 1967 Direct measurements of aerodynamic pressure above a simple progressive gravity wave. J. Fluid Mech. 30, 403–416.Google Scholar
Snyder, R. L. & Cox, C. S. 1966 A field study of the wind generation of ocean waves. J. Mar. Res. 24, 141–178.Google Scholar
Stewart, R. H. 1969 Laboratory studies of the velocity field over deep-water waves. Ph.D. dissertation, University of California, San Diego.
Stewart, R. W. 1961 Wave drag over water. J. Fluid Mech. 10, 189–194.Google Scholar
Stewart, R. W. 1967 Mechanics of the air-sea interface. Phys. Fluids, 10, S47–S55.Google Scholar
Takeda, A. 1963 Wind profile above sea waves. J. oceanographical Soc. Japan 19, 136–142.Google Scholar
Weiler, H. S. & Burling, R. W. 1967 Direct measurements of stress and spectra of turbulence in the boundary layer over the sea. J. Atmospheric Sci. 24, 653–664.Google Scholar
Wu, J. 1968 Laboratory studies of wind — wave interactions. J. Fluid Mech. 34, 91–111.Google Scholar