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Growth of spectral components in a wind-generated wave train

Published online by Cambridge University Press:  28 March 2006

Alex J. Sutherland
Alex J. Sutherland
Affiliation:
Department of Civil Engineering, Stanford University
Now at School of Engineering, University of Canterbury, Christchurch, New Zealand.
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Abstract

Power spectral density measurements were made of the water surface displacement in a wind-generated wave train in the Stanford wind, water-wave research facility. Growth rates of different components were determined from the measured spectra. The resulting values were compared with those predicted by the viscous Reynolds stress mechanism of energy transfer from wind to wave which was proposed by Miles. Where the growth was exponential the theory could be made to predict growth rates successfully at wave frequencies less than 3·5 c/s. At higher frequencies the theory predicted values an order of magnitude larger than those measured. Limited regions of linear growth were found at the lowest wind speed for components with frequencies less than 2·5 c/s. The scatter in the data did not permit a quantitative comparison with theory to be made for this range.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 33 , Issue 3 , 2 September 1968 , pp. 545 - 560
Copyright
© 1968 Cambridge University Press

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References

Barnett, T. P. & Wilkerson, J. G. 1967 On the generation of wind waves as inferred from airborne radar measurements of fetch-limited spectra. J. Mar. Res. 25 (3), 292–328.Google Scholar
Benjamin, T. B. 1959 Shearing now over a wavy boundary J. Fluid Mech. 6, 161–205.Google Scholar
Blackman, R. B. & Tukey, J. W. 1959 The Measurement of Power Spectra from the Point of View of Communications Engineering. New York: Dover.
Hidy, G. M. & Plate, E. J. 1966 Wind action on water standing in a laboratory wave channel J. Fluid Mech. 26, 651–687.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. 1960 On the generation of surface waves by turbulent shear flows J. Fluid Mech. 7, 469–478.Google Scholar
Miles, J. W. 1962a On the generation of surface waves by shear flows. Part 4 J. Fluid Mech. 13, 433–448.Google Scholar
Miles, J. W. 1962b A note on the inviscid Orr-Sommerfeld equation J. Fluid Mech. 13, 427–432.Google Scholar
Phillips, O. M. 1957 On the generation of waves by turbulent wind J. Fluid Mech. 2, 417–445.Google Scholar
Phillips, O. M. 1966 The Dynamics of the Upper Ocean. Cambridge University Press.
Shemdin, O. H. 1967 Experimental and analytical investigation of the air velocity profile above progressive waves. Stanford University, Dept of Civil Engng Tech. Rept no. 82, Stanford.Google Scholar
Sutherland, A. J. 1967 Spectral measurements and growth rates of wind generated water waves. Stanford University, Dept of Civil Engng Tech. Rept. no. 84, Stanford.Google Scholar