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Measurements of atmospheric pressure on wind-generated sea waves

Published online by Cambridge University Press:  29 March 2006

Fred W. Dobson
Affiliation:
Institute of Oceanography, University of British Columbia, Vancouver, Canada Present address: Atlantic Oceanographic Laboratory, Bedford Institute, Dartmouth, Nova Scotia, Canada

Abstract

Simultaneous measurements of wave elevation and atmospheric pressure on wind-driven sea waves were made using a vertical wave-sensing rod and a small (23 cm diameter) pancake-shaped styrofoam buoy in which was embedded a sensitive pressure transducer; the wave probe constrained the buoy to move with the waves only in the vertical direction. Care was taken to avoid contamination of the pressure signal with dynamic pressures caused by flow distortion around the buoy.

Results are presented as power and cross-spectra of wave elevation and pressure, spectra of the fluxes of energy and momentum from the wind to the waves, and spectra of ζ the fractional increase in wave energy per radian.

The phase shifts of the pressure signal are compared with the laboratory and field results of other investigators, and with the theoretical predictions of Miles's (1957) inviscid laminar model of wave growth. Agreement is reasonably good among the experimental results, but observed phase shifts are an order of magnitude larger than the theoretically predicted values.

Integrals under the momentum flux spectra are compared in all runs with the predictions of the standard empirical formula, and in two cases are compared with the values of the total wind stress as measured with a sonic anemometer; the indication is that a large fraction of the total flux of momentum from the air to the sea goes initially into the wave field.

The ζ spectra are compared with the field results of Snyder & Cox (1966) and with the theoretical predictions of Miles's (1957) model; agreement is again good between the field results while the theory underpredicts ζ by factors of between 5 and 8.

A simple dimensionless relation is found between ζ and the ratio of wind speed to wave phase speed.

Type
Research Article
Copyright
© 1971 Cambridge University Press

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References

Benjamin, T. B. 1959 Shearing flow over a wavy boundary J. Fluid Mech. 6, 161.Google Scholar
Benjamin, T. B. & Feir, J. E. 1967 The disintegration of wave trains on deep water J. Fluid Mech. 27, 417.Google Scholar
Cooley, J. W. & Tukey, J. W. 1965 An algorithm for the machine calculation of complex Fourier series Math. Comput. 19, 297.Google Scholar
Davis, R. E. 1969 On the high Reynolds number flow over a wavy boundary J. Fluid Mech. 36, 337.Google Scholar
Davis, R. E. 1970 On the turbulent flow over a wavy boundary J. Fluid Mech. 42, 721.Google Scholar
Dobson, F. W. 1969 Observation of normal pressure on wind-generated sea waves. Ph.D. Dissertation, Institute of Oceanography, University of British Columbia.
Havelock, T. H. 1940 The pressure of water waves upon a fixed obstacle. Proc. Roy. Soc. A 175, 409.Google Scholar
Jeffreys, H. 1925 On the formation of water waves by wind. Proc. Roy. Soc. A 110, 341.Google Scholar
Kendall, J. M. 1970 The turbulent boundary layer over a wall with progressive surface waves J. Fluid Mech. 41, 259.Google Scholar
Kinsman, B. 1960 Surface waves at short fetches and low wind speeds—a field study Chesapeake Bay Inst., Johns Hopkins University Tech. Rep. 19, 175.Google Scholar
Kolesnikov, A. G. & Efimov, V. V. 1962 Apparatus for the measurement of the energy transmitted to ocean waves by the normal pressure of the wind Okeanologia, ANSSSR, 4, 505.Google Scholar
Lamb, H. 1932 Hydrodynamics (6th edition). Cambridge University Press.
Lighthill, M. J. 1962 Physical interpretation of the mathematical theory of wave generation by wind J. Fluid Mech. 14, 385.Google Scholar
Longuet-Higgins, M. S. 1969 Action of a variable stress at the surface of water waves Phys. Fluids, 12, 737.Google Scholar
Longuet-Higgins, M. S. 1970 Recent ideas on the generation of waves by wind. Verbal Presentation at IUGG-IAMAP-AMS Conference on Planetary Boundary Layers, Boulder, Colorado; March 1970.
Longuet-Higgins, M. S., Cartwright, D. E. & Smith, N. D. 1963 Observations of the directional spectrum of sea waves using the motions of a floating buoy. Ocean Wave Spectra, pp. 11132. Prentice-Hall.
Lumley, J. L. & Panofsky, H. A. 1964 The Structure of Atmospheric Turbulence. Interscience.
Miles, J. W. 1957 On the generation of surface waves by shear flows J. Fluid Mech. 3, 185.Google Scholar
Miles, J. W. 1959 On the generation of surface waves by shear flows. Part 2 J. Fluid Mech. 6, 568.Google Scholar
Miles, J. W. 1960 On the generation of surface waves by turbulent shear flows J. Fluid Mech. 7, 469.Google Scholar
Miles, J. W. 1967 On the generation of surface waves by shear flows. Part 5 J. Fluid Mech. 30, 163.Google Scholar
Phillips, O. M. 1957 On the generation of waves by turbulent wind J. Fluid Mech. 2, 417.Google Scholar
Phillips, O. M. 1966 The Dynamics of the Upper Ocean. Cambridge University Press.
Plate, E. J., Chang, P. C. & Hidy, G. M. 1969 Experiments on the generation of small water waves by wind J. Fluid Mech. 35, 625.Google Scholar
Shemdin, O. H. & Hsu, E. Y. 1967 The dynamics of wind in the vicinity of progressive water waves J. Fluid Mech. 30, 403.Google Scholar
Smith, S. D. 1967 Thrust anemometer measurements of wind-velocity spectra and of Reynolds stress over a tidal inlet J. Mar. Res. 25, 239.Google Scholar
Snyder, R. L. & Cox, C. S. 1966 A field study of the wind generation of ocean waves J. Mar. Res. 24, 141.Google Scholar
Stewart, R. H. 1970 Laboratory studies of the velocity field over deep-water waves J. Fluid Mech. 42, 733.Google Scholar
Stewart, R. W. 1961 The wave drag of wind over water J. Fluid Mech. 10, 189.Google Scholar
Stewart, R. W. 1967 Mechanics of the air-sea interface. Phys. Fluids, Supplement: Boundary Layers and Turbulence, 10, S47.Google Scholar
Van Dorn, W. G. 1953 Wind stress on an artificial pond J. Mar. Res. 12, 249.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. Atmos. Sci. 24, 653.Google Scholar
Wu, Jin 1970 A criterion for determining air-flow separation from wind waves. Tellus, 21, 707.Google Scholar