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The influence of wave breaking on the surface pressure distribution in wind—wave interactions

Published online by Cambridge University Press:  26 April 2006

Michael L. Banner
Michael L. Banner
Affiliation:
School of Mathematics, University of New South Wales, PO Box 1, Kensington, NSW 2033, Australia
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Abstract

In reviewing the current status of our understanding of the mechanisms underlying wind-wave generation, it is apparent that existing theories and models are not applicable to situations where the sea surface is disturbed by breaking waves, and that the available experimental data on this question are sparse. In this context, this paper presents the results of a detailed study of the effects of wave breaking on the aerodynamic surface pressure distribution and consequent wave-coherent momentum flux, as well as its influence on the total wind stress.

Two complementary experimental configurations were used to focus on the details and consequences of the pressure distribution over breaking waves under wind forcing. The first utilized a stationary breaking wave configuration and confirmed the presence of significant phase shifting, due to air flow separation effects, between the surface pressure and surface elevation (and slope) distributions over a range of wind speeds. The second configuration examined the pressure distribution, recorded at a fixed height above the mean water surface just above the crest level, over short mechanically triggered waves which were induced to break almost continuously under wind forcing. This allowed a very detailed comparison of the form drag for actively breaking waves and for waves of comparable steepness just prior to breaking (‘incipiently’ breaking waves). For these propagating steep-wave experiments, the pressure phase shifts and distributions closely paralleled the stationary configuration findings. Moreover, a large increase (typically 100%) in the total windstress was observed for the breaking waves, with the increase corresponding closely to the comparably enhanced form drag associated with the actively breaking waves.

In addition to further elucidating some fundamental features of wind-wave interactions for very steep wind waves, this paper provides a useful data set for future model calculations of wind flow over breaking waves. The results also provide the basis for a parameterization of the wind input source function applicable for a wave field undergoing active breaking, an important result for numerical modelling of short wind waves.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 211 , February 1990 , pp. 463 - 495
Copyright
© 1990 Cambridge University Press

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References

Al-Zanaidi, M. A. & Hui, W. H. 1984 Turbulent airflow over water waves - a numerical study. J. Fluid Mech. 148, 225–246.Google Scholar
Banner, M. L. 1986 A comparison of the wave-induced momentum flux to breaking and nonbreaking waves. In Wave Dynamics and Radio Probing of the Sea Surface (ed. O. M. Phillips & K. Hasselmann), pp. 321–333. Plenum.
Banner, M. L. 1988 On the mechanics of spilling zones of quasi-steady breaking waves. In Sea Surface Sound (ed. B. R. Kerman), NATO ASI series C: Math. and Phys. Sciences vol. 238, pp. 63–70. Dordrecht: Kluwer.
Banner, M. L. & Fooks, E. H. 1985 On the microwave reflectivity of small-scale breaking water waves.. Proc. R. Soc. Lond. A 399, 93–109.Google Scholar
Banner, M. L. & Melville, W. K. 1976 On the separation of air flow above water waves. J. Fluid Mech. 77, 825–842.Google Scholar
Barnett, T. P. & Kenyon, K. E. 1975 Recent advances in the study of wind waves. Rep. Prog. Phys. 38, 667–729.Google Scholar
Buckles, J., Hanratty, T. J. & Adrian, R. J. 1984 Turbulent flow over large amplitude wavy surfaces. J. Fluid Mech. 140, 27–44.Google Scholar
Chang, P., Plate, E. J. & Hidy, G. M. 1971 Turbulent air flow over the dominant component of wind-generated water waves. J. Fluid Mech. 47, 183–208.Google Scholar
Csanady, G. T. 1985 Air-sea momentum transfer by means of short-crested wavelets. J. Phys. Oceanogr. 15, 1486–1501.Google Scholar
De Boor, C. 1978 A Practical Guide to Splines, Springer. 392 pp.
Donelan, M. A. & Pierson, W. J. 1987 Radar scattering and equilibrium ranges in wind-generated waves with application to scatterometry. J. Geophys. Res. 92, 4971–5029.Google Scholar
Geernaert, G. L., Katsaros, K. B. & Richter, K. 1986 Variation of the drag coefficient and its dependence on sea state. J. Geophys. Res. 91, 7667–7679.Google Scholar
Gent, P. R. 1977 A numerical study of air flow above water waves. Part 2. J. Fluid Mech. 82, 349–369.Google Scholar
Gent, P. R. & Taylor, P. A. 1976 A numerical model of the air flow above water waves. Part 1. J. Fluid Mech. 77, 105–128.Google Scholar
Gent, P. R. & Taylor, P. A. 1977 A note on ‘separation’ over short wind waves. Boundary-Layer Met. 11, 65–87.Google Scholar
Kawai, S. 1981 Visualization of air flow separation over wind wave crests under moderate wind. Boundary-Layer Met. 21, 91–104.Google Scholar
Kawai, S. 1982 Structure of air flow separation over wind wave crests. Boundary-Layer Met. 23, 503–521.Google Scholar
Koga, M. 1984 Characteristics of a breaking wind-wave field in the light of the individual wind-wave concept. J. Ocean Soc. Japan 40, 105–114.Google Scholar
Kwoh, D. S. W. & Lake, B. M. 1984 A deterministic, coherent, and dual-polarized laboratory study of microwave backscattering from water waves. Part I. Short gravity waves without wind. IEEE, J. Oceanic Engng OE-9, 5, 291–308.Google Scholar
Mitsuyasu, H. 1985 A note on the momentum transfer from wind to waves. J. Geophys. Res. 90, 3343–3345.Google Scholar
Mitsuyasu, H. & Honda, T. 1982 Wind-induced growth of water waves. J. Fluid Mech. 123, 425–442.Google Scholar
Mitsuyasu, H. & Kusaba, T. 1988 On the relation between the growth rate of water waves and the wind speed. J. Ocean Soc. Japan 44, 136–142.Google Scholar
Longuet-Higgins, M. S. & Smith, N. D. 1983 Measurements of breaking waves by a surface meter. J. Geophys. Res. 88, 9823–9831.Google Scholar
Okuda, K. 1981 Internal flow structure of short wind waves. Part 1. On the internal vorticity structure. J. Ocean Soc. Japan 38, 28–42.Google Scholar
Okuda, K. 1982a Internal flow structure of short wind waves. Part 2. The streamline pattern. J. Ocean Soc. Japan 38, 313–322.Google Scholar
Okuda, K. 1982b Internal flow structure of short wind waves. Part 3. Pressure distributions. J. Ocean Soc. Japan 38, 331–338.Google Scholar
Okuda, K., Kawai, S. & Toba, Y. 1977 Measurements of skin friction distribution along the surface of wind waves. J. Ocean Soc. Japan 33, 190–198.Google Scholar
Papadimitrakis, Y. A. 1982 Velocity and pressure measurements in the turbulent boundary layer above mechanically generated water waves. Ph.D dissertation, Dept. Civil Engng, Stanford University 445 pp.
Phillips, O. M. 1977 The sea surface, ch. 12 in Modelling and Prediction of the Upper Layers of the Ocean (ed. E. B. Kraus). Pergamon. 325 pp.
Plant, W. J. 1980 On the steady-state energy balance of short gravity wave systems. J. Phys. Oceanog. 10, 1340–1352.Google Scholar
Plant, W. J. 1982 A relationship between wind stress and wave slope. J. Geophys. Res. 87, 1961–1967.Google Scholar
Plant, W. J. & Wright, J. W. 1977 Growth and equilibrium of short gravity waves in a wind-wave tank. J. Fluid Mech. 82, 767–793.Google Scholar
Snyder, R. L., Dobson, F. W., Elliott, J. A. & Long, R. G. 1981 Array measurements of atmospheric pressure fluctuations above surface gravity waves. J. Fluid Mech. 102, 1–59.Google Scholar
Wu, H.-Y., Hsu, E. Y. & Street, R. L. 1977 The energy transfer due to air-input, non-linear wave-wave interaction and white-cap dissipation associated with wind-generated waves. Civ. Engng Tech. Rep. 207, Stanford University. 158 pp.Google Scholar
Young, I. R. 1983 The response of waves to an opposing wind. Ph.D thesis, Dept of Civil and Systems Engng, James Cook University, Australia. 289 pp.
Xu, D., Hwang, P. A. & Wu, J. 1986 Breaking of wind-generated waves. J. Phys. Oceanog. 16, 2172–2178.Google Scholar