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Observations of the Enhancement of Kinetic Energy Dissipation Beneath Breaking Wind Waves

  • W. M. Drennan
  • K. K. Kahma
  • E. A. Terray
  • M. A. Donelan
  • S. A. Kitaigorodskii
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)

Abstract

Most attempts to characterize the kinetic energy dissipation in the upper 20 metres of the water column revert to simple wall layer scaling — proportional to the cube of the friction velocity u and inversely proportional to depth, ∈αu 3 z −1With a concomitant logarithmic velocity profile, this is consistent with a total kinetic energy flux from the wind of 3 . However, in fully rough flow and strongly forced waves the energy input may be one to two orders of magnitude greater. Where does this energy go? Why is it not reflected in most of the upper layer measurements? This paper attempts to answer these questions and to demonstrate that there are two regimes of kinetic energy dissipation in the near surface layers under breaking waves. Near the surface, the dissipation rate is very high and scales with the wave characteristics. At greater depths the dissipation rate drops quickly and reverts to wall layer scaling. In the intermediate region the dissipation decays more rapidly than z−1. This may be viewed as a transition region between the deeper shear layer and the near surface region, with intense patches of breaking-imposed turbulence. In the absence of density stratification, dissipation in near surface region is analogous to that due to grid-generated turbulence and decays as z−4

Keywords

Dissipation Rate Significant Wave Height Wind Wave Wall Layer Velocity Spectrum 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    Kitaigorodskii, S.A., M.A. Donelan, J.L. Lumley and E.A. Terray; Wave-turbulence interactions in the upper ocean. Part II. J. Phys. Oceanogr. 13 (1983) 1988–1999.ADSCrossRefGoogle Scholar
  2. [2]
    Stewart, R.W. and H.L. Grant; Determination of the rate of dissipation of turbulent energy near the sea surface in the presence of waves. J. Geophys. Res. 67 (1962) 3177–3180.ADSCrossRefGoogle Scholar
  3. [3]
    Soloviev, A.V., N.V. Vershinsky and V.A. Bezverchnii; Small-scale turbulence measurements in the thin surface layer of the ocean. Deep Sea Res. 35 (1988) 1859– 1874.Google Scholar
  4. [4]
    Gargett, A.E.; Ocean turbulence. Ann. Rev. of Fluid Mech. 21 (1989) 419–451.ADSCrossRefGoogle Scholar
  5. [5]
    Monahan, E.C.; Oceanic whitecaps. J. Phys. Oceanogr. 1 (1971) 139–144.ADSCrossRefGoogle Scholar
  6. [6]
    Donelan, M.A. and J.Motycka; Miniature drag sphere velocity probe. Rev. Sci. Instrum. 49 (1978) 298–304.ADSCrossRefGoogle Scholar
  7. [7]
    Donelan, M.A., J.Hamilton and W.H.Hui; Directional spectra of wind-generated waves. Phil. Trans. Roy. Soc. London A315 (1985) 509–562.ADSCrossRefGoogle Scholar
  8. [8]
    Banner, M.L.; Equilibrium spectra of wind waves. J. Phys. Oceanogr. 20 (1990) 966–984.ADSCrossRefGoogle Scholar
  9. [9]
    Terray, E.A., A.J.Williams III, and B.H.Brumley; Observation of shear free turbulence beneath whitecaps in the marine surface layer (in preparation).Google Scholar
  10. [10]
    Long, R.R.; Theory of turbulence in a homogeneous fluid induced by an oscillating grid. Phys. Fluids 21 (1978) 1887–1888.ADSMATHCrossRefGoogle Scholar
  11. [11]
    Kitaigorodskii, S.A.; On the fluid dynamical theory of turbulent gas transfer across an air-sea interface in the presence of breaking wind waves. J. Phys. Oceanogr. 14 (1984) 960–972.ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • W. M. Drennan
    • 1
  • K. K. Kahma
    • 2
  • E. A. Terray
    • 3
  • M. A. Donelan
    • 1
  • S. A. Kitaigorodskii
    • 4
  1. 1.Canada Centre for Inland WatersNational Water Research InstituteBurlingtonCanada
  2. 2.Finnish Institute for Marine ResearchHelsinkiFinland
  3. 3.Dept. of Ocean EngineeringWoods Hole Oceanographic InstitutionWoods HoleUSA
  4. 4.Dept. of Earth and Planetary ScienceJohns Hopkins UniversityBaltimoreUSA

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