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Near the Surface

As has often been remarked in the context of global climate, a mere 2.5 m depth of water has the same heat capacity as the whole depth of the atmosphere. The absorption, storage and release of this heat has a crucial long-term effect on climate. In his review of air-sea interactions, Donelan [1990] concluded that the widest gap in our knowledge of air-sea interactions lies in the aqueous boundary layer and its relation to surface waves. How well do we understand the nature of turbulence near the surface? We frequently look for guidance to the atmospheric boundary layer. But most studies of the atmospheric boundary layer have been made over solid boundaries, while the ocean lies beneath a free surface. So it is not, a priori, clear that the two should be similar.

But there are distinct similarities. In the convecting oceanic boundary layer we find a superadiabatic surface layer [ Anis and Moum, 1992] overlying a well-mixed layer, like the atmospheric boundary layer during convection. Dissipation measurements in the well-mixed layer do scale with the surface buoyancy flux, as they do in the convecting atmospheric boundary layer [ Shay and Gregg, 1986; Imberger, 1985]. Within the surface layer, dissipation measurements sometimes show agreement with atmospheric scaling laws, in which the flow over the solid boundary results in a quasi-constant-stress layer, with corresponding logarithmic velocity profile and , where z is the depth [ Dillon et al., 1981; Imberger, 1985; Soloviev et al., 1988, 1989; Lombardo and Gregg, 1989].

However, there is an increasing body of observations near the surface of both lakes and oceans that suggest that mixing is much more energetic than predicted by constant-stress scaling. Kitaigorodskii et al. [1983] measured values of beneath wind waves in Lake Ontario that were two orders of magnitude greater than . Moreover, in their measurements the depth dependence of was inconsistent with pure shear-produced turbulence, and turbulence velocities depended strongly on wave energy. Intense near-surface dissipation rates in a strongly convecting mixed layer observed by Gregg [1987] were also several orders of magnitude greater than . These large dissipation rates extended to depths of at least 30 m. It was suggested that the large values of could be due to convective plumes, surface breaking waves, Langmuir circulations or some combination of all three. Gargett [1989] presented vertical profiles of near the surface which showed a depth dependence like a constant-stress layer on calm days but closer to on windy days. In submarine measurements, Osborn et al. [1992] also found values of much greater than near the sea surface, accompanied by acoustically-detected bubble clouds presumed to be produced by breaking surface waves. Agrawal et al. [1992] obtained time series at the sea surface and found to be highly intermittent, with background values near constant-stress layer predictions but with a substantial fraction of values exceeding by at least an order of magnitude, so that mean values at a particular depth were much greater than . Anis and Moum [1995] found examples of both cases in open ocean conditions and suggested two possible mechanisms for the generation of turbulence by surface waves in the presence of swell. In the first, turbulence generated by surface wave breaking is carried downward by the swell, while diffusing and decaying, causing a net downward transport of turbulence kinetic energy, which then dissipates. In the second, in a slightly rotational wave field, energy drawn from the wave field to the mean flow, via wave stresses, may in turn be drawn from the mean flow by turbulence production, and then dissipated.

So our current picture is that some elements of the oceanic surface boundary layer are similar to those in the atmospheric layer above it, but that waves may force turbulence in the ocean that is much more energetic than in the atmosphere.



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U.S. National Report to IUGG, 1991-1994
Rev. Geophys. Vol. 33 Suppl., © 1995 American Geophysical Union