Air-sea interaction: laws and mechanisms by G T Csanady,NetLibrary, Inc.

By G T Csanady,NetLibrary, Inc.

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Nevertheless, earlier observations already established that the scalar roughness length was much smaller than z 0 (Donelan, 1990; Smith, 1988), and that it at least did not increase with u ∗ . Until a better formulation evolves, the above relationships are explicit logarithmic laws derived from observation, without any unknown parameters. 68) a Keulegan number-like variable to the four thirds power times the same nondimensional variable that appears in Charnock’s law. This is eminently reasonable on general physical grounds: The Keulegan number-like variable is the ratio of the wave length scale u ∗2 /g to the conductive length scale K a /u ∗ , and it may be taken to be a measure of a wave-conductive (or diffusive, if Dv replaces K a ) boundary layer thickness.

Because only relatively high frequencies need to be observed, the dissipation method requires shorter averaging periods than the direct observation of u w , therefore allowing more frequent observations on a cruise. Its weakness is, however, that it relies on allowances for stability effects on the energy balance of turbulence, and on the values of some empirical constants in the underlying theory. As Yelland and Taylor’s (1996) careful discussion points out, the method “works” nevertheless, yielding estimates of the Reynolds flux in good agreement with direct correlation measurements, or more accurately, with similar scatter and a not too different mean value.

Until a better formulation evolves, the above relationships are explicit logarithmic laws derived from observation, without any unknown parameters. 68) a Keulegan number-like variable to the four thirds power times the same nondimensional variable that appears in Charnock’s law. This is eminently reasonable on general physical grounds: The Keulegan number-like variable is the ratio of the wave length scale u ∗2 /g to the conductive length scale K a /u ∗ , and it may be taken to be a measure of a wave-conductive (or diffusive, if Dv replaces K a ) boundary layer thickness.

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