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Extra info for Air-sea interaction: laws and mechanisms
Boundary layer processes affecting z t or z q presumably depend on the wave variables u ∗ and g, plus fluid properties controlling the viscous, conductive, or diffusive boundary layers – viscosity νa , thermometric conductivity K a in the case of heat transfer, diffusivity Dv , in the case of evaporation. The only length scale one can form from these variables under the constraint that it should vary as 1/u ∗2 is K a4/3 g 1/3 /u ∗2 , or a similar combination with viscosity or diffusivity replacing thermometric conductivity.
78) where Sc is the Schmidt number, Sc = νw /Dw . The left-hand side is nondimensional gas transfer velocity; recent publications denote it by k + or k/u ∗w , with k the gas transfer velocity. Various investigators reported that the appearance of short waves coincides with rapid increase of gas transfer. This points to a possible role of gravity, g, and wave age C p /u ∗ .
According to a study of Blanc (1985), C D according to ten different formulae then in use varied within wide limits, by about ±20%. 19, but not appearing in Charnock’s law. One independent nondimensional variable of potential importance is the Keulegan number, Ke = u ∗3 /gνa . This may be regarded as the ratio of the waveheight scale u ∗2 /g that appears in Charnock’s law, and the viscous length scale, νa /u ∗ . Keulegan (1949) showed that above a “critical” value of this number instability waves appear on a two-fluid interface.
Air-sea interaction: laws and mechanisms by G T Csanady,NetLibrary, Inc.