The roughness height and drag law over the water surface based on the hypothesis of local equilibrium |
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| Authors: | Tadao Kusaba Akira Masuda |
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| Institution: | (1) Research Institute for Applied Mechanics, Kyushu University, 816 Kasuga, Japan |
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| Abstract: | A series of measurements of winds and wind-waves were carried out in wind-wave flumes. A data analysis based on the hypothesis
of local equilibrium yielded a new empirical formula on the controversial quantity of roughness heightz
0 over the water surface:
, where the nondimensional roughness height
is defined bygz
0/u
*
2 and the wave-wind parameterũ byω
p
u
*/g, g being the gravitational acceleration,u
* the friction velocity of air,ω
p
the peak frequency of wind-wave spectra. The obtained formula is compared with Charnock's (1955) and Toba's (1979) proposals;
is constant in the former and inversely proportional toũ in the latter. As in Toba's, this formula immediately leads to a practically important conclusion that the drag coefficientC
d
depends not merely on the usual variableU
10 (wind velocity at 10m height over the water surface), but also on the surface state represented by wind-waves. An explicit
expression is provided for the drag coefficient incorporating the wave-wind parameter; it covers the range ofC
d
calculated from most of the previous drag formulas, by varying the wave-wind parameter. |
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| Keywords: | |
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