Abstract
The aerodynamic classification of the resistance laws above solid surfaces is based on the use of a so-called Reynolds roughness number ReΘ s =h s u */υ, whereh s is the effective roughness height, ν-viscosity,u *-friction velocity. The recent experimental studies reported by Toba and Ebuchi (1991), demonstrated that the observed “variability” of the sea roughness cannot be explained only on the basis of the classification of aerodynamic conditions of the sea surface proposed by Kitaigorodskii and Volkov (1965) and Kitaigorodskii (1968) even though the latter approach gains some support from recent experimental studies (see for example Geernaertet al. 1986). In this paper, an attempt is made to explain some of the recently observed features of the “variability” of surface roughness (Toba and Ebuchi, 1991; Donelanet al., 1993). The “fluctuating” regime of the sea surface roughness is also described. It is shown that the contribution from the dissipation subrange to the variability of the sea surface can be very important and by itself can explain Charnock's (1955) regime.
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References
Charnock, H.: 1955, ‘Wind-Stress on a Water Surface’,Quart. J. Roy. Meteorol. Soc. 81, 639–640.
Donelan, M. A.: 1990, ‘Air-Sea Interaction’, In: B. LeMehaute and D. Hanes (eds.),The Sea: Ocean Engineering Science, Vol. 9, J. Wiley and Sons, Inc, New York, pp. 239–292.
Donelan, M. A., Dobson, F. W., Smith, S. D., and Anderson, R. J.: 1993, ‘On the Dependence of Sea Surface Roughness on wave Development’,J. Phys. Oceanogr. 23, 2143–2149.
Geernaert, G. L., Katsaros, K. B., and Richter, K.: 1986, ‘Variation of the Drag Coefficient and its Dependence on Sea State’,J. Geophys. Res. 92, 13127–13139.
Glazman, R. E. and Weichman, P. E.: 1989, ‘Statistical Geometry of Small Scale Patch in a Developed Sea’,J. Geophys. Res. 94, 4998–5010.
Hansen, C., Katsaros, K. B., Kitaigorodskii, S. A., and Larsen, S. E.: 1990, ‘The Dissipation Range of Wind Wave Spectra Observed on a Lake’J. Phys. Oceanogr. 20 1264–1277.
Kitaigorodskii, S. A. and Volkov, Yu. A.: 1965, ‘On the Roughness Parameter of the Sea Surface and the Calculation of Momentum Flux in the near Water Layer of the Atmosphere’Izvestiya, Acad. Sci., USSR, Atmos. Oceanic Phys. 1(9), 973–988.
Kitaigorodskii, S. A.: 1968, ‘On the Calculation of the Aerodynamic Roughness of the Sea Surface’,Izvestiya, Acad. Sci., USSR, Atmos. Oceanic Phys. 4(5).
Kitaigorodskii, S. A.: 1970,The Physics of Air-Sea Interaction, Hydrometeorological Press, Leningrad, 284 pp.; English translation, 1973, 237 pp., available as TT 72-50062 from U.S. National Technical Information Service, Springfield, VA 22151, USA.
Kitaigorodskii, S. A.: 1983, ‘On the Theory of the Equilibrium Range in the Spectrum of Wind-Generated Gravity Waves’,J. Phys. Oceanogr. 13, 816–827.
Kitaigorodskii, S. A.: 1991, ‘The Dissipation Subrange of Wind Wave Spectra’, in M. L. Banner, R. H. J. Grimshow (eds.),Breaking Waves IUTAM Symposium, Sydnay, Australia, July 15–19, 1991, Springer-Verlag, Berlin, Heidelberg, pp. 199–204.
Kitaigorodskii, S. A.: 1992, ‘The Dissipation Subrange in Wind Wave Spectra’Matematic-Fysiske Meddelelser, Det Kongelige Danske Videnskabernes Selskab, Munksgaard, Copenhagen,42(5), 3–24.
Jones I. S. F. and Toba, Y.: 1991, ‘The Reconciliation of Two Drag Expressions Dependent on Waves’ inSea-Surface Roughness Length Fluctuating in Concert with Wind and Waves, Report by Y. Toba, March 1991. Faculty of Science, Tohoku University, Sendai, Japan.
Panin, G. N. and Krivitskii, S. B.: 1992,Aerodynamic Rougness of the Water Surface. Moscow, Nauka, 135 p.
Toba, Y., Iida, N., Kawamura, H., Ebuchi, N. and Jones, I. S. F.: 1990, ‘Wave Dependence of Sea-Surface Wind Stress’,J. Phys. Oceanogr. 20, 705–721.
Toba, Y. and Ebuchi, N.: 1991, ‘Sea-Surface Roughness Length Fluctuating in Concert With Wind and Waves’,J. Oceanogr. Soc. Japan,47 (3), 63–79.
Volkov, Yu. A., Grachev, A. A. and Matveev, D. T.: 1992 ‘Transition from Aerodynamically Smooth to Rough Flow over the Sea Surface’,Izvestiya, Russian Acad. Sci., Atmos. Oceanic Phys. 28(7), 580–583 (English Edition).
Zakharov, V. E. and Zaslavskii, M. M.: 1982, ‘The Kinetic Equation and Kolmogorov Spectra in the Weak Turbulence Theory of Wind Waves’,Izvestiya, Acad. Sci., USSR, Atmos. Oceanic Phys.,18, 795–753.
Zakharov, V. E.: 1992, ‘Inverse and Direct Cascade in the Wind Driven Surface Wave Turbulence and Wave-Breaking’, M. L. Banner and R. H. J. Grimshow (eds.),Breaking Waves IUTAM Symposium, Sydney, Australia, July 15–19, 1991 Springer-Verlag, Berlin, Heidelberg, pp. 70–91.
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Kitaigorodskii, S.A., Volkov, Y.A. & Grachev, A.A. A note on the analogy between momentum transfer across a rough solid surface and the air-sea interface. Boundary-Layer Meteorol 76, 181–197 (1995). https://doi.org/10.1007/BF00710896
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DOI: https://doi.org/10.1007/BF00710896