Abstract
In the problem of admixture diffusion on the sea surface in the presence of wind waves, it has been indicated that the flow potential character is disturbed when viscosity in the wind-wave velocity field is taken into account. Modeling indicates that this allows a liquid particle to pass from one wave into another wave, as a result of which diffusion is maintained on the water surface. A distance between adjacent liquid particles increases in time, which is also evidence of diffusion. Observational data coincide with calculations if viscosity about turbulent, i.e., several cm2 s−1, is introduced. The study was performed because liquid particles do not go beyond a wave (i.e., diffusion is formally impossible) in the classical potential theory of sea waves.
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References
A. Okubo, “Oceanic diffusion diagrams,” Deep-Sea Res. 18(8), 789–802 (1971).
G. S. Golitsyn, “Coefficient of horizontal eddy diffusion of a tracer on the water surface as a function of the wave age,” Izv., Atmos. Ocean. Phys. 47(3), 393–398 (2011).
E. Gagnaire-Renou, M. Benoit, and S. I. Badulin, “On weakly turbulent scaling of wind sea in simulations of fetch-limited growth,” J. Fluid Mech. 669, 178–213 (2011).
L. F. Richardson and H. Stommel, “Note on eddy diffusion in the sea,” J. Meteorol. 5(5), 238–240 (1948).
H. Stommel, “Horizontal diffusion due to oceanic turbulence,” J. Mar. Res. 3(3), 199–225 (1949).
N. E. Kochin, I. A. Kibel’ and N. V. Roze, Theoretical Hydromechanics (GITTL, Moscow, 1955), Vol. 1, Chap. 8, pp. 401–551 [in Russian].
A. Anis and J. Moum, “Surface wave turbulence interactions: scaling ɛ(z) near the sea surface,” J. Phys. Oceanogr. 25, 2025–2045 (1995).
H. Lamb, Hydrodynamics (Dover, New York, 1945; GITTL, Moscow, 1947), pp. 787–791.
O. M. Phillips, The Dynamics of the Upper Ocean (Cambridge Univ. Press, New York, 1966).
K. Hertech and K. Hesselmann, “The horizontal diffusion of tracers by surface waves,” J. Phys. Oceanogr. 12(7), 704–711 (1982).
G. S. Golitsyn, “The energy cycle of wind waves on the sea surface,” Izv., Atmos. Ocean. Phys. 46(1), 6–13 (2010).
A. S. Monin and A. M. Yaglom, Statistical Hydromechanics (Fizmatlit, Moscow, 1967), Vol. 2, pp. 74–102 [in Russian].
G. S. Golitsyn, Statistics and Dynamics of Natural Processes and Phenomena (KRASAND, Moscow, 2012) [in Russian].
J. Wu, “Wind-induced drift currents,” J. Fluid Mech. 68(1), 49–70 (1975).
R. V. Ozmidov, Diffusion of Contaminants in the Ocean (Gidrometeoizdat, Leningrad, 1986) [in Russian].
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Original Russian Text © G.S. Golitsyn, O.G. Chkhetiani, 2014, published in Izvestiya AN. Fizika Atmosfery i Okeana, 2014, Vol. 50, No. 6, pp. 623–629.
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Golitsyn, G.S., Chkhetiani, O.G. Effect of viscosity on admixture horizontal diffusion in the wind-wave field. Izv. Atmos. Ocean. Phys. 50, 547–553 (2014). https://doi.org/10.1134/S0001433814060085
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DOI: https://doi.org/10.1134/S0001433814060085