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    Filatov, S. V. Parfenyev, V. M. Vergeles, S. S. Brazhnikov, M. Yu. Levchenko, A. A. and Lebedev, V. V. 2016. Nonlinear Generation of Vorticity by Surface Waves. Physical Review Letters, Vol. 116, Issue. 5,


    Brand, E. and Gibson, J. F. 2014. A doubly localized equilibrium solution of plane Couette flow. Journal of Fluid Mechanics, Vol. 750,


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  • Journal of Fluid Mechanics, Volume 638
  • November 2009, pp. 1-4

Could waves mix the ocean?

  • G. FALKOVICH (a1)
  • DOI: http://dx.doi.org/10.1017/S0022112009991984
  • Published online: 20 October 2009
Abstract

A finite-amplitude propagating wave induces a drift in fluids. Understanding how drifts produced by many waves disperse pollutants has broad implications for geophysics and engineering. Previously, the effective diffusivity was calculated for a random set of small-amplitude surface and internal waves. Now, this is extended by Bühler & Holmes-Cerfon (J. Fluid Mech., 2009, this issue, vol. 638, pp. 5–26) to waves in a rotating shallow-water system in which the Coriolis force is accounted for, a necessary step towards oceanographic applications. It is shown that interactions of finite-amplitude waves affect particle velocity in subtle ways. An expression describing the particle diffusivity as a function of scale is derived, showing that the diffusivity can be substantially reduced by rotation.

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This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

A. M. Balk & R. M. McLaughlin 1999 Passive scalar in a random wave field: the weak turbulence approach. Phys. Lett. A 256 (4), 299306.

K. Herterich & K. Hasselmann 1982 The horizontal diffusion of tracers by surface waves. J. Phys. Oceanogr. 12, 704712.

J. Ledwell , A. Watson & C. Law 1993 Evidence for slow mixing across the pycnocline from an open-ocean tracer-release experiment. Nature 364, 701703.

K. Polzin & R. Ferrari 2004 Isopycnal dispersion in natre. J. Phys. Oceanogr. 34, 247257.

B. G. Sanderson & A. Okubo 1988 Diffusion by internal waves. J. Geophys. Res. 93, 35703582.

M. Vucelja , G. Falkovich & I. Fouxon 2007 Clustering of matter in waves and currents. Phys. Rev. E 75, 065301.

V. Zakharov , V. Lvov & G. Falkovich 1992 Kolmogorov Spectra of Turbulence. Springer.

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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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