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A wave-interaction model for the generation of windrows

Published online by Cambridge University Press:  29 March 2006

Alex D. D. Craik
Alex D. D. Craik
Affiliation:
Department of Applied Mathematics, University of St Andrews, St Andrews, Fife, Scotland
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Abstract

Interactions of suitable pairs of gravity waves in a shear flow are found to give rise to aperiodic or weakly periodic secondary motions. These secondary flows resemble the ‘Langmuir vortices’ which are associated with the formation of windrows. It seems likely that such wave interactions will play a substantial part in determining the quasi-steady structure of the flow when wind blows over a water surface.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 41 , Issue 4 , 15 May 1970 , pp. 801 - 821
Copyright
© 1970 Cambridge University Press

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References

Benney, D. J. 1961 A non-linear theory for oscillations in a parallel flow. J. Fluid Mech. 10, 209.Google Scholar
Benney, D. J. 1964 Finite amplitude effects in an unstable laminar boundary layer. Phys. Fluids, 7, 319.Google Scholar
Craik, A. D. D. 1968 Resonant gravity-wave interactions in a shear flow. J. Fluid Mech. 34, 531.Google Scholar
Csanady, G. T. 1965 Windrow studies. Baie du Doré Rept. PR 26, pp. 61–82. University of Toronto.Google Scholar
Deardorff, J. W. 1965 Gravitational instability between horizontal plates with shear. Phys. Fluids, 8, 1027.Google Scholar
Dietz, R. S. & Lafond, E. C. 1950 Natural slicks on the ocean. J. Mar. Res. 9, 69.Google Scholar
Ewing, G. 1950 Slicks, surface films and internal waves. J. Mar. Res. 9, 161.Google Scholar
Faller, A. J. 1963 An experimental study of the instability of the laminar Ekman boundary layer. J. Fluid Mech. 15, 560.Google Scholar
Faller, A. J. 1964 The angle of windrows in the ocean. Tellus, 16, 363.Google Scholar
Faller, A. J. 1969 The generation of Langmuir circulations by the eddy pressure of surface waves. Limnology and Oceanography (To appear).Google Scholar
Faller, A. J. & Kaylor, R. 1967 Instability of the Ekman spiral with applications to the planetary boundary layers. Phys. Fluids Suppl. 10, S 212.Google Scholar
Faller, A. J. & Woodcock, A. H. 1964 The spacing of windrows of Sargassum in the ocean. J. Mar. Res. 22, 22.Google Scholar
Gallagher, A. D. & Mercer, A. M. 1965 On the behaviour of small disturbances in plane Couette flow with a temperature gradient. Proc. Roy. Soc. A 286, 117.Google Scholar
Ichiye, T. 1967 Upper ocean boundary-layer flow determined by dye diffusion. Phys. Fluids Suppl. 10, S 270.Google Scholar
Kinsman, B. 1965 Wind Waves. Englewood Cliffs, N.J.: Prentice Hall.
Kraus, E. B. 1967 Organized convection in the ocean surface layer resulting from slicks and wave radiation stress. Phys. Fluids Suppl. 10, S 294.Google Scholar
Krauss, W. 1966 Theorie des Triftstromes und der vertuellen Reibung im Meer. Deutsch. Hydrog. Z. 18, 193.Google Scholar
Langmuir, I. 1938 Surface motion of water induced by wind. Science, 87, 119.Google Scholar
McLeish, W. 1968 On the mechanisms of wind-slick generation. Deep Sea Res. 15, 461.Google Scholar
Owen, R. W. 1966 Small scale horizontal vortices in the surface of the sea. J. Mar. Res. 24, 56.Google Scholar
Stewart, R. & Schmitt, R. K. 1968 Wave interactions and Langmuir circulations. Proc. 11th Conf. Great Lakes Res.Google Scholar
Stommel, H. 1951 Streaks on natural water surfaces. Weather, 6, 72.Google Scholar
Welander, P. 1963 On the generation of wind streaks on the sea surface by action of surface film. Tellus, 15, 67.Google Scholar