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Wave-induced vorticity in free-surface boundary layers: application to mass transport in edge waves

Published online by Cambridge University Press:  29 March 2006

B. D. Dore
B. D. Dore
Affiliation:
Department of Mathematics, University of Reading, Berkshire, England
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Abstract

The time-averaged vorticity field within the free-surface boundary layer associated with a general class of propagating gravity waves is considered. The principal results are applied in a calculation of the mass transport velocity field for edge waves.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 70 , Issue 2 , 29 July 1975 , pp. 257 - 266
Copyright
© 1975 Cambridge University Press

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References

Bowen, A. J. & Inman, D. L. 1971 Edge waves and crescentic bars. J. Geophys. Res. 76, 8662–8671.Google Scholar
Dore, B. D. 1974 The mass transport velocity due to interacting wave trains. Meccanica, 9, 172–178.Google Scholar
Hunt, J. N. & Johns, B. 1963 Currents induced by tides and gravity waves. Tellus, 15, 343–351.Google Scholar
Keller, J. B. 1958 Surface waves on water of non-uniform depth. J. Fluid Mech. 4, 607–614.Google Scholar
Kenyon, K. E. 1969 Note on Stokes' drift velocity for edge waves. J. Geophys. Res. 74, 5533–5535.Google Scholar
Longuet-Higgins, M. S. 1953 Mass transport in water waves. Phil. Trans. A 245, 535–581.Google Scholar
Longuet-Higgins, M. S. 1960 Mass transport in the boundary layer at a free oscillating surface. J. Fluid Mech. 8, 293–306.Google Scholar
Longuet-Higgins, M. S. 1969 A nonlinear mechanism for the generation of sea waves. Proc. Roy. Soc. A 311, 371–389.Google Scholar
Phillips, O. M. 1966 The Dynamics of the Upper Ocean. Cambridge University Press.
Stokes, G. G. 1847 On the theory of oscillatory waves. Trans. Camb. Phil. Soc. 8, 441–455.Google Scholar
Stuart, J. T. 1966 Double boundary layers in oscillatory viscous flow. J. Fluid Mech. 24, 673–687.Google Scholar
Ursell, F. 1952 Edge waves on a sloping beach. Proc. Roy. Soc. A 214, 79–97.Google Scholar