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MASS-TRANSPORT IN WATER WAVES OF VERY SMALL AMPLITUDE

Author(s): J. F. A. Sleath

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Abstract: It is shown analytically that even for waves whose amplitude is small compared with boundary-layer thickness there are at least three possible solutions for the mass-transport velocity in the interior of the fluid. Masstransport velocity profiles were observed in a wave tank and were found to be similar to those given by one of these solutions but significantly different from LONGUIT-HIGGINS' "conduction" solution even for waves of very small amplitude. It was also observed that when the wave amplitude dropped below a certain value the mass-transport velocity in the boundary layer at the bed ceased to be in the direction of wave propagation.

DOI: https://doi.org/10.1080/00221687309499769

Year: 1973

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