The theory of mass transport in water waves is re-examined. Boundary-layer arguments are incorporated into the Lagrangian equations of motion, and the mass transport velocity is conveniently derived for both monochromatic and random waves. For finite depth, Longuet-Higgins' result is confirmed. Conditions at the far end of a wave tank are found to be related to a mean pressure gradient, and results are also obtained for a truly infinite channel. The nonuniformity of the solution for the deep-water limit is discussed.
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Ünlüata et al. (1970) studied this question.
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