Abstract
A perturbation analysis is presented for steady monochromatic waves propagating without change of form in water of constant depth. The analysis allows for the development of a fully diffused vorticity profile, and thereby incorporates the influence of the viscous boundary layers. At a third order of wave steepness it is found that the proposed solution differs significantly from the existing irrotational theories. A new series of experimental measurements using laser Doppler anemometry are presented. It was found that an irrotational solution overestimates the amplitude of the oscillatory motion in the upper half of the flow field, and underestimates the amplitude in the lower half. In each case the present viscous solution provides a better description of the wave kinematics, compared with the traditional irrotational solution.
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Swan, C. (1990). A Viscous Modification to the Oscillatory Motion Beneath a Series of Progressive Gravity Waves. In: Tørum, A., Gudmestad, O.T. (eds) Water Wave Kinematics. NATO ASI Series, vol 178. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0531-3_19
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DOI: https://doi.org/10.1007/978-94-009-0531-3_19
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