Abstract

A new expression for skewed and asymmetric free stream velocities (near-bed wave orbital velocities at the edge of the wave boundary layer) is established in this paper. A comparison of the new expression with others is examined, and the new expression is found to be more satisfactorily fitted to wave orbital velocities with comparatively strong skewness and weak asymmetry than those presented by Abreu et al. (2010) and Malarkey and Davies (2012). Methods for determining the parameters in the new expression based on the Ursell number Ur are presented, and consequently, two empirical formulae are recommended for estimating bedload and suspended load sand transport rates related to wave skewness, respectively. Reasonability of the new expression for irregular waves is discussed by comparing the predicted time averaged quantities to those calculated by measured data, and good agreement is found.

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