Abstract
The dispersion of heavy suspensions in a wave boundary layer over a nonerodible bed is examined theoretically. Focusing attention on the horizontal variation of the ambient wave pattern, an effective convection-diffusion equation is derived by extending the theory of homogenization (multiple scales). For the model based on constant eddy diffusivities, the effective velocity of horizontal convection and shear-enhanced dispersion tensor are derived explicitly for very general wave patterns over a horizontal seabed. The convection velocity is found to be related to Eulerian streaming inside the boundary layer, weighted by the mean concentration profile. Particular examples are examined for the release of a finite cloud of suspension beneath gravity waves at various locations relative to the wave pattern.
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