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A morphological model for the development of local-scour holes behind structures is developed, based on the 2-D Navier Stokes and convection-diffusion equations. The bed-load (transport) and the concentration at a reference level close to the bed are prescribed using a stochastical approach for the instantaneous bed shear-stress. The standard deviation of the latter is closely related to the turbulence energy in the mixing layer and to the bed turbulence. The computed developments of local-scour holes in scale models and in prototype are compared to measured developments. Reasonable results regarding flow velocities, sediment concentrations and bed configurations as function of time are obtained, promising reliable predictions for local-scour holes in practice.
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Hoffmans et al. (1993) studied this question.
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