Evolution of a model dune in a shear flow

We present a simplified model for the displacement of a model dune in a constant viscous shear flow over a non-erodible soil. A simplified linear law with a threshold effect (in shear stress) and saturation is used to link the flux of sediments to the shear stress. The asymptotic framework of “Doubl...

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Veröffentlicht in:European journal of mechanics, B, Fluids B, Fluids, 2006-05, Vol.25 (3), p.348-359
Hauptverfasser: Kouakou, Kouamé Kan Jacques, Lagrée, Pierre-Yves
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creator Kouakou, Kouamé Kan Jacques
Lagrée, Pierre-Yves
description We present a simplified model for the displacement of a model dune in a constant viscous shear flow over a non-erodible soil. A simplified linear law with a threshold effect (in shear stress) and saturation is used to link the flux of sediments to the shear stress. The asymptotic framework of “Double Deck” (large Reynolds number laminar flow theory) is used for the flow. This method allows the computation of boundary layer separation, and the flow may be further simplified with an analytical relation linking the dune shape to the skin friction. For a given shape, the asymptotic solutions give a good agreement with Navier Stokes computations. Examples of displacement of model dunes are presented. We then obtain a selfsimilar coupled problem, predicting that the velocity of the dune is proportional to m − 1 / 4 . Computations indicate that there is no dune if the mass of the dune is too small, or if the saturation length is too large, or if the threshold is too small.
doi_str_mv 10.1016/j.euromechflu.2005.09.002
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subjects Boundary layer
Earth sciences
Earth, ocean, space
Erosion sedimentation
Exact sciences and technology
Fluid mechanics
Marine and continental quaternary
Mechanics
Physics
Surficial geology
Thermics
title Evolution of a model dune in a shear flow
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