Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2010-11-03
Physics
Condensed Matter
Soft Condensed Matter
16 pages, 8 figures, accepted for publication in J. Fluid Mech
Scientific paper
We show that in a turbulent flow transporting suspended sediment, the unsaturated sediment flux $q(x,t)$ can be described by a first-order relaxation equation. From a mode analysis of the advection-diffusion equation for the particle concentration, the relaxation length and time scales of the dominant mode are shown to be the deposition length $H U/V_{\rm fall}$ and deposition time $H/V_{\rm fall}$, where $H$ is the flow depth, $U$ the mean flow velocity and $V_{\rm fall}$ the sediment settling velocity. This result is expected to be particularly relevant for the case of sediment transport in slowly varying flows, where the flux is never far from saturation. Predictions are shown to be in quantitative agreement with flume experiments, for both net erosion and net deposition situations.
Andreotti Bruno
Charru F.
Claudin Philippe
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