| Nonlinear sand bedform dynamics in a viscous flow. | |
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MedLine Citation:
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PMID: 21517584 Owner: NLM Status: In-Data-Review |
Abstract/OtherAbstract:
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We investigate theoretically the nonlinear evolution of a sand bedform sheared by a laminar viscous flow. On the basis of the hydrodynamic equations coupled with a sediment transport law, we derive a closed nonlinear and nonlocal equation for the spatiotemporal evolution of the bedform profile in the case of an unbounded flow. The numerical resolution of this equation shows that the bedform coarsens indefinitely in the course of time. During the coarsening process, the wavelength scales as the cube of the vertical extension w as a result of the nonlinear interactions. Interestingly, in the case of a bounded flow, we argue that coarsening is interrupted when the flow perturbation induced by the bedform extends over the whole flow depth h, and we predict that the final wavelength λ_{f} and vertical extension w_{f} should scale respectively as (γ/ν)h^{3} and h (where ν is the fluid viscosity and γ the flow shear rate). |
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Authors:
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Alexandre Valance |
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Publication Detail:
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Type: Journal Article Date: 2011-03-10 |
Journal Detail:
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Title: Physical review. E, Statistical, nonlinear, and soft matter physics Volume: 83 ISSN: 1550-2376 ISO Abbreviation: Phys Rev E Stat Nonlin Soft Matter Phys Publication Date: 2011 Mar |
Date Detail:
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Created Date: 2011-04-26 Completed Date: - Revised Date: - |
Medline Journal Info:
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Nlm Unique ID: 101136452 Medline TA: Phys Rev E Stat Nonlin Soft Matter Phys Country: United States |
Other Details:
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Languages: eng Pagination: 036304 Citation Subset: IM |
Affiliation:
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Institut de Physique de Rennes, UR1-CNRS UMR 6251, Université de Rennes 1, F-35042 cedex Rennes, France. |
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