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Type: Journal article
Title: The effect of disturbances on the flows under a sluice gate and past an inclined plate
Author: Binder, B.
Vanden-Broeck, J.
Citation: Journal of Fluid Mechanics, 2007; 576:475-490
Publisher: Cambridge Univ Press
Issue Date: 2007
ISSN: 0022-1120
Statement of
B. J. Binder and J.-M. Vanden-Broeck
Abstract: Free surface potential flows past disturbances in a channel are considered. Three different types of disturbance are studied: (i) a submerged obstacle on the bottom of a channel; (ii) a pressure distribution on the free surface; and (iii) an obstruction in the free surface (e.g. a sluice gate or a flat plate). Surface tension is neglected, but gravity is included in the dynamic boundary condition. Fully nonlinear solutions are computed by boundary integral equation methods. In addition, weakly nonlinear solutions are derived. New solutions are found when several disturbances are present simultaneously. They are discovered through the weakly nonlinear analysis and confirmed by numerical computations for the fully nonlinear problem.
Provenance: Published online by Cambridge University Press 28 Mar 2007
Rights: Copyright © 2007 Cambridge University Press
DOI: 10.1017/S0022112007004806
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Appears in Collections:Applied Mathematics publications
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