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The effect of disturbances on the flows under a sluice gate and past an inclined plate

Published online by Cambridge University Press:  28 March 2007

B. J. BINDER
Affiliation:
School of Mathematical Sciences, University of Adelaide, Adelaide 5005, South Australia
J.-M. VANDEN-BROECK
Affiliation:
School of Mathematics, University of East Anglia, Norwich NR4 7TJ, UK

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.

Type
Papers
Copyright
Copyright © Cambridge University Press 2007

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