Steady two dimensional free-surface flow over semi-infinite and finite-length corrugations in an open channel

Keeler, Jack S., Binder, Benjamin J. and Blyth, Mark G. (2018) Steady two dimensional free-surface flow over semi-infinite and finite-length corrugations in an open channel. Physical Review Fluids, 3 (11). ISSN 2469-990X

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Abstract

Free-surface flow past a semi-infinite or a finite length corrugation in an otherwise flat and horizontal open channel is considered. Numerical solutions for the steady flow problem are computed using both a weakly nonlinear and fully nonlinear model. The new solutions are classified in terms of a depth-based Froude number and the four classical flow types (supercritical, subcritical, generalised hydraulic rise and hydraulic rise) for flow over a small bump. While there is no hydraulic fall solution for semi-infinite topography, we provide strong numerical evidence that such a solution does exist in the case of a finite length corrugation. Numerical solutions are also found for the other flow types for either semi-infinite or finite length corrugation. For subcritical flow over a semi-infinite corrugation, the free-surface profile is found to be quasiperiodic in nature. A discussion of the new results is made with reference to the classical problem of flow over a bump.

Item Type: Article
Faculty \ School: Faculty of Science > School of Mathematics
Depositing User: LivePure Connector
Date Deposited: 24 Oct 2018 08:30
Last Modified: 20 Aug 2020 00:16
URI: https://ueaeprints.uea.ac.uk/id/eprint/68607
DOI: 10.1103/PhysRevFluids.3.114804

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