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

[img]
Preview
PDF (Accepted manuscript) - Submitted Version
Download (683kB) | Preview

    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 09:30
    Last Modified: 09 Apr 2019 13:50
    URI: https://ueaeprints.uea.ac.uk/id/eprint/68607
    DOI: 10.1103/PhysRevFluids.3.114804

    Actions (login required)

    View Item