Bokhove, O and Akers, B (2008) Hydraulic flow through a channel contraction: multiple steady states. Physics of Fluids, 20. 056601. 056601-1 - 056601-15 (15). ISSN 1089-7666
Abstract
We consider shallow water flows through a channel with a contraction by experimental and theoretical means. The horizontal channel consists of a sluice gate and an upstream channel of constant width $b_0$ ending in a linear contraction of minimum width $b_c$. Experimentally, we observe upstream steady and moving bores/shocks, and oblique waves in the contraction, as single and multiple steady states, as well as a steady reservoir with a two-dimensional hydraulic jump in the contraction occurring in a small section of the $b_c/b_0$ and Froude number parameter plane. Inviscid one-dimensional hydraulic theory provides a comprehensive leading-order explanation, but quadratic friction is required to achieve quantitative agreement and stability.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | (c) 2008, American Institute of Physics. This is an author produced version of a paper published in Physics of Fluids. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Mathematical hydraulic analysis, discontinuous Galerkin finite element simulations, laboratory wave tank experiments, two-dimensional exact hydraulic solutions, validation |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 13 Feb 2015 12:26 |
Last Modified: | 17 Jan 2018 01:26 |
Published Version: | http://dx.doi.org/10.1063/1.2909659 |
Status: | Published |
Publisher: | American Institute of Physics |
Identification Number: | 10.1063/1.2909659 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:83375 |