Hydraulic flow through a contraction: multiple steady states

B. Akers, Onno Bokhove

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    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.
    Original languageUndefined
    Place of PublicationEnschede
    PublisherUniversity of Twente, Department of Applied Mathematics
    Number of pages8
    Publication statusPublished - Feb 2007

    Publication series

    Name
    PublisherDepartment of Applied Mathematics, University of Twente
    No.2/1825
    ISSN (Print)1874-4850
    ISSN (Electronic)1874-4850

    Keywords

    • IR-66989
    • METIS-242054
    • EWI-9460

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