Hydraulic flow through a contraction: multiple steady states

B. Akers, Onno Bokhove

    Research output: Book/ReportReportProfessional

    97 Downloads (Pure)

    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

    Cite this

    Akers, B., & Bokhove, O. (2007). Hydraulic flow through a contraction: multiple steady states. Enschede: University of Twente, Department of Applied Mathematics.
    Akers, B. ; Bokhove, Onno. / Hydraulic flow through a contraction: multiple steady states. Enschede : University of Twente, Department of Applied Mathematics, 2007. 8 p.
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    author = "B. Akers and Onno Bokhove",
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    Akers, B & Bokhove, O 2007, Hydraulic flow through a contraction: multiple steady states. University of Twente, Department of Applied Mathematics, Enschede.

    Hydraulic flow through a contraction: multiple steady states. / Akers, B.; Bokhove, Onno.

    Enschede : University of Twente, Department of Applied Mathematics, 2007. 8 p.

    Research output: Book/ReportReportProfessional

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    AU - Bokhove, Onno

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    N2 - 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.

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    KW - METIS-242054

    KW - EWI-9460

    M3 - Report

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    Akers B, Bokhove O. Hydraulic flow through a contraction: multiple steady states. Enschede: University of Twente, Department of Applied Mathematics, 2007. 8 p.