### Abstract

Original language | Undefined |
---|---|

Place of Publication | Enschede |

Publisher | University of Twente, Department of Applied Mathematics |

Number of pages | 8 |

Publication status | Published - Feb 2007 |

### Publication series

Name | |
---|---|

Publisher | Department 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

*Hydraulic flow through a contraction: multiple steady states*. Enschede: University of Twente, Department of Applied Mathematics.

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*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.

Research output: Book/Report › Report › Professional

TY - BOOK

T1 - Hydraulic flow through a contraction: multiple steady states

AU - Akers, B.

AU - Bokhove, Onno

PY - 2007/2

Y1 - 2007/2

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.

AB - 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.

KW - IR-66989

KW - METIS-242054

KW - EWI-9460

M3 - Report

BT - Hydraulic flow through a contraction: multiple steady states

PB - University of Twente, Department of Applied Mathematics

CY - Enschede

ER -