Document Type

Article

Publication Date

5-2008

Abstract

We have investigated 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 b0 ending in a linear contraction of minimum width bc. 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 complex hydraulic jump in the contraction occurring in a small section of the bc∕b0 and Froude number parameter plane. One-dimensional hydraulic theory provides a comprehensive leading-order approximation, in which a turbulent frictional parametrization is used to achieve quantitative agreement. An analytical and numerical analysis is given for two-dimensional supercritical shallow water flows. It shows that the one-dimensional hydraulic analysis for inviscid flows away from hydraulic jumps holds surprisingly well, even though the two-dimensional oblique hydraulic jump patterns can show large variations across the contraction channel

Comments

© 2008 American Institute of Physics.
This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in volume __ of Physics of Fluids as cited below, and may be found at https://doi.org/10.1063/1.2909659

A 12-month embargo was observed for this posting, in accordance with AIP policies.

DOI

https://doi.org/10.1063/1.2909659

Source Publication

Physics of Fluids

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