Positive Surge Propagation in Sloping Channels

A simplified model for the upstream propagation of a positive surge in a sloping, rectangular channel is presented. The model is based on the assumptions of a flat water surface and negligible energy dissipation downstream of the surge, which is generated by the instantaneous closure of a downstream...

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Bibliographic Details
Published inWater (Basel) Vol. 9; no. 7; p. 518
Main Authors Viero, Daniele, Peruzzo, Paolo, Defina, Andrea
Format Journal Article
LanguageEnglish
Published MDPI AG 01.07.2017
Subjects
breaking and undular surge
environmental hydraulics
laboratory experiments
open-channel flow
physical modelling
shallow water modelling
Wave propagation
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Summary:A simplified model for the upstream propagation of a positive surge in a sloping, rectangular channel is presented. The model is based on the assumptions of a flat water surface and negligible energy dissipation downstream of the surge, which is generated by the instantaneous closure of a downstream gate. Under these hypotheses, a set of equations that depends only on time accurately describes the surge wave propagation. When the Froude number of the incoming flow is relatively small, an approximate analytical solution is also proposed. The predictive ability of the model is validated by comparing the model results with the results of an experimental investigation and with the results of a numerical model that solves the full shallow water equations.
ISSN:2073-4441
2073-4441
DOI:10.3390/w9070518