New Approach for Predicting Flow Bifurcation at Right-Angled Open-Channel Junction
Publication: Journal of Hydraulic Engineering
Volume 136, Issue 9
Abstract
An unsteady mathematical model for predicting flow divisions at a right-angled open-channel junction is presented. Existing dividing models depend on a prior knowledge of a constant flow regime. In addition, their strong nonlinearity does not guarantee compatibility with the St. Venant solutions in the context of an internal boundary condition treatment. Assuming zero crest height at the junction region, a side weir model explicitly introduced within the one-dimensional St. Venant equations is used to cope with the two-dimensional pattern of the flow. An upwind implicit numerical solver is employed to compute the new governing equations. The performance of the proposed technique in predicting super-, trans-, and subcritical flow bifurcations is illustrated by comparing with experimental data and/or theoretical predictions. In all the tests, lateral-to-upstream discharge ratios are successfully reproduced by the present technique with a maximum error magnitude of less than 9%.
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© 2010 ASCE.
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Received: Jul 20, 2008
Accepted: Mar 10, 2010
Published online: Mar 12, 2010
Published in print: Sep 2010
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