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contributor authorMokrane Amirouche
contributor authorAli Berreksi
contributor authorLarbi Houichi
contributor authorLyes Amara
date accessioned2024-12-24T10:31:15Z
date available2024-12-24T10:31:15Z
date copyright10/1/2024 12:00:00 AM
date issued2024
identifier otherJIDEDH.IRENG-10136.pdf
identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4299073
description abstractIn order to study the supercritical flow in a curved channel of a rectangular cross section, the classical shallow water equations in a cylindrical coordinate system based on the mass and momentum laws that take into account the friction and bottom slope are used. The obtained mathematical model forms nonlinear partial differential equations of first-order. For simplification, a linearization of the partial differential equations (PDEs) set is performed using small perturbation approach valid for weak bends (axial curvature radius extremely larger than the channel width). The governing equations with well-posed initial and boundary conditions were solved for a rectangular bend channel flow by applying the method of characteristics that is capable of transforming the hyperbolic partial differential equations to a system of ordinary differential equations (ODEs). The proposed model is tested and validated by comparing the results with broad available experimental data reported in the literature, and particular attention was paid to the wave maximum and its location. Comparisons indicate a reasonable agreement between the results obtained for the maximum flow depth along the outer channel wall. However, the model prediction is only reliable for a small relative curvature. Despite the model limitations, the results show the reliability and accuracy of the proposed approach for practical design purposes.
publisherAmerican Society of Civil Engineers
titleComputation of 2D Supercritical Free-Surface Flow in Rectangular Weak Channel Bends
typeJournal Article
journal volume150
journal issue5
journal titleJournal of Irrigation and Drainage Engineering
identifier doi10.1061/JIDEDH.IRENG-10136
journal fristpage04024016-1
journal lastpage04024016-10
page10
treeJournal of Irrigation and Drainage Engineering:;2024:;Volume ( 150 ):;issue: 005
contenttypeFulltext


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