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Simple analytical model for depth-averaged velocity in meandering compound channels
Authors:Yuqi Shan  Chao Liu  Maokang Luo
Institution:1. College of Mathematics, Sichuan University, Chengdu 610065, China; 2. State Key Laboratory of Hydraulics and Mountain River Engineering, Sichuan University, Chengdu 610065, China; 3. College of Water Resource and Hydropower, Sichuan University, Chengdu 610065, China
Abstract:A simple but applicable analytical model is presented to predict the lateral distribution of the depth-averaged velocity in meandering compound channels. The governing equation with curvilinear coordinates is derived from the momentum equation and the flow continuity equation under the condition of quasi-uniform flow. A series of experiments are conducted in a large-scale meandering compound channel. Based on the experimental data, a magnitude analysis is carried out for the governing equation, and two lower-order shear stress terms are ignored. Four groups of experimental data from different sources are used to verify the predictive capability of this model, and good predictions are obtained. Finally, the determination of the velocity parameter and the limitation of this model are discussed.
Keywords:depth-averaged velocity  simple analytical model  meandering compound channel  physical experiment  lateral distribution method  
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