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Applied Mathematics and Mechanics

, Volume 36, Issue 6, pp 707–718 | Cite as

Simple analytical model for depth-averaged velocity in meandering compound channels

  • Yuqi Shan
  • Chao LiuEmail author
  • Maokang Luo
Article

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.

Key words

meandering compound channel simple analytical model lateral distribution method physical experiment depth-averaged velocity 

Chinese Library Classification

TV133.1 

2010 Mathematics Subject Classification

76F99 

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Copyright information

© Shanghai University and Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.College of MathematicsSichuan UniversityChengduChina
  2. 2.State Key Laboratory of Hydraulics and Mountain River EngineeringSichuan UniversityChengduChina
  3. 3.College of Water Resource and HydropowerSichuan UniversityChengduChina

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