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

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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.

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Author information

Authors and Affiliations

  1. College of Mathematics, Sichuan University, Chengdu, 610065, China

    Yuqi Shan & Maokang Luo

  2. State Key Laboratory of Hydraulics and Mountain River Engineering, Sichuan University, Chengdu, 610065, China

    Chao Liu

  3. College of Water Resource and Hydropower, Sichuan University, Chengdu, 610065, China

    Chao Liu

Authors
  1. Yuqi Shan
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  2. Chao Liu
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  3. Maokang Luo
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Corresponding author

Correspondence to Chao Liu.

Additional information

Project supported by the National Natural Science Foundation of China (Nos. 11171238, 51279117, and 11072161), the Program for New Century Excellent Talents in University of China (No.NCET-13-0393), and the National Science and Technology Ministry of China (No. 2012BAB05B02)

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Shan, Y., Liu, C. & Luo, M. Simple analytical model for depth-averaged velocity in meandering compound channels. Appl. Math. Mech.-Engl. Ed. 36, 707–718 (2015). https://doi.org/10.1007/s10483-015-1943-6

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  • DOI: https://doi.org/10.1007/s10483-015-1943-6

Key words

Chinese Library Classification

2010 Mathematics Subject Classification

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