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

doi:10.1007/s10483-015-1943-6

Applied Mathematics and Mechanics (English Edition) ›› 2015, Vol. 36 ›› Issue (6): 707-718.doi: https://doi.org/10.1007/s10483-015-1943-6

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

Yuqi SHAN¹, Chao LIU^2,3, Maokang LUO¹

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

收稿日期:2014-05-14 修回日期:2014-10-15 出版日期:2015-06-01 发布日期:2015-06-01
通讯作者: Chao LIU E-mail:liuchaoscu@vip.qq.com
基金资助:
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)

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

Yuqi SHAN¹, Chao LIU^2,3, Maokang LUO¹

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

Received:2014-05-14 Revised:2014-10-15 Online:2015-06-01 Published:2015-06-01
Contact: Chao LIU E-mail:liuchaoscu@vip.qq.com
Supported by:
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)

摘要/Abstract

摘要： 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.

关键词: depth-averaged velocity, meandering compound channel, physical experiment, simple analytical model, lateral distribution method

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

中图分类号:

TV133.1

Yuqi SHAN, Chao LIU, Maokang LUO. Simple analytical model for depth-averaged velocity in meandering compound channels[J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(6): 707-718.

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

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

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