Theoretical analyses on bed topography responses in large depth-to-width ratio river bends with constant curvatures

doi:10.1007/s10483-018-2324-6

Applied Mathematics and Mechanics (English Edition) ›› 2018, Vol. 39 ›› Issue (5): 747-766.doi: https://doi.org/10.1007/s10483-018-2324-6

• 论文 • 上一篇

Theoretical analyses on bed topography responses in large depth-to-width ratio river bends with constant curvatures

Shuxian GAO^1,2, Haijue XU^1,3, Yuchuan BAI^1,3

1. Skate Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin 300072, China;
2. Tianjin Research Institute for Water Transport Engineering, Ministry of Transport, Tianjin 300456, China;
3. Institute for Sedimentation on River and Coastal Engineering, Tianjin University, Tianjin 300072, China

收稿日期:2017-07-01 修回日期:2017-11-05 出版日期:2018-05-01 发布日期:2018-05-01
通讯作者: Haijue XU,E-mail:xiaoxiaoxu 2004@163.com E-mail:xiaoxiaoxu 2004@163.com

Theoretical analyses on bed topography responses in large depth-to-width ratio river bends with constant curvatures

Shuxian GAO^1,2, Haijue XU^1,3, Yuchuan BAI^1,3

1. Skate Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin 300072, China;
2. Tianjin Research Institute for Water Transport Engineering, Ministry of Transport, Tianjin 300456, China;
3. Institute for Sedimentation on River and Coastal Engineering, Tianjin University, Tianjin 300072, China

Received:2017-07-01 Revised:2017-11-05 Online:2018-05-01 Published:2018-05-01
Contact: Haijue XU E-mail:xiaoxiaoxu 2004@163.com

摘要/Abstract

摘要：

Bed morphology is the result of a dynamic response to a complex meandering river system. It is an important factor for the further development of river. Based on the meandering river characterized by a large depth-to-width ratio, a theoretical model is established with the coupling of Navier-Stokes (N-S), sediment transport, and bed deformation equations. The flow characteristics and bed response of river are obtained with the perturbation method. The research results show that, under the effect of twodimensional flow disturbance, the bars and pools present the regular response. For a given sinuousness, the amplitude of the bed response can be used as a criterion to judge the bedform stability. The effects of the Reynolds number, disturbance wavenumber, sinuousness, and bed morphology gradient on the bed response development are described.

关键词: singular boundary value problems, nonlinear, positive solution, existence, bed response, meandering river, disturbance wave, large depth-to-width ratio channel

Abstract:

Key words: singular boundary value problems, nonlinear, positive solution, existence, bed response, meandering river, large depth-to-width ratio channel, disturbance wave

中图分类号:

76E20
34C60

Shuxian GAO, Haijue XU, Yuchuan BAI. Theoretical analyses on bed topography responses in large depth-to-width ratio river bends with constant curvatures[J]. Applied Mathematics and Mechanics (English Edition), 2018, 39(5): 747-766.

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Theoretical analyses on bed topography responses in large depth-to-width ratio river bends with constant curvatures

Theoretical analyses on bed topography responses in large depth-to-width ratio river bends with constant curvatures

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