Theoretical analyses on hydrodynamic instability in narrow deep river with variable curvature

doi:10.1007/s10483-015-1971-6

Applied Mathematics and Mechanics (English Edition) ›› 2015, Vol. 36 ›› Issue (9): 1147-1168.doi: https://doi.org/10.1007/s10483-015-1971-6

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Theoretical analyses on hydrodynamic instability in narrow deep river with variable curvature

Haijue XU^1,2, Yuchuan BAI^1,2

1. State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin 300072, China;
2. Institute for Sedimentation on River and Coastal Engineering, Tianjin University, Tianjin 300072, China

Received:2014-05-30 Revised:2015-01-28 Online:2015-09-01 Published:2015-09-01
Contact: Yuchuan BAI E-mail:ychbai@tju.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Nos. 51279124 and 50979066) and the Science Fund for Creative Research Groups of the National Natural Science Foun- dation of China (No. 51021004)

Abstract

Abstract: Bending river is the most common river type in nature, and it is also a typical example for river evolution. The transform of the flow pattern can affect the development of the riverbed form. In return, the variation in the riverbed form can affect the hydrodynamic characteristics of the flow, thereby leading to the continuous evolution of the bending river. Based on this, a theoretical model for the bending river is established. The hydrodynamic instability characteristics of the laminar flow in the channel with a variable curvature, a typical model as the meandering river, are studied, and the variations of some parameters such as the curvature, the wave number, and the wave frequency are also discussed.

Key words: nonlinear river dynamics, self-adaptability, bending river, hydrodynamic stability

2010 MSC Number:

O158

Haijue XU, Yuchuan BAI. Theoretical analyses on hydrodynamic instability in narrow deep river with variable curvature. Applied Mathematics and Mechanics (English Edition), 2015, 36(9): 1147-1168.

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Theoretical analyses on hydrodynamic instability in narrow deep river with variable curvature

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