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

作　　者：Haijue XU Yuchuan BAI 

机构地区：[1]State Key Laboratory of Hydraulic Engineering Simulation and Safety,Tianjin University [2]Institute for Sedimentation on River and Coastal Engineering,Tianjin University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2015年第9期1147-1168,共22页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Nos.51279124 and 50979066);the Science Fund for Creative Research Groups of the National Natural Science Foundation of China(No.51021004)

摘　　要：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 and the variations of some parameters such wave frequency are also discussed. model as the meandering river, are studied, as the curvature, the wave number, and theBending 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 and the variations of some parameters such wave frequency are also discussed. model as the meandering river, are studied, as the curvature, the wave number, and the

关 键 词：bending river hydrodynamic stability self-adaptability nonlinear riverdynamics 

分 类 号：TV147[水利工程—水力学及河流动力学]