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Analytical solution of velocity distribution for flow through submerged large deflection flexible vegetation

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文摘 An analytical solution for predicting the vertical distribution of streamwise mean velocity in an open channel flow with submerged flexible vegetation is proposed when large bending occurs. The flow regime is separated into two horizontal layers: a vegetation layer and a free water layer. In the vegetation layer, a mechanical analysis for the flexible vegetation is conducted, and an approximately linear relationship between the drag force of bending vegetation and the streamwise mean flow velocity is observed in the case of large deflection, which differes significantly from the case of rigid upright vegetation. Based on the theoretical analysis, a linear streamwise drag force-mean flow velocity expression in the momentum equation is derived, and an analytical solution is obtained. For the free water layer, a new expression is presented, replacing the traditional logarithmic velocity distribution, to obtain a zero velocity gradient at the water surface. Finally, the analytical predictions are compared with published experimental data, and the good agreement demonstrates that this model is effective for the open channel flow through the large deflection flexible vegetation.
来源 Applied Mathematics and Mechanics ,2015,36(1):107-120 【核心库】
DOI 10.1007/s10483-015-1897-9
关键词 analytical velocity distribution ; linear drag force ; flexible vegetation ; large deflection ; mixing length theory
地址

1. Hydropower Engineering Science, Wuhan University, State Key Laboratory of Water Resources, Wuhan, 430072  

2. Institute of Mechanics, Chinese Academy of Sciences, Beijing, 100192

语种 英文
文献类型 研究性论文
ISSN 0253-4827
学科 水利工程
基金 国家教育部高等学校博士学科点专项科研基金 ;  the State Water Pollution Control and Management of Major Special Science and Technology ;  国家自然科学基金
文献收藏号 CSCD:5413787

参考文献 共 40 共2页

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引证文献 3

1 Zengt Yuhong Flow characteristics of rectangular open channels with compound vegetation roughness Applied Mathematics and Mechanics,2016,37(3):341-348
被引 0 次

2 陈甜甜 淹没树状植被水流速度分布规律研究 武汉大学学报. 工学版,2020,53(6):492-497,526
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