Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (3): 343-351.doi: https://doi.org/10.1007/s10483-009-0308-1

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Velocity distribution of flow with submerged flexible vegetations based on mixing-length approach

Wen-xin HUAI , Jie HAN, Yu-hong ZENG, Xiang AN, Zhong-dong QIAN   

  1. State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, P. R. China
  • Received:2008-09-03 Revised:2009-02-15 Online:2009-03-05 Published:2009-03-01
  • Contact: Wen-xin HUAI, Professor, E-mail:wxhuai@whu.edu.cn E-mail:wxhuai@whu.edu.cn

Abstract: By choosing a PVC slice to simulate flexible vegetation, we carried out experiments in an open channel with submerged flexible vegetation. A 3D acoustic Doppler velocimeter (micro ADV) was used to measure local flow velocities and Reynolds stress. The results show that hydraulic characteristics in non-vegetation and vegetation layers are totally different. In a region above the vegetation, Reynolds stress distribution is linear,
and the measured velocity profile is a classical logarithmic one. Based on the concept of new-riverbed, the river compression parameter representing the impact of vegetation on river is given, and a new assumption of mixing length expression is made. The formula for time-averaged velocity derived from the expression requires less parameters and simple calculation, and is useful in applications.

Key words: flexible vegetation, PVC slice, micro ADV, mixing-length approach, streamwise velocity distribution, Reynolds stress, river compression parameter

2010 MSC Number: 

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