Analytical model for vertical velocity profiles in flows with submerged shrub-like vegetation |
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| Authors: | Zhaowei Liu Yongcan Chen Dejun Zhu Erqing Hui Chunbo Jiang |
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| Institution: | 1. State Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing, 100084, China
2. Department of Science & Technology and Environment Protection, China Three Gorges Corporation, Yichang, 443002, China
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| Abstract: | An analytical solution for the vertical profiles of the horizontal velocity of channel flow with submerged shrub-like vegetation is investigated in this paper. At first, a shape function is proposed to fit the diameter change of different types of shrub-like vegetation. Using the momentum theorem and the mixing-length turbulence model, an analytical solution for the vertical profile of the horizontal velocity within the vegetation is obtained. The velocity distribution of the whole column is determined in tandem with the logarithmic velocity profile above the vegetation. The solution is compared with experimental data in excellent agreement. The results show that the flow above the vegetation has a logarithmic velocity profile while the flow within the vegetation is impacted greatly by the shape and density of vegetation. The flows within shrub-like vegetations are non-uniform and vary inversely with the shrub diameter. |
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