Analytical Solutions for the Transverse Distributions of Stream-Wise Velocity in Turbulent Flow in Rectangular Channel With Partially Vegetations

HUAI Wen-xin; GENG Chuan; ZENG Yu-hong; YANG Zhong-hua

doi:10.3879/j.issn.1000-0887.2011.04.006

Volume 32 Issue 4

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HUAI Wen-xin, GENG Chuan, ZENG Yu-hong, YANG Zhong-hua. Analytical Solutions for the Transverse Distributions of Stream-Wise Velocity in Turbulent Flow in Rectangular Channel With Partially Vegetations[J]. Applied Mathematics and Mechanics, 2011, 32(4): 437-444. doi: 10.3879/j.issn.1000-0887.2011.04.006

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Analytical Solutions for the Transverse Distributions of Stream-Wise Velocity in Turbulent Flow in Rectangular Channel With Partially Vegetations

doi: 10.3879/j.issn.1000-0887.2011.04.006

State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, P. R. China

Received Date: 2010-10-01
Rev Recd Date: 2011-02-14
Publish Date: 2011-04-15

Abstract

Abstract

The lateral distribution of longitudinal velocity in steady uniform turbulent flow in partially vegetated rectangular channel was studied.Plants were assumed as immovable medium.The resistance caused by vegetation was expressed by the theory of poroelasticity.With the consideration of the influence of secondary flow,the momentum equation could be settled.The momentum equation was simplified due to the characters of steady uniform flow.The momentum equation was nondimensionalized to obtain a smooth solution for the lateral distribution of longitudinal velocity.The research shows the secondary current intensity coefficient is in the same order of magnitude under different flow conditions.To verify the model,the acoustic Doppler velocimeter (Micro ADV) is used to measure the velocity field in a rectangular open channel partially with emergent artificial rigid vegetation.Comparisons between the measured data,from both the experiment and the Japanese researchers' paper,and the computed results show that the method did well in predicting the transverse distributions of stream-wise velocity in turbulent flow in rectangular channel with partially vegetations.
- theory of poroelasticity,
- open channel flow,
- vegetation,
- secondary currents,
- depth-averaged

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References(18)

References

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