Applied Mathematics and Mechanics (English Edition) ›› 2011, Vol. 32 ›› Issue (4): 459-468.doi: https://doi.org/10.1007/s10483-011-1430-6

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Analytical solutions for transverse distributions of stream-wise velocity in turbulent flow in rectangular channel with partial vegetation

 HUAI Wen-Xin, GENG Chuan, ZENG Yu-Hong, YANG Zhong-Hua   

  1. State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, P. R. China
  • Received:2010-09-29 Revised:2011-03-08 Online:2011-03-29 Published:2011-04-01

Abstract: The theory of poroelasticity is introduced to study the hydraulic properties of the steady uniform turbulent flow in a partially vegetated rectangular channel. Plants are assumed as immovable media. The resistance caused by vegetation is expressed by the theory of poroelasticity. Considering the influence of a secondary flow, the momentum equation can be simplified. The momentum equation is nondimensionalized to obtain a smooth solution for the lateral distribution of the longitudinal velocity. To verify the model, an acoustic Doppler velocimeter (ADV) is used to measure the velocity field in a rectangular open channel partially with emergent artificial rigid vegetation. Comparisons between the measured data and the computed results show that the method can predict the transverse distributions of stream-wise velocities in turbulent flows in a rectangular channel with partial vegetation.

2010 MSC Number: 

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