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

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

Received date: 2010-09-29

  Revised date: 2011-03-08

  Online 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.

Cite this article

HUAI Wen-Xin;GENG Chuan;ZENG Yu-Hong;YANG Zhong-Hua . Analytical solutions for transverse distributions of stream-wise velocity in turbulent flow in rectangular channel with partial vegetation[J]. Applied Mathematics and Mechanics, 2011 , 32(4) : 459 -468 . DOI: 10.1007/s10483-011-1430-6

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