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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HUAI Wen-Xin, GENG Chuan, ZENG Yu-Hong, YANG Zhong-Hua
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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:
76F99
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. Applied Mathematics and Mechanics (English Edition), 2011, 32(4): 459-468.
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URL: https://www.amm.shu.edu.cn/EN/10.1007/s10483-011-1430-6
https://www.amm.shu.edu.cn/EN/Y2011/V32/I4/459