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.
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Project supported by the National Natural Science Foundation of China (Nos. 10972163 and 51079102) and the Fundamental Research Funds for the Central Universities (No. 2104001)
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Huai, Wx., Geng, C., Zeng, Yh. et al. Analytical solutions for transverse distributions of stream-wise velocity in turbulent flow in rectangular channel with partial vegetation. Appl. Math. Mech.-Engl. Ed. 32, 459–468 (2011). https://doi.org/10.1007/s10483-011-1430-6
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DOI: https://doi.org/10.1007/s10483-011-1430-6
Key words
- theory of poroelasticity
- open channel flow
- vegetation
- secondary current
- depth-averaged velocity distribution