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

作　　者：槐文信 耿川 曾玉红 杨中华 

机构地区：[1]State Key Laboratory of Water Resources and Hydropower Engineering Science,Wuhan University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2011年第4期459-468,共10页应用数学和力学（英文版）

基　　金：supported by the National Natural Science Foundation of China (Nos. 10972163 and 51079102);the Fundamental Research Funds for the Central Universities (No. 2104001)

摘　　要：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.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.

关 键 词：theory of poroelasticity open channel flow VEGETATION secondary current depth-averaged velocity distribution 

分 类 号：TV131.2[水利工程—水力学及河流动力学]