HUAI Wen-xin, HAN Jie, ZENG Yu-hong, AN Xiang, QIAN Zhong-dong. Study on Velocity Distribution of Flow With Submerged Flexible Vegetations Based on Mixing-Length Approach[J]. Applied Mathematics and Mechanics, 2009, 30(3): 325-332.
 Citation: HUAI Wen-xin, HAN Jie, ZENG Yu-hong, AN Xiang, QIAN Zhong-dong. Study on Velocity Distribution of Flow With Submerged Flexible Vegetations Based on Mixing-Length Approach[J]. Applied Mathematics and Mechanics, 2009, 30(3): 325-332.

# Study on Velocity Distribution of Flow With Submerged Flexible Vegetations Based on Mixing-Length Approach

• Rev Recd Date: 2008-11-21
• Publish Date: 2009-03-15
• Choosing PVC slice to simulate the flexible vegetation, the laboratory experiments were carried out in an open channel with submerged flexible vegetation, and 3D acoustic Doppler velocimeter (Micro ADV) was introduced to measure the local flow velocities and Reynolds stress. The result showed that the hydraulic characteristics in the non-vegetation layer and the vegetation layer are totally different. In the region above the vegetation, Reynolds stress's distribution is linear; meanwhile, measured velocity's profile is a classical logarithmic one. Based on the concept of nwe/riverbed0, the river compress parameter which represented the impact of vegetation on river was given for the first time and a new mixing length expression was assumed with reason. The formula of time-averaged velocity deduced from the mixing length expression had advantages of less parameters needed, simple calculation and useful application.
•  [1] 黄本胜, 赖冠文, 邱静，等. 河滩种树对行洪影响试验研究[J]. 水动力研究与进展,1999,14(2):468-473. [2] Fathi-Moghadam M, Kouwen N. Nonrigid, nonsubmerged, vegetative roughness on flood plains[J].Journal of Hydraulic Engineering,1997,123(1):51-57. [3] Thompson G T. A theory of flow resistance for vegetated channels[D].Washington: Washington State University, 1974. [4] Ree W O. Hydraulic characteristics of vegetation for vegetated waterways[J]. Agricultural Engineering,1949,30:184-187, 189. [5] Kouwen N, Li R M, Simons D B. Flow resistance in vegetated waterways[J].Water Resources and Management,1981,24(3): 684-690,698. [6] WU Fu-chun, Hsieh Wen Shen. Variation of roughness coefficients for unsubmerged and submerged vegetation[J].Journal of Hydraulic Engineering,1999,125(9):934-942. [7] 杨克君，刘兴年，曹叔尤,等. 植被作用下的复式河槽漫滩水流紊动特性[J].水利学报，2005,36(10)：1263-1268. [8] Elliot A H. Settling of fine sediment in a channel with emergent vegetation[J].Journal of Hydraulic Engineering,2000,126(8):570-577. [9] DENG Zhi-qiang, Vijay P Singh, Lars Bengtsson. Longitudinal dispersion coefficient in straight rivers[J].Journal of Hydraulic Engineering,2001,127(11):919-927. [10] LI Jia-chun,LIU Qing-quan,ZHOU Ji-fu.Environmental mechanics research in China[J].Advances in Applied Mechanics,2003,39(2):217-306. [11] 拾兵，曹叔尤. 植物治沙动力学[M].青岛：青岛海洋大学出版社，2000. [12] Neary V S. Numerical solution of fully developed flow with vegetative resistance[J].Journal of Engineering Mechanics,2003,129(5):558-563. [13] JIE Cui. LES study of turbulent flows with submerged vegetation[J].Journal of Hydraulic Research,2008,46(3): 307-316. [14] Nikora Vladimir, lan McEwan, Stephen McLean,et al. Double-averaging concept for rough-bed open-channel and overland flows: theoretical background[J].Journal of Hydraulic Engineering,2007,133(8):873-883. [15] Buschmann M H. New mixing-length approach for the mean velocity profile of turbulent boundary layers[J].Journal of Fluids Engineering,2005,127(2):393-396. [16] Zhou J F,Liu Q Q,Li J C.Mixing Process in Estuaries[J].Science in China,Ser A,1999,42(10):1110-1120. [17] Stephan Ursula, Gutknecht Dieter. Hydraulic resistance of submerged flexible vegetation[J].Journal of Hydrology,2002,269(1):27-43. [18] 王忖. 有植被的河道水流实验研究[D].硕士论文.南京：河海大学，2003. [19] 盛森芝, 徐月亭, 袁辉靖.近十年来流动测量技术的新发展[J].力学与实践,2002,24(5):1-14. [20] Righetti M, Armanini A. Flow resistance in open channel flows with sparsely distributed bushes[J].Journal of Hydology,2002,269(1):55-64. [21] Ghisalberti Marco, Nepf H M. Mixing layers and coherent structures in vegetated aquatic flows[J].Journal of Geophysical Research,2002,107(2):3-1—3-11. [22] Jarvela Juha. Effect of submerged flexible vegetation on flow structure and resistance[J].Journal of Hydrology,2005,307(1/4): 233-241. [23] Wilson C A M E, Stoesser T, Bates P D,et al. Open channel flow through different forms of submerged flexible vegetation[J].Journal of Hydraulic Engineering, 2003, 129(11):847-853. [24] Nepf H M, Vivoni E R. Flow structure in depth-limited, vegetated flow[J].Journal of Geophysical Research,2000,105(C12):28 547-28 557. [25] Erduran K S, Kutija V. Quasi-three-dimensional numerical model for flow through flexible, rigid, submerged and non-submerged vegetation[J].Journal of Hydroinformatics,2003,5(3): 189-202.

### Catalog

###### 通讯作者: 陈斌, bchen63@163.com
• 1.

沈阳化工大学材料科学与工程学院 沈阳 110142