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Analytical solution of velocity distribution for flow through submerged large deflection flexible vegetation
Wang WJ; Huai WX; Zeng YH; Zhou JF(周济福); Huai, WX (reprint author), Wuhan Univ, State Key Lab Water Resources & Hydropower Engn S, Wuhan 430072, Peoples R China.
Source PublicationApplied Mathematics and Mechanics
2015-01
Volume36Issue:1Pages:107-120
ISSN0253-4827
AbstractAn analytical solution for predicting the vertical distribution of streamwise mean velocity in an open channel flow with submerged flexible vegetation is proposed when large bending occurs. The flow regime is separated into two horizontal layers: a vegetation layer and a free water layer. In the vegetation layer, a mechanical analysis for the flexible vegetation is conducted, and an approximately linear relationship between the drag force of bending vegetation and the streamwise mean flow velocity is observed in the case of large deflection, which differes significantly from the case of rigid upright vegetation. Based on the theoretical analysis, a linear streamwise drag force-mean flow velocity expression in the momentum equation is derived, and an analytical solution is obtained. For the free water layer, a new expression is presented, replacing the traditional logarithmic velocity distribution, to obtain a zero velocity gradient at the water surface. Finally, the analytical predictions are compared with published experimental data, and the good agreement demonstrates that this model is effective for the open channel flow through the large deflection flexible vegetation.
KeywordAnalytical Velocity Distribution Linear Drag Force Flexible Vegetation Large Deflection Mixing Length Theory
Subject AreaMathematics ; Mechanics
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Indexed BySCI ; EI ; CSCD
Language英语
Funding OrganizationProject supported by the National Natural Science Foundation of China (Nos. 11372232 and 51479007), the Specialized Research Fund for the Doctoral Program of Higher Education (No. 20130141110016), and the State Water Pollution Control and Management of Major Special Science and Technology (No. 2012ZX07205-005-03)
CSCD IDCSCD:5413787
DepartmentLMFS水环境流体力学(LEM)
Classification二类/Q2
Citation statistics
Cited Times:1[CSCD]   [CSCD Record]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/49637
Collection流固耦合系统力学重点实验室
Corresponding AuthorHuai, WX (reprint author), Wuhan Univ, State Key Lab Water Resources & Hydropower Engn S, Wuhan 430072, Peoples R China.
Recommended Citation
GB/T 7714
Wang WJ,Huai WX,Zeng YH,et al. Analytical solution of velocity distribution for flow through submerged large deflection flexible vegetation[J]. Applied Mathematics and Mechanics,2015,36(1):107-120.
APA Wang WJ,Huai WX,Zeng YH,Zhou JF,&Huai, WX .(2015).Analytical solution of velocity distribution for flow through submerged large deflection flexible vegetation.Applied Mathematics and Mechanics,36(1),107-120.
MLA Wang WJ,et al."Analytical solution of velocity distribution for flow through submerged large deflection flexible vegetation".Applied Mathematics and Mechanics 36.1(2015):107-120.
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