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Friction factor for turbulent open channel flow covered by vegetation.
Wang, Wei-Jie; Peng, Wen-Qi; Huai, Wen-Xin; Katul, Gabriel G; Liu, Xiao-Bo; Qu, Xiao-Dong; Dong, Fei.
Afiliación
  • Wang WJ; State Key Laboratory of Simulation and Regulation of Water Cycle in River Basin, China Institute of Water Resources and Hydropower Research, Beijing, 100038, China.
  • Peng WQ; Department of Water Environment, China Institute of Water Resources and Hydropower Research, Beijing, 100038, China.
  • Huai WX; State Key Laboratory of Simulation and Regulation of Water Cycle in River Basin, China Institute of Water Resources and Hydropower Research, Beijing, 100038, China. pwq@iwhr.com.
  • Katul GG; Department of Water Environment, China Institute of Water Resources and Hydropower Research, Beijing, 100038, China. pwq@iwhr.com.
  • Liu XB; State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan, Hubei, 430072, China.
  • Qu XD; Nicholas School of the Environment, Duke University, Durham, North Carolina, 27708, USA.
  • Dong F; Department of Civil and Environmental Engineering, Duke University, Durham, North Carolina, 27708, USA.
Sci Rep ; 9(1): 5178, 2019 03 26.
Article en En | MEDLINE | ID: mdl-30914686
The need for operational models describing the friction factor f in streams remains undisputed given its utility across a plethora of hydrological and hydraulic applications concerned with shallow inertial flows. For small-scale roughness elements uniformly covering the wetted parameter of a wide channel, the Darcy-Weisbach f = 8(u*/Ub)2 is widely used at very high Reynolds numbers, where u* is friction velocity related to the surface kinematic stress, Ub = Q/A is bulk velocity, Q is flow rate, and A is cross-sectional area orthogonal to the flow direction. In natural streams, the presence of vegetation introduces additional complications to quantifying f, the subject of the present work. Turbulent flow through vegetation are characterized by a number of coherent vortical structures: (i) von Karman vortex streets in the lower layers of vegetated canopies, (ii) Kelvin-Helmholtz as well as attached eddies near the vegetation top, and (iii) attached eddies well above the vegetated layer. These vortical structures govern the canonical mixing lengths for momentum transfer and their influence on f is to be derived. The main novelty is that the friction factor of vegetated flow can be expressed as fv = 4Cd(Uv/Ub)2 where Uv is the spatially averaged velocity within the canopy volume, and Cd is a local drag coefficient per unit frontal area derived to include the aforemontioned layer-wise effects of vortical structures within and above the canopy along with key vegetation properties. The proposed expression is compared with a number of empirical relations derived for vegetation under emergent and submerged conditions as well as numerous data sets covering a wide range of canopy morphology, densities, and rigidity. It is envisaged that the proposed formulation be imminently employed in eco-hydraulics where the interaction between flow and vegetation is being sought.

Texto completo: 1 Colección: 01-internacional Base de datos: MEDLINE Tipo de estudio: Prognostic_studies Idioma: En Revista: Sci Rep Año: 2019 Tipo del documento: Article País de afiliación: China Pais de publicación: Reino Unido

Texto completo: 1 Colección: 01-internacional Base de datos: MEDLINE Tipo de estudio: Prognostic_studies Idioma: En Revista: Sci Rep Año: 2019 Tipo del documento: Article País de afiliación: China Pais de publicación: Reino Unido