Single-parameter model of vegetated aquatic flows

Single-parameter model of vegetated aquatic flows
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DOI:
10.1002/2013wr015065
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发表时间:
2014-08-01
影响因子:
5.4
通讯作者:
Rubol, Simonetta
Rubol, Simonetta
中科院分区:
地球科学1区
文献类型:
--
作者:
Battiato, Ilenia;Rubol, Simonetta

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通过和通过透水层的耦合流发生在各种自然现象中,包括淹没植被上的湍流。在这项工作中,我们采用了两个域的方法来模拟通过和淹没檐篷的流量。该模型,服从一个封闭形式的解决方案,耦合的对数律和达西-Brinkman方程,其特征在于由一种新的表示的阻力,不依赖于通过一个未知的阻力系数的参数化。这种方法限于一个,即,阻塞渗透率、自由参数的数量。冠层有效渗透率的平均速度剖面和冠层上方,体积流量,穿透长度,冠层剪切层参数的解析表达式。该模型表明,在冠层和表层的速度适当重新缩放遵循两个不同的标度律。分析预测与Ghisalberti和Nepf(2004)以及Nepf等人(2007)收集的实验数据相匹配。要点分析模型以一个拟合参数为特征冠层和表层的速度遵循两种不同的标度律模型预测与实验数据之间吻合良好
Coupled flows through and over permeable layers occur in a variety of natural phenomena including turbulent flows over submerged vegetation. In this work, we employ a two-domain approach to model flow through and over submerged canopies. The model, amenable of a closed-form solution, couples the log-law and the Darcy-Brinkman equation, and is characterized by a novel representation of the drag force which does not rely on a parametrization through an unknown drag coefficient. This approach limits to one, i.e., the obstruction permeability, the number of free parameters. Analytical expressions for the average velocity profile through and above the canopies, volumetric flow rate, penetration length, and canopy shear layer parameter are obtained in terms of the canopy layer effective permeability. The model suggests that appropriately rescaled velocities in the canopy and surface layers follow two different scaling laws. The analytical predictions match with the experimental data collected by Ghisalberti and Nepf (2004) and Nepf et al. (2007).Key PointsAnalytical model characterized by one fitting parameter Velocities in the canopy and surface layers follow two different scaling laws Good agreement between model predictions and experimental data