Zhao Mingdeng, Fan Zilong
State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan, Hubei, China.
PLoS One. 2017 Apr 27;12(4):e0176712. doi: 10.1371/journal.pone.0176712. eCollection 2017.
In order to investigate the influence of the vertical variation of porosity on open-channel flow with submerged vegetation, vertical non-homogeneous stumps and stems in submerged vegetation flow are simulated with truncated cones in a laboratory flume. First, porosity is defined as a function of water depth. A new governing equation for vegetation flow is established on the basis of the poroelastic media flow theory, and its analytical solution is obtained with the finite analytic method. Then, the fitting expression of permeability is established with experimental data, which shows the variation in permeability with vertical porosity and vegetation density. Finally, the calculated velocity distribution is compared with the measured velocity distribution. The theoretical results are in good agreement with the experimental data, which indicates that the theoretical formula accurately and practically predicts vertical velocity distribution in complex open-channel flow with submerged vegetation.
为了研究孔隙率垂直变化对有淹没植被的明渠水流的影响,在实验室水槽中用截锥模拟淹没植被水流中垂直非均匀的树桩和茎干。首先,将孔隙率定义为水深的函数。基于多孔弹性介质流动理论建立了新的植被水流控制方程,并用有限分析法得到其解析解。然后,利用实验数据建立了渗透率的拟合表达式,该表达式表明了渗透率随垂直孔隙率和植被密度的变化。最后,将计算得到的速度分布与实测速度分布进行比较。理论结果与实验数据吻合良好,表明该理论公式能准确、实际地预测复杂的有淹没植被的明渠水流中的垂直速度分布。