Investigations of water flow movements affected by vegetation is a research hotspot in vegetation ecological restoration. The theory and equations of the flow velocity distribution under the influence of rigid vegetation are relatively mature. This study proposes a new drag force equation that varies with the vegetation bending angle and a new analytical solution of the velocity profile. Comparisons between the model calculation and experimental data, results showed that this new proposed model produced accurate simulations for flow through flexible vegetation for various deflections. In addition, this analytical model was verified to be applicable to rigid vegetation without a bending angle. Moreover, the features of the parameters adopted in this analytical equation are discussed, and the empirical equation for these parameters are presented. This study further improves the research in the field of environmental fluid mechanics and can serve as a theoretical underpinning for the ecological restoration of river courses.

中文翻译：

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推导柔性植被流速度剖面解析解的弯曲杆阻力新公式


植被影响的水流运动研究是植被生态恢复的研究热点。刚性植被影响下的流速分布理论和方程已经比较成熟。这项研究提出了一个新的随植被弯曲角度变化的阻力方程和一个新的速度剖面解析解。模型计算与实验数据的比较结果表明，这种新提出的模型可以准确模拟各种偏转下穿过柔性植被的流动。此外，该分析模型被验证适用于没有弯曲角度的刚性植被。此外，讨论了该解析方程所采用的参数的特点，并给出了这些参数的经验方程。该研究进一步完善了环境流体力学领域的研究，可为河道生态修复提供理论支撑。