A hydrofoil weir is a special type of weir that is designed on the basis of aerofoil theory. These weirs have the merits of a higher discharge coefficient, more stability, and fewer fluctuations for a water-free surface compared to sharp-, broad and long-crested weirs. Hydrofoil weirs with an incidence angle of potential flow look like ogee weirs and can be used as dam spillways. In the present study, a conformal mapping technique is applied to investigate the flow around a hydrofoil weir and compare it to the flow around a circular cylinder, where the potential and free vortex flows are combined. The discharge coefficient and velocity distribution are obtained using the Joukowsky transformation and fundamental theories of hydraulics. The analytical results are calibrated using an extensive set of former experimental data. The results indicate that the present approximate analytical model predicts the discharge coefficient and velocity distribution with an acceptable precision compared to the available developed empirical relationships for these weirs, and is a good tool for the design of hydrofoil weirs.

中文翻译：

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基于对称Joukowsky水翼周围势流理论的水翼堰流量系数

水翼堰是根据翼型理论设计的一种特殊类型的堰。与尖、宽和长顶堰相比，这些堰具有更高的流量系数、更高的稳定性和更少的无水表面波动。具有势流入射角的水翼堰看起来像 ogee 堰，可用作大坝溢洪道。在本研究中，应用共形映射技术来研究水翼堰周围的流动，并将其与圆柱周围的流动进行比较，其中潜在涡流和自由涡流相结合。流量系数和速度分布是使用 Joukowsky 变换和水力学基本理论获得的。使用大量以前的实验数据校准分析结果。