中文摘要：

基于叶片骨线积分方程,采用逐点积分法针对三种不同叶片安放角分布规律设计了冷却塔用低比转速混流式转轮叶片。通过全流道数值模拟,分析了叶片安放角分布规律对设计转轮的压力分布、尾水管涡核分布及水轮机的能量特性的影响。研究结果表明,最优工况下,三个水轮机效率基本一致,但是叶片表面压力分布随着叶片安放角分布规律不同呈现明显的差异；在小流量工况下,下凹型叶片安放角分布规律设计的转轮效率较高；在大流量工况,按上凸型叶片安放角分布规律设计的转轮单位出力较大；设计工况下,线性分布的叶片安放角分布规律设计的转轮出流相对较好。

英文摘要：

In this study, three types of runner blades with different angle distributions were designed for Francis runners used in cooling tower by solving blade bone line integral equation with the method of integral point-to-point. CFD simulations were used for analysis of the effects of blade angle distribution on the pressure distribution on blade, the vortex core distribution in draft tube, and the energy performance of turbine. The results show that in the optimal working condition, the three turbines have the same efficiencies but different pressure distributions on the blade owing to different blade angles. For small flow the efficiency of runners is higher with blades of concave （rn_gl） angle distribution, while for large flow the efficiency higher with convex （m_g3） blades; but the linear angle distribution（rn_g2） produces better outflow in the design condition.