中文摘要：

为将奇点分布法这一有优势的流体机械叶片翼型设计方法应用于轴流泵叶轮叶片设计,以平面势流理论及数值计算为基础,推导了基于适合轴流泵叶片翼型边界条件的漩涡密度函数的系统应用性计算公式,所获结果将准确确定各翼型骨线关键节点位置,它们形成的翼型骨线在满足给定设计点泵的性能参数的同时,还能形成要求的流动奇点与驻点,由此产生流动损失最小的叶片翼型。以该方法改型设计的一台轴流泵的型式试验表明,设计泵在设计点的效率由原来的78%提升到85%,特性曲线符合要求。该研究深化了轴流泵叶轮叶栅流动理论,将奇点分布理论转化为轴流泵叶轮翼型的实用设计方法,为设计技术人员提供了开发新产品的工具。

英文摘要：

Singularity calculating program is an important approach to design blade airfoils of axial flow machinery. This method is originally used in the runner design of propeller turbines. High efficiency and satisfactory performance of the runners has proved that this program has many advantages compared with other calculating methods for axial flow machines. To improve performance characteristics of axial flow pumps, it is valuable to introduce singularity calculating approach for the design of axial flow pumps. The principles in this program can be described briefly as follows. A vortex sheet is placed along a special curve in the uniform flow field with planar potential flow. If the induced velocity superimposed with the original planar uniform flow can ensure the curve to be a streamline and this streamline can meet all flowing boundary conditions, a solid curved thin plate can be used to replace the vortex sheet, for the flow field formed by the plate and the flow field without the plate are identical. Because velocity distribution of a potential flow is determined by its potential function, which satisfies the Laplacian equation. The solution to any Laplacian equation is solely determined by boundary conditions of the flow. As the induced velocity is developed by vortex sheet, the vortex density distribution along the sheet is very important. In a developed planar flow surface, for the same cascade, energy conversion and relative velocity in the runners and impellers are opposite, and stagnant point and singular point are also located in 2 opposite positions of the same airfoil. As a result, the vortex density distribution along the airfoil mean line can’t be the same for the cascade when used for 2 kinds of hydraulic machines. However, there is only one distribution function presented in traditional approaches reported in all literatures. Further analysis showed that the traditional distribution function was only suitable for boundary conditions of runner airfoils. Later a new type of vortex density function w