离心泵叶轮的参数化设计

Investigation on parametric design of centrifugal pump blade

针对传统离心泵叶轮设计步骤繁琐的不足,提出了采用4次Bezier曲线来设计叶轮的轴面流线及叶片型线的方法.详细介绍了轴面流线和叶片型线的控制方法,使其和传统的离心泵设计理论结合起来.将椭圆型偏微分方程应用于叶轮轴面的离散以及叶片空间曲面的生成,并将叶片的空间曲面造型问题转换成偏微分方程的边值问题,控制边界条件即达到对叶片的控制.数值求解边值问题的解,即可得到泵叶片的数值模型,然后再将叶片的数据导入造型软件并生成叶轮的实体造型,实现了离心叶轮的参数化设计.实例计算结果表明,提出的理论和方法是有效的,能够实现叶轮的快速高效设计.

To overcome the inconvenience of traditional centrifugal pump impeller design, the quartic Bezier curve is used to design the meridional plane and blade profile. The control method of these curves is introduced in detail, which can be integrated into the pump design theory. The partial differential e- quation is used to disperse the meridional plane and generate the centrifugal pump blade surface, then the blade design problem is transformed into the boundary-value problem of partial differential equation. While the boundary condition of the partial differential equation is determined, the blade can be formed. Solving the boundary-value problem with numerical method, we can get the numerical model of pump blade. By importing these datum of blade into the CAD software, we can get the 3 - D model of impeller. The parametric design of centrifugal impeller is achieved, and the calculation case shows that the inverse design method of centrifugal pump blade presented here is rational.