三维低雷诺数叶片参数化方法研究

叶片参数化是叶轮机械气动优化过程中十分重要的一个环节，它决定着叶片的气动优化空间。传统叶片是通过叶片几何或特征来实现参数化，很少利用气动参数来实现。为了解决该问题，提出一种基于气动参数的三维叶片参数化方法，该方法通过经验公式将气动参数引入叶片参数化过程，并利用几个重要截面中的两条重要特征曲线（中弧线和厚度分布曲线）实现叶片重构。通过对实际叶片进行参数化可以发现：参数化后叶片与原始叶片之间的几何相对误差最大不超过0.01；两者表面压力系数变化趋势基本一致。因此，该方法不仅能够准确描述三维叶片形状，还将气动参数直接设置为优化控制变量，从而有利于优化效率的提高。

The Study of the Parameterization Method Applied to Three-Dimensional Low Reynolds Number Blade

Blade parameterization is a very important procedure in the aerodynamic optimization process of turbomachinery,which determines the aerodynamic optimization space of blades.Traditional blades are parameterized are realized by the blade geometry or the characteristics and rarely by aerodynamic parameters.To solve this problem,a three dimensional blade parameterization method based on aerodynamic parameters is proposed.In this method,the aerodynamic parameters are introduced into the process of blade parameterization by empirical formula,and two important characteristic curves,such as the camber curve and the thickness distribution curve in several key sections are used to realize the blade reconstruction.Through the parameterization of the actual blade,it can be found that the maximum geometric relative error between the parameterized blade and the original blade is less than 0.01.The variation trend of surface pressure coefficient of two blades is almost the same.Therefore,this method can not only accurately describe the three dimensional blade shape,but also directly set the aerodynamic parameter as the control variable of optimization,which is conducive to the improvement of optimization efficiency.