扭曲叶片绘形新方法

A New Way of Distorted Blade Drawing

通过理论分析与数学计算获得了平面曲线上任一点处安放角与曲线极坐标方程的关系,同时导出了通过平面上两定点且在两定点处有给定方向的曲线的极坐标插值方程。以这些理论成果为基础,进一步提出了叶片表面相对流线在投影平面上绘形新方法。这一方法不仅保证了绘制的型线有给定的边界条件,同时保证了各型线有相等的包角。上述理论与方法将有利于完善扭曲叶片绘形新程序,丰富叶片绘形理论。

By way of theoretical analysis, the relationship between settling angle on a planar curve and the polar coordinates of the same curve was obtained, and the polar equation of a curve that passed through two fixed points and had the specified directions at these two points was also derived. Based on the above-mentioned achievements, a new way to plot the projected curve of relative streamline on the blade surface was presented. The curve plotted in this way would meet the boundary conditions given and all the polar curves embodied the same wrapping angle. These theories and the new method would be beneficial in the new process of blade drawing.