A Theory on Cascades built up of Arbitrary Blade Sections (1st Report) : Especially for those of Small Pitch-chord Ratio or those built up of Blade Sections with Large Camber and Thickness

The method used in the past to solve these problems has been to map the blade sections into a single figure, thus eliminating the periodicity of cascade, and then discover a method of further transforming that figure into a circle. However, these methods seem to become exceedingly difficult as the pitch-chord ratio of cascade decreases and as the camber and thickness of blade section increase. Method of combining the two previous operations of mapping in one is sometimes adopted but even then, it is impossible to avoid these difficulties. The author has avoided these difficulties by mapping the odd numbered blade sections into a circle, the even numbered blade sections into a concentric circle and thereby mapping the field of flow through the cascade into the region between these two circles. This method is applicable to cascade of small pitch-chord ratio and to blade section of large camber and thickness and gives rigorous solution.