Abstract
A new conformal transformation technique is applied to calculate the two-dimensional incompressible potential ; flow through a cascade. The cascade of arbitrary blades is conformally transformed into a row of circular cylinders and a general complex potential flow is obtained in the mapped plane by applying a perturbation method. The mapping distortion between the physical plane and the mapped plane, as the result of applying this new transformation, is exceedingly small. Therefore, the flow through a cascade whose solidity and/or stagger angle are high can be analyzed more accurately by this method than by the conventional methods ; namely, the method to transform the cascade blades into a single circular cylinder or into two concentric circular cylinders. In addition, the convergency of a series of this new transformation function is not affected by the cascade arrangement.
