Conformal Transformation of Row of Flat-plates into Row of Circular Cylinders

The present paper deals with a new function which transforms conformally a row of flat-plates into a row of circular cylinders. This new function if the basic function which can be used to obtain the two-dimensional potential flow about blades with arbitrary profiles in cascade. The distortion between the physical plane and the mapped plane, as the result of applying this new transformation, is exceeding small. Therefore, the flow about blades with arbitrary profiles in cascade can be obtained more easily and accurately by this method than by the other methods; i.e., the conformal transformations of the blades in cascade into a single circular cylinder or into two concentric circular cylinders. Furthermore, the flow through a cascade whose angle of stagger and solidity are larger can be obtained easily by this method. In addition, the flow near the leading edge can be obtained accurately.