Design of Supercritical Cascades with High Solidity

Abstract

The method of complex characteristics of Garabedian and Korn has been successfully used to design shockless cascades with solidities of up to one. A new code has been developed using this method and a new hodograph transformation of the flow onto an ellipse, This new code allows the design of cascades with solidities of u p to two and larger turning angles, The equations of potential flow are solved in a complex hodographlike domain by setting a characteristic initial value problem and integrating along suitable paths. The topology that the new mapping introduces permits a simpler construction of these paths of integration.