Review of Compressible Flow Theories for Airfoil Cascades

Abstract

Solutions to the direct problem of subsonic flow calculation for cascades are first reviewed and the existing techniques are classified into series, iterative, matrix, and streamline curvature solutions. Most techniques appear to be successful when the peak velocity remains subsonic. Some solutions to the design problem are reviewed but results from these require further verification. Purely supersonic cascade flows, although rare, offer no particular difficulties but the regime of greatest current activity involves transonic or mixed flows. Where both subsonic and supersonic flows exist various new techniques offer great promise.