DETAILED COMPUTATIONAL PROCEDURE FOR DESIGN OF CASCADE BLADES WITH PRESCRIBED VELOCITY DISTRIBUTIONS IN COMPRESSIBLE POTENTIAL FLOWS

摘要

A detailed step-by-step computational outline is presented for the design of two-dimensional cascade blades having a prescribed velocity distribution on the blade in a potential flow of the usual compressible fluid. This outline is based on the assumption that the magnitude of the velocity in the flow of the usual com¬pressible nonviscous fluid is proportional to the magnitude of the velocity in the flow of a compressible nonviscous fluid with linear pressure-volume relation. The computational procedure includes several ways of adjusting the prescribed velocity to sat¬isfy restrictions imposed by the method. Tables of coefficients are given for evaluating the necessary integrals, including the determination of the harmonic conjugate function. Numerical examples are included.