A theoretical solution of quasi-3D compressible flows in turbomachines (2nd report, Flows on an assumed S2 stream surface)

Abstract

Detailed theoretical and numerical methods of a mass-averaged and pitch-averaged meridional through introduced in our solution in the preceding report are predicted. The solution for a mean flow may consider secondary flows effects by means of conformal mappings of a twisted S 1 stream surface onto an axisymmetoric one and then deal with complicated flows such as those through twisted passages with inlet distortion. Basic relations for the assumed S 2 relative stream surface are reduced to a singular integral equation which fully depends on pseudo-analytic function theories, and solved rigorously. Then itemized numerical method for the solution is showed just the same way as that for S 1 relative stream surface in the report. Owing to the existence and and uniqueness of a solution of the equation successive iteration is used. A numerical example is presented and the computation procedure is clear and easy to accomplish.