A Singularity Method for Three-Dimensional Thin Wing in Shear Flow

Abstract

The guide vanes and the impellers of turbomachinery, because they operate between the casing and the boss, are in shear flow due to the wall boundary layer. The reason why so many problems involving this kind of branch are left unsolved seems to be the lack of applicability of the existing methods caused by mathematical or numerical difficulties. This paper aims to propose a concise and precise method of solution for the three-dimensional wing in shear flow between two parallel plane walls, which is a mode function method for the derived simultaneous integral equation.