DETERMINING FLOW VELOCITY THROUGH STRAIGHT PLANAR PROFILE CASCADES BY USING CONFORMAL MAPPING ONTO BAND

Abstract

This paper analyzes the mapping of flow nature around the profile of a straight plane cascade onto band with symmetrically distributed singular points depending on the geometric parameters of the cascade. In accordance with the character of variation of the velocity potential along the band contour, one can conclude that the whole contour is mapped onto a finite part of the band, so that the infinite reach of the band and the decaying conformity of mapping in infinity cannot cause difficulties while solving  the problem. The Schwartz-integrals forming the mathematical model can be reduced to the forms with finite boundaries.