Lifting-Line Theory for Cascade of Blades in Subsonic Shear Flow

概要

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A theory of lifting-lines for cascade of blades in subsonic shear flow is developed by assuming that the dependence of the local lift force upon the local upstream Mach number in shear flow is same as that in two-dimensional flow. By comparing theoretical results with experimental ones, the physical validity of the present theory is discussed. The effect of compressibility upon the mean characteristics of a cascade is found to depend upon the root of harmonic mean square of upstream Mach number (M^^^-^*_<-∞>). Experimental correlation is satisfactory as far as M^^^-^*_<-∞> of the shear flow lies below a certain limit value, and this limit value corresponds to the two-dimensional Mach number beyond which the small disturbance theory for two-dimensional cascade shows poor validity. Significance of M^^^-^*_<-∞> as a criterion for the mean characteristics is also confirmed experimentally.
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