The effect of Uniform Spanwise Vorticity on the Two-Dimensional Flow Through Cascades

Abstract

An inherent characteristic of the flow in regenerative turbomachines is the presence of a uniform vorticity in the blade-to-blade plane. Control volume arguments indicate that the effect of this spanwise component of vorticity is to modify the loading on the blades, and modified forms of the Zweifel aerodynamic loading coefficient and the Lieblein compressor diffusion factor are derived to account for this effect. A method for calculating two-dimensional flow through cascades with a uniform spanwise vorticity is described, and results are presented which illustrate the increase in loading and deviation due to the presence of the vorticity.