Circulation Distributions Caused by Secondary Flows

概要

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In this paper the circulation distributions caused by secondary flows occurring in the cases of flows with nonuniform velocity profiles passing through an axial flow compressor or a turbine cascade, are treated theoretically. It is assumed that this nonuniformity is small and the threedimensional flow is divided into two parts, that is, the two-dimensional fundametal potential and the perturbation flow. Starting from the equation of motion, Smith's equation^<(3)> which relates the span-wise velocity with the circulation variation is derived. Secodary-flow vortices which are parallel to the main outlet-flow and cause span-wise velocity confined in the rectangular flow passage, are determined to satisfy Kutta's condition at the trailing edge, using the relationship between the span-wise velocity and the secondary circulation. The curves of coefficients which relate the circulation with a velocity profile, are calculated and the comparison with author's experiments is made with fairly good agreement.
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