Applicability of Axisymmetric Analysis in Predicting Supersonic Flow Through Annular Cascades

Abstract

Solutions of the differential equations of the axisymmetric model and circumferentially averaged solutions of the differential equations of the three-dimensional model are compared quantitatively for steady supersonic flows through rotating annular cascades. Thereby three-dimensional corrections for flow quantities, which determine the applicability of the axisymmetric analysis, are investigated as a function of geometrical and gas dynamical parameters. Finally, these three-dimensional corrections are compared to three-dimensional corrections for the solutions of the usual blade-to-blade model on cylindrical surfaces of revolution for identical annular cascades.