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.
The spatial supersonic flow through rotating and stationary annular cascades is analyzed by means of a nonlinear three-dimensional method of characteristics. Three-dimensional corrections for flow quantities referred to a quasi-three-dimensional approximation method are determined depending on geometric and gas dynamical parameters. Characteristic properties of spatial supersonic flow through annular cascades are analyzed, leading to guiding principles for practical design purposes.
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