Linearized supersonic unsteady flow in cascades

Abstract

A linearised theory is presented for the calculation of force and moment coefficients for two-dimensional cascades of blades in supersonic flow. The cases of both supersonic and subsonic axial velocity are treated. The perturbations are due to bending vibration, torsional vibration, and wakes shed from moving obstructions upstream. The method leads to analytical results in the quasi-steady case, and to a fast computer program for the general unsteady case. Results are in good agreement with previous work. The method can be used to predict forced vibration and flutter in transonic fan blades.