An actuator disc analysis of unsteady supersonic cascade flow

Abstract

A rather simple analytical result is derived for the aerodynamic forces and moments acting on a cascade of unloaded flat plates vibrating in a supersonic flow. The principal assumptions are that the axial velocity is subsonic, that the blades are sufficiently closely spaced so that a Mach wave cannot propagate upstream through the cascade, and that the frequency parameter and inter-blade phase angle are both small. The unique incidence condition is used. Results show that bending vibration is always damped, but flutter in pure torsion is always predicted.