Abstract
A two-dimensional linearized Euler solver for computing unsteady small disturbance flows and time-accurate non-linear Euler and Navier-Stokes solvers for computing unsteady flows in supersonic through-flow fan cascades vibrating with finite amplitudes have been developed to validate the predictions based on the double linearization theory (DLT). Some example calculations indicate that DLT can well predict the general trend of dependences of the unsteady aerodynamic forces on the parameters relevant to the steady loading as far as it is not large. Also it is found that the linearized Euler solutions which assume an infinitesimally small vibration amplitude agree well with the time accurate Euler solutions, and that the viscous effects on the moment coefficient for the normal translational oscillation are small.
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