Prediction of vortex shedding from bluff bodies in the presence of a sound field

The separated flow around a rectangular cylinder, in the presence of a transverse duct resonant acoustic mode, is modelled using a vortex method. The instantaneous transfer of power between the mean flow and the acoustic field is predicted using Howe's theory of aerodynamic sound. Whether the net acoustic energy per cycle generated is positive or negative depends on the phase of the acoustic cycle at which vortex clouds arrive at the trailing edge of the cylinder.