Abstract

Non-linear acoustic oscillations in covered cavities, excited by a jet which is wall-bounded on one side, are discussed on the basis of a second-order theory. With the shear layer at the free edge of the jet considered as a simple (stable) vortex sheet the matching conditions between the acoustic wave fields in the jet and the cavity are introduced in a general second-order equation for wave fields in rectangular resonators. This procedure leads to a second-order wave equation containing a time lag. Solutions are computed with the help of an evolution scheme and compared with experiments. Based upon a simple impedance model it is suggested that the wave equation may change its character when the shear layer at the free edge of the jet is strongly disturbed, with the interesting consequence that the oscillation amplitudes in the cavity are reduced significantly.

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