Abstract
Sound radiation from a localized, weakly compressible flow in an inviscid fluid is investigated. A matching method enables the surrounding acoustic field to be related to the local eddy flow associated with a system of compact vortices. By using an asymptotic expansion of the velocity potential associated with the vorticity distribution, a general expression for the acoustic pressure is found to depend linearly on the vorticity, in accord with the theories of Möhring and Obermeier. This scheme is applied to an interacting system of coaxial circular vortex rings, and in particular two examples are presented of the time histories of the radiated acoustic pressures which are generated by interactions of two identical vortex rings, in “head-on collision” and in “mutual threading”, respectively.
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