Acoustic wave emitted by a vortex ring passing near the edge of a half-plane

Abstract
Acoustic emission by vortex–edge interaction is investigated both theoretically and experimentally. The theory of vortex sound enables us to represent the far-field pressure in terms of the vortex motion near the half-plane edge. It is found that the pressure p depends on the product of an angular factor representing directionality and a time factor representing wave profile. The pressure formula leads to the scaling law time derivative of the volume flux (through the vortex ring) of a hypothetical potential flow around the edge.

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