Abstract
A hollow vortex of circulation γ and core radius a is created above a rigid infinite plane which is inclined at angle 1/2 π – α to the undisturbed vortex lines, where α is small. The fluid is assumed to be inviscid and slightly compressible. The deformation of the filament is a source of acoustic radiation, which is calculated on the assumption that the source is compact, which will be true if the time since the creation of the filament is not too large. The acoustic pressure field at a large distance R from the region of interaction is of order of magnitude α ρ γ2 M / aR and has a strong directionality, which is calculated. Here, ρ is the ambient density and M is the Mach number based on the circumferential speed of fluid particles in the hollow vortex boundary. Insertion of values of the constants for the vortex shed from a helicopter rotor blade suggest that the interaction might be a significant noise source.
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Schedule a callMore From: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
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