Electronic Resource
[S.l.]
:
American Institute of Physics (AIP)
Physics of Fluids
29 (1986), S. 4006-4015
ISSN:
1089-7666
Source:
AIP Digital Archive
Topics:
Physics
Notes:
A general formulation of the axisymmetric vortex sound is given, and three typical problems are considered in detail, in which the acoustic wave is generated by a vortex ring interacting with either a sphere, a circular disk, or a circular aperture of a plane wall in an axisymmetric manner. The velocity potentials induced by the vortex in the presence of the body are determined by the method of dual integral equations or the image vortex. From the vortex trajectories, the acoustic wave fields are determined. The method of matched asymptotic expansions yields the result that the force exerted on the body is related to the profile of the dipole component. It is also found that the wave amplitude is expressed in terms of the value of a streamfunction at the vortex position, which represents a hypothetical potential flow around the body and is defined appropriately in each problem.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.865741
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