Vortical flow outside a sphere and sound generation


Journal Article

Formulas are presented for an incompressible inviscid velocity field V with a vorticity field Ω outside of a rigid sphere and for the far-field sound generation. The velocity V is expressed as the sum of an image velocity v* and a known velocity v in ℜ3, which is induced by the same vorticity field Ω outside the sphere and the extension Ω = 0 inside. We derive formulas for the image velocity v* and the corresponding image potential Φ*, which in turn yields the far-field sound. These formulas are applied to define the velocity of a slender vortex filament in the presence of a rigid sphere and the associated far-field sound.

Full Text

Cited Authors

  • Knio, OM; Ting, L

Published Date

  • January 1, 1997

Published In

Volume / Issue

  • 57 / 4

Start / End Page

  • 972 - 981

International Standard Serial Number (ISSN)

  • 0036-1399

Digital Object Identifier (DOI)

  • 10.1137/S003613999529397X

Citation Source

  • Scopus