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The vortex line in steady, incompressible Oseen flow

Chadwick, EA



The horseshoe vortex is given in Oseen flow as a constant spanwise distribution of lift Oseenlets. From this, the vortex line is represented in steady, incompressible Oseen flow. The velocity near to the vortex line is determined, as well as near to and far from the far field wake. The velocity field in the transverse plane near to the vortex line is shown to approximate to the two-dimensional Lamb–Oseen vortex, and the velocity field in the streamwise direction is generated by the bound vortex line of the horseshoe vortex giving a streamwise decay much faster than that of the Batchelor vortex. The far field wake description is shown to be consistent with laminar wake theory.


Chadwick, E. (2006). The vortex line in steady, incompressible Oseen flow. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 462(2066), 391-401.

Journal Article Type Article
Publication Date Jan 1, 2006
Deposit Date Sep 3, 2007
Journal Proceedings of The Royal Society A: Mathematical Physical and Engineering Sciences
Print ISSN 1364-5021
Publisher The Royal Society
Peer Reviewed Peer Reviewed
Volume 462
Issue 2066
Pages 391-401
Keywords Vortex wake, wake flow, Oseen flow, aerodynamics, hydrodynamics
Publisher URL