This article is cited in 13 papers

Vortex Pairs and Dipoles

Stefan G. Llewellyn Smith^a, Raymond J. Nagem<sup>b

a</sup> Department of Mechanical and Aerospace Engineering, Jacobs School of Engineering, UCSD, 9500 Gilman Drive, La Jolla CA 92093-0411, USA
^b Department of Mechanical Engineering, Boston University, Boston MA 02215, USA

Abstract: Point vortices have been extensively studied in vortex dynamics. The generalization to higher singularities, starting with vortex dipoles, is not so well understood.We obtain a family of equations of motion for inviscid vortex dipoles and discuss limitations of the concept.We then investigate viscous vortex dipoles, using two different formulations to obtain their propagation velocity. We also derive an integro-differential for the motion of a viscous vortex dipole parallel to a straight boundary.

Keywords: vortex pair, vortex dipole.

MSC: 76B47, 76D17

Received: 05.09.2012
Accepted: 26.02.2013

Language: English

DOI: 10.1134/S1560354713010140

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