Stefan Llewellyn Smith
9500 Gilman Drive, La Jolla CA 92093-0411, USA
Department of Mechanical and Aerospace Engineering, University of California
Llewellyn Smith S. G., Nagem R. J.
Vortex Pairs and Dipoles
2013, vol. 18, no. 1-2, pp. 194-201
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.