Families Of Translating Neutral Vortex Street Configurations

  • Kevin A. O’Neil
Conference paper
Part of the IUTAM Bookseries book series (IUTAMBOOK, volume 6)


Translating point vortex street configurations model asymptotic states of wakes in a two-dimensional fluid. In this paper such configurations are found with the aid of a multilinear differential equation analogous to the one used in the non-periodic case. Arrangements of point vortex streets with circulations +1/-1 or +1/-2, arbitrary translation velocity and arbitrary numbers of vortex streets (consistent with zero total circulation) are found; the polynomials describing these arrangements have free complex parameters and hence describe a continuum or family of translating states. A similar family with three circulation values is also exhibited.


Vortex street vortex wake vortex dynamics 


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Copyright information

© Springer Science + Business Media B.V 2008

Authors and Affiliations

  • Kevin A. O’Neil
    • 1
  1. 1.Department of MathematicsThe University of TulsaTulsaUSA

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