Several problems related to the dynamics of vortex patterns as observed in wake flows are addressed. These include: The universal Strouhal-Reynolds number relation. The Hamiltonian dynamics of point vortices in a periodic strip, both the classical two-vortices-in-a-strip problem, which gives the structure and self-induced velocity of the traditional vortex street, and the three-vortices- in-a-strip problem, which is argued to be relevant to the wake behind an oscillating body. The bifurcation diagram for wake structure found experimentally by Williamson and Roshko is addressed theoretically.
Keywords:
Strouhal-Reynolds number, vorticity, three-vortices-in-a-strip problem, bifurcation diagram
Citation:
Aref H., Vortex dynamics of wakes, Rus. J. Nonlin. Dyn.,
2006, Vol. 2, No. 4,
pp. 411-424
DOI:10.20537/nd0604003