1 Department of Physics, Technical University of Denmark2 Dynamical systems, Department of Mathematics, Technical University of Denmark3 Department of Mathematics, Technical University of Denmark4 Center for Fluid Dynamics, Center, Technical University of Denmark5 Department of Micro- and Nanotechnology, Technical University of Denmark6 Department of Applied Mathematics and Computer Science, Technical University of Denmark7 Virginia Tech
A number of instability and bifurcation problems related to the dynamics of vortex wake flows are addressed using various analytical tools and approaches. We discuss the bifurcations of the streamline pattern behind a bluff body as a vortex wake is produced, a theory of the universal Strouhal-Reynolds number relation for vortex wakes, the bifurcation diagram for "exotic" wake patterns behind an oscillating cylinder first determined experimentally by Williamson & Roshko, and the bifurcations in topology of the streamlines pattern in point vortex streets. The Hamiltonian dynamics of point vortices in a periodic strip is considered. The classical results of von Kármán concerning the structure of the vortex street follow from the two-vortices-in-a-strip problem, while the stability results follow largely from a four-vortices-in-a-strip analysis. The three-vortices-in-a-strip problem is argued to be relevant to the wake behind an oscillating body.
Journal of Physics: Conference Series (online), 2007, Vol 64, Issue 1
Main Research Area:
Second International Symposium on Instability and Bifurcations in Fluid Dynamics, 2007