Bulletin of the American Physical Society
62nd Annual Meeting of the APS Division of Fluid Dynamics
Volume 54, Number 19
Sunday–Tuesday, November 22–24, 2009; Minneapolis, Minnesota
Session LB: Chaos and Fractals I
3:35 PM–5:45 PM,
Monday, November 23, 2009
Chair: Mark Stremler, Virginia Polytechnic Institute and State University
Abstract ID: BAPS.2009.DFD.LB.10
Abstract: LB.00010 : Burning lobes in an advection-reaction-diffusion system*
5:32 PM–5:45 PM
Preview Abstract Abstract
We use the tools developed for chaotic fluid transport to describe the propagation of a reaction front in a chain of oscillating vortices. Specifically, we expand the concept of lobes (turnstiles) bounded by stable and unstable manifolds to account for the propagation of a reaction front. A ``burning lobe'' is a passive lobe that grows due to the reactive medium. We propose that a reaction front will propagate from one vortex to the next in an oscillation period if a portion of the front was within the burning lobe. This framework is used to explain mode-locking of reaction fronts propagating in an oscillating vortex array.
*Supported by NSF Grants DMR-0703635 and PHY-0552790.
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2009.DFD.LB.10
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