Chaotic advection, diffusion, and reactions in open flows
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TR Number
Date
2000-03
Journal Title
Journal ISSN
Volume Title
Publisher
AIP Publishing
Abstract
We review and generalize recent results on advection of particles in open time-periodic hydrodynamical flows. First, the problem of passive advection is considered, and its fractal and chaotic nature is pointed out. Next, we study the effect of weak molecular diffusion or randomness of the flow. Finally, we investigate the influence of passive advection on chemical or biological activity superimposed on open flows. The nondiffusive approach is shown to carry some features of a weak diffusion, due to the finiteness of the reaction range or reaction velocity. (C) 2000 American Institute of Physics. [S1054-1500(00)02001-2].
Description
Keywords
open hydrodynamical flows, leapfrogging vortex pairs, 2-dimensional, Turbulence, point vortices, random maps, velocity-field, fluid-flows, scattering, system, boundaries
Citation
Tel, T.; Karolyi, G.; Pentek, A.; Scheuring, I.; Toroczkai, Z.; Grebogi, C.; Kadtke, J., "Chaotic advection, diffusion, and reactions in open flows," Chaos 10, 89 (2000); http://dx.doi.org/10.1063/1.166478