1996
DOI: 10.1103/physrevlett.77.5055
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Experimental Evidence for Chaotic Scattering in a Fluid Wake

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Cited by 73 publications
(69 citation statements)
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“…These f lows, characterized by strong imperfect mixing, lead to a fractal spatial distribution of advected particles, also observed in laboratory experiments (20). Recent studies of chemical reactions superimposed on such f lows (23) revealed that chemical activity is concentrated along fractal filaments, and that the reaction typically reaches a steady state.…”
mentioning
confidence: 88%
See 1 more Smart Citation
“…These f lows, characterized by strong imperfect mixing, lead to a fractal spatial distribution of advected particles, also observed in laboratory experiments (20). Recent studies of chemical reactions superimposed on such f lows (23) revealed that chemical activity is concentrated along fractal filaments, and that the reaction typically reaches a steady state.…”
mentioning
confidence: 88%
“…For our analysis we consider the flow around a cylinder. For moderate inflow velocities there is a periodic detachment of vortices in the wake with period T, which forms the von Kármán vortex street (18)(19)(20). The flow in the wake is time-dependent but still spatially regular.…”
mentioning
confidence: 99%
“…Such systems are relevant for certain chemical reactors and also in some geophysical problems. Advection in this type of open flows has been shown to be governed by a chaotic scattering type escape process generating fractal patterns of the advected tracers [31,32].…”
Section: The Modelsmentioning
confidence: 99%
“…We work in a range of parameters where a von Kármán vortex street exists, and vortices are detaching from the upper and lower halves of the cylinder with a period T. Experiments carried out in this flow proved the existence of unstable periodic orbits and of a fractal unstable manifold. 39 This problem has also been investigated numerically in great detail. [21][22][23][24][25] For simplicity we take an analytical model for the streamfunction introduced in Ref.…”
Section: ṙϭV͑rt ͒ ͑1͒mentioning
confidence: 99%
“…[10][11][12]14,15,26 In the wake of the cylinder, however, they can hardly be observed. 24,39 The applied resolutions suggest that they are certainly not present on dimensionless length scales above 10 Ϫ4 . Another, independent source is the surface of the cylinder.…”
Section: ṙϭV͑rt ͒ ͑1͒mentioning
confidence: 99%