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Type: Journal article
Title: Topology of chaotic mixing patterns
Author: Thiffeault, J.
Finn, M.
Gouillart, E.
Hall, T.
Citation: Chaos: an interdisciplinary journal of nonlinear science, 2008; 18(3):033123-1-033123-16
Publisher: Amer Inst Physics
Issue Date: 2008
ISSN: 1054-1500
Statement of
Jean-Luc Thiffeault, Matthew D. Finn, Emmanuelle Gouillart, and Toby Hall
Abstract: A stirring device consisting of a periodic motion of rods induces a mapping of the fluid domain to itself, which can be regarded as a homeomorphism of a punctured surface. Having the rods undergo a topologically complex motion guarantees at least a minimal amount of stretching of material lines, which is important for chaotic mixing. We use topological considerations to describe the nature of the injection of unmixed material into a central mixing region, which takes place at injection cusps. A topological index formula allow us to predict the possible types of unstable foliations that can arise for a fixed number of rods.
Keywords: Oscillometry
Nonlinear Dynamics
Models, Theoretical
Computer Simulation
Pattern Recognition, Automated
Rights: © 2008 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.
DOI: 10.1063/1.2973815
Appears in Collections:Aurora harvest 5
Mathematical Sciences publications

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