Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2008-04-16
Chaos 18, 033123 (2008)
Nonlinear Sciences
Chaotic Dynamics
15 pages, 13 figures, RevTeX4 macros. Final version
Scientific paper
10.1063/1.2973815
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 minimum 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.
Finn Matthew D.
Gouillart Emmanuelle
Hall Toby
Thiffeault Jean-Luc
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