537 citations · 1.3k across the 18 of their papers we have counts for
7 papers · 1 filter
Frontiers of chaotic advection
Hassan Aref, John R. Blake, Marko Budišić +20
This work reviews the present position of and surveys future perspectives in the physics of chaotic advection: the field that emerged three decades ago at the intersection of fluid…
Geometric Mixing, Peristalsis, and the Geometric Phase of the Stomach
Jorge Arrieta, Julyan H. E. Cartwright, Emmanuelle Gouillart +3
Mixing fluid in a container at low Reynolds number - in an inertialess environment - is not a trivial task. Reciprocating motions merely lead to cycles of mixing and unmixing, so c…
Open-flow mixing: Experimental evidence for strange eigenmodes
Emmanuelle Gouillart, Olivier Dauchot, Jean-Luc Thiffeault +1
We investigate experimentally the mixing dynamics in a channel flow with a finite stirring region undergoing chaotic advection. We study the homogenization of dye in two variants o…
Topology of Chaotic Mixing Patterns
Jean-Luc Thiffeault, Matthew D. Finn, Emmanuelle Gouillart +1
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 t…
The Size of Ghost Rods
Jean-Luc Thiffeault, Emmanuelle Gouillart, Matthew D. Finn
'Ghost Rods' are periodic structures in a two-dimensional flow that have an effect on material lines that is similar to real stirring rods. An example is a periodic island: materia…
Topological Mixing with Ghost Rods
Emmanuelle Gouillart, Jean-Luc Thiffeault, Matthew D. Finn
Topological chaos relies on the periodic motion of obstacles in a two-dimensional flow in order to form nontrivial braids. This motion generates exponential stretching of material…
Topological Chaos in Spatially Periodic Mixers
Matthew D. Finn, Jean-Luc Thiffeault, Emmanuelle Gouillart
Topologically chaotic fluid advection is examined in two-dimensional flows with either or both directions spatially periodic. Topological chaos is created by driving flow with movi…