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Author Gouillart, Emmanuelle ♦ Dauchot, Olivier ♦ Thiffeault, Jean-Luc ♦ Roux, Stéphane
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2008-07-10
Language English
Subject Domain (in DDC) Natural sciences & mathematics ♦ Physics
Subject Keyword Nonlinear Sciences - Chaotic Dynamics ♦ nlin
Abstract 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 of an eggbeater stirring protocol that differ in the extent of their mixing region. In the first case, the mixing region is separated from the side walls of the channel, while in the second it extends to the walls. For the first case, we observe the onset of a permanent concentration pattern that repeats over time with decaying intensity. A quantitative analysis of the concentration field of dye confirms the convergence to a self-similar pattern, akin to the strange eigenmodes previously observed in closed flows. We model this phenomenon using an idealized map, where an analysis of the mixing dynamics explains the convergence to an eigenmode. In contrast, for the second case the presence of no-slip walls and separation points on the frontier of the mixing region leads to non-self-similar mixing dynamics.
Description Reference: Phys. Fluids 21, 023603 (2009)
Educational Use Research
Learning Resource Type Article
Page Count 12


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