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https://hdl.handle.net/2440/35005
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Type: | Journal article |
Title: | Topology, braids and mixing in fluids |
Author: | Thiffeault, J. Finn, M. |
Citation: | Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2006; 364(1849):3251-3266 |
Publisher: | Royal Soc London |
Issue Date: | 2006 |
ISSN: | 1364-503X 1471-2962 |
Statement of Responsibility: | Jean-Luc Thiffeault and Matthew D. Finn |
Abstract: | Stirring of fluid with moving rods is necessary in many practical applications to achieve homogeneity. These rods are topological obstacles that force stretching of fluid elements. The resulting stretching and folding is commonly observed as filaments and striations, and is a precursor to mixing. In a space-time diagram, the trajectories of the rods form a braid, and the properties of this braid impose a minimal complexity in the flow. We review the topological viewpoint of fluid mixing, and discuss how braids can be used to diagnose mixing and construct efficient mixing devices. We introduce a new, realisable design for a mixing device, the silver mixer, based on these principles. |
Keywords: | Chaotic mixing Topological chaos Braids |
Description: | Copyright © Royal Society 2006 |
DOI: | 10.1098/rsta.2006.1899 |
Published version: | http://dx.doi.org/10.1098/rsta.2006.1899 |
Appears in Collections: | Applied Mathematics publications Aurora harvest |
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