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Mixing measures for a two-dimensional chaotic Stokes flow

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Abstract

The effectiveness of a large number of protocols for mixing in a two-dimensional chaotic Stokes flow, according to a variety of measures, is investigated. The degree to which the various mixing measures are correlated is computed, and while no single protocol simultaneously optimises all measures, it is found that a small subset of the protocols perform well against most measures. However, it is difficult to elicit general rules for selecting effective protocols: for example, superficially similar protocols are found to exhibit considerably different mixing capabilities. The results presented here suggest that the selection of effective protocols by `sieving' (i.e., by successively eliminating candidate protocols that fail increasingly discerning mixing measures) may be ineffective in practice.

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Authors and Affiliations

  1. School of Mathematical Sciences, University of Nottingham, University Park, Nottingham, NG7 2RD, United Kingdom

    M.D. Finn, S.M. Cox & H.M. Byrne

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  2. S.M. Cox
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  3. H.M. Byrne
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Finn, M., Cox, S. & Byrne, H. Mixing measures for a two-dimensional chaotic Stokes flow. Journal of Engineering Mathematics 48, 129–155 (2004). https://doi.org/10.1023/B:ENGI.0000011930.55539.69

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