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Lagrangian chaos and mixing of fluids

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Abstract

After describing the significance of the mixing of fluids by laminar flows, we give a personal survey of Lagrangian chaos, the chaotic motion of fluid particles, in two-dimensional timeperiodic flows and in three-dimensional steady flows. Next, a few studies of the chaotic mixing, mixing of fluids using Lagrangian chaos, are introduced. Finally, some results of the study of the mixing in a two-dimensional time-periodic flow based on a transport matrix are shown.

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Authors and Affiliations

  1. Department of Applied Analysis and Complex Dynamical Systems, Graduate School of Informatics, Kyoto University, Yoshida-Honmachi, Sakyoku, 606-8501, Kyoto, Japan

    Mitsuaki Funakoshi

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  1. Mitsuaki Funakoshi
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Funakoshi, M. Lagrangian chaos and mixing of fluids. Japan J. Indust. Appl. Math. 18, 613–626 (2001). https://doi.org/10.1007/BF03168594

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  • DOI: https://doi.org/10.1007/BF03168594

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