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位相的カオスを利用した 流体のかき混ぜ

位相的カオスを利用した 流体のかき混ぜ. 奈良女子大学人間文化研究科 博士課程後期２回 梅田早希. horse shoe map を利用した mixing device. Sc ö nfeld, F., Hessel, V. and Hofmann, C., An optimised split-and reconbine micro-mixer with uniform ‘chaotioc’ mixing, Lab Chip 4(2000), 65-69. split-and-recombine (SAR) の mixing の様子.

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位相的カオスを利用した 流体のかき混ぜ

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  1. 位相的カオスを利用した流体のかき混ぜ 奈良女子大学人間文化研究科 博士課程後期２回 梅田早希

  2. horse shoe mapを利用したmixing device Scönfeld, F., Hessel, V. and Hofmann, C., An optimised split-and reconbine micro-mixer with uniform ‘chaotioc’ mixing, Lab Chip 4(2000), 65-69.

  3. split-and-recombine (SAR) のmixing の様子

  4. Stremler-Chenの実験 Stremler, M., Chen, J., Generating topological chaos in lid-driven cavity flow, PHYSICS OF FLUID 19 (2007), 103602-1—103602-6

  5. Kin-Sakajoのcomputer simulation Kin, E., Sakajo, T., Efficient topological chaos embeded in the blinking vortex system, Chaos 15(2005), 023111 023111-1—023111-9

  6. pAtype のBSD Kobayashi T. and Umeda,S, Realizing pseudo-Anosov egg beaters with simple mechanisms, Proc. of the Int. Workshop on Knot theory for Sci. Objects, March(2006), 97-109, 2007.

  7. Thiffeault-FinnのBSD Thiffeault,J.L., Finn, M.D., Topology, Braids, and Mixing in Fluids, Math, Phys. and Eng. Sci. 364 (2006), 3251-3266

  8. hypotrochoid curve

  9. hypotrochoid curve を利用したBSD

  10. Example

  11. Example

  12. 対応するbraid

  13. 0bservation: If it is reducible, lk() = lk( ). for any : inside tube :outside tube

  14. Table of Linking number lk() = ( 　∈｛1, 2, 3, 4｝) lk() = 0 （ 　　 ∈｛a, b, c, d｝）

  15. 実験

  16. PHYSICAL REVIEW E73 Topological mixing with ghost rods Gouillart, Thiffeault and Finn

  17. ghost rods

  18. PHYSICS OF FLUID 19 Gnerating topological chaos in lid-driven cavity flow Stremler, Chen

  19. lid-driven cavity flow

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