位相的カオスを利用した
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位相的カオスを利用した 流体のかき混ぜ PowerPoint PPT Presentation


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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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5569280

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


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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.


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split-and-recombine (SAR) のmixing の様子


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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


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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


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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.


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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


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hypotrochoid curve


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hypotrochoid curve を利用したBSD


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Example


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Example


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対応するbraid


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0bservation:

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


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Table of Linking number

lk() = (  ∈{1, 2, 3, 4})

lk() = 0 (    ∈{a, b, c, d})


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実験


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PHYSICAL REVIEW E73

Topological mixing with

ghost rods

Gouillart, Thiffeault and Finn


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ghost rods


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PHYSICS OF FLUID 19

Gnerating topological chaos

in lid-driven cavity flow

Stremler, Chen


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lid-driven cavity flow


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