Mixing and Chaos in Open Flows

Alessandro Paula Servio de Moura, Ulrike Feudel, Emmanuelle Gouillart

Research output: Chapter in Book/Report/Conference proceedingChapter

2 Citations (Scopus)

Abstract

We review the theoretical and experimental knowledge of mixing in open flows displaying chaotic advection, from a point of view of dynamical systems theory. We show that the chaotic saddle and its stable and unstable manifolds constitute the skeleton around which the dynamics are organized, and that their fractal properties govern advection and mixing in open flows. The effects of KAM islands on the mixing are examined, as well as the interplay between molecular diffusion and chaotic advection. We discuss the appropriate definition of mixing in practical situations and present experiments motivated by industrial applications. We also discuss applications of these concepts to plankton dynamics in the oceans.
Original languageEnglish
Title of host publicationAdvances in Applied Mechanics
EditorsErik van der Giessen, Hassan Aref, Herman Clercx, Michel Speetjens
PublisherElsevier
Pages1-50
Number of pages50
Volume45
ISBN (Print)9780123808769
DOIs
Publication statusPublished - 2012

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chaos
advection
plankton
molecular diffusion
saddles
musculoskeletal system
dynamical systems
fractals
oceans

Keywords

  • chaotic advection
  • open flows
  • mixing

Cite this

de Moura, A. P. S., Feudel, U., & Gouillart, E. (2012). Mixing and Chaos in Open Flows. In E. van der Giessen, H. Aref, H. Clercx, & M. Speetjens (Eds.), Advances in Applied Mechanics (Vol. 45, pp. 1-50). Elsevier. https://doi.org/10.1016/B978-0-12-380876-9.00001-X

Mixing and Chaos in Open Flows. / de Moura, Alessandro Paula Servio; Feudel, Ulrike; Gouillart, Emmanuelle.

Advances in Applied Mechanics. ed. / Erik van der Giessen; Hassan Aref; Herman Clercx; Michel Speetjens. Vol. 45 Elsevier, 2012. p. 1-50.

Research output: Chapter in Book/Report/Conference proceedingChapter

de Moura, APS, Feudel, U & Gouillart, E 2012, Mixing and Chaos in Open Flows. in E van der Giessen, H Aref, H Clercx & M Speetjens (eds), Advances in Applied Mechanics. vol. 45, Elsevier, pp. 1-50. https://doi.org/10.1016/B978-0-12-380876-9.00001-X
de Moura APS, Feudel U, Gouillart E. Mixing and Chaos in Open Flows. In van der Giessen E, Aref H, Clercx H, Speetjens M, editors, Advances in Applied Mechanics. Vol. 45. Elsevier. 2012. p. 1-50 https://doi.org/10.1016/B978-0-12-380876-9.00001-X
de Moura, Alessandro Paula Servio ; Feudel, Ulrike ; Gouillart, Emmanuelle. / Mixing and Chaos in Open Flows. Advances in Applied Mechanics. editor / Erik van der Giessen ; Hassan Aref ; Herman Clercx ; Michel Speetjens. Vol. 45 Elsevier, 2012. pp. 1-50
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