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Physics of Fluids / Volume 14 / Issue 4 / SPECIAL SECTION

Phys. Fluids 14, 1315 (2002); http://dx.doi.org/10.1063/1.1458932 (11 pages)

The development of chaotic advection

Hassan Aref

Department of Theoretical and Applied Mechanics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801

(Received 30 October 2001; accepted 16 January 2002; published online 28 February 2002)

The concept of chaotic advection was developed some twenty years ago as an outgrowth of work on advection by interacting point vortices. The term “chaotic advection” was first introduced in the title of an abstract for the 35th annual meeting of the American Physical Society (APS) Division of Fluid Dynamics (DFD) in 1982. The main reference, a Journal of Fluid Mechanics paper published in 1984, may be the true “birthdate” of the term. Earlier work from the 1960s by Arnol’d and Hénon on advection by steady three-dimensional flows already contained closely related ideas and results but was not widely appreciated. The present paper, based on the 2000 Otto Laporte Memorial Lecture delivered at the 53rd APS/DFD annual meeting, traces these and other precursors and the development of chaotic advection over the past two decades. Some exciting recent developments, such as application to fluid mixing in micro-electromechanical systems (MEMS) and to materials processing, and the introduction of topological methods of analysis, are highlighted. On balance, chaotic advection is now established as a subtopic of fluid mechanics with wide ramifications and continued promise for theory, experiment and applications. © 2002 American Institute of Physics.

© 2002 American Institute of Physics

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KEYWORDS and PACS

Keywords

convection, chaos, reviews, fluid dynamics

PACS

  • 47.52.+j

    Chaos in fluid dynamics

  • 47.27.T-

    Turbulent transport processes

  • 01.30.Rr

    Surveys and tutorial papers; resource letters

  • 05.45.-a

    Nonlinear dynamics and chaos

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.1458932

PUBLICATION DATA

ISSN

1070-6631 (print)  
1089-7666 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

For access to fully linked references, you need to log in.
    H. Aref and S. Balachandar, "Chaotic advection in a Stokes flow," Phys. Fluids 29, 3515 (1986)PFLDAS000029000011003515000001.

    R. P. Behringer, S. D. Meyers, and H. L. Swinney, "Chaos and mixing in a geostrophic flow," Phys. Fluids A 3, 1243 (1991)PFADEB000003000005001243000001.

    S. W. Jones and H. Aref, "Chaotic advection in pulsed source-sink systems," Phys. Fluids 31, 469 (1988)PFLDAS000031000003000469000001.


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