Beyond passive: chaotic transport in stirred fluids

Guy Metcalfe, Michel F M Speetjens, Daniel Robert Lester, H.J.H Clercx

Research output: Chapter in Book/Report/Conference proceedingChapter (Book)Researchpeer-review

36 Citations (Scopus)


We review selected recent developments on the role of chaotic advection in the dynamics of nonpassive particles. This topic is fundamental to understanding or controlling transport of energy and mass in laminar flows and in turbulent flows possessing long-lived coherent structures, and is finding applications in many areas of mechanical, chemical, and biological engineering. To this end, we provide a general framework for description of particle motion in both discrete and continuum representations. Nonpassive behavior addressed includes particle inertia, self-propulsion, diffusion due to Brownian motion and reactive particles, in particular in relation to chaotic advection. This review makes no attempt at an exhaustive overview of the dynamics of nonpassive particles, but instead concentrates on a number of cases we believe are illustrative for the field. Its primary purpose therefore is to provide an extensive introduction for young researchers and nonexpert scientists that may serve as a starting point for further studies.
Original languageEnglish
Title of host publicationAdvances in Applied Mechanics
EditorsErik van der Giessen, Hassan Aref, Herman J H Clercx, Michel F M Speetjens
Place of PublicationSan Diego CA USA
PublisherAcademic Press
Number of pages80
ISBN (Print)9780123808769
Publication statusPublished - 2012
Externally publishedYes

Publication series

NameAdvances in Applied Mechanics
PublisherAcademic Press
ISSN (Print)0065-2156


  • Advection-Diffusion-Reaction systems
  • Chaotic advection
  • Chaotic transport
  • Eigenmode analysis
  • Inertial particles
  • Non-passive particles
  • Self-propulsion
  • Stirring and mixing

Cite this