Lagrangian topology of reoriented potential flows

Daniel Lester, Guy Metcalfea

Research output: Chapter in Book/Report/Conference proceedingConference PaperResearchpeer-review

3 Citations (Scopus)

Abstract

Scalar transport in closed potential flows is investigated for the specific case of a periodically reoriented dipole flow. For scalar advection, Lagrangian chaos can be achieved with breakdown of the regular Hamiltonian structure, which is governed by symmetry conditions imposed by the dipole flow. Instability envelopes associated with period-doubling bifurcations of fixed points govern which regions of the flow control parameter space admits global chaos. These are further refined via calculation of Lyapunov exponents. These results suggest significant scalar transport enhancement is possible within potential flows, given appropriate programming of stirring protocols.

Original languageEnglish
Title of host publicationBiomedical Applications of Micro- and Nanoengineering IV and Complex Systems
Pages727013
Number of pages1
Volume7270
DOIs
Publication statusPublished - 2009
Externally publishedYes
EventBiomedical Applications of Micro- and Nanoengineering IV and Complex Systems - RMIT, Melbourne Australia, Melbourne, VIC, Australia
Duration: 10 Dec 200812 Dec 2008

Conference

ConferenceBiomedical Applications of Micro- and Nanoengineering IV and Complex Systems
CountryAustralia
CityMelbourne, VIC
Period10/12/0812/12/08

Keywords

  • Lagrangian chaos
  • Parametric variation
  • Potential flow

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