Chaotic advection in a three-dimensional volume preserving potential flow

L. D. Smith, D. R. Lester, G. Metcalfe

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3 Citations (Scopus)


Scalar transport in a time-periodic 3D incompressible potential flow is studied in the context of Lagrangian chaos in a reoriented 3D dipole flow. A mixture of chaotic dynamics and regular KAM-tubes are observed, and particles reside on adiabatic surfaces rather than invariant surfaces. The factors controlling the adiabatic surfaces are investigated, for instance the presence of hyperbolic periodic points acts as a local accelerant to dynamics, yet also forms a barrier to transport. The adiabatic surfaces provide a mechanism for 3D scalar transport and the possibility of global chaos.

Original languageEnglish
Title of host publicationProceedings of the 18th Australasian Fluid Mechanics Conference, AFMC 2012
Subtitle of host publicationLaunceston, Australia; 3-7 December 2012
EditorsP A Brandner, B W Pearce
Place of PublicationAustralia
PublisherAustralasian Fluid Mechanics Society
Number of pages4
ISBN (Electronic)9780646583730
Publication statusPublished - 2012
EventAustralasian Fluid Mechanics Conference 2012 - University of Tasmania (Newnham Campus), Launceston, Australia
Duration: 3 Dec 20127 Dec 2012
Conference number: 18th


ConferenceAustralasian Fluid Mechanics Conference 2012
Abbreviated titleAFMC 2012
OtherThe 18th AFMC is to be the 1st of a series which will be held every 2 years by The Australasian Fluid Mechanics Society.
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