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.
|Title of host publication
|Proceedings of the 18th Australasian Fluid Mechanics Conference, AFMC 2012
|Subtitle of host publication
|Launceston, Australia; 3-7 December 2012
|P A Brandner, B W Pearce
|Place of Publication
|Australasian Fluid Mechanics Society
|Number of pages
|Published - 2012
|Australasian Fluid Mechanics Conference 2012 - University of Tasmania (Newnham Campus), Launceston, Australia
Duration: 3 Dec 2012 → 7 Dec 2012
Conference number: 18th
|Australasian Fluid Mechanics Conference 2012
|3/12/12 → 7/12/12
|The 18th AFMC is to be the 1st of a series which will be held every 2 years by The Australasian Fluid Mechanics Society.