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Proceedings Paper

Lagrangian topology of reoriented potential flows
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Paper 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.

Paper Details

Date Published: 30 December 2008
PDF: 12 pages
Proc. SPIE 7270, Biomedical Applications of Micro- and Nanoengineering IV and Complex Systems, 727013 (30 December 2008);
Show Author Affiliations
Daniel Lester, Commonwealth Scientific and Industrial Research Organisation (Australia)
Guy Metcalfe, Commonwealth Scientific and Industrial Research Organisation (Australia)


Published in SPIE Proceedings Vol. 7270:
Biomedical Applications of Micro- and Nanoengineering IV and Complex Systems
Dan V. Nicolau; Guy Metcalfe, Editor(s)

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