Lagrangian topology of reoriented potential flows

Daniel Lester; Guy Metcalfea

doi:10.1117/12.815265

Lagrangian topology of reoriented potential flows

Daniel Lester, Guy Metcalfea

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research › peer-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 language	English
Title of host publication	Biomedical Applications of Micro- and Nanoengineering IV and Complex Systems
Pages	727013
Number of pages	1
Volume	7270
DOIs	https://doi.org/10.1117/12.815265
Publication status	Published - 2009
Externally published	Yes
Event	Biomedical Applications of Micro- and Nanoengineering IV and Complex Systems 2008 - RMIT, Melbourne Australia, Melbourne, VIC, Australia Duration: 10 Dec 2008 → 12 Dec 2008

Conference

Conference	Biomedical Applications of Micro- and Nanoengineering IV and Complex Systems 2008
Country/Territory	Australia
City	Melbourne, VIC
Period	10/12/08 → 12/12/08

Keywords

Lagrangian chaos
Parametric variation
Potential flow

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10.1117/12.815265

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title = "Lagrangian topology of reoriented potential flows",

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.",

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AU - Lester, Daniel

AU - Metcalfea, Guy

PY - 2009

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AB - 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.

KW - Lagrangian chaos

KW - Parametric variation

KW - Potential flow

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U2 - 10.1117/12.815265

DO - 10.1117/12.815265

M3 - Conference Paper

AN - SCOPUS:67149138174

SN - 9780819475220

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SP - 727013

BT - Biomedical Applications of Micro- and Nanoengineering IV and Complex Systems

T2 - Biomedical Applications of Micro- and Nanoengineering IV and Complex Systems 2008

Y2 - 10 December 2008 through 12 December 2008

ER -

Lagrangian topology of reoriented potential flows

Abstract

Conference

Keywords

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