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Modelling annular micromixers

Modelling annular micromixers
Modelling annular micromixers
Magnetohydrodynamic mixing of two fluids in an annular microchannel is modelled as a two-dimensional laminar convection-diffusion problem and examined using asymptotic analysis and numerical simulation. The time T required for mixing of a plug of solute depends on the Peclet number Pe and on the geometry of the annulus. Three scaling regimes are identified: purely diffusive, Taylor-dispersive, and convection-dominated; each has a characteristic power-law dependence of T upon Pe. Consequences of these results for optimal micromixer design are discussed.
laminar mixing, convection-diffusion, asymptotic analysis, microfluidics, laminar dispersion, vortex, flow
0036-1399
1294-1310
Gelb, Anne
9236c2be-647e-44a8-974d-33799c954d75
Gleeson, James P.
a37968a8-0c14-495c-8e82-aab2e8d4dca0
West, Jonathan
f1c2e060-16c3-44c0-af70-242a1c58b968
Roche, Olivia M.
85732f28-fa0d-482a-931c-92149b1df1be
Gelb, Anne
9236c2be-647e-44a8-974d-33799c954d75
Gleeson, James P.
a37968a8-0c14-495c-8e82-aab2e8d4dca0
West, Jonathan
f1c2e060-16c3-44c0-af70-242a1c58b968
Roche, Olivia M.
85732f28-fa0d-482a-931c-92149b1df1be

Gelb, Anne, Gleeson, James P., West, Jonathan and Roche, Olivia M. (2004) Modelling annular micromixers. SIAM Journal on Applied Mathematics, 64 (4), 1294-1310. (doi:10.1137/S0036139902420407).

Record type: Article

Abstract

Magnetohydrodynamic mixing of two fluids in an annular microchannel is modelled as a two-dimensional laminar convection-diffusion problem and examined using asymptotic analysis and numerical simulation. The time T required for mixing of a plug of solute depends on the Peclet number Pe and on the geometry of the annulus. Three scaling regimes are identified: purely diffusive, Taylor-dispersive, and convection-dominated; each has a characteristic power-law dependence of T upon Pe. Consequences of these results for optimal micromixer design are discussed.

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More information

Published date: 2004
Additional Information: ISI Document Delivery No.: 831HW Times Cited: 27 Cited Reference Count: 16 Gleeson, JP Roche, OM West, J Gelb, A Siam publications Philadelphia
Keywords: laminar mixing, convection-diffusion, asymptotic analysis, microfluidics, laminar dispersion, vortex, flow
Organisations: Cancer Sciences

Identifiers

Local EPrints ID: 346430
URI: http://eprints.soton.ac.uk/id/eprint/346430
ISSN: 0036-1399
PURE UUID: 13905311-1134-42c1-b835-5a9f36fe9b6a
ORCID for Jonathan West: ORCID iD orcid.org/0000-0002-5709-6790

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Date deposited: 26 Feb 2013 13:48
Last modified: 15 Mar 2024 03:43

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Contributors

Author: Anne Gelb
Author: James P. Gleeson
Author: Jonathan West ORCID iD
Author: Olivia M. Roche

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