Modelling annular micromixers

James P. Gleeson, Olivia M. Roche, Jonathan West, Anne Gelb

Research output: Contribution to journalReview article

46 Scopus citations

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 Péclet 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.

Original languageEnglish (US)
Pages (from-to)1294-1310
Number of pages17
JournalSIAM Journal on Applied Mathematics
Volume64
Issue number4
DOIs
StatePublished - Apr 1 2004

Keywords

  • Asymptotic analysis
  • Convection-diffusion
  • Laminar mixing
  • Microfluidics

ASJC Scopus subject areas

  • Applied Mathematics

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    Gleeson, J. P., Roche, O. M., West, J., & Gelb, A. (2004). Modelling annular micromixers. SIAM Journal on Applied Mathematics, 64(4), 1294-1310. https://doi.org/10.1137/S0036139902420407