Design of microfluidic slug mixing based on the correlation between a dimensionless mixing rate and a modified Peclet number

Wiroon Tanthapanichakoon, Kazuo Matsuyama, Nobuaki Aoki, Kazuhiro Mae

    Research output: Contribution to journalArticle

    13 Citations (Scopus)

    Abstract

    A method to design mixing in microfluidic slugs using a modified Peclet number, Pe* = Us ds2 / lD, has been reported by the authors, but it was limited to mixing at constant diffusivity D. This paper reports an improved method to quantitatively determine the effect of D on a relation between Pe* and mixing rates. Computational fluid dynamics (CFD) simulations were used for the investigation. We introduce D into the mixing rate term in the relation between Pe* and mixing rates, and found that (mixing rate × ds2 / D) becomes a function of only Pe*. Thus, slug mixing can be designed using the new dimensionless number, (mixing rate × ds2 / D), and Pe*. This allows us to use mixing rate data at any value of D to estimate mixing rates at another value of D. Though Pe* includes effects of D, l, ds, and Us, effects of initial arrangements of reactants inside a slug and slug cross-sectional shapes are not considered. Thus, the relations between (mixing rate × ds2 / D) and Pe* (referred as Pe* correlation) are quantitatively determined to cover the effects of these parameters. Furthermore, we used the Pe* correlation to show theoretically that channel contraction is an effective microfluidic operation to enhance mixing in slugs.

    Original languageEnglish
    Pages (from-to)7386-7392
    Number of pages7
    JournalChemical Engineering Science
    Volume61
    Issue number22
    DOIs
    Publication statusPublished - 2006 Nov 20

    Keywords

    • CFD simulation
    • Laminar flow
    • Mixing
    • Mixing enhancement by channel contraction
    • Modified Peclet number
    • Multiphase flow

    ASJC Scopus subject areas

    • Chemistry(all)
    • Chemical Engineering(all)
    • Industrial and Manufacturing Engineering

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