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Taylor dispersion in shallow micro-channels: aspect ratio effect

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Abstract

We consider the axial dispersion of a liquid flowing through a micro-channel, which has a slender shallow cross-section. A lubrication approximation allows for an analytical analysis of the effect of cross-section and aspect ratio on the dispersion process. Numerical simulations are performed in order to verify the approximate solution.

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References

  • Ajdari A, Bontoux N, Stone HA (2006) Hydrodynamic dispersion in shallow microchannels: the effect of cross-sectional shape. Anal Chem 78:387–392

    Article  Google Scholar 

  • Danckwerts PV (1953) Continuous flow systems. Chem Eng Sci 2:1–13

    Article  Google Scholar 

  • Hassell DG, Zimmerman W (2006) Investigation of the convective motion through a staggered herringbone micromixer at low Reynolds number conditions. Chem Eng Sci 61:2977–2985

    Article  Google Scholar 

  • Levenspiel O (1972) Chemical reaction engineering. Wiley, New York

    Google Scholar 

  • MacInnes JM, Vikhansky A, Allen RWK (2007) Numerical characterisation of folding flow microchannel mixers. Chem Eng Sci 62:2718–2727

    Article  Google Scholar 

  • Nguyen N-T, Wu Z (2005) Micromixers—a review. J Micromech Microeng 15:R1–R16

    Article  Google Scholar 

  • Pennemann H, Watts P, Haswell S, Hessel V, Löwe H (2004) Benchmarking of microreactor applications. Org Process Res Dev 8:422–439

    Article  Google Scholar 

  • Rosencrans S (1997) Taylor dispersion in curved channels. SIAM J Appl Math 5:1216–1241

    Article  MathSciNet  Google Scholar 

  • Stone HA, Strook AD, Ajdari A (2004) Engineering flows in small devices: Microfluidics toward a lab-on-a-chip. Annu Rev Fluid Mech 36:381–411

    Article  Google Scholar 

  • Taylor GI (1953) Dispersion of soluble matter in solvent flowing through a tube. Proc R Soc Lond A 219:186–203

    Article  Google Scholar 

  • Vikhansky A (2003) A new modification of the immersed boundaries method for fluid-solid flows: moderate Reynolds numbers. J Comput Phys 191:328–339

    Article  MATH  Google Scholar 

  • Vikhansky A (2008) Effect of diffusion on residence time distribution in chaotic channel flow. Chem Eng Sci 63:1866–1870

    Article  Google Scholar 

  • Ward T, Faivre M, Abkarian M, Stone HA (2005) Microfluidic flow focusing: drop size and scaling in pressure versus flow-rate-driven pumping. Electrophoresis 26:3716–3724

    Article  Google Scholar 

  • Zimmerman W (2004) On the resistance of a spherical particle settling in a tube of viscous fluid. Int J Eng Sci 42:1753–1778

    Article  MathSciNet  Google Scholar 

Download references

Acknowledgment

The author thanks Alastair Smith for useful comments.

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Correspondence to A. Vikhansky.

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Vikhansky, A. Taylor dispersion in shallow micro-channels: aspect ratio effect. Microfluid Nanofluid 7, 91–95 (2009). https://doi.org/10.1007/s10404-008-0366-5

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  • DOI: https://doi.org/10.1007/s10404-008-0366-5

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