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Appl. Phys. Lett. 100, 041907 (2012); http://dx.doi.org/10.1063/1.3678037 (5 pages)

A mathematical model of mixing enhancement in microfluidic channel with a constriction under periodic electro-osmotic flow

Zhongbin Xu1, Yue Yang1, Damien Vadillo2, Xiaodong Ruan3, and Xin Fu3

1Institute of Process Equipment, Department of Chemical Engineering and Biochemical Engineering, Zhejiang University, Hangzhou 310027, China
2Department of Chemical Engineering and Biotechnology, University of Cambridge, Cambridge CB2 3RA, United Kingdom
3The State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, China

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(Received 7 October 2011; accepted 20 December 2011; published online 26 January 2012)

A microfluidic channel with a constriction produced poor mixing conditions under periodic electro-osmotic flow. However, the mixing performance may be enhanced significantly by altering other parameters. Numerical simulations are used to investigate the effect of the direct current electric field (EDC), phase difference (ϕ), and length of constriction (L). A mathematical model, based on the structural features of the Lagrange function rather than its application, is proposed to establish a relationship between the mixing performance and these three parameters. The feasibility analysis has been carried out, and the results are verified by the data from simulation and experiment.

© 2012 American Institute of Physics

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KEYWORDS, PACS, and IPC

PACS

  • 47.65.-d

    Magnetohydrodynamics and electrohydrodynamics

  • 82.45.-h

    Electrochemistry and electrophoresis

  • 47.60.Dx

    Flows in ducts and channels

  • 02.60.Cb

    Numerical simulation; solution of equations

  • 47.11.-j

    Computational methods in fluid dynamics

  • 47.51.+a

    Mixing

International Patent Classification (IPC)

  • B01D57/02

    By electrophoresis

  • B01F3/00

    Mixing, e.g. dispersing, emulsifying, according to the phases to be mixed

  • C25

    Electrolytic or electrophoretic processes; Apparatus therefor

ARTICLE DATA

PUBLICATION DATA

ISSN

0003-6951 (print)  
1077-3118 (online)

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