The European Physical Journal Special Topics

, Volume 171, Issue 1, pp 189–194 | Cite as

A complete numerical model for electrokinetic flow and species transport in microchannels

  • Z. ShaoEmail author
  • C. L. Ren
  • G. E. Schneider


A theoretical model is developed to investigate electrokinetic driven fluid flow and species transport. A typical cross-channel geometry is chosen with applications of species on-chip injection-separation analysis. The electrical potential, fluid flow and species concentration fields are presented in detail. These governing equations are non-dimensionalized uniquely to identify the controlling factors in microchannel performance. For the unsteady species transport equation, two different non-dimensionalization methods are compared. A preferred way to non-dimensionalize time in the concentration transport equation provides superior insight and understanding. Using a non-uniform staggered grid, a finite control volume method and line-by-line iterative procedure are implemented for the simulations. The Semi Implicit Method for Pressure Linked Equations (SIMPLE) algorithm is employed to solve the discrete equations. Grid independence and convergence studies are performed.


European Physical Journal Special Topic Species Transport Control Volume Method Sample Plug Electroosmotic Velocity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. P.S. Dittrich, K. Tachikawa, A. Manz, Anal. Chem. 78, 3887 (2006)Google Scholar
  2. D.J. Harrison, K. Fluri, K. Seiler, et al., Science 261, 895 (1993)Google Scholar
  3. C.D. Thomas, S.C. Jacobson, J.M. Ramsey, Anal. Chem. 76, 6053 (2004)Google Scholar
  4. I.L. Medintz, B.M. Paegel, R.G. Blazej, et al., Electrophoresis 22, 3845 (2001)Google Scholar
  5. C.H. Tsai, R.J. Yang, C.H. Tai, et al., Electrophoresis 26, 674 (2005)Google Scholar
  6. S.V. Ermakov, S.C. Jacobson, J.M. Ramsey, Anal. Chem. 72, 3512 (2000)Google Scholar
  7. D. Erickson, Microfluid Nanofluid. 1, 301 (2005)Google Scholar
  8. N.A. Patankar, H.H. Hu, Anal. Chem. 70, 1870 (1998)Google Scholar
  9. Z. Shao, G.E. Schneider, C.L. Ren, ASME: IMECE-41276 (2007)Google Scholar

Copyright information

© EDP Sciences and Springer 2009

Authors and Affiliations

  1. 1.Department of Mechanical and Mechatronics EngineeringUniversity of Waterloo 200 University Avenue WestWaterlooCanada

Personalised recommendations