Developing pressure-driven liquid flow in microchannels under the electrokinetic effect

X. Y. Chen, K. C. Toh, J. C. Chai, C. Yang

Research output: Contribution to journalArticle

42 Citations (Scopus)

Abstract

A mathematical model is developed to study the electrokinetic effect on liquid developing flow in a parallel slit including the general Nernst-Planck equation describing anion and cation distributions, the Poisson equation determining the electrical potential profile, and the modified Navier-Stokes equation governing the velocity flow field. Since these three equations are coupled, a numerical scheme based on the finite volume method is utilized to iteratively solve the proposed model. A new expression for the streaming potential in the case of the developing flow status is derived. The characteristics of the pressure-driven flow in the presence of the electrokinetic effect are examined.

Original languageEnglish
Pages (from-to)609-622
Number of pages14
JournalInternational Journal of Engineering Science
Volume42
Issue number5-6
Early online date13 Nov 2003
DOIs
Publication statusPublished - Mar 2004
Externally publishedYes

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Poisson equation
Finite volume method
Microchannels
Navier Stokes equations
Anions
Cations
Flow fields
Negative ions
Positive ions
Mathematical models
Liquids

Cite this

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title = "Developing pressure-driven liquid flow in microchannels under the electrokinetic effect",
abstract = "A mathematical model is developed to study the electrokinetic effect on liquid developing flow in a parallel slit including the general Nernst-Planck equation describing anion and cation distributions, the Poisson equation determining the electrical potential profile, and the modified Navier-Stokes equation governing the velocity flow field. Since these three equations are coupled, a numerical scheme based on the finite volume method is utilized to iteratively solve the proposed model. A new expression for the streaming potential in the case of the developing flow status is derived. The characteristics of the pressure-driven flow in the presence of the electrokinetic effect are examined.",
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Developing pressure-driven liquid flow in microchannels under the electrokinetic effect. / Chen, X. Y.; Toh, K. C.; Chai, J. C.; Yang, C.

In: International Journal of Engineering Science, Vol. 42, No. 5-6, 03.2004, p. 609-622.

Research output: Contribution to journalArticle

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AU - Chen, X. Y.

AU - Toh, K. C.

AU - Chai, J. C.

AU - Yang, C.

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