Developing electro-osmotic flow in closed-end micro-channels

Marcos, K. T. Ooi, C. Yang, J. C. Chai, T. N. Wong

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

This paper reports a numerical study on the steady state developing electro-osmotic flow in closed-end cylindrical micro-channels. To simulate the flow, a mathematical model, which includes the Poisson-Boltzmann equation describing the electrical distribution and the modified two-dimensional Navier-Stokes equations governing the velocity field, is presented. The governing equations are discretized using the control volume integration method, and the staggered grid system is utilized to solve the Navier-Stokes equations. The results of the spatial development of the flow field and the pressure distributions along the micro-channel are presented. Parametric studies of the effects of the channel size and electric field strength on electro-osmotic flows in closed-end micro-channels are conducted. It is found that the length of the developing region is only dependent on the radius of the channel, and the induced backpressure gradient, though is present in the entire channel, varies only in the developing region. In addition, the numerical simulations have been validated with the analytical solutions in the fully developed region.

Original languageEnglish
Pages (from-to)1349-1362
Number of pages14
JournalInternational Journal of Engineering Science
Volume43
Issue number17-18
DOIs
Publication statusPublished - 1 Nov 2005
Externally publishedYes

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Navier Stokes equations
Boltzmann equation
Pressure distribution
Flow fields
Electric fields
Mathematical models
Computer simulation

Cite this

Marcos ; Ooi, K. T. ; Yang, C. ; Chai, J. C. ; Wong, T. N. / Developing electro-osmotic flow in closed-end micro-channels. In: International Journal of Engineering Science. 2005 ; Vol. 43, No. 17-18. pp. 1349-1362.
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Developing electro-osmotic flow in closed-end micro-channels. / Marcos; Ooi, K. T.; Yang, C.; Chai, J. C.; Wong, T. N.

In: International Journal of Engineering Science, Vol. 43, No. 17-18, 01.11.2005, p. 1349-1362.

Research output: Contribution to journalArticle

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AU - Marcos,

AU - Ooi, K. T.

AU - Yang, C.

AU - Chai, J. C.

AU - Wong, T. N.

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N2 - This paper reports a numerical study on the steady state developing electro-osmotic flow in closed-end cylindrical micro-channels. To simulate the flow, a mathematical model, which includes the Poisson-Boltzmann equation describing the electrical distribution and the modified two-dimensional Navier-Stokes equations governing the velocity field, is presented. The governing equations are discretized using the control volume integration method, and the staggered grid system is utilized to solve the Navier-Stokes equations. The results of the spatial development of the flow field and the pressure distributions along the micro-channel are presented. Parametric studies of the effects of the channel size and electric field strength on electro-osmotic flows in closed-end micro-channels are conducted. It is found that the length of the developing region is only dependent on the radius of the channel, and the induced backpressure gradient, though is present in the entire channel, varies only in the developing region. In addition, the numerical simulations have been validated with the analytical solutions in the fully developed region.

AB - This paper reports a numerical study on the steady state developing electro-osmotic flow in closed-end cylindrical micro-channels. To simulate the flow, a mathematical model, which includes the Poisson-Boltzmann equation describing the electrical distribution and the modified two-dimensional Navier-Stokes equations governing the velocity field, is presented. The governing equations are discretized using the control volume integration method, and the staggered grid system is utilized to solve the Navier-Stokes equations. The results of the spatial development of the flow field and the pressure distributions along the micro-channel are presented. Parametric studies of the effects of the channel size and electric field strength on electro-osmotic flows in closed-end micro-channels are conducted. It is found that the length of the developing region is only dependent on the radius of the channel, and the induced backpressure gradient, though is present in the entire channel, varies only in the developing region. In addition, the numerical simulations have been validated with the analytical solutions in the fully developed region.

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