Abstract
Dispersion in time-oscillatory electro-osmotic flows in a slit micro-channel under the effect of kinetic sorptive exchange at walls is theoretically investigated using the homogenization method. The two walls of the channel are considered to be made up of different materials, and therefore have different zeta potentials and sorption coefficients. A general expression for the Taylor dispersion coefficient under different zeta potentials as well as various sorption conditions at the walls is derived analytically. The dispersion coefficient is found to be dependent on the oscillation frequency, the Debye parameter, the species partition coefficient, the reaction kinetics and the ratio of the wall potentials. The results demonstrate that the presence of wall sorption tends to enhance the dispersion when the oscillation frequency is low, but the effect is negligible in high-frequency oscillatory flows. Moreover, it is found that the dispersion coefficient could be significantly changed by adjusting the relative wall potentials for low-frequency flows.
Similar content being viewed by others
References
MCELDOON J. P., DATTA R. Analytical solution for dispersion in capillary liquid chromatography with electroosmotic flow[J]. Analytical Chemistry, 1992, 64(2): 227–230.
GRIFFITHS S. K., NILSON R. H. Hydrodynamic dispersion of a neutral nonreacting solute in electroosmotic flow[J]. Analytical Chemistry, 1999, 71(24): 5522–5529.
ANDREEV V. P., LISIN E. E. Investigation of the electroosmotic flow effect on the efficiency of capillary electrophoresis[J]. Electrophoresis, 1992, 13(11): 832–837.
GAS B., STEDRY M. and KENNDLER E. Contribution of the electroosmotic flow to peak broadening in capillary zone electrophoresis with uniform zeta potential[ J]. Journal of Chromatography A, 1995, 709(1): 63–68.
GRIFFITHS S. K., NILSON R. H. Electroosmotic fluid motion and latetime solute transport for large zeta potentials[ J]. Analytical Chemistry, 2000, 72(20): 4767–4777.
ZHOLKOVSKIJ E. K., MASLIYAH J. H. Hydrodynamic dispersion due to combined pressure-driven and electroosmotic flow through microchannels with a thin double layer[J]. Analytical Chemistry, 2004, 76(10): 2708–2718.
ZHANG Kai. LIN Jian-zhong. The effect of temperature distribution on the mass species transport in microchannels driven by electroosmosis[J]. Journal of Hydrodynamics, Ser. B, 2006, 18(3): 65–70.
ARIS R. On the dispersion of a solute in pulsating flow through a tube[J]. Proceedings of the Royal Society of London, Series A-Mathematical and Physical Sciences, 1960, 259(1298): 370–376.
CHATWIN P. C. Longitudinal dispersion of passive contaminant in oscillatory flows in tubes[J]. Journal of Fluid Mechanics, 1975, 71: 513–527.
WATSON E. J. Diffusion in oscillatory pipe-flow[J]. Journal of Fluid Mechanics, 1983, 133: 233–244.
HUANG H. F., LAI C. L. Enhancement of mass transport and separation of species by oscillatory electroosmotic flows[J]. Proceedings of the Royal Society A, 2006, 462(2071): 2017–2038.
WANG Lei and WU Jian-kang. Periodical pressure-driven flows in microchannel with wall slip velocity and electro-viscous effect[J]. Journal of Hydrodynamics, 2010, 22(6): 829–837.
KUO C. Y., WANG C. Y. and CHANG C. C. Generation of directional EOF by interactive oscillatory zeta potential[J]. Electrophoresis, 2008, 29(21): 4386–4390.
PAUL S. and NG C. O. Dispersion in electroosmotic flow generated by oscillatory electric field interacting with oscillatory wall potentials[J]. Microfluidics Nanofluidics, 2012, 12(1-4): 237–256.
MISRA J. C., CHANDRA S. Electro-osmotic flow of a second-grade fluid in a porous microchannel subject to an AC electric field[J]. Journal of Hydrodynamics, 2013, 25(2): 309–316.
GHOSAL S. Effect of analyte adsorption on the electroosmotic flow in microfluidic channels[J]. Analytical Chemistry, 2002, 74(4): 771–775.
GHOSAL S. The effect of wall interactions in capillaryzone electrophoresis[J]. Journal of Fluid Mechanics, 2003, 491: 285–300.
RAMON G., AGNON Y. and DOSORETZ C. Solute dispersion in oscillating electroosmotic flow with boundary mass exchange[J]. Microfluidics Nanofluidics, 2011, 10(1): 97–106.
NG C. O. Dispersion in steady and oscillatory flows through a tube with reversible and irreversible wall reactions[ J]. Proceedings of the Royal Society A, 2006, 462(2066): 481–515.
Author information
Authors and Affiliations
Corresponding author
Additional information
Project supported by the Research Grants Council of the Hong Kong Special Administrative Region, China (Grant No. HKU 715510E).
Biography: SONG Jie (1988-), Female, Ph. D. Candidate
Rights and permissions
About this article
Cite this article
Song, J., Ng, CO. & Law, WK.A. Dispersion in oscillatory electro-osmotic flow through a parallel-plate channel with kinetic sorptive exchange at walls. J Hydrodyn 26, 363–373 (2014). https://doi.org/10.1016/S1001-6058(14)60041-X
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1016/S1001-6058(14)60041-X