Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 30685
Electrophoretic Motion of a Liquid Droplet within an Uncharged Cylindrical Pore

Authors: Cheng-Hsuan Huang, Eric Lee


Electrophoretic motion of a liquid droplet within an uncharged cylindrical pore is investigated theoretically in this study. It is found that the boundary effect in terms of the reduction of droplet mobility (droplet velocity per unit strength of the applied electric field) is very significant when the double layer surrounding the droplet is thick, and diminishes as it gets very thin. Moreover, the viscosity ratio of the ambient fluid to the internal one, σ, is a crucial factor in determining its electrophoretic behavior. The boundary effect is less significant as the viscosity ratio gets high. Up to 70% mobility reduction is observed when this ratio is low (σ = 0.01), whereas only 40% reduction when it is high (σ = 100). The results of this study can be utilized in various fields of biotechnology, such as a biosensor or a lab-on-a-chip device.

Keywords: Electrophoresis, Lab-On-A-Chip, Cylindrical pore, Liquid droplet

Digital Object Identifier (DOI):

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1207


[1] Stone, H. A., and Kim, S., "Microfluidics: basic issues, applications, and challenges," Aiche J., vol. 47, 2001, pp. 1250-1254.
[2] Rouhi, A. M., "Microreactors eyed for industrial use," Chem. Eng. News, vol. 82, 2004, pp. 18-19.
[3] Vilkner, T., Janasek, D., and Manz, A., "Micro total analysis systems. Recent developments," Anal. Chem., vol. 76, 2004, pp. 3373-3386.
[4] van. den Berg A. and Lammerink TSJ., Micro total analysis systems: microfluidic aspects, integration concept and applications. Berlin: Springer-Verlag, 1998, pp. 21-49.
[5] Manz A., Graber N., and Widmer H. M., "Miniaturized total chemical analysis systems: a novel concept for chemical sensing, "Sens Actuators B Chem., vol. 1, 1990, pp. 244.
[6] Utada AS, Lorenceau E, Link DR, Kaplan PD, Stone H. A., and Weitz D. A., "Monodisperse double emulsions generated from a microcapillary device," Science, vol. 308, 2005, pp. 537.
[7] Joanicot M., and Ajdari A, "Applied physics: droplet control for microfluidics," Science, vol. 309, 2005, pp. 887.
[8] Dendukuri D., Tsoi K., Hatton T.A., and Doyle P.S., "Controlled Synthesis of Non-Spherical Microparticles Using Microfluidics," Langmuir, vol. 21, 2005, pp. 2113-2116.
[9] Gunther A., Khan S. A., Thalmann M., Trachsel F., and Jensen K. F., "Transport and reaction in microscale segmented gas-Vliquid flow," Lab Chip, vol.4, 2004, pp. 278.
[10] Linder V., Sia S. K., and Whitesides G. M., "Reagent-loaded cartridges for valveless and automated fluid delivery in microfluidic devices," Anal Chem., vol.77, 2005, pp. 64.
[11] Shestopalov I., Tice J. D., and Ismagilov R. F., "Multi-step synthesis of nanoparticles performed on millisecond time scale in a microfluidic droplet-based system," Lab Chip, vol.4, 2004, pp. 316.
[12] Parikesit, and G. Gildeprint Drukkerijen B.V., "Nanofluidic electrokinetics," 2008.
[13] Booth F., "The cataphoresis of spherical fluid droplets in electrolytes," J. Chem. Phys., vol.19, 1951, pp. 1331-1342.
[14] Levine S., and O-Brien R. N., "A theory of electrophoresis of charged mercury drops in aqueous electrolyte solution," J. Colloid Interface Sci., vol.43, 1973, pp. 616-629.
[15] Baygents J. C., and Saville D. A., "Electrophoresis of drops and bubbles," J. Chem. Soc., Faraday Trans. vol.87, 1991, pp. 1883-1898.
[16] Baygents J. C., and Saville D. A., "Electrophoresis of small particles and fluid globules in weak electrolytes," J. Colloid Interface Sci., vol.146, 1991, pp. 9-37.
[17] Ohshima H. J., "Electrokinetic phenomena in a concentrated dispersion of charged mercury drops," Colloid Interface Sci., vol.218, 1999, pp. 535-544.
[18] Eric Lee, Jui-Der Kao, and Jyh-Ping Hsu, "Electrophoresis of a nonrigid entity in a spherical cavity," J. Phys. Chem. B, vol.106, 2002, pp. 8790-8795.
[19] Lee E., Fu C.H., and Hsu J.P., "Dynamic Electrophoretic Mobility of a Concentrated Dispersion of Particles with a Charge-Regulated Surface at Arbitrary Potential," J. Colloid Interface Sci., vol.250, 2002, pp. 327-336.
[20] Keh H. J., and Anderson J. L., "Electrophoresis of a colloidal sphere in a circular cylindrical pore," J. Fluid Mech., vol.153, 1985, pp. 417−439.
[21] Ennis J., and Anderson J. L., "Boundary effects on electrophoretic motion of spherical particles for thick double layers and low zeta potential," J. Colloid Interface Sci., vol.185, 1997, pp. 497−514.
[22] Shugai A., and Carnie S., "Electrophoretic motion of a spherical particle with a thick double layer in bounded flows," J. Colloid Interface Sci., vol.213, 1999, pp. 298−315.
[23] Teubner M., "The motion of charged colloidal particles in electric fields," J. Chem. Phys., vol.76, 1982, pp. 5564−5573.
[24] Hsu J., and Chen Z., "Electrophoresis of a sphere along the axis of a cylindrical pore: effects of double-Layer polarization and electroosmotic flow," Langmuir, vol.23, 2007, pp. 6198−6204.
[25] Happel J., and Brenner H., Low Reynolds number hydrodynamics. M. Nijhoff Boston, 1983.
[26] Hussaini M., and Zang T., "pectral methods in fluid dynamics," Annu. Rev. Fluid Mech., vol.19, 1987, pp. 339-367.
[27] Von Smoluchowski, "Versuch einer mathematischen theorie der koagulationskinetik kolloider losungen," Z. Phys. Chem., vol.92, 1917, pp. 129-168.
[28] O'Brien, R. W., and White, L. R., "Electrophoretic mobility of a spherical colloidal particle," J. Chem. Soc., Faraday Trans., vol.74, 1978, pp. 1607-1626.