Skip to main content
Log in

Transient simulations of the electrophoretic motion of a cylindrical particle through a 90° corner

  • Research Paper
  • Published:
Microfluidics and Nanofluidics Aims and scope Submit manuscript

Abstract

The trajectory of a cylindrical particle driven by electrophoresis was transiently simulated as the particle moves through a 90° corner. A variety of system parameters were tested to determine their impact on the particle motion. The zeta potential, channel width, and particle aspect ratio were shown to have a minimal effect on the particle motion. Conversely, the initial vertical position of the particle and initial angle with respect to the horizontal had a significant impact on the particle motion. The presence of the 90° corner acts to reduce the initial distribution of angles to the vertical of 90° to less than 30°, demonstrating the possibility of using a corner as a passive control element as part of a larger microfluidic system. However, the reduction in angle is limited to the area near the corner posing a limitation on this means of control.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

References

  • Appell D (2002) Nanotechnology: wired for success. Nature 419:553–555

    Article  Google Scholar 

  • Beckman R, Johnston-Halperin E, Luo Y, Green J, Heath J (2005) Bridging dimensions: demultiplexing ultrahigh-density nanowire circuits. Science 310:465–468

    Article  Google Scholar 

  • Davison S and Sharp K (2006) Boundary effects on the electrophoretic motion of cylindrical particles: concentrically and eccentrically positioned particles in a capillary. J Colloid Interface Sci 303(1):288–297

    Article  Google Scholar 

  • Davison S, Sharp K (2007) Transient electrophoretic motion of cylindrical particles in capillaries. Nanoscale Microscale Thermophys Eng 11:71–83

    Article  Google Scholar 

  • Evoy S, DiLello N, Deshpande V, Varayanan A, Liu H, Riegelman M, Martin B, Hailer B, Bradley JC, Weiss W, Mayer T, Gogotsi Y, Bau H, Mallouk T, and Raman S (2004) Dielectrophoretic assembly and integration of nanowire devices with functional CMOS operating circuitry. Microelectron Eng 75:31–42

    Article  Google Scholar 

  • Greytak A, Barrelet C, Li Y, and Lieber C (2005) Semiconductor nanowire laser and nanowire waveguide electro-optic modulators. Appl Phys Lett 87:151103

    Article  Google Scholar 

  • Hamers R, Beck J, Eriksson M, Li B, Marcus M, Shang L, Simmons J, and Streifer J (2006) Electrically directed assembly and detection of nanowire bridges in aqueous media. Nanotechnology 17:S280–S286

    Article  Google Scholar 

  • Hughes M (2000) AC electrokinetics: applications for nanotechnology. Nanotechnology 11:124–132

    Article  Google Scholar 

  • Keh H, Anderson J (1985) Boundary effects on electrophoretic motion of colloidal spheres. J Fluid Mech 153:417–439

    Article  MATH  Google Scholar 

  • Liddell C, Summers C (2004) Nonspherical ZnS colloidal building blocks for three-dimensional photonic crystals. J Colloid Interface Sci 274:103–106

    Article  Google Scholar 

  • Liu H, Bau H, Hu H (2004) Electrophoresis of concentrically and eccentrically positioned cylindrical particles in a long tube. Langmuir 20:2628–2639

    Article  Google Scholar 

  • Park S, Chung SW, and Mirkin C (2004) Hybrid organic-inorganic, rod-shaped nanoresistors and diodes. J Am Chem Soc 126:11772–11773

    Article  Google Scholar 

  • Patolsky F, Timko B, Yu G, Fang Y, Greytak A, Zheng G, and Lieber C (2006a) Detection, stimulation, and inhibition of neuronal signals with high-density nanowire transistor arrays. Science 313:1100–1104

    Article  Google Scholar 

  • Patolsky F, Zheng G, and Lieber C (2006b) Nanowire-based biosensors. Anal Chem 78(13):4260–4269

    Article  Google Scholar 

  • Probstein R (2003) Physicochemical hydrodynamics, 2nd edn. Wiley Interscience, Hoboken

    Google Scholar 

  • Reich D, Tanase M, Hultgren A, Bauer L, Chen C, and Meyer G (2003) Biological applications of multifunctional magnetic nanowires. J Appl Phys 93(10):7275–7280

    Article  Google Scholar 

  • Slentz BE, Penner NA, and Regnier F (2002) Sampling BIAS at channel junctions in gated flow injection on chips. Anal Chem 74:4835–4840

    Article  Google Scholar 

  • Stone H, Stroock A, and Ajdari A (2004) Engineering flows in small devices: microfluidics toward a lab-on-a-chip. Annu Rev Fluid Mech 36:381–411

    Article  Google Scholar 

  • Thamida SK and Chang H (2002) Nonlinear electrokinetic ejection and entrainment due to polarization at nearly insulated wedges. Phys Fluids 14(12):4315–4328

    Article  Google Scholar 

  • Wilson HJ, Pietraszewski LA, Davis RH (2000) Aggregation of charged particles under electrophoresis or gravity at arbitrary Peclet numbers. J Colloid Interface Sci 221:87–103

    Article  Google Scholar 

  • Yariv E, Brenner H (2002) The electrophoretic mobility of an eccentrically positioned spherical particle in a cylindrical pore. Phys Fluids 14(9):3354–3357

    Article  Google Scholar 

  • Yariv E, Brenner H (2003) The electrophoretic mobility of a closely fitting sphere in a cylindrical pore. SIAM J Appl Math 64(2):423–441

    Article  MATH  MathSciNet  Google Scholar 

  • Ye C, Li D (2004) 3-D Transient electrophoretic motion of a spherical particle in a T-shaped rectangular microchannel. J Colloid Interface Sci 272:480–488

    Article  Google Scholar 

  • Ye C, Sinton D, Erickson D, Li D (2002) Electrophoretic motion of a circular cylindrical particle in a circular cylindrical microchannel. Langmuir 18:9095–9101

    Article  Google Scholar 

  • Ye C, Xuan X, Li D (2005) Eccentric electrophoretic motion of a sphere in circular cylindrical microchannels. Microfluid Nanofluid 1:234–241

    Article  Google Scholar 

  • Zimmerman WB, Rees JM, Craven TJ (2006) Rheometry of non-Newtonian electrokinetic flow in a microchannel T-junction. Microfluid Nanofluid 2:481–492

    Article  Google Scholar 

Download references

Acknowledgments

The authors wish to acknowledge the assistance of Pennsylvania State University High Performance Computing Group. This material is based upon work supported by the National Science Foundation under Grant No. 0348149.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Kendra V. Sharp.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Davison, S.M., Sharp, K.V. Transient simulations of the electrophoretic motion of a cylindrical particle through a 90° corner. Microfluid Nanofluid 4, 409–418 (2008). https://doi.org/10.1007/s10404-007-0192-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10404-007-0192-1

Keywords

Navigation