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Dynamics of colloidal particles in microchannels under combined pressure and electric potential gradients

  • V. Lochab
  • A. Yee
  • M. Yoda
  • A. T. Conlisk
  • S. PrakashEmail author
Research Paper
  • 141 Downloads

Abstract

Dynamics of charged sub-micron or colloidal particles in a microfluidic device through cross-stream migration under combined pressure gradients and electric potential gradients was demonstrated using confocal microscopy. The microfluidic device was a rectangular cross-section poly(dimethylsiloxane) or PDMS microchannel sealed with a borosilicate glass lid to form a hybrid PDMS-glass device. We postulate that the reported particle migration may arise in response to electrophoretic particle slip, i.e., the difference between the particle and fluid velocities, due to the applied electric potential gradient across the microchannel. Colloidal particle migration was observed either towards or away from the microchannel walls depending on the relative directions for the applied potential and pressure gradients. When pressure gradient driving the fluid flow and potential gradient were applied in the same direction, colloidal particles migrate away from the microchannel walls. In the case of opposite directions for the pressure and potential gradients, colloidal particles migrate towards the microchannel walls and subsequently assemble into distinct bands next to both the bottom glass and top PDMS walls. The results reported here demonstrate that the particle dynamics due to electrophoresis in Poiseuille flow within a microchannel result in non-uniform spatial distributions of colloidal particles via cross-stream migration, with the ability to assemble particles into distinct band structures at channel walls. Such manipulation, once fully realized, could lead to several microfluidics applications in material synthesis, particle separation, and biosensing.

Keywords

Microfluidics Colloidal particles Particle assembly Spatial distribution Cross-stream migration Inertial migration Electrophoresis Confocal microscopy Directed assembly 

Notes

Acknowledgements

This work was funded by the US Army Research Office through Grant number W911NF-16-0278. Partial support for personnel from the National Institutes of Health via award RO1HL141941 is also acknowledged. We thank the staff of Nanotech West for helping with device fabrication and characterization. Images presented in this report were generated using the instruments and services at the Campus Microscopy and Imaging Facility, The Ohio State University. This facility is supported in part by Grant P30 CA016058, National Cancer Institute, Bethesda, MD.

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.

Supplementary material

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References

  1. Ai Y, Qian S (2010) DC dielectrophoretic particle–particle interactions and their relative motions. J Colloid Interface Sci 346:448–454Google Scholar
  2. Akbari E, Spychalski GB, Rangharajan KK, Prakash S, Song JW (2018) Flow dynamics control endothelial permeability in a microfluidic vessel bifurcation model. Lab Chip 18:1084–1093Google Scholar
  3. Amini H, Sollier E, Weaver WM, Di Carlo D (2012) Intrinsic particle-induced lateral transport in microchannels. Proc Natl Acad Sci 109:11593–11598Google Scholar
  4. Anker JN, Hall WP, Lyandres O, Shah NC, Zhao J, Van Duyne RP (2008) Biosensing with plasmonic nanosensors. Nat Mater 7:442–453Google Scholar
  5. Asmolov ES (1999) The inertial lift on a spherical particle in a plane Poiseuille flow at large channel Reynolds number. J Fluid Mech 381:63–87zbMATHGoogle Scholar
  6. Asmolov ES, Dubov AL, Nizkaya TV, Harting J, Vinogradova OI (2018) Inertial focusing of finite-size particles in microchannels. J Fluid Mech 840:613–630MathSciNetzbMATHGoogle Scholar
  7. Bravo J, Zhai L, Wu Z, Cohen RE, Rubner MF (2007) Transparent superhydrophobic films based on silica nanoparticles. Langmuir 23:7293–7298Google Scholar
  8. Bretherton FP (1962) The motion of rigid particles in a shear flow at low Reynolds number. J Fluid Mech 14:284–304MathSciNetzbMATHGoogle Scholar
  9. Cevheri N, Yoda M (2014) Electrokinetically driven reversible banding of colloidal particles near the wall. Lab Chip 14:1391–1394Google Scholar
  10. Choudhary A, Renganathan T, Pushpavanam S (2019) Inertial migration of an electrophoretic rigid sphere in a two-dimensional Poiseuille flow. J Fluid Mech 874:856–890.  https://doi.org/10.1017/jfm.2019.479 MathSciNetCrossRefzbMATHGoogle Scholar
  11. Chun M, Lee S (2005) Flow imaging of dilute colloidal suspension in PDMS-based microfluidic chip using fluorescence microscopy. Colloids Surf A 267:86–94Google Scholar
  12. Chun M, Lee Tae S, Lee K (2005) Microflow of dilute colloidal suspension in narrow channel of microfluidic-chip under Newtonian fluid slip condition. Korea–Australia Rheol J 17:207–215Google Scholar
  13. Di Carlo D (2009) Inertial microfluidics. Lab Chip 9:3038–3046Google Scholar
  14. Duffy DC, McDonald JC, Schueller OJA, Whitesides GM (1998) Rapid prototyping of microfluidic systems in poly(dimethylsiloxane). Anal Chem 70:4974–4984Google Scholar
  15. Dutta P, Beskok A (2001) Analytical solution of combined electroosmotic/pressure driven flows in two-dimensional straight channels: finite Debye layer effects. Anal Chem 73:1979–1986Google Scholar
  16. Feng J, Hu HH, Joseph DD (1994) Direct simulation of initial value problems for the motion of solid bodies in a Newtonian fluid. Part 2. Couette and Poiseuille flows. J Fluid Mech 277:271–301zbMATHGoogle Scholar
  17. Fuest M, Rangharajan KK, Boone C, Conlisk AT, Prakash S (2017) Cation dependent surface charge regulation in gated nanofluidic devices. Anal Chem 89:1593–1601Google Scholar
  18. Furumi S, Fudouzi H, Miyazaki HT, Sakka Y (2007) Flexible polymer colloidal-crystal lasers with a light-emitting planar defect. Adv Mater 19:2067–2072Google Scholar
  19. Galisteo-Lopez JF, Ibisate M, Sapienza R, Froufe-Pérez LS, Blanco A, López C (2011) Self-assembled photonic structures. Adv Mater 23:30–69Google Scholar
  20. Ganguly S, Sarkar S, Hota TK, Mishra M (2015) Thermally developing combined electroosmotic and pressure-driven flow of nanofluids in a microchannel under the effect of magnetic field. Chem Eng Sci 126:10–21.  https://doi.org/10.1016/j.ces.2014.11.060 CrossRefGoogle Scholar
  21. Gao P et al (2015) Large-area nanosphere self-assembly by a micro-propulsive injection method for high throughput periodic surface nanotexturing. Nano Lett 15:4591–4598Google Scholar
  22. Gao Y, Magaud P, Lafforgue C, Colin S, Baldas L (2019) Inertial lateral migration and self-assembly of particles in bidisperse suspensions in microchannel flow. Microfluid Nanofluid 23:1–14Google Scholar
  23. Ghosal S (2013) Electrokinetic flow and ion transport in nanochannels. Encyclopedia of microfluidics and nanofluidics. Springer, Boston, pp 1–15Google Scholar
  24. Hanbin Z, Ravaine S (2016) Bottom-up assembly and applications of photonic materials. Crystals 6:54Google Scholar
  25. Ho BP, Leal LG (1974) Inertial migration of rigid spheres in two-dimensional unidirectional flows. J Fluid Mech 65:365–400zbMATHGoogle Scholar
  26. Hogg AJ (1994) The inertial migration of non-neutrally buoyant spherical particles in two-dimensional shear flows. J Fluid Mech 272:285–318zbMATHGoogle Scholar
  27. Jeffrey RC, Pearson JRA (1965) Particle motion in laminar vertical tube flow. J Fluid Mech 22:721–735Google Scholar
  28. Jennings BR, Stankiewicz M (1990) Electro-optic observations of electrodynamic band formation in colloidal suspensions. Proc R Soc Lond A 427:321–330Google Scholar
  29. Jon PC, Jon AD, Jing Z, Richard PVD (2008) Controlled plasmonic nanostructures for surface-enhanced spectroscopy and sensing. Acc Chem Res 41:1653–1661Google Scholar
  30. Kang S (2017) Dielectrophoretic motions of a pair of particles in the vicinity of a planar wall under a direct-current electric field. J Electrostat 89:30–41Google Scholar
  31. Kang KH, Li D (2006) Dielectric force and relative motion between two spherical particles in electrophoresis. Langmuir 22:1602–1608Google Scholar
  32. Karg M et al (2015) Colloidal self-assembly concepts for light management in photovoltaics. Mater Today 18:185–205Google Scholar
  33. Khair AS, Balu B (2019) The lift force on a charged sphere that translates and rotates in an electrolyte. Electrophoresis 00:1–8Google Scholar
  34. Kirby BJ (2010) Micro- and nanoscale fluid mechanics: transport in microfluidic devices. Cambridge University Press, New YorkzbMATHGoogle Scholar
  35. Kirby BJ, Hasselbrink EF (2004a) Zeta potential of microfluidic substrates: 1. Theory, experimental techniques, and effects on separation. Electrophoresis 25:187–202Google Scholar
  36. Kirby BJ, Hasselbrink EF (2004b) Zeta potential of microfluidic substrates: 2. Data for polymers. Electrophoresis 25:203–213Google Scholar
  37. Lee W, Amini H, Stone HA, Di Carlo D (2010) Dynamic self-assembly and control of microfluidic particle crystals. Proc Natl Acad Sci USA 107:22413–22418Google Scholar
  38. Lei W, Jiankang W, Bo C (2009) Analytic solution of liquid flow in rectangular PDMS-GLASS microchannel with wall slip and electro-viscous effects. Appl Math Sci 3:2195–2214MathSciNetzbMATHGoogle Scholar
  39. Lochab V, Yee A, Li Y, Yoda M, Conlisk AT, Prakash S (2018) Directed self assembly of colloidal particles for high aspect ratio bands. In: 2018 solid-state, actuators, and microsystems workshopGoogle Scholar
  40. Manoharan VN (2015) Colloidal matter: packing, geometry, and entropy. Science 349:1253751–1253758MathSciNetzbMATHGoogle Scholar
  41. Miguez H, Yang SM, Ozin GA (2003) Optical properties of colloidal photonic crystals confined in rectangular microchannels. Langmuir 19:3479–3485Google Scholar
  42. Prakash S, Yeom J (2014) Nanofluidics and microfluidics: systems and applications. Elsevier/William Andrew, AmsterdamGoogle Scholar
  43. Prakash S, Piruska A, Gatimu EN, Bohn PW, Sweedler JV, Shannon MA (2008) Nanofluidics: systems and applications. IEEE Sens J 8:441–450Google Scholar
  44. Qin D, Xia Y, Whitesides GM (2010) Soft lithography for micro- and nanoscale patterning. Nat Protoc 5:491–502Google Scholar
  45. Rossi M, Marin A, Cevheri N, Kahler CJ, Yoda M (2019) Particle distribution and velocity in electrokinetically induced banding. Microfluid Nanofluid 23:67Google Scholar
  46. Saffman PG (1965) The lift on a small sphere in a slow shear flow. J Fluid Mech 22:385–400zbMATHGoogle Scholar
  47. Sajeesh P, Sen AK (2014) Particle separation and sorting in microfluidic devices: a review. Microfluid Nanofluid 17:1–52Google Scholar
  48. Sarkar S, Ganguly S (2015) Fully developed thermal transport in combined pressure and electroosmotically driven flow of nanofluid in a microchannel under the effect of a magnetic field. Microfluid Nanofluid 18:623–636.  https://doi.org/10.1007/s10404-014-1461-4 CrossRefGoogle Scholar
  49. Sarkar S, Ganguly S, Biswas G, Saha P (2016) Effect of cylinder rotation during mixed convective flow of nanofluids past a circular cylinder. Comput Fluids 127:47–64.  https://doi.org/10.1016/j.compfluid.2015.12.013 MathSciNetCrossRefzbMATHGoogle Scholar
  50. Schonberg JA, Hinch EJ (1989) Inertial migration of a sphere in Poiseuille flow. J Fluid Mech 203:517–524MathSciNetzbMATHGoogle Scholar
  51. Segré G, Silberberg A (1961) Radial particle displacements in Poiseuille flow of suspensions. Nature 189:209–210Google Scholar
  52. Stone HA (2000) Philip Saffman and viscous flow theory. J Fluid Mech 409:165–183MathSciNetzbMATHGoogle Scholar
  53. Swaminathan TN, Hu HH (2004) Particle interactions in electrophoresis due to inertia. J Colloid Interface Sci 273:324–330Google Scholar
  54. Vasseur P, Cox RG (1976) The lateral migration of a spherical particle in two-dimensional shear flows. J Fluid Mech 78:385–413zbMATHGoogle Scholar
  55. Vogel N, Retsch M, Fustin CA, Del Campo A, Jonas U (2015) Advances in colloidal assembly: the design of structure and hierarchy in two and three dimensions. Chem Rev 115:6265–6311Google Scholar
  56. Yariv E (2004) Inertia-induced electrophoretic interactions. Phys Fluids 16:24–27zbMATHGoogle Scholar
  57. Yariv E (2016) Dielectrophoretic sphere-wall repulsion due to a uniform electric field. Soft Matter 12:6277–6284Google Scholar
  58. Yee A, Yoda M (2018) Experimental observations of bands of suspended colloidal particles subject to shear flow and steady electric field. Microfluid Nanofluid 22:1–12Google Scholar
  59. Zhang J, Yan S, Yuan D, Alici G, Nguyen NT, Ebrahimi Warkiani M, Li W (2016) Fundamentals and applications of inertial microfluidics: a review. Lab Chip 16:10–34Google Scholar

Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Mechanical and Aerospace EngineeringThe Ohio State UniversityColumbusUSA
  2. 2.The George W. Woodruff School of Mechanical EngineeringGeorgia Institute of TechnologyAtlantaUSA

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