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Hoop stress-assisted three-dimensional particle focusing under viscoelastic flow

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Abstract

Three-dimensional particle focusing is a prerequisite for a wide range of lab-on-a-chip applications such as cell counting and sorting. We have demonstrated that when side-wells are inserted in a rectangular channel, the particles form an almost single stream (>99 %) within ±0.9× particle diameter from the channel centerline under viscoelastic flow. Recently, viscoelasticity-based particle focusing technique has attracted much attention since it operates by flowing particles in extremely simple channels. However, the particles move along multiple equilibrium positions in rectangular channels under elasticity-dominant flow, and this is not favorable for practical applications. We show that the hoop stress along curved streamlines in side-wells can be engineered to reduce the multiple particle lanes to a single stream. Further, we achieve highly efficient focusing under inertialess viscoelastic flow with high throughput (>2000/s). We expect that our novel method will find applications in accurate cell counting, sorting, and deformability measurement.

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References

  1. Bird RB, Armstrong RC, Hassager O (1987) Dynamics of polymeric liquids. Wiley Interscience, New York

  2. Cha S, Shin T, Lee SS, Shim W, Lee G, Lee SJ, Kim Y, Kim JM (2012) Cell stretching measurement utilizing viscoelastic particle focusing. Anal Chem 84:10471–10477

  3. Chen Y, Nawaz AA, Zhao Y, Huang PH, McCoy JP, Levine SJ, Wang L, Huang TJ (2014) Standing surface acoustic wave (SSAW)-based microfluidic cytometer. Lab Chip 14:916–923

  4. Chung AJ, Gossett DR, Di Carlo D (2013) Three dimensional, sheathless, and high-throughput microparticle inertial focusing through geometry-induced secondary flows. Small 9:685–690

  5. D’Avino G, Romeo G, Villone MM, Greco F, Netti PA, Maffettone PL (2012) Single line particle focusing induced by viscoelasticity of the suspending liquid: theory, experiments and simulations to design a micropipe flow-focuser. Lab Chip 12:1638–1645

  6. Di Carlo D (2009) Inertial microfluidics. Lab Chip 9:3038–3046

  7. Di Carlo D, Irimia D, Tompkins RG, Toner M (2007) Continuous inertial focusing, ordering, and separation of particles in microchannels. Proc Natl Acad Sci U S A 104:18892–18897

  8. Giudice F, Romeo G, D’Avino G, Greco F, Netti PA, Maffettone PL (2013) Particle alignment in a viscoelastic liquid flowing in a square-shaped microchannel. Lab Chip 13:4263–4271

  9. Ho BP, Leal LG (1976) Migration of rigid spheres in a two-dimensional unidirectional shear flow of a second-order fluid. J Fluid Mech 76:783–799

  10. Hur SC, Tse HTK, Di Carlo D (2010) Sheathless inertial cell ordering for extreme throughput flow cytometry. Lab Chip 10:274–280

  11. Im SG, Bong KW, Lee CH, Doyle PS, Gleason KK (2009) A conformal nano-adhesive via initiated chemical vapor deposition for microfluidic devices. Lab Chip 9:411–416

  12. Kang K, Lee SS, Hyun K, Lee SJ, Kim JM (2013) DNA-based highly tunable particle focuser. Nat Commun 4:2567–2575

  13. Karimi A, Yazdi S, Ardekani AM (2013) Hydrodynamic mechanisms of cell and particle trapping in microfluidics. Biomicrofluidics 7:021501

  14. Kim JY, Ahn S, Lee SS, Kim JM (2012) Lateral migration and focusing of colloidal particles and DNA molecules under viscoelastic flow. Lab Chip 12:2807–2814

  15. Lee DJ, Brenner H, Youn JR, Song YS (2013) Multiplex particle focusing via hydrodynamic force in viscoelastic fluids. Sci Rep 3:3258–3266

  16. Leshansky AM, Bransky A, Korin N, Dinnar U (2007) Tunable nonlinear viscoelastic “focusing” in a microfluidic device. Phys Rev Lett 98:234501

  17. Nam J, Lim H, Kim D, Jung H, Shin S (2012) Continuous separation of microparticles in a microfluidic channel via the elasto-inertial effect of non-Newtonian fluid. Lab Chip 12:1347–1354

  18. Romeo G, D’Avino G, Greco F, Netti PA, Maffettone PL (2013) Viscoelastic flow-focusing in microchannels: scaling properties of the particle radial distributions. Lab Chip 13:2802–2807

  19. Seo KW, Byeon HJ, Huh HK, Lee SJ (2014) Particle migration and single-line particle focusing in microscale pipe flow of viscoelastic fluids. RSC Adv 4:3512–3520

  20. Sollier E, Murray C, Maoddi P, Di Carlo D (2011) Rapid prototyping polymers for microfluidic devices and high pressure injections. Lab Chip 11:3752–3765

  21. Tabeling P (2006) Introduction to microfluidics. Oxford University Press, New York

  22. Tehrani MA (1996) An experimental study of particle migration in pipe flow of viscoelastic fluids. J Rheol 40:1057–1077

  23. Xia Y, Whitesides GM (1998) Soft lithography. Angew Chem Int Ed 37:550–575

  24. Xuan XC, Zhu JJ, Church C (2010) Particle focusing in microfluidic devices. Microfluid Nanofluid 9:1–16

  25. Yang S, Kim JY, Lee SJ, Lee SS, Kim JM (2011) Sheathless elasto-inertial particle focusing and continuous separation in a straight rectangular microchannel. Lab Chip 11:266–273

  26. Yang S, Lee SS, Ahn SW, Kang K, Shim W, Lee G, Hyun K, Kim JM (2012) Deformability-selective particle entrainment and separation in a rectangular microchannel using medium viscoelasticity. Soft Matter 8:5011–5019

  27. You JB, Min KI, Lee B, Kim DP, Im SG (2013) A doubly cross-linked nano-adhesive for the reliable sealing of flexible microfluidic devices. Lab Chip 13:1266–1272

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Acknowledgments

This work was supported by the research programs through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (nos. 2009-0093826, NRF-2013R1A1A1A05007406, and NRF-2013R1A1A2A10004353). This research was funded by the MSIP (Ministry of Science, ICT & Future Planning), Korea in the ICT R&D Program (The core technology development of light and space adaptable energy-saving I/O platform for future advertising service) and the EEWS Research Project of the Office of the KAIST EEWS Initiative. The authors are thankful to Prof. Seong Jae Lee at The University of Suwon for kindly providing us with PS beads and also the measurement of viscosities with a rheometer (MCR 300).

Author information

Correspondence to Sung Gap Im or Younghun Kim or Ju Min Kim.

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Special issue devoted to Novel Trends in Rheology

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Cha, S., Kang, K., You, J.B. et al. Hoop stress-assisted three-dimensional particle focusing under viscoelastic flow. Rheol Acta 53, 927–933 (2014) doi:10.1007/s00397-014-0808-9

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Keywords

  • Viscoelastic
  • Particle
  • Focusing
  • Microchannel flow
  • Hoop stress