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Inertial migration of neutrally buoyant particles in superhydrophobic channels

Tatiana V. Nizkaya1, Evgeny S. Asmolov1,2, Jens Harting3,4, and Olga I. Vinogradova1,2,5,*

  • 1A. N. Frumkin Institute of Physical Chemistry and Electrochemistry, Russian Academy of Science, 31 Leninsky Prospect, 119071 Moscow, Russia
  • 2M. V. Lomonosov Moscow State University, 119991 Moscow, Russia
  • 3Helmholtz Institute Erlangen-Nürnberg for Renewable Energy, Forschungszentrum Jülich, Fürther Str. 248, 90429 Nürnberg, Germany
  • 4Department of Applied Physics, Eindhoven University of Technology, PO box 513, 5600MB Eindhoven, The Netherlands
  • 5DWI-Leibniz Institute for Interactive Materials, Forckenbeckstr. 50, 52056 Aachen, Germany

  • *Corresponding author: oivinograd@yahoo.com
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Phys. Rev. Fluids 5, 014201 – Published 15 January, 2020

DOI: https://doi.org/10.1103/PhysRevFluids.5.014201

Abstract

At finite Reynolds numbers, particles migrate across flow streamlines to their equilibrium positions in microchannels. Such a migration is attributed to an inertial lift force, and it is well known that the equilibrium location of neutrally buoyant particles is determined only by their size and the Reynolds number. Here we demonstrate that the decoration of a bottom wall of the channel by superhydrophobic grooves provides additional possibilities for manipulation of neutrally buoyant particles. It is shown that the effective anisotropic hydrodynamic slip of such a bottom wall can be readily used to alter the equilibrium positions of particles and to generate their motion transverse to the pressure gradient. These results may guide the design of novel inertial microfluidic devices for efficient sorting of neutrally buoyant microparticles by their size.

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References (42)

  1. D. Di Carlo, D. Irimia, R. G. Tompkins, and M. Toner, Continuous inertial focusing, ordering, and separation of particles in microchannels, Proc. Natl. Acad. Sci. USA 104, 18892 (2007).
  2. A. A. S. Bhagat, S. S. Kuntaegowdanahalli, and I. Papautsky, Continuous particle separation in spiral microchannels using dean flows and differential migration, Lab. Chip 8, 1906 (2008).
  3. D. R. Gossett, W. M. Weaver, A. J. Mach, S. C. Hur, H. T. K. Tse, W. Lee, H. Amini, and D. Di Carlo, Label-free cell separation and sorting in microfluidic systems, Anal. Bioanal. Chem. 397, 3249 (2010).
  4. J. C. Giddings, F. J. Yang, and M. N. Myers, Theoretical and experimental characterization of flow field-flow fractionation, Anal. Chem. 48, 1126 (1976).
  5. J. C. Giddings, F. J. Yang, and M. N. Myers, Correction - theoretical and experimental characterization of field-flow fractionation, Anal. Chem. 49, 523 (1977).
  6. Jue Zhang, P. Stephen Williams, Marcus N. Myers, and J. Calvin Giddings, Separation of cells and cell-sized particles by continuous splitt fractionation using hydrodynamic lift forces, Separation Sci. Technol. 29, 2493 (1994).
  7. J. Zhang, S. Yan, D. Yuan, G. Alici, N.-T. Nguyen, M. E. Warkiani, and W. Li, Fundamentals and applications of inertial microfluidics: A review, Lab. Chip 16, 10 (2016).
  8. D. Stoecklein and D. Di Carlo, Nonlinear microfluidics, Anal. Chem. 91, 296 (2018).
  9. J. Zhang, S. Yan, G. Alici, N.-T. Nguyen, D. Di Carlo, and W. Li, Real-time control of inertial focusing in microfluidics using dielectrophoresis (dep), RSC Adv. 4, 62076 (2014).
  10. S. Dutz, M. E. Hayden, and U. O. Häfeli, Fractionation of magnetic microspheres in a microfluidic spiral: Interplay between magnetic and hydrodynamic forces, PLoS ONE 12, e0169919 (2017).
  11. F. W. Altena and G. Belfort, Lateral migration of spherical particles in porous flow channels: Application to membrane filtration, Chem. Eng. Sci. 39, 343 (1984).
  12. N. A. Lebedeva and E. S. Asmolov, Migration of settling particles in a horizontal viscous flow through a vertical slot with porous walls, Int. J. Multiphase Flow 37, 453 (2011).
  13. M. Garcia and S. Pennathur, Inertial particle dynamics in the presence of a secondary flow, Phys. Rev. Fluids 2, 042201 (2017).
  14. D. Quere, Wetting and roughness, Annu. Rev. Mater. Res. 38, 71 (2008).
  15. C. Ybert, C. Barentin, C. Cottin-Bizonne, P. Joseph, and L. Bocquet, Achieving large slip with superhydrophobic surfaces: Scaling laws for generic geometries, Phys. Fluids 19, 123601 (2007).
  16. O. I. Vinogradova and A. V. Belyaev, Wetting, roughness and flow boundary conditions, J. Phys.: Condens. Matter 23, 184104 (2011).
  17. J. P. Rothstein, Slip on superhydrophobic surfaces, Annu. Rev. Fluid Mech. 42, 89 (2010).
  18. M. Z. Bazant and O. I. Vinogradova, Tensorial hydrodynamic slip, J. Fluid Mech. 613, 125 (2008).
  19. F. Feuillebois, M. Z. Bazant, and O. I. Vinogradova, Effective Slip Over Superhydrophobic Surfaces in Thin Channels, Phys. Rev. Lett. 102, 026001 (2009).
  20. S. Schmieschek, A. V. Belyaev, J. Harting, and O. I. Vinogradova, Tensorial slip of super-hydrophobic channels, Phys. Rev. E 85, 016324 (2012).
  21. F. Feuillebois, M. Z. Bazant, and O. I. Vinogradova, Transverse flow in thin superhydrophobic channels, Phys. Rev. E 82, 055301(R) (2010).
  22. D. Pimponi, M. Chinappi, P. Gualtieri, and C. M. Casciola, Mobility tensor of a sphere moving on a superhydrophobic wall: Application to particle separation, Microfluid Nanofluid 16, 571 (2014).
  23. E. S. Asmolov, A. L. Dubov, T. V. Nizkaya, A. J. C. Kuehne, and O. I. Vinogradova, Principles of transverse flow fractionation of microparticles in superhydrophobic channels, Lab. Chip 15, 2835 (2015).
  24. M. Sbragaglia and A. Prosperetti, A note on the effective slip properties for microchannel flows with ultrahydrophobic surfaces, Phys. Fluids 19, 043603 (2007).
  25. C. J. Teo and B. C. Khoo, Analysis of Stokes flow in microchannels with superhydrophobic surfaces containing a periodic array of micro-grooves, Microfluid. Nanofluid. 7, 353 (2008).
  26. E. S. Asmolov, T. V. Nizkaya, and O. I. Vinogradova, Enhanced slip properties of lubricant-infused grooves, Phys. Rev. E 98, 033103 (2018).
  27. E. S. Asmolov, A. L. Dubov, T. V. Nizkaya, J. Harting, and O. I. Vinogradova, Inertial focusing of finite-size particles in microchannels, J. Fluid Mech. 840, 613 (2018).
  28. A. M. J. Davis, M. T. Kezirian, and H. Brenner, On the Stokes-Einstein model of surface diffusion along solid surfaces: Slip boundary conditions, J. Colloid Interface Sci. 165, 129 (1994).
  29. H. Loussaief, L. Pasol, and F. Feuillebois, Motion of a spherical particle in a viscous fluid along a slip wall, Q. J. Mech. Appl. Math. 68, 115 (2015).
  30. N. Ghalia, F. Feuillebois, and A. Sellier, A sphere in a second degree polynomial creeping flow parallel to a plane, impermeable and slipping wall, Q. J. Mech. Appl. Math. 69, 353 (2016).
  31. E. S. Asmolov, The inertial lift on a spherical particle in a plane Poiseuille flow at large channel Reynolds number, J. Fluid Mech. 381, 63 (1999).
  32. R. Benzi, S. Succi, and M. Vergassola, The lattice Boltzmann equation: Theory and applications, Phys. Rep. 222, 145 (1992).
  33. C. Kunert, J. Harting, and O. I. Vinogradova, Random-Roughness Hydrodynamic Boundary Conditions, Phys. Rev. Lett. 105, 016001 (2010).
  34. A. J. C. Ladd and R. Verberg, Lattice-Boltzmann simulations of particle-fluid suspensions, J. Stat. Phys. 104, 1191 (2001).
  35. F. Janoschek, F. Toschi, and J. Harting, Simplified particulate model for coarse-grained hemodynamics simulations, Phys. Rev. E 82, 056710 (2010).
  36. F. Janoschek, J. Harting, and F. Toschi, Towards a continuum model for particle-induced velocity fluctuations in suspension flow through a stenosed geometry, Int. J. Mod. Phys. C 25, 1441013 (2014).
  37. A. L. Dubov, S. Schmieschek, E. S. Asmolov, J. Harting, and O. I. Vinogradova, Lattice-Boltzmann simulations of the drag force on a sphere approaching a superhydrophobic striped plane, J. Chem. Phys. 140, 034707 (2014).
  38. J. Harting, S. Frijters, M. Ramaioli, M. Robinson, D. E. Wolf, and S. Luding, Recent advances in the simulation of particle-laden flows, Eur. Phys. J.: Spec. Top. 223, 2253 (2014).
  39. N. K. Ahmed and M. Hecht, A boundary condition with adjustable slip length for lattice Boltzmann simulations, J. Stat. Mech. (2009) P09017.
  40. M. Hecht and J. Harting, Implementation of on-site velocity boundary conditions for d3q19 lattice Boltzmann simulations, J. Stat. Mech. (2010) P01018.
  41. T. V. Nizkaya, E. S. Asmolov, and O. I. Vinogradova, Flow in channels with superhydrophobic trapezoidal textures, Soft Matter 9, 11671 (2013).
  42. T. V. Nizkaya, E. S. Asmolov, J. Zhou, F. Schmid, and O. I. Vinogradova, Flows and mixing in channels with misaligned superhydrophobic walls, Phys. Rev. E 91, 033020 (2015).

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Phys. Rev. Fluids 5, 014201– Published 15 January, 2020
  • Received 17 August 2019
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