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Diffusive and capillary instabilities of viscous fluid threads in microchannels

Thomas Cubaud*, Bryan Conry, Xiaoyi Hu, and Thai Dinh

  • Department of Mechanical Engineering, Stony Brook University, New York 11794, USA

  • *thomas.cubaud@stonybrook.edu
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Phys. Rev. Fluids 6, 094202 – Published 7 September, 2021

DOI: https://doi.org/10.1103/PhysRevFluids.6.094202

Abstract

We experimentally examine the formation of viscous fluid threads in hydrodynamic focusing sections using both miscible and immiscible fluid pairs at relatively low flow rates. A systematic comparative study is conducted between diffusive and capillary regimes using a viscous oil and a variety of polar organic solvents in a simple microflow geometry. Silicone oil and various low molecular weight alcohols are used as model fluids to investigate the dynamics of viscous multiphase flows at ultralow interfacial tension and with partially miscible systems. An original methodology based on analysis of thread width and detachment length in the viscous regime is developed to quantify various interfacial destabilization processes over a wide range of injection flow rates. For miscible fluid pairs, we investigate several regimes of thread swelling and, for immiscible fluid pairs, we discuss diverse modes of droplet formation and wetting dynamics. This work provides a comprehensive general classification of immiscible and miscible fluid dynamics with large viscosity contrasts in microchannels together with a unifying phenomenological description of thread behavior based on simple functional relationships to better delineate the role of flow parameters and fluid properties on viscous microflow processes.

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References (50)

  1. R. G. Larson, The Structure and Rheology of Complex Fluids (Oxford University Press, Inc., New York, 1999).
  2. P. Gateau, I. Hénaut, L. Barré, and J. F. Argillier, Heavy oil dilution, Oil Gas Sci. Technol. 59, 503 (2004).
  3. A. Aiyejina, D. P. Chakrabarti, A. Pilgrim, and M. K. S. Sastry, Wax formation in oil pipelines: A critical review, Int. J. Multiphase Flow 37, 671 (2011).
  4. F. Leal-Calderon, V. Schmitt, and J. Bibette, Emulsion Science: Basic Principles (Springer, New York, 2007).
  5. D. Klein, Organic Chemistry (John Wiley & Sons, Inc., Hoboken, NJ, 2012).
  6. G. W. Castellan, Physical Chemistry (Addison-Wesley Publishing Company, Reading, MA, 1983).
  7. A. W. Adamson and A. P. Gast, Physical Chemistry of Surfaces (John Wiley & Sons, Inc., New York, 1991).
  8. N. Shahidzadeh, D. Bonn, J. Meunier, M. Nabavi, M. Airiau, and M. Morvan, Dynamics of spontaneous emulsification for fabrication of oil in water emulsions, Langmuir 16, 9703 (2000).
  9. S. A. Vitale and J. L. Katz, Liquid droplet dispersions formed by homogeneous liquid-liquid nucleation: “The ouzo effect”, Langmuir 19, 4105 (2003).
  10. C. A. Miller, Spontaneous emulsification produced by diffusion—a review, Colloids Surf. 29, 89 (1988).
  11. C. Solans, D. Morales, and M. Homs, Spontaneous emulsification, Curr. Opin. Colloids Interface Sci. 22, 88 (2016).
  12. T. Cubaud, Swelling of Diffusive Fluid Threads in Microchannels, Phys. Rev. Lett. 125, 174502 (2020).
  13. R. Hajian and S. Hardt, Formation and lateral migration of nanodroplets via solvent shifting in a microfluidic device, Microfluid. Nanofluid. 19, 1281 (2015).
  14. H. M. Xia, J. W. Wu, J. J. Zheng, J. Zhang, and Z. P. Wang, Nonlinear microfluidics: Device physics, functions, and applications, Lab Chip 21, 1241 (2021).
  15. X. Hu and T. Cubaud, Viscous Wave Breaking and Ligament Formation in Microfluidic Systems, Phys. Rev. Lett. 121, 044502 (2018).
  16. A. Bouchaudy, C. Loussert, and J.-B. Salmon, Steady microfluidic measurements of mutual diffusion coefficients of liquid binary mixtures, AIChE J. 64, 358 (2018).
  17. W. Li, Z. Nie, H. Zhang, C. Paquet, M. Seo, P. Garstecki, and E. Kumacheva, Screening of the effect of surface energy of microchannels on microfluidic emulsification, Langmuir 23, 8010 (2007).
  18. P. Poesio, G. P. Beretta, and T. Thorsen, Dissolution of a Liquid Microdroplet in a Nonideal Liquid-Liquid Mixture Far from Thermodynamic Equilibrium, Phys. Rev. Lett. 103, 064501 (2009).
  19. M. Sauzade and T. Cubaud, Initial microfluidic dissolution regime of CO2 bubbles in viscous oils, Phys. Rev. E 88, 051001(R) (2013).
  20. M. S. N. Oliveira, F. T. Pinho, and M. A. Alves, Divergent streamlines and free vortices in Newtonian fluid flows in microfluidic flow-focusing devices, J. Fluid Mech. 711, 171 (2012).
  21. I. R. Damian, S. Hardt, and C. Balan, From flow focusing to vortex formation in crossing microchannels, Microfluid. Nanofluid. 21, 142 (2017).
  22. I. Bihi, D. Vesperini, B. Kaoui, and A. Le Goff, Pressure-driven flow focusing of two miscible liquids, Phys. Fluids 31, 062001 (2019).
  23. K. Doufène, C. Tourné-Péteilh, P. Etienne, and A. Aubert-Pouëssel, Microfluidic systems for droplet generation in aqueous continuous phases: A focus review, Langmuir 35, 12597 (2019).
  24. G. Bolognesi, A. Hargreaves, A. D. Ward, A. K. Kirby, C. D. Brain, and O. Ces, Microfluidic generation of monodisperse ultra-low interfacial tension oil droplets in water, RSC Adv. 5, 8114 (2015).
  25. M. Moiré, Y. Peysson, B. Herzhaft, N. Pannacci, F. Gallaire, L. Augello, C. Dalmazzone, and A. Colin, Ultralow interfacial tension measurement through jetting/dripping transition, Langmuir 33, 2531 (2017).
  26. J. M. Montanero and A. M. Gañán-Calvo, Dripping, jetting and tip streaming, Rep. Prog. Phys. 83, 097001 (2020).
  27. S. L. Anna, Droplets and bubbles in microfluidic devices, Annu. Rev. Fluid Mech. 48, 285 (2016).
  28. X. Chen and C. L. Ren, Experimental study on droplet generation in flow focusing devices considering a stratified flow with viscosity contrast, Chem. Eng. Sci. 163, 1 (2017).
  29. A. Günther and K. F. Jensen, Multiphase microfluidics: From flow characteristics to chemical and material synthesis, Lab Chip 6, 1487 (2006).
  30. O. du Roure, A. Lindner, E. N. Nazockdast, and M. J. Shelley, Dynamics of flexible fibers in viscous flows and fluids, Ann. Rev. Fluid Mech. 51, 539 (2019).
  31. N. Mittal, F. Ansari, K. Gowda, C. Brouzet, P. Chen, P. T. Larsson, S. V. Roth, F. Lundell, L. Wågberg, N. A. Kotov et al., Multiscale control of nanocellulose assembly: Transferring remarkable nanoscale fibril mechanics to macroscale fibers, ACS Nano 12, 6378 (2018).
  32. S. A. Khan and S. Duraiswamy, Microfluidic emulsions with dynamic compound drops, Lab Chip 9, 1840 (2009).
  33. L. L. A. Adams, T. E. Kodger, S.-H. Kim, H. C. Shum, T. Franke, and D. A. Weitz, Single step emulsification for the generation of multi-component double emulsions, Soft Matter 8, 10719 (2012).
  34. T. J. Ober, D. Foresti, and J. A. Lewis, Active mixing of complex fluids at the microscale, Proc. Natl. Acad. Sci. USA 112, 12293 (2015).
  35. T. Cubaud, Segmented flows of viscous threads in microchannels, Phys. Rev. Fluids 4, 084201 (2019).
  36. B. Selvam, S. Merk, R. Govindarajan, and E. Meiburg, Stability of miscible core-annular flows with viscosity stratification, J. Fluid. Mech. 592, 23 (2007).
  37. D. D. Joseph and Y. Y. Renardy, Fundamentals of Two-Fluid Dynamics. Part II: Lubricated Transport, Drops and Miscible Liquids (Springer-Verlag, New York, 1993).
  38. T. Cubaud and T. G. Mason, High-viscosity fluid threads in weakly diffusive microfluidic systems, New J. Phys. 11, 075029 (2009).
  39. V. Jayaprakash, M. Costalonga, S. Dhulipala, and K. K. Varanasi, Enhancing the injectability of high concentration drug formulations using core annular flows, Adv. Healthcare Mater. 9, 2001022 (2020).
  40. P. Dunne et al., Liquid flow and control without solid walls, Nature (London, UK) 581, 58 (2020).
  41. T. Cubaud and S. Notaro, Regimes of miscible fluid thread formation in microfluidic focusing sections, Phys. Fluids 26, 122005 (2014).
  42. T. Cubaud and T. G. Mason, Capillary threads and viscous droplets in square microchannels, Phys. Fluids 20, 053302 (2008).
  43. J. A. Pojman, C. Whitmore, M. L. Turco Liveri, R. Lombardo, J. Marszalek, R. Parker, and B. Zoltowski, Evidence for the existence of an effective interfacial tension between miscible fluids:  Isobutyric acid−water and 1-butanol−water in a spinning-drop tensiometer, Langmuir 22, 2569 (2006).
  44. D. Truzzolillo and L. Cipelletti, Off-equilibrium surface tension in miscible fluids, Soft Matter 13, 13 (2017).
  45. K. Gowda, C. Brouzet, T. Lefranc, L. D. Söderberg, and F. Lundell, Effective interfacial tension in flow-focusing of colloidal dispersions: 3-D numerical simulations and experiments, J. Fluid Mech. 876, 1052 (2019).
  46. A. Carbonaro, L. Cipelletti, and D. Truzzolillo, Ultralow effective interfacial tension between miscible molecular fluids, Phys. Rev. Fluids 5, 074001 (2020).
  47. D. Truzzolillo and L. Cipelletti, Hydrodynamic instabilities in miscible fluids, J. Phys.: Condens. Matter 30, 033001 (2018).
  48. C. Redon, F. Brochard-Wyart, and F. Rondelez, Dynamics of Dewetting, Phys. Rev. Lett. 66, 715 (1991).
  49. M. J. Madou, Fundamentals of Macrofabrication and Nanotechnology (CRC Press, Boca Raton, FL, 2012), Vol II.
  50. X. Hu and T. Cubaud, Inertial destabilization of highly viscous microfluidic stratifications, Phys. Rev. Fluids 1, 044101 (2016).

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Phys. Rev. Fluids 6, 094202– Published 7 September, 2021
  • Received 7 June 2021
  • Accepted 19 August 2021
Article part of CHORUS
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