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  • Invited
  • Access by Xinjiang University

Seeking simplicity for the understanding of multiphase flows

Howard A. Stone

  • Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, New Jersey 08544, USA

Phys. Rev. Fluids 2, 100507 – Published 17 October, 2017

DOI: https://doi.org/10.1103/PhysRevFluids.2.100507

Abstract

Fluid mechanics is a discipline with rich phenomena, with motions occurring over an enormous range of length scales, and spanning a wide range of laminar and turbulent flows, instabilities, and applications in industry, nature, biology, and medicine. The subfield of complex fluids typically refers to those flows where the complexity is introduced, for example, by the presence of suspended particles, multiple phases, soft boundaries, and electrokinetic effects; several distinct multiphase flows of Newtonian fluids make up the examples in this article. Interfaces play a significant role and modify the flow with feedback that further changes the shapes of the interfaces. I will provide examples of our work highlighting (i) new features of classical instabilities triggered by changes in geometry, (ii) multiphase flows relevant to the design of liquid-infused substrates exhibiting effective slip while retaining the trapped liquid, and (iii) unexpected dynamics in flow at a T-junction. The interplay of experiments and mathematical models and/or simulations is critical to the new understanding developed.

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2017 Invited Papers

Physical Review Fluids publishes a collection of papers associated with the invited talks presented at the 69th Annual Meeting of the APS Division of Fluid Dynamics.

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References (53)

  1. M. D. van Dyke, An Album of Fluid Motion (Parabolic Press, Palo Alto, 1982).
  2. M. Samimy, K. S. Breuer, L. G. Leal, and P. H. Steen (eds.), A Gallery of Fluid Motion (Cambridge University Press, Cambridge, 2003).
  3. B. S. Obst, W. M. Hamner, P. P. Hamner, E. Wolanski, M. Rubega, and B. Littlehales, Kinematics of phalarope spinning, Nature (London) 384, 121 (1996).
  4. M. Prakash, D. Quéré, and J. W. M. Bush, Surface tension transport of prey by feeding shorebirds: The capillary ratchet, Science 320, 931 (2008).
  5. I. Cantat, S. Cohen-Addad, F. Elias, F. Graner, R. Höhler, O. Pitois, F. Rouyer, and A. Saint-Jalmes, Foams: Structure and Dynamics (Oxford University Press, Oxford, 2013).
  6. J. L. Anderson, Colloid transport by interface forces, Ann. Rev. Fluid Mech. 21, 61 (1989).
  7. B. Abécassis, C. Cottin-Bizonne, C. Ybert, A. Ajdari, and L. Bocquet, Boosting migration of large particles by solute contrasts, Nat. Mater. 7, 785 (2008).
  8. D. Velegol, A. Garg, R. Guha, A. Kar, and M. Kumar, Origins of concentration gradients for diffusiophoresis, Soft Matter 12, 4686 (2016).
  9. S. Shin, O. Shardt, P. B. Warren, and H. A. Stone, Membraneless water filtration using CO2, Nat. Commun. 8, 15181 (2017).
  10. D. Saintillan and M. J. Shelley, Theory of active suspensions, in Complex Fluids in Biological Systems, edited by S. Spagnolie (Springer Science+Business Media, New York, 2015), pp. 391–355.
  11. S. J. Muller, R. G. Larson, and E. S. G. Shaqfeh, A purely elastic transition in Taylor-Couette flow, Rheol. Acta 28, 499 (1989).
  12. A. Groisman and V. Steinberg, Nature (London) 405, 53 (2000).
  13. A. Sauret, F. Boulogne, J. Cappello, E. Dressaire, and H. A. Stone, Damping of liquid sloshing by foams, Phys. Fluids 27, 022103 (2015).
  14. S. Shim and H. A. Stone, Damped coalescence cascade of liquid drops, Phys. Rev. Fluids 2, 044001 (2017).
  15. Y. E. Yu, S. Khodaparast, and H. A. Stone, Armoring confined bubbles in the flow of colloidal suspensions, Soft Matter 13, 2857 (2017).
  16. N. Oppenheimer, S. Navardi, and H. A. Stone, Motion of a hot particle in viscous fluids, Phys. Rev. Fluids 1, 014001 (2016).
  17. L. E. Stillwagon and R. G. Larson, Fundamentals of topographic substrate leveling, J. Appl. Phys. 63, 5251 (1988).
  18. S. Kalliadasis, C. Bielarz, and G. M. Homsy, Steady free-surface thin film flows over topography, Phys. Fluids 12, 1889 (2000).
  19. E. Dressaire, L. Courbin, J. Crest, and H. A. Stone, Thin-Film Fluid Flows Over Micro Decorated Surfaces: Observation of Polygonal Hydraulic Jumps, Phys. Rev. Lett. 102, 194503 (2009).
  20. E. Dressaire, L. Courbin, J. Crest, and H. A. Stone, Inertia dominated thin-film flows over micro decorated surfaces, Phys. Fluids 22, 073602 (2010).
  21. M. Joanicot and A. Ajdari, Droplet control for microfluidics, Science 309, 887 (2005).
  22. J. K. Nunes, S. S. H. Tsai, J. Wan, and H. A. Stone, Dripping and jetting in microfluidic multiphase flows applied to particle and fibre synthesis, J. Phys. D: Appl. Phys. 46, 114002 (2013).
  23. P. G. Saffman and G. I. Taylor, The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid, Proc. R. Soc. London A 245, 312 (1958).
  24. S. Hill, Channelling in packed columns, Chem. Eng. Sci. 1, 247 (1952).
  25. R. L. Chouke, P. van Meurs, and C. van der Poel, The instability of slow, immiscible, viscous liquid-liquid displacements in permeable media, Trans. AIME 216, 188 (1959).
  26. G. M. Homsy, Viscous fingering in porous media, Ann. Rev. Fluid Mech. 19, 271 (1987).
  27. S. Protière, M. Z. Bazant, D. A. Weitz, and H. A. Stone, Droplet breakup in flow past an obstacle: A capillary instability due to permeability variations, Europhys. Lett. 92, 54002 (2010).
  28. J. R. A. Pearson, The instability of uniform viscous flow under rollers and spreaders, J. Fluid Mech. 7, 481 (1960).
  29. E. Pitts and J. Greiller, The flow of thin liquid films between rollers, J. Fluid Mech. 11, 33 (1961).
  30. K. J. Ruschak, Coating flows, Annu. Rev. Fluid Mech. 17, 65 (1985).
  31. M. Rabaud, S. Michalland, and Y. Couder, Dynamical Regimes of Directional Viscous Fingering: Spatiotemporal Chaos and Wave Propagation, Phys. Rev. Lett. 64, 184 (1990).
  32. D. A. Reinelt, The primary and inverse instabilities of directional viscous fingering, J. Fluid Mech. 285, 303 (1995).
  33. T. T. Al-Housseiny, P. A. Tsai, and H. A. Stone, Control of interfacial instabilities using flow geometry, Nat. Phys. 8, 747 (2012).
  34. D. Pihler-Puzović, P. Illien, M. Heil, and A. Juel, Suppression of Complex Fingerlike Patterns at the Interface Between Air and a Viscous Fluid by Elastic Membranes, Phys. Rev. Lett. 108, 074502 (2012).
  35. G. G. Peng, D. Pihler-Puzović, A. Juel, M. Heil, and J. R. Lister, Displacement flows under elastic membranes. Part 2. Analysis of interfacial effects, J. Fluid Mech. 784, 512 (2015).
  36. D. Quéré, Non-sticking drops, Rep. Prog. Phys. 68, 2495 (2005).
  37. D. Angelescu, T. Moscato, F. Pauchet, and R. Van Kuijk, U.S. Patent No. 0283778 (2011).
  38. T.-S. Wong, S. H. Kang, S. K. Tang, E. J. Smythe, B. D. Hatton, A. Grinthal, and J. Aizenberg, Bioinspired self-repairing slippery surfaces with pressure-stable omniphobicity, Nature (London) 477, 443 (2011).
  39. A. Lafuma and D. Quéré, Slippery pre-suffused surfaces, Europhys. Lett. 96, 56001 (2011).
  40. E. Lauga and H. A. Stone, Effective slip in pressure-driven Stokes flow, J. Fluid Mech. 489, 55 (2003).
  41. C. Cottin-Bizonne, J. L. Barrat, L. Bocquet, and E. Charlaix, Low-friction flows of liquid at nanopatterned interfaces, Nat. Mater. 2, 237 (2003).
  42. J. R. Philip, Flows satisfying mixed no-slip and no-shear conditions, Z. Angew. Math. Phys. 23, 353 (1972a).
  43. J. R. Philip, Integral properties of flows satisfying mixed no-slip and no-shear conditions, Z. Angew. Math. Phys. 23, 960 (1972b).
  44. J. S. Wexler, I. Jacobi, and H. A. Stone, Shear-Driven Failure of Liquid-Infused Surfaces, Phys. Rev. Lett. 114, 168301 (2015).
  45. Y. Liu, J. S. Wexler, C. Schönecker, and H. A. Stone, Effect of viscosity ratio on the shear-driven failure of liquid-infused surfaces, Phys. Rev. Fluids 1, 074003 (2016).
  46. D. Vigolo, S. Radl, and H. A. Stone, Unexpected trapping of particles at a T junction, Proc. Nat. Acad. Sci. USA 111, 4770 (2014).
  47. K. K. Chen, C. W. Rowley, and H. A. Stone, Vortex dynamics in a pipe T-junction: Recirculation and sensitivity, Phys. Fluids 27, 034107 (2015).
  48. W. R. Dean, Note on the motion of fluid in a curved pipe, Phil. Mag. 4, 208 (1927).
  49. G. L. Brown and J. M. Lopez, Axisymmetric vortex breakdown Part 2. Physical mechanisms, J. Fluid Mech. 221, 553 (1990).
  50. H. Squire, Analysis of the Vortex Breakdown Phenomenon (Imperial College of Science and Technology, Aeronautics Department, London, 1960).
  51. T. B. Benjamin, Theory of the vortex breakdown phenomenon, J. Fluid Mech. 14, 593 (1962).
  52. S. Wang and Z. Rusak, The dynamics of a swirling flow in a pipe and transition to axisymmetric vortex breakdown, J. Fluid Mech. 340, 177 (1997).
  53. J. T. Ault, A. Fani, K. K. Chen, S. Shin, F. Gallaire, and H. A. Stone, Vortex-Breakdown-Induced Particle Capture in Branching Junctions, Phys. Rev. Lett. 117, 084501 (2016).

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