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Engineered transparent emulsion to optically study particulate flows in yield stress fluids

Abstract

We have engineered a model suspension consisting of rigid particles and yield stress fluids. The suspending fluid is an emulsion with adjustable density, rheological behavior, and refractive index. We explain the design procedure in detail. The optically transparent emulsion opens the possibility of exploring particle tracking/image velocimetry (PIV/PTV) techniques in studying dynamic flows involving particles in complex fluids. As a proof of concept, we have performed PTV to provide accurate measurements of solid volume fractions for the dispersion of particles in a Taylor–Couette cell.

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References

  1. Balmforth NJ, Frigaard IA, Ovarlez G (2014) Yielding to stress: recent developments in viscoplastic fluid mechanics. Annu Rev Fluid Mech 46:121–146

  2. Blanc F (2011) Rhéologie et microstructure des suspensions concentrées non browniennes. PhD thesis, Université Nice Sophia Antipolis

  3. Blanc F, Lemaire E, Meunier A, Peters F (2013) Microstructure in sheared non-brownian concentrated suspensions. J Rheol 57(1):273–292

  4. Bonn D, Denn MM, Berthier L, Divoux T, Manneville S (2017) Yield stress materials in soft condensed matter. Rev Mod Phys 89(3):035005

  5. Bonnecaze RT, Cloitre M (2010) Micromechanics of soft particle glasses. High solid dispersions. Springer, Berlin, pp 117–161

  6. Boujlel J, Maillard M, Lindner A, Ovarlez G, Chateau X, Coussot P (2012) Boundary layer in pastes–displacement of a long object through a yield stress fluid. J Rheol 56(5):1083–1108

  7. Byron ML, Variano EA (2013) Refractive-index-matched hydrogel materials for measuring flow-structure interactions. Exp Fluids 54(2):1456

  8. Corbett AM, Phillips RJ, Kauten RJ, McCarthy KL (1995) Magnetic resonance imaging of concentration and velocity profiles of pure fluids and solid suspensions in rotating geometries. J Rheol 39(5):907–924

  9. Coussot P, Tabuteau H, Chateau X, Tocquer L, Ovarlez G (2006) Aging and solid or liquid behavior in pastes. J Rheol 50(6):975–994

  10. Diemunsch G, Prenel JP (1987) A compact light sheet generator for flow visualizations. Opt Laser Technol 19(3):141–144

  11. Dijksman JA, Rietz F, Lőrincz KA, van Hecke M, Losert W (2012) Invited article: refractive index matched scanning of dense granular materials. Rev Sci Instrum 83(1):011301

  12. Dinkgreve M, Michels MAJ, Mason TG, Bonn D (2018) Crossover between athermal jamming and the thermal glass transition of suspensions. Phys Rev Lett 121(22):228001

  13. Gallot T, Perge C, Grenard V, Fardin M-A, Taberlet N, Manneville S (2013) Ultrafast ultrasonic imaging coupled to rheometry: principle and illustration. Rev Sci Instrum 84(4):045107

  14. Gholami M, Rashedi A, Lenoir N, Hautemayou D, Ovarlez G, Hormozi S (2018) Time-resolved 2d concentration maps in flowing suspensions using X-ray. J Rheol 62(4):955–974

  15. Guerra RE (2014) Elasticity of compressed emulsions. PhD thesis

  16. Hampton RE, Mammoli AA, Graham AL, Tetlow N, Altobelli SA (1997) Migration of particles undergoing pressure-driven flow in a circular conduit. J Rheol 41(3):621–640

  17. Heindel TJ (2011) A review of X-ray flow visualization with applications to multiphase flows. J Fluids Eng 133(7):074001

  18. Hollingsworth KG, Sederman AJ, Buckley C, Gladden LF, Johns ML (2004) Fast emulsion droplet sizing using NMR self-diffusion measurements. J Colloid Interface Sci 274(1):244–250

  19. Kalender WA (2006) X-ray computed tomography. Phys Med Biol 51(13):R29

  20. Katgert G, Möbius ME, van Hecke M (2008) Rate dependence and role of disorder in linearly sheared two-dimensional foams. Phys Rev Lett 101(5):058301

  21. Katgert G, Latka A, Möbius ME, van Hecke M (2009) Flow in linearly sheared two-dimensional foams: from bubble to bulk scale. Phys Rev E 79(6):066318

  22. Kawasaki T, Coslovich D, Ikeda A, Berthier L (2015) Diverging viscosity and soft granular rheology in non-brownian suspensions. Phys Rev E 91(1):012203

  23. Leighton D, Acrivos A (1987) The shear-induced migration of particles in concentrated suspensions. J Fluid Mech 181:415–439

  24. Lerner E, Düring G, Wyart M (2012) A unified framework for non-Brownian suspension flows and soft amorphous solids. Proc Natl Acad Sci 109(13):4798–803

  25. Lyon MK, Leal LG (1998a) An experimental study of the motion of concentrated suspensions in two-dimensional channel flow. Part 1. Monodisperse systems. J Fluid Mech 363:25–56

  26. Lyon MK, Leal LG (1998b) An experimental study of the motion of concentrated suspensions in two-dimensional channel flow. Part 2. Bidisperse systems. J Fluid Mech 363:57–77

  27. Macosko CW, Larson RG (1994) Rheology: principles, measurements, and applications

  28. Manneville S, Bécu L, Colin A (2004) High-frequency ultrasonic speckle velocimetry in sheared complex fluids. Eur Phys J Appl Phys 28(3):361–373

  29. Mason TG, Bibette J, Weitz DA (1996) Yielding and flow of monodisperse emulsions. J Colloid Interface Sci 179(2):439–448

  30. Mason TG, Lacasse M-D, Grest GS, Levine D, Bibette J, Weitz DA (1997) Osmotic pressure and viscoelastic shear moduli of concentrated emulsions. Phys Rev E 56(3):3150

  31. Mohammad G, Ahmadreza R, Nicolas L, David H, Guillaume O, Hormozi S (2018) Time-resolved 2D concentration maps in flowing suspensions using X-ray. J Rheol 62(4):955–74

  32. Morris JF, Boulay F (1999) Curvilinear flows of noncolloidal suspensions: the role of normal stresses. J Rheol 43(5):1213–1237

  33. Nelson AZ, Ewoldt RH (2017) Design of yield-stress fluids: a rheology-to-structure inverse problem. Soft Matter 13(41):7578–7594

  34. Nguyen QD, Boger DV (1992) Measuring the flow properties of yield stress fluids. Annu Rev Fluid Mech 24(1):47–88

  35. Nott PR, Brady JF (1994) Pressure-driven flow of suspensions: simulation and theory. J Fluid Mech 275:157–199

  36. Olsson P, Teitel S (2011) Critical scaling of shearing rheology at the jamming transition of soft-core frictionless disks. Phys Rev E 83(3):030302

  37. Olsson P, Teitel S (2012) Herschel-bulkley shearing rheology near the athermal jamming transition. Phys Rev Lett 109(10):108001

  38. Ovarlez G, Bertrand F, Rodts S (2006) Local determination of the constitutive law of a dense suspension of noncolloidal particles through magnetic resonance imaging. J Rheol 50(3):259–292

  39. Ovarlez G, Mahaut F, Bertrand F, Chateau X (2011) Flows and heterogeneities with a vane tool: magnetic resonance imaging measurements. J Rheol 55(2):197–223

  40. Ovarlez G, Bertrand F, Coussot P, Chateau X (2012) Shear-induced sedimentation in yield stress fluids. J Nonnewton Fluid Mech 177:19–28

  41. Ovarlez G, Mahaut F, Deboeuf S, Lenoir N, Hormozi S, Chateau X (2015) Flows of suspensions of particles in yield stress fluids. J Rheol 59(6):1449–1486

  42. Pham PN (2016) Origin of shear-induced diffusion in particulate suspensions: crucial role of solid contacts between particles. PhD thesis, Aix-Marseille

  43. Phillips RJ, Armstrong RC, Brown RA, Graham AL, Abbott JR (1992) A constitutive equation for concentrated suspensions that accounts for shear-induced particle migration. Phys Fluids A 4(1):30–40

  44. Powell RL (2008) Experimental techniques for multiphase flows. Phys Fluids 20(4):040605

  45. Prenel JP, Jeudy M (1998) A new versatile laser sheet generator for flow visualization. Opt Laser Technol 30(8):533–538

  46. Rashedi A (2016) A study of surface wetting in oil-water flow in inclined pipeline. PhD thesis, Ohio University

  47. Raynaud JS, Moucheront P, Baudez JC, Bertrand F, Guilbaud JP, Coussot P (2002) Direct determination by nuclear magnetic resonance of the thixotropic and yielding behavior of suspensions. J Rheol 46(3):709–732

  48. Rodts S, Boujlel J, Rabideau B, Ovarlez G, Roussel N, Moucheront P, Lanos C, Bertrand F, Coussot P (2010) Solid–liquid transition and rejuvenation similarities in complex flows of thixotropic materials studied by NMR and MRI. Phys Rev E 81(2):021402

  49. Sarabian M, Firouznia M, Metzger B, Hormozi S (2019) Fully developed and transient concentration profiles of particulate suspensions sheared in a cylindrical couette cell. J Fluid Mech 862:659–671

  50. Schuster D (1996) Encyclopedia of emulsion technology, vol 4. CRC Press, Boca Raton

  51. Schwartz LW, Princen HM (1987) A theory of extensional viscosity for flowing foams and concentrated emulsions. J Colloid Interface Sci 118(1):201–211

  52. Simon D-B, Sarah H, Élisabeth G, Olivier P (2015) Rheology of dense suspensions of non-colloidal spheres in yield-stress fluids. J Fluid Mech 776:1

  53. Sinha-Ray S, Srikar R, Lee CC, Li A, Yarin AL (2011) Shear and elongational rheology of gypsum slurries. Appl Rheol 21(6):1–8

  54. Sinha-Ray S, Fezzaa K, Yarin AL (2013) The internal structure of suspensions in uniaxial elongation. J Appl Phys 113(4):044906

  55. Souzy M, Lhuissier H, Villermaux E, Metzger B (2017) Stretching and mixing in sheared particulate suspensions. J Fluid Mech 812:611–635

  56. Tiwari MK, Bazilevsky AV, Yarin AL, Megaridis CM (2009) Elongational and shear rheology of carbon nanotube suspensions. Rheol Acta 48(6):597–609

  57. Wiederseiner S, Andreini N, Epely-Chauvin G, Ancey C (2011) Refractive-index and density matching in concentrated particle suspensions: a review. Exp Fluids 50(5):1183–1206

  58. Yarin AL, Zussman E, Theron A, Rahimi S, Sobe Z, Hasan D (2004) Elongational behavior of gelled propellant simulants. J Rheol 48(1):101–116

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Acknowledgements

This work was supported by NSF (Grant no. CBET-1554044-CAREER) and ACS PRF (Grant no. 55661-DNI9) via the research awards (S.H.) and the support of IdEx-University of Bordeaux. Fruitful discussions with Mohammad Sarabian are acknowledged. We acknowledge Dr. Amir Farnoud for providing circulating water bath facility.

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Correspondence to Ahmadreza Rashedi.

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Rashedi, A., Ovarlez, G. & Hormozi, S. Engineered transparent emulsion to optically study particulate flows in yield stress fluids. Exp Fluids 61, 22 (2020). https://doi.org/10.1007/s00348-019-2858-3

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