Simulation and experiments of droplet deformation and orientation in simple shear flow with surfactants

Chemical Engineering Science

Volumn 62, Issue 12, 2007, Pages 3242-3258

  Feigl, Kathleen ^a   Megias Alguacil, David ^b   Fischer, Peter ^b   Windhab, Erich J ^b  

^a MICHIGAN TECHNOLOGICAL UNIVERSITY   (United States)

^b ETH ZURICH   (Switzerland)

Author keywords

Drop deformation; Emulsions; Shear flow; Simulations; Surfactants

Indexed keywords

COMPUTER SIMULATION; EMULSIONS; NUMERICAL METHODS; SHEAR FLOW; SURFACE ACTIVE AGENTS; VISCOSITY;

BOUNDARY INTEGRAL METHOD; DROP GEOMETRY; NON-IONIC SURFACTANT; VISCOSITY RATIO;

DROP FORMATION;

COMPUTER SIMULATION; DROP FORMATION; EMULSIONS; NUMERICAL METHODS; SHEAR FLOW; SURFACE ACTIVE AGENTS; VISCOSITY;

EID: 34248197872     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ces.2007.02.008     Document Type: Article

References (64)

1. Adamson A.W. Physical Chemistry of Surfaces. third ed. (1976), Wiley, New York
2. Anderson A., Zheng X., and Cristini V. Adaptive unstructured volume remeshing-I: The method. Journal of Computational Physics 208 (2005) 616-625
3. Aris R. Vectors, Tensors, and the Basic Equations of Fluid Mechanics (1962), Prentice-Hall, Englewood Cliffs, NJ
4. Bentley B.J., and Leal L.G. An experimental investigation of drop deformation and breakup in steady, two-dimensional linear flows. Journal of Fluid Mechanics 167 (1986) 241-283
5. Bigio D.I., Marks C.R., and Calabrese R.V. Predicting drop breakup in complex flows from model flow experiments. International Polymer Processing 13 2 (1998) 192-198
6. Birkhofer B.H., Eischen J.C., Megias-Alguacil D., Fischer P., and Windhab E.J. Computer-controlled flow cell for the study of particle and drop dynamics in shear flow fields. Industrial & Engineering Chemistry Research 44 (2005) 6999-7009
7. Cristini V., and Tan Y.-C. Theory and numerical simulation of droplet dynamics in complex flows-a review. Lab on a Chip 4 4 (2004) 257-264
8. Cristini V., and Renardy Y. Scalings for droplet sizes in shear-driven breakup: non-microfluidic ways to monodisperse emulsions. Fluid Dynamics and Materials Processing 2 2 (2006) 77-93
9. Cristini V., Blawzdziewicz J., and Loewenberg M. Droplet breakup in three-dimensional viscous flows. Physics of Fluids 10 (1998) 1781-1783
10. Cristini V., Blawzdziewicz J., and Loewenberg M. An adaptive mesh algorithm for evolving surfaces: simulations of drop breakup and coalescence. Journal of Computational Physics 168 (2001) 445-463
11. Cristini V., Guido S., Alfani A., Blawzdziewicz J., and Loewenberg M. Drop breakup and fragment size distribution in shear flow. Journal of Rheology 47 5 (2003) 1283-1298
12. Dressler M., and Edwards B.J. Rheology of polymer blends with matrix-phase viscoelasticity and a narrow droplet size distribution. Journal of Non-Newtonian Fluid Mechanics 120 (2004) 189-205
13. Dressler M., and Edwards B.J. The influence of matrix viscoelasticity on the rheology of polymer blends. Rheological Acta 43 (2004) 257-282
14. Drumright-Clark M.A., and Renardy Y. The effect of insoluble surfactant at dilute concentration on drop breakup under shear with inertia. Physics of Fluids 16 1 (2004) 14-21
15. Eggleton C.D., and Stebe. An adsorption-desorption-controlled surfactant on a deforming droplet. Journal of Colloid and Interface Science 208 (1998) 68-80
16. Eggleton C.D., Pawar Y.P., and Stebe K.J. Insoluble surfactants on a drop in an extensional flow: a generalization of the stagnated surface limit to deforming interfaces. Journal of Fluid Mechanics 385 (1999) 79-99
17. Eggleton C.D., Tsai T.-M., and Stebe K.J. Tip streaming from a drop in the presence of surfactants. Physical Review Letters 87 (2001) 048302
18. Feigl K., Kaufmann S.F.M., Fischer P., and Windhab E.J. A numerical procedure for calculating droplet deformation in dispersing flows and experimental verification. Chemical Engineering Science 58 (2003) 2351-2363
19. Godbille F.D., and Picot J.J.C. Drop breakup in combined shear and extensional flow conditions. Advances in Polymer Technology 19 1 (2000) 14-21
20. Grace H.P. Dispersion phenomena in high viscosity immiscible fluid systems and application of static mixers as dispersion devices in such systems. Chemical Engineering Communications 14 (1982) 225-277
21. Greco F. Drop deformation for non-Newtonian fluids in slow flows. Journal of Non-Newtonian Fluid Mechanics 107 (2002) 111-131
22. Guido S., and Greco F. Drop shape under slow steady shear flow and during relaxation. Experimental results and comparison with theory. Rheology Acta 40 (2001) 176-184
23. Guido, S., Greco, F., 2004. Dynamics of a liquid drop in a flowing immiscible liquid. In: Binding, D.M., Walters, K., (Eds). Rheology Reviews 2004, British Society of Rheology, pp. 99-142.
24. Guido S., and Villone M. Three-dimensional shape of a drop under simple shear flow. Journal of Rheology 42 (1998) 395-415
25. Guido S., Greco F., and Villone M. Experimental determination of drop shape in slow steady shear flow. Journal of Colloid Interface Science 219 (1999) 298-309
26. Guido S., Minale M., and Maffettone P.L. Drop shape dynamics under shear-flow reversal. Journal of Rheology 44 (2000) 1385-1399
27. Guido S., Simeone M., and Greco F. Deformation of a Newtonian drop in a viscoelastic matrix under steady sehar flow. Experimental validation of slow flow theory. Journal of Non-Newtonian Fluid Mechanics 114 (2003) 65-82
28. Guido S., Simeone M., and Greco F. Effects of matrix viscoelasticity on drop deformation in dilute polymer blends under slow shear flow. Polymer 44 (2003) 467-471
29. Gunde R., Dawes M., and Hartland S. Surface tension of waste water samples measured by the drop volume method. Environmental Science and Technology 26 (1992) 1036-1040
30. Janssen J.J.M., Boon A., and Agterof W.G.M. Influence of dynamic interfacial properties on droplet breakup in plane hyperbolic flow. A.I.Ch.E. Journal 43 6 (1997) 1436-1447
31. Kaufmann S.F.M., Fischer P., Feigl K., and Windhab E.J. Investigation and visualization of droplet deformation and breakup in complex flow fields. Proceedings of ICEF 9, International Congress on Engineering and Food [CD-ROM] (2004), Montpellier, France
32. Kruijt-Stegeman Y.W., van de Vosse F.N., and Meijer H.E.H. Droplet behavior in the presence of insoluble surfactants. Physics of Fluids 16 8 (2004) 2785-2796
33. Ladyzhenskaya O.A. The Mathematical Theory of Viscous Incompressible Flow. second ed. (1969), Gordon & Breach, New York
34. Li J., Renardy Y., and Renardy M. Numerical simulation of breakup of a viscous drop in simple shear flow through a volume-of-fluid method. Physics of Fluids 12 2 (2000) 269-282
35. Li X., and Pozrikidis C. The effect of surfactants on drop deformation and on the rheology of dilute emulsions in Stokes flow. Journal of Fluid Mechanics 341 (1997) 165-194
36. Loewenberg M., and Hinch E.J. Numerical simulation of a concentrated emulsion in shear flows. Journal of Fluid Mechanics 321 (1996) 395-419
37. Maffetone P.L., and Greco F. An ellipsoidal drop model for single drop dynamics with non-Newtonian fluids. Journal of Rheology 48 (2004) 83-100
38. Megias-Alguacil D., Feigl K., Dressler M., Fischer P., and Windhab E.J. Droplet deformation under simple shear investigated by experiments, numerical simulation and modeling. Journal of Non-Newtonian Fluid Mechanics 126 2-3 (2005) 153-161
39. Megias-Alguacil D., Fischer P., and Windhab E.J. Determination of the interfacial tension of low density difference liquid-liquid systems containing surfactants by droplet deformation methods. Chemical Engineering Science 61 5 (2006) 1386-1394
40. Milliken W.J., and Leal L.G. The influence of surfactant on the deformation and breakup of a viscous drop: the effect of surfactant solubility. Journal of Colloid and Interface Science 166 (1994) 275-285
41. Milliken W.J., Stone H.A., and Leal L.G. The effect of surfactant on the transient motion of Newtonian drops. Physics of Fluids A 5 (1993) 69-79
42. Pawar Y., and Stebe K.J. Marangoni effects on drop deformation in an extensional flow: the role of surfactant physical chemistry. I. Insoluble surfactants. Physics of Fluids A 8 (1996) 1738-1751
43. Phillips W.J., Graves R.W., and Flumerfelt R.J. Experimental studies of drop dynamics in shear fields: role of dynamic interfacial effects. Journal of Colloid and Interface Science 76 (1980) 350-370
44. Pozrikidis C. Boundary Integral and Singularity Methods for Linearized Viscous Flow (1992), Cambridge University Press, Cambridge, UK
45. Pozrikidis C. Effects of surface viscosity on the finite deformation of a liquid drop and the rheology of dilute emulsions in simple shearing flow. Journal of Non-Newtonian Fluid Mechanics 51 (1994) 161-178
46. Rallison J.M. Note on the time-dependent deformation of a viscous drop which is almost spherical. Journal of Fluid Mechanics 98 3 (1980) 625-633
47. Rallison J.M. A numerical study of the deformation and burst of a viscous drop in general shear flows. Journal of Fluid Mechanics 109 (1981) 465-482
48. Rallison J.M., and Acrivos A. A numerical study of the deformation and burst of a viscous drop in an extensional flow. Journal of Fluid Mechanics 89 (1978) 191-200
49. Renardy Y., and Cristini V. Effect of inertia on drop breakup under shear. Physics of Fluids 13 1 (2001) 7-13
50. Renardy Y., and Cristini V. Scaling for fragments produced from drop breakup in shear flow with inertia. Physics of Fluids 13 8 (2001) 2161-2164
51. Renardy Y., Renardy M., and Cristini V. A new volume-of-fluid formulation for surfactants and simulations of drop deformation under shear at a low viscosity ratio. European Journal of Mechanics B/Fluids 21 (2002) 49-59
52. Renardy Y., Cristini V., and Li J. Drop fragment distributions under shear with inertia. International Journal of Multiphase Flow 28 (2002) 1125-1147
53. Sibillo V., Pasquariello G., Simeone M., Cristini V., and Guido S. Drop deformation in microconfined shear flow. Physical Review Letters 97 (2006) 054502
54. Stone H.A. A simple derivation of the time-dependent convective-diffusion equation for surfactant transport along a deforming interface. Physics of Fluids A 2 1 (1990) 111-112
55. Stone H.A., and Leal L.G. A note concerning drop deformation and breakup in biaxial extensional flows at low Reynolds numbers. Journal of Colloid and Interface Science 133 2 (1989) 340-347
56. Stone H.A., and Leal L.G. The influence of initial deformation on drop breakup in subcritical time-dependent flows at low Reynolds numbers. Journal of Fluid Mechanics 206 (1989) 223-263
57. Stone H.A., and Leal L.G. The effects of surfactants on drop deformation and breakup. Journal of Fluid Mechanics 220 (1990) 161-186
58. Stone H.A., Bentley B.J., and Leal L.G. An experimental study of transient effects in the breakup of viscous drops. Journal of Fluid Mechanics 173 (1986) 131-158
59. Taylor G.I. The formation of emulsions in definable fields of flow. Proceedings of Royal Society of London Series A 146 (1934) 501-523
60. Tjahjadi M., and Ottino J.M. Stretching and breakup of droplets in chaotic flows. Journal of Fluid Mechanics 232 (1991) 191-219
61. Vlahovska P.M., Loewenberg M., and Blawzdziewicz J. Deformation of a surfactant-covered drop in a linear flow. Physics of Fluids 17 (2005) 103103
62. Waxman A.M. Dynamics of a couple-stress fluid membrane. Studies in Applied Mathematics 70 (1984) 63-86
63. Windhab E.J., Dressler M., Feigl K., Fischer P., and Megias-Alguacil D. Emulsion processing-from single-drop deformation to design of complex processes and products. Chemical Engineering Science 60 (2005) 2101-2113
64. Zheng X., Lowengrub J., Anderson A., and Cristini V. Adaptive unstructured volume remeshing-II: Application to two- and three-dimensional level-set simulations of multiphase flow. Journal of Computational Physics 208 (2005) 626-650