A hybrid lattice Boltzmann model for surfactant-covered droplets

Soft Matter

Volumn 7, Issue 5, 2011, Pages 1968-1985

  Farhat, H ^a   Celiker, F ^b   Singh, T ^a   Lee, J S ^c  

^a Wayne State University   (United States)

^b WAYNE STATE UNIVERSITY   (United States)

^c Yonsei University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

BINARY FLUID MIXTURES; CONVECTION-DIFFUSION EQUATIONS; DROPLET DEFORMATION; DROPLET FLOW; EQUATION OF STATE; FINITE DIFFERENCE SCHEME; FLOW CONDITION; FLUID VELOCITY FIELD; HYBRID LATTICE; HYBRID MODEL; INTERFACE CURVATURES; INTERFACIAL TENSIONS; LATTICE-BOLTZMANN METHOD; SURFACTANT CONCENTRATIONS; TIME-DEPENDENT;

BINARY MIXTURES; DROP BREAKUP; EQUATIONS OF STATE; FINITE DIFFERENCE METHOD; FLUID DYNAMICS; NONIONIC SURFACTANTS;

DROP FORMATION;

EID: 79951909018     PISSN: 1744683X     EISSN: 17446848     Source Type: Journal    
DOI: 10.1039/c0sm00569j     Document Type: Article

References (44)

1. P. H. F. Hansen S. Rodner L. Bergstrom Langmuir 2001 17 16 4867 4875 (Pubitemid 39656776)
2. S. Alves S. Orvalho J. Vasconcelos Effect of bubble contamination on rise velocity and mass transfer Chem. Eng. Sci. 2004 60 1 9
3. R. Bel Fdhila P. C. Duineveld The effect of surfactant on the rise of a spherical bubble at high Reynolds and Péclet numbers Phys. Fluids 1996 8 310 321 (Pubitemid 126609149)
4. J. Chen K. J. Stebe Marangoni retardation of the terminal velocity of a settling droplet: The role of surfactant physic-chemistry J. Colloid Interface Sci. 1996 178 144 155 (Pubitemid 26166511)
5. R. Clift, J. Grace, M. Weber, Bubbles drops and particles, Dover, Mineola 2005
6. V. Cristini R. Hooper C. Macosko A numerical and experimental investigation of lamellar blend morphologies Ind. Eng. Chem. Res. 2002 41 6305 6311 (Pubitemid 35429820)
7. R. A. De Bruijn Tipstreaming of drops in simple shear flows Chem. Eng. Sci. 1993 48 277 284 (Pubitemid 23582957)
8. R. Defay. I. Prigogine. Surface Tension and Adsorption. John Wiley and Sons, New York, 1966
9. U. D'Ortona D. Salin Two-color Nonlinear Boltzmann cellular Automata: Surface Tension and Wetting Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top. 1995 51 3718 3728
10. M. A. Drumright-Clarke. Numerical simulations that characterize the effects of surfactant on drops in shear flow. Virginia Polytechnic Institute and State University 2002; Thesis: 1-81
11. M. A. Drumright-Clarke Y. Renardy The effect of insoluble surfactant at dilute concentration on drop breakup under shear with inertia Phys. Fluids 2004 16 1 8
12. C. D. Eggleton Y. P. Pawar K. J. Stebe Insoluble surfactants on a drop in an extensional flow: a generalization of the stagnated surface limit to deforming interfaces J. Fluid Mech. 1999 385 79 99
13. C. D. Eggleton K. J. Stebe An adsorption-desorption-controlled surfactant on a deforming droplet J. Colloid Interface Sci. 1998 208 68 80 (Pubitemid 28563532)
14. C. Eggleton T. Tsai K. J. Stebee Tip streaming from a drop in the presence of surfactants Phys. Rev. Lett. 2001 87 048302-1 4
15. K. Feigl M. Megias-Alguacil P. Fischer E. Windhab Simulation and experiments of drop deformation and orientation in simple shear flow with surfactants Chem. Eng. Sci. 2007 62 3242 3258 (Pubitemid 46726266)
16. A. A. Frumkin V. G. Levich On surfactants and interfacial motion Zhurnal Fizichesko Khimii 1947 21 1183
17. R. Griffith The effects of surfactants on the terminal velocity of drops and bubbles Chem. Eng. Sci. 1962 17 1057 1070
18. D. Grunau S. Chen K. Eggert A lattice Boltzmann model for multiphase fluid flows Phys. Fluids A 1993 5 2557 2561
19. I. Halliday A. Hollis M. Care Lattice Boltzmann algorithm for continuum multicomponent flow Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 2007 76 026708-11 13
20. I. Halliday R. Law C. Care A. Hollis Improved simulation of drop dynamics in a shear flow at low Reynolds and capillary number Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 2006 73 056708-1 11
21. A. Hollis I. Halliday R. Law Kinematic condition for multicomponent lattice Boltzmann simulation Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 2007 76 026709-1 6
22. Z. He C. Maldarelli Z. Dagan The size of stagnant caps of bulk soluble surfactant on the interfaces of translating fluid droplets J. Colloid Interface Sci. 1991 146 442 450
23. P. C. Hiemenz, and R. Rajagopalan. Principle of colloid and surface chemistry. Marcel Dekker Inc. 1997; Third edition
24. T. Hu A. Lips Estimating surfactant surface coverage and decomposing its effect on drop deformation Phys. Rev. Lett. 2003 91 044501-1 4
25. Y. Kruijt-Stegeman F. van de Voss H. Meijer Drop behavior in the presence of insoluble surfactants Phys. Fluids 2004 16 2785 2796 (Pubitemid 39147033)
26. C. Lai Y. Tseng H. Huang An immersed boundary method for interfacial flows with insoluble surfactant J. Comput. Phys. 2008 27 7279 7293
27. J. Latt. Hydrodynamic limit of the lattice Boltzmann equations. University of Geneva 2007; Thesis: 1-124
28. X. Li C. Pozridikis The effect of surfactants on drop deformation and on the rheology of dilute emulsions in Stokes flow J. Fluid Mech. 1997 341 165 194 (Pubitemid 127486044)
29. S. Lishchuk M. Care I. Halliday Lattice Boltzmann algorithm for surface tension with greatly reduced microcurrents Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 2003 67 036701-1 5
30. S. Lyu T. Jones F. Bates C. Macosko Role of block copolymers in suppression of drop coalescence Macromolecules 2002 35 7845 7855
31. D. Maini. VOF Based Multiphase Lattice Boltzmann Method Using Explicit Kinematic Boundary Conditions at the Interface. University of Georgia 2007; Thesis: 1-72
32. W. J. Milliken L. G. Leal The influence of surfactant on the deformation and breakup of a viscous drop: The effect of surfactant solubility J. Colloid Interface Sci. 1994 166 275 285
33. W. J. Milliken H. Stone L. G. Leal The effect of surfactant on the transient motion of Newtonian drops Phys. Fluids A 1993 5 69 79
34. Y. Pawar J. S. Stebe Marangoni effects on drop deformation in an extensional flow: The role of surfactant physical chemistry. I. Insoluble surfactants Phys. Fluids 1996 8 1738 1751 (Pubitemid 126631624)
35. H. A. Stone L. G. Leal The effects of surfactants on drop deformation and breakup J. Fluid Mech. 1990 220 161 186
36. U. Sundararaj C. Macosko Drop brakeup and coalescence in polymer blends: the effects of concentration and compatibilization Macromolecules 1995 28 2647 2657
37. J. Tannehill, D. Anderson, R. Pletcher. Computational fluid mechanics and heat transfer. Taylor & Francis second edition; 1-792, 1997
38. S. Tasoglu U. Demicri M. Muradoglu The effect of soluble surfactant on the transient motion of a buoyancy-driven bubble Phys. Fluids 2008 20 040805 040805-15
39. S. Van der Graaf. Membrane emulsification: drop formation and effects of interfacial tension. Wageningen University, Amsterdam 2006; Thesis: 1-159
40. R. van der Snam S. van der Graaf Diffuse interface model of surfactant adsorption into flat and drop interfaces Rheol. Acta 2006 46 3 11
41. S. Velankar H. Zhou H. Kyoung Jeon C. Macosko CFD evaluation of drop retraction methods for the measurement of interfacial tension of surfactant-laden drops J. Colloid Interface Sci. 2004 272 172 185 (Pubitemid 38230373)
42. P. Vlahovska. Dynamics of surfactant-covered drop and the non-Newtonian rheology of emulsions. Yale University 2003; Thesis: 1-152
43. P. Vlahovska M. Loewenberg J. Blawzdziewicz Deformation of surfactant covered drop in a linear flow Phys. Fluids 2005 17 103103-1 18
44. A. Williams J. Janssen A. Prins Behaviour of drops in simple shear flow in the presence of protein emulsifier Colloids Surf., A 1997 125 189 200 (Pubitemid 27348727)