Flow deformation of polymer blend droplets and the role of block copolymer compatibilizers

Physics of Fluids

Volumn 18, Issue 4, 2006, Pages

  Narayanan, Bharadwaj ^a   Ganesan, Venkat ^a  

^a The University of Texas at Austin   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BLOCK COPOLYMERS; BROWNIAN MOVEMENT; COMPUTER SIMULATION; DEFORMATION; DROP FORMATION; FLOW OF FLUIDS; INTERFACES (MATERIALS); RHEOLOGY; STRESSES; SURFACE TENSION;

COMPATIBILIZERS; FLOW DEFORMATION; MARANGONI STRESSES; NORMAL STRESSES;

POLYMER BLENDS;

BLOCK COPOLYMERS; BROWNIAN MOVEMENT; COMPUTER SIMULATION; DEFORMATION; DROP FORMATION; FLOW OF FLUIDS; INTERFACES (MATERIALS); POLYMER BLENDS; RHEOLOGY; STRESSES; SURFACE TENSION;

EID: 33745609283     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2195464     Document Type: Article

References (54)

1. W. J. Milliken, H. A. Stone, and L. G. Leal, "The effect of surfactant on the transient motion of Newtonian drops," Phys. Fluids APFADEB0899-821310.1063/1.858790 5, 69 (1993).
2. W. J. Milliken and L. G. Leal, "The influence of surfactants on the deformation and breakup of a viscous drop: The effect of surfactant solubility," J. Colloid Interface Sci.JCISA50021-979710.1006/ jcis.1994.1296 166, 275 (1993).
3. X. Li and C. Pozrikidis, "The effect of surfactants on drop deformation and on the rheology of dilute emulsions in Stokes flow," J. Fluid Mech.JFLSA70022-112010.1017/S0022112097005508 341, 165 (1997).
4. S. Yon and C. Pozrikidis, "A finite-volume/boundary element method for flow past interfaces in the presence of surfactants with applications to shear flow past a viscous drop," Comput. FluidsCPFLBI0045-793010.1016/S0045-7930(98)00013-9 27, 879 (1998).
5. Y. T. Hu and A. Lips, "Estimating surfactant surface coverage and decomposing its effect on drop deformation," Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.91.044501 91, 044501 (2003).
6. C. D. Eggleton, Y. P. Pawar, and K. J. Stebe, "Insoluble surfactant on a drop in an extensional flow: A generalization of stagnated surface limit to deforming interfaces," J. Fluid Mech.JFLSA70022-112010.1017/S0022112098004054 385, 79 (1999).
7. H. A. Stone and L. G. Leal, "The effects of surfactants on drop deformation and breakup," J. Fluid Mech.JFLSA70022-1120 220, 161 (1990).
8. D. R. Paul and C. B. Bucknall, Polymer Blends (Wiley, New York, 2000).
9. Y. T. Hu, D. J. Pine, and L. G. Leal, "Drop deformation, breakup and coalescence with compatibilizers," Phys. FluidsPHFLE61070-663110.1063/1.870254 12, 484 (2000).
10. J. J. M. Janssen, A. Boon, and W. G. M. Agterof, "Influence of dynamic interfacial properties on droplet breakup in plane hyperbolic flow," AIChE J.AICEAC0001-154110.1002/aic.690430607 43, 1436 (1997).
11. R. A. De Bruijn, "Tip streaming of drops in simple shear flows," Chem. Eng. Sci.CESCAC0009-250910.1016/0009-2509(93)80015-I 48, 277 (1993).
12. A. Williams, J. J. M. Janssen, and A. Prins, "Behavior of droplets in simple shear flow in the presence of a protein emulsifier," Colloids Surf., ACPEAEH0927-775710.1016/S0927-7757(96)03972-6 125, 189 (1997).
13. J. M. Rallison, "The deformation of small viscous drops and bubbles in shear flows," Annu. Rev. Fluid Mech.ARVFA30066-418910.1146/ annurev.fluid.16.1.45 16, 45 (1984).
14. P. L. Maffettone and M. Minale, "Equation of change for ellipsoidal drops in viscous flow," J. Non-Newtonian Fluid Mech.JNFMDI0377-025710.1016/S0377-0257(98)00065-2 78, 227 (1998).
15. F. Greco, "Drop deformation for non-Newtonian fluids in slow flows," J. Non-Newtonian Fluid Mech.JNFMDI0377-025710.1016/ S0377-0257(02)00144-1 107, 111 (2002).
16. Y. Y. Renardy, M. Renardy, and V. Cristini, "A new volume-of-fluid formulation for surfactants and simulations of drop deformation under shear at a low viscosity ratio," Eur. J. Mech. B/ FluidsEJBFEV0997-754610.1016/S0997-7546(01)01159-1 21, 49 (2002).
17. U. Sundararaj and C. W. Macosko, "Drop breakup and coalescence in polymer blends: The effects of concentration and compatibilization," MacromoleculesMAMOBX0024-929710.1021/ ma00112a009 28, 2647 (1995).
18. M. Doi and S. F. Edwards, The Theory of Polymer Dynamics (Oxford University Press, Oxford, 1986).
19. L. Levitt and C. W. Macosko, "Influence of normal stress difference in polymer drop deformation," Polym. Eng. Sci.PYESAZ0032-388810.1002/pen.10561 36, 1647 (1996).
20. H. K. Jeon and C. W. Macosko, "Visualization of block copolymer distribution on a sheared drop," PolymerPOLMAG0032-386110.1016/ S0032-3861(03)00474-9 44, 5381 (2003).
21. C. Pozrikidis, "A finite-element method for interfacial surfactant transport, with application to the flow-induced deformation of a viscous drop," J. Fluid Mech.JFLSA70022-1120 37, 601 (1969).
22. D. Gersappe and A. C. Balazs, "Random copolymers as effective compatibilizing agents," Phys. Rev. EPLEEE81063-651X10.1103/ PhysRevE.52.5061 52, 5061 (1995); M. S. Lee, T. P. Lodge, and C. W. Macosko, "Can random copolymers serve as effective polymeric compatibilizers?" J. Polym. Sci., Part B: Polym. Phys.JPBPEM0887-626610.1002/ (SICI)1099-0488(199712)35:17<2835::AID-POLB8>3.3.CO;2-C 35, 2835 (1997).
23. L. Levitt and C. W. Macosko, "Shearing of polymer drops with interface modification," MacromoleculesMAMOBX0024-929710.1021/ ma9814999 32, 6270 (1999).
24. B. Narayanan, V. A. Pryamitsyn, and V. Ganesan, "Interfacial phenomena in polymer blends: A self-consistent Brownian dynamics study," MacromoleculesMAMOBX0024-929710.1021/ma048986a 37, 10180 (2004).
25. L. Leibler, "Emulsifying effects of block copolymers in incompatible polymer blends," Makromol. Chem., Macromol. Symp.MCMSES0258-0322 16, 1 (1988).
26. J. C. Lepers and B. D. Favis, "Interfacial tension reduction and coalescence suppression in compatibilized polymer blends," AIChE J.AICEAC0001-154110.1002/aic.690450419 45, 887 (1999).
27. P. L. Maffettone and F. Greco, "Ellipsoidal drop model for single drop dynamics with non-Newtonian fluids," J. Rheol.JORHD20148-605510.1122/1.1626675 48, 83 (2004); P. T. Yue, J. J. Feng, C. Liu, and J. Shen, "Viscoelastic effects on drop deformation in steady shear," J. Fluid Mech.JFLSA70022-112010.1017/ S0022112005006166 540, 427 (2005).
28. A. J. Wagner and J. M. Yeomans, "Effect of shear on droplets in a binary mixture," Int. J. Mod. Phys. CIJMPEO0129-183110.1142/ S0129183197000667 8, 773 (1997).
29. L. Giraud, D. D'Humieres, and P. Lallemand, "A lattice Boltzmann model for Jeffreys viscoelastic fluid," Europhys. Lett.EULEEJ0295-507510.1209/epl/i1998-00296-0 42, 625 (1998).
30. S. Chen, N. Phan-Thien, X. J. Fan, and B. C. Khoo, "Dissipative particle dynamics simulation of polymer drops in periodic shear flow," J. Non-Newtonian Fluid Mech.JNFMDI0377-025710.1016/ j.jnnfm.2004.02.005 118, 65 (2004).
31. V. Ganesan and V. A. Pryamitsyn, "Dynamical mean field theory for inhomogeneous polymeric systems," J. Chem. Phys.JCPSA60021-960610.1063/1.1557052 118, 4345 (2003).
32. Z. G. Wang and S. A. Safran, "Curvature elasticity of diblock copolymer monolayers," J. Chem. Phys.JCPSA60021-960610.1063/ 1.460334 94, 679 (1991).
33. K. M. Palmer and D. C. Morse, "Statistical mechanics of microemulsions: Droplet phases and macroscopic interfaces," J. Chem. Phys.JCPSA60021-960610.1063/1.472915 105, 11147 (1996).
34. M. W. Matsen and M. Schick, "Stable and unstable phases of a diblock copolymer melt," Phys. Rev. Lett.PRLTAO0031-900710.1103/ PhysRevLett.72.2660 72, 2660 (1994).
35. V. Ganesan and G. H. Fredrickson, "Field-theoretic polymer simulations," Europhys. Lett.EULEEJ0295-507510.1209/epl/ i2001-00353-8 55, 814 (2001).
36. E. Helfand and Y. Tagami, "Theory of the interface between immiscible polymers," J. Polym. Sci., Part B: Polym. Lett.JPSBDU0449-298610.1002/pol.1971.110091006 9, 741 (1971).
37. D. Duchs, V. Ganesan, G. H. Fredrickson, and F. Schmidt, "Fluctuation effects in ternary AB+A+B polymeric emulsions," MacromoleculesMAMOBX0024-929710.1021/ma030201y 36, 9237 (2003).
38. M. P. Allen and D. J. Tildesley, Computer Simulation of Liquids (Oxford University Press, Oxford, 1987).
39. G. I. Taylor, "The viscosity of fluid containing small drops of another fluid," Proc. R. Soc. London, Ser. APRLAAZ1364-5021 138, 41 (1932).
40. A. J. Wagner, L. M. Wilson, and M. E. Cates, "Role of inertia in two-dimensional deformation and breakdown of a droplet," Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.68.045301 68, 045301 (2003).
41. H. Zhou and C. Pozrikidis, "The flow of suspensions in channels: Single files of drops," Phys. Fluids APFADEB0899-8213 5, 311 (1993).
42. P. Van Puyvelde, S. Velankar, and P. Moldenaers, "Rheology and morphology of compatibilized polymer blends," Curr. Opin. Colloid Interface Sci.COCSFL1359-029410.1016/S1359-0294(01)00113-3 6, 457 (2001).
43. P. Van Puyvelde, S. Velankar, J. Mewis, and P. Moldenaers, "Effects of Marangoni stresses on the deformation and coalescence in compatibilized immiscible polymer blends," Polym. Eng. Sci.PYESAZ0032-388810.1002/pen.11088 42, 1956 (2002).
44. P. Van Puyvelde, S. Velankar, J. Mewis, and P. Moldenaers, "Effects of compatibilization on the breakup of polymer drops in shear flow," J. Rheol.JORHD20148-605510.1122/1.1380424 45, 1007 (2001).
45. W. R. Schowalter, C. E. Chaffey, and H. Brenner, "Rheological behavior of a dilute emulsion," J. Colloid Interface Sci.JCISA50021-979710.1016/0021-9797(68)90307-X 26, 152 (1968).
46. S. H. Anastasiadis, I. Gancarz, and J. T. Koberstein, "Compatibilizing effect of block copolymers added to the polymer-polymer interface," MacromoleculesMAMOBX0024-929710.1021/ ma00193a074 22, 1449 (1989).
47. M. W. Matsen, "Elastic properties of diblock copolymer monolayer and their relevance to bicontinuous microemulsion," J. Chem. Phys.JCPSA60021-960610.1063/1.478349 110, 4658 (1998).
48. C. Pozrikidis, "Effect of membrane bending stiffness on the deformation of capsules in simple shear flow," J. Fluid Mech.JFLSA70022-112010.1017/S0022112001004657 440, 269 (2001).
49. S. T. Milner, "Relating the shear-thinning curve to the molecular weight distribution in linear polymer melts," J. Rheol.JORHD20148-605510.1122/1.550742 40, 303 (1996); J. Descloizeaux, "Double reptation vs single reptation in polymer melts," Europhys. Lett.EULEEJ0295-5075 5, 437 (1988).
50. M. Doi and T. Ohta, "Dynamics and rheology of complex interfaces," J. Chem. Phys.JCPSA60021-960610.1063/1.461156 95, 1242 (1991).
51. P. Van Puyvelde, S. Velankar, J. Mewis, and P. Moldenaers, "Steady shear rheological properties of model compatibilized blends," J. Rheol.JORHD20148-605510.1122/1.1765662 48, 725 (2004).
52. R. Zhao and C. W. Macosko, "Slip at polymer-polymer interfaces: Rheological measurements of coextruded multilayers," J. Rheol.JORHD20148-605510.1122/1.1427912 46, 145 (2002).
53. P. Van Puyvelde, Z. Dommen, P. Koets, G. Groeninckx, and P. Moldenaers, "Effect of reactive compatibilization on the interfacial slip in nylon-6/EPR blends," Polym. Eng. Sci.PYESAZ0032-3888 43, 71 (2003).
54. J. G. Oldroyd, "The effect of interfacial films on the elastic and viscous properties of emulsions," Proc. R. Soc. London, Ser. APRLAAZ1364-5021 232, 567 (1955).