Experimental study on the capillary thinning of entangled polymer solutions

Rheologica Acta

Volumn 53, Issue 9, 2014, Pages 725-739

  Sachsenheimer, Dirk ^a   Hochstein, Bernhard ^a   Willenbacher, Norbert ^a  

^a KARLSRUHE INSTITUTE OF TECHNOLOGY   (Germany)

Author keywords

CaBER; Elongational viscosity; Filament stretching; Polymer solution; Relaxation time; Wormlike micelles

Indexed keywords

EID: 84956785151     PISSN: 00354511     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00397-014-0789-8     Document Type: Article

References (87)

1. Ameri David RL, Wei MH, Kornfield JA (2009) Effects of pairwise, donor–acceptor functional groups on polymer solubility, solution viscosity and mist control. Polymer 50 (26):6323–6330
2. Anna SL, McKinley GH (2001a) Elasto-capillary thinning and breakup of model elastic liquids. J Rheol 45:115–138
3. Anna SL, McKinley GH, Nguyen DA, Sridhar T, Muller SJ, Huang J, James DF (2001b) An inter-laboratory comparison of measurements from filament stretching rheometers using common test fluids. J Rheol 45:83–114
4. Anna SL, Rogers C, McKinley GH (1999) On controlling the kinematics of a filament stretching rheometer using a real-time active control mechanism. J Non-Newton Fluid Mech 87:307–335
5. Arnolds O, Buggisch H, Sachsenheimer D, Willenbacher N (2010) Capillary breakup extensional rheometry (CaBER) on semi-dilute and concentrated polyethylene oxide (PEO) solutions. Rheol Acta 49:1207–1217
6. Arratia PE, Cramer LA, Gollub JP, Durian DJ (2009) The effects of polymer molecular weight on filament thinning and drop breakup in microchannels. New Jour of Phys 11:115–006
7. Bach A, Rasmussen HK, Hassager O (2003) Extensional viscosity for polymer melts measured in the filament stretching rheometer. J Rheol 47 (2):429–441
8. Bazilevskii AV, Entov VM et al (1997) Failure of polymer solution filaments. Polym Sci A 39:316–324
9. Bazilevsky AV, Entov VM, Rozhkov AN (1990) Liquid filament microrheometer and some of its applications. In: Oliver DR (ed) conference, Third European rheology. Elsevier, San Diego, pp 41–43
10. Bazilevsky AV, Entov VM, Rozhkov AN (2001) Breakup of an Oldroyd liquid bridge as a method for testing the rheological properties of polymer solutions. Polym Sci Ser A 43:716–726
11. Becerra M, Carvalho MS (2011) Stability of viscoelastic liquid curtain. Eng and Proc 50:445–449
12. Berret JF, Appell J, Porte G (1993) Linear rheology of entangled wormlike micelles. Langmuir 9:2851–2854
13. Bhardwaj A, Miller E, Rothstein JP (2007a) Filament stretching and capillary breakup extensional rheometry measurements of viscoelastic wormlike micelle solutions. J Rheol 51:693–719
14. Bhardwaj A, Richter D, Chellamuthu M, Rothstein JP (2007b) The effect of preshear on the extensional rheology of wormlike micelle solutions. Rheol Acta 46:861–875
15. Bischoff White EE, Chellamuthu M, Rothstein JP (2010) Extensional rheology of a shear-thickening cornstarch and water suspension. Rheol Acta 49:119–129
16. Böhme G (2000) Strömungsmechanik nichtnewtonischer Fluide. Teuber, Stuttgart
17. Brenner M, Lister J, Stone H (1996) Pinching threads, singularities and the number 0.0304. Phys Fluids 8:2827–2836
18. Campo-Deaño L, Clasen C (2010) The slow retraction method (SRM) for the determination of ultra-sort relaxation times in capillary breakup extensional rheometry experiments. J Non-Newton Fluid Mech 165:1688–1699
19. Cates ME (1987) Reptation of living polymers: dynamics of entangled polymers in the presence of reversible chain-scission reactions. Macromolecules 20:2289–2296
20. Cates ME (1988) Dynamics of living polymers and flexible surfactant micelles: scaling laws for dilution. J Phys France 49 (9):1593–1600
21. Cates ME (1996) Dynamics of living polymers and flexible surfactant micelles: scaling laws for dilution. J Phys France 49 (9):1593–1600
22. Chellamuthu M, Rothstein JP (2008) Distinguishing between linear and branched wormlike micelle solutions using extensional rheology measurements. J Rheol 52:865–884
23. Chen L, Bromberg L, Hatton TA, Rutledge GC (2008). Electrospun cellulose acetate fibers containing chlorhexidine as a bactericide 49 (5):1266–1275
24. Christanti Y, Walker LM (2001) Surface tension driven jet break up of strain-hardening polymer solutions. J Non-Newtonian Fluid Mech 100:9–26
25. Christanti Y, Walker LM (2002) Effect of fluid relaxation time of dilute polymer solutions on jet breakup due to a forced disturbance. J Rheol 46:733–748
26. Clasen C, Eggers J, Fontelos MA, Li J, McKinley GH (2006a) The beads on-string structure of viscoelastic threads. J Fluid Mech 556:283–308
27. Clasen C, Plog JP, et al. (2006b) How dilute are dilute solutions in extensional flows J Rheol 50:849–881
28. Clasen C (2010) Capillary breakup extensional rheometry of semi-dilute polymer solutions. K-A Rheol J 22:331–338
29. Cromer M, Cook PL, McKinley GH (2009) Extensional flow of wormlike micellar solutions. Chem Eng Science 64:4588–4596
30. Eggers J (1993) Universal pinching of 3D axisymmetric free-surface flows. Phys Rev Lett 71:3458–3490
31. Eggers J (1997) Nonlinear dynamics and breakup of free-surface fows. Rev Mod Phys 69:865–930
32. Entov VM, Hinch EJ (1997) Effect of a spectrum of relaxation times on the capillary thinning of a filament of elastic liquid. J Non-Newton Fluid Mech 72:31–53
33. Erni P, Varagnat M, Clasen C, Crest J, McKinley GH (2011) Microrheometry of sub-nanolitre biopolymer samples: non-Newtonian flow phenomena of carnivorous plant mucilage. Soft Matter 7:10889–10898
34. Germann N, Cook LP, Beris AN (2013) Nonequilibrium thermodynamic modeling of the structure and rheology of concentrated wormlike micellar solutions. J Non-Newton Fluid Mech 196:51–57
35. Gier S, Wagner C (2012) Visualization of the flow profile inside a thinning filament during capillary breakup of a polymer solution via particle image velocimetry and particle tracking velocimetry. Phys Fluids 24:053–102
36. Haward SJ, McKinley GH (2012b) Stagnation point flow of wormlike micellar solutions in a microfluidic cross-slot device: Effects of surfactant concentration and ionic environment. Phys Rev E 85:031–502
37. Haward SJ, Sharma V, Butts CP, McKinley GH, Rahatekar SS (2012) Shear and extensional rheology of cellulose/ionic liquid solutions. Biomacromolecules 13 (5):1688–1699
38. Kheirandish S, Gubaydullin I, Willenbacher N (2008) Shear and elongational flow behaviour of acrylic thickener solutions. Part I: effect of intermolecular aggregation. Rheol Acta 49:397–407
39. Kheirandish S, Guybaidullin I et al (2009) Shear and elongational flow behavior of acrylic thickener solutions, Part II: effect of gel content. Rheol Acta 48:397–407
40. Kim NJ, Pipe CJ, Ahn KH, Lee SJ, McKinley GH (2010) Capillary breakup extensional rheometry of a wormlike micellar solution. Korea-Aust Rheol J 22:31–41
41. Klein CO, Naue IF et al (2009) Addition of the force measurement capability to a commercially available extensional rheometer (CaBER). Soft Mater 7:242–257
42. Kolte MI, Rasmussen HK, Hassager O (1997) Transient filament stretching rheometer II: numerical simulation. Rheol Acta 36:285–302
43. Kolte MI, Szabo P (1999) Capillary thinning of polymeric filaments. J Rheol 43:609–626
44. Liang RF, Mackley MR (1994) Rheological characterization of the time and strain dependence for polyisobutylene solutions. J Non-Newton Fluid Mech 52:387–405
45. Ma W K A, Chinesta F, Tuladhar T, Mackley MR (2008) Filament stretching of carbon nano tube suspension. Rheol Acta 47:447–457
46. Martinie L, Buggisch H, Willenbacher N (2013) Apparent elongational yield stress of soft matter. J Rheol 57:627–646
47. McKinley GH (2005) Visco-elasto-capillary thinning and breakup of complex fluid. Rheology Reviews 2005. The British Soc Rheol:1–49
48. McKinley GH, Brauner O, Yao M (2001) Kinematics of filament stretching in dilute and concentrated polymer solutions. Korea-Australia Rheol J 13 (1):29–35
49. McKinley GH, Sridhar T (2002) Filament stretching rheometry. Annu Rev Fluid Mech 34:375–415
50. McKinley GH, Tripathi A (2000) How to extract the Newtonian viscosity from capillary breakup measurements in a filament rheometer. J Rheol 44 (3):653–670
51. Miller E, Cooper-White J (2009) The effects of chain conformation in the microfluidic entry flow of polymer-surfactant systems. Non-Newtonian Fluid Mech 160:22–30
52. Münstedt H (1975) Viscoelasticity of polystyrene melts in tensile creep experiments. Rheol Acta 14:1077–1088
53. Münstedt H (1979) New universal extensional rheometer for polymer melts. J Rheol 23:421–436
54. Münstedt H, Kurzbeck S, Egersdörfer L (1998) Influence of molecular structure on rheological properties of polyethylenes Part II. Elongational behavior. Rheol Acta 37:21–29
55. Nelson WC, Kavehpour HP, Kim CJ (2011) A miniature capillary breakup extensional rheometer by electrostatically assisted generation of liquid filaments. Lab Chip 11:2424–2431
56. Niedzwiedz K, Arnolds O, Willenbacher N, Brummer R (2009) How to characterize yield stress fluids with capillary breakup extensional rheometry (CaBER). Appl Rheol 19:41969–1–41969–10
57. Niedzwiedz K, Buggisch H, Willenbacher N (2010) Extensional rheology of concentrated emulsions as probed by capillary breakup elongational rheometry (CaBER). Rheol Acta 49:1103– 1116
58. Oliveira M S N, Yeh R, McKinley GH (2006) Iterated stretching, extensional rheology and formation of beads-on-string structures in polymer solutions. J Non-Newton Fluid Mech 137:137–148
59. Orr NV, Sridhar T (1999) Probing the dynamics of polymer solutions in extensional flow using step strain rate experiments. J Non-Newton Fluid Mech 82:203–232
60. Papageorgiou DT (1995) On the breakup of viscous liquids threads. Phys Fluids 7:1529–1544
61. Rathfon JM, Cohn RW, Crosby AJ, Rothstein JP, Tew GN (2011) Confinement effects on chain entanglement in free-standing polystyrene ultrathin films. Macromolecules 44 (13):5436–5442
62. Regeva O, Vandebrilb S, Zussmana E, Clasen C (2010) The role of interfacial viscoelasticity in the stabilization of an electrospun jet. Polymer 50 (12):2611–2620
63. Rehage H, Hoffmann H (1988) Rheological Properties of Viscoelastic Surfactant Systems. J Physl Chem 92 (16):4712–4719
64. Renardy M (1994) Some comments on the surface tension driven breakup (or the lack of it) of the viscoelastic jets. J Non-Newton Fluid Mech 51:97–107
65. Renardy M (1995) A numerical study of the asymptotic evolution and breakup of Newtonian and viscoelastic jets. J Non-Newton Fluid Mech 59:267–282
66. Rodd LE, Scott TP, Cooper-White JJ, McKinley GH (2005) Capillary breakup rheometry of low-viscosity elastic fluids. Appl Rheol 15 (1):12–27
67. Rothstein JP (2003) Transient extensional rheology of wormlike micelle solutions. J Rheol 47:1227–1247
68. Rothstein JP, McKinley GH (2002a) A comparison of the stress and birefringence growth of dilute, semi-dilute and concentrated polymer solutions in uniaxial extensional flows. J Non-Newton Fluid Mech 108:275–290
69. Rothstein JP, McKinley GH (2002b) Inhomogeneous transient uniaxial extensional rheometry. J Rheol 46:1419–1443
70. Rubinstein M, Colby RH (2003) Polymer physics. Oxford University Press, Oxford
71. Sachsenheimer D, Hochstein B, Buggisch H, Willenbacher N (2012) Determination of axial forces during the capillary breakup of liquid filaments - the tilted CaBER method. Rheol Acta 51:909–923
72. Sankaran AK, Rothstein JP (2012) Effect of viscoelasticity on liquid transfer during gravure printing. J Non-Newtonian Fluid Mech 175–176:64–75
73. Sattler R, Gier S, Eggers J, Wagner C (2012) The final stages of capillary break-up of polymer solutions. Phys Fluids 24:023– 101
74. Sattler R, Kityk A, Wagner C (2007) Molecular configurations in the droplet detachment process of a complex liquid. Phys Rev E 75:051805–1-051805-6
75. Schümmer P, Tebel K H (1983) A new elongational rheometer for polymer solutions. J Non-Newtonian Fluid Mech 12 (3):331– 347
76. Spiegelberg S, Ables D, McKinley GH (1996) Role of end-effects on measurements of extensional viscosity in viscoelastic polymer solutions with a filament stretching rheometer. J Non-Newt Fluid Mech 64 (2-3):229–267
77. Tan L, Pan J, Wan A (2012) Shear and extensional rheology of polyacrylonitrile solution: effect of ultrahigh molecular weight polyacrylonitrile. Colloid Polym Sci 290:289–295
78. Tembelya M, Vadillo D, Mackley MR, Soucemarianadin A (2012) The matching of a one-dimensional numerical simulation and experiment results for low viscosity Newtonian and non-Newtonian fluids during fast filament stretching and subsequent break-up. J Rheol 56:159–183
79. Tirtaatmadja V, McKinley GH, Cooper-White JJ (2006) Drop formation and breakup of low viscosity elastic fluids: effects of molecular weight and concentration. Phys Fluids 18:043– 101
80. Tirtaatmadja V, Sridhar T (1993) Filament stretching device for measurement of extensional viscosity. J Rheol 36 (3):277–284
81. Tropea C, Yarin AL, Foss JF (2007) Springer handbook of experimental fluid mechanics. Springer, Heidelberg
82. Tuladhar TR, Mackley MR (2008) Filament stretching rheometry and break-up behaviour of low viscosity polymer solutions and ink jets fluids. J Non-Newton Fluid Mech 148:97–108
83. Vadillo D, Mathues W, Clasen C (2012) Microsecond relaxation processes in shear and extensional flows of weakly elastic polymer solutions. Rheol Acta 51:755–769
84. Vadillo DC, Tuladhar TR, Mulji AC et al (2010) Evaluation of ink jet fluid’s performance using the Cambridge Trimaster filament stretch and breakup-device. J Rheol 54 (2):261–282
85. Vasquez PA, McKinley GH, Cooka LP (2007) A network scission model for wormlike micellar solutions I. Model formulation and viscometric flow predictions. J Non-Newtonian Fluid Mech 144:122–139
86. Yang J, Xu Y (2008) Coalescence of two viscoelastic droplets connected by a string. Phys Fluids 20:043101–1-043101-9
87. Yesilata B, Clasen C, McKinley GH (2006) Nonlinear shear and extensional flow dynamics of wormlike surfactant solutions. J Non-Newton Fluid Mech 133:73–90