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Published in: Rheologica Acta 9/2014

01-09-2014 | Original Contribution

Experimental study on the capillary thinning of entangled polymer solutions

Authors: Dirk Sachsenheimer, Bernhard Hochstein, Norbert Willenbacher

Published in: Rheologica Acta | Issue 9/2014

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Abstract

The transient elongation behavior of entangled polymer and wormlike micelles (WLM) solutions has been investigated using capillary breakup extensional rheometry (CaBER). The transient force ratio X = 0.713 reveals the existence of an intermediate Newtonian thinning region for polystyrene and WLM solutions prior to the viscoelastic thinning. The exponential decay of X(t) in the first period of thinning defines an elongational relaxation time λ x which is equal to elongational relaxation time λ e obtained from exponential diameter decay D(t) indicating that the initial stress decay is controlled by the same molecular relaxation process as the strain hardening observed in the terminal regime of filament thinning. Deviations in true and apparent elongational viscosity are discussed in terms of X(t). A minimum Trouton ratio is observed which decreases exponentially with increasing polymer concentration leveling off at Trmin = 3 for the solutions exhibiting intermediate Newtonian thinning and Trmin ≈ 10 otherwise. The relaxation time ratio λ e/ λ s, where λ s is the terminal shear relaxation time, decreases exponentially with increasing polymer concentration and the data for all investigated solutions collapse onto a master curve irrespective of polymer molecular weight or solvent viscosity when plotted versus the reduced concentration c[ η], with [ η] being the intrinsic viscosity. This confirms the strong effect of the nonlinear deformation in CaBER experiments on entangled polymer solutions as suggested earlier. On the other hand, λ eλ s is found for all WLM solutions clearly indicating that these nonlinear deformations do not affect the capillary thinning process of these living polymer systems.

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Literature
go back to reference 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):6323–6330CrossRef 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):6323–6330CrossRef
go back to reference Anna SL, McKinley GH (2001a) Elasto-capillary thinning and breakup of model elastic liquids. J Rheol 45:115–138CrossRef Anna SL, McKinley GH (2001a) Elasto-capillary thinning and breakup of model elastic liquids. J Rheol 45:115–138CrossRef
go back to reference 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 45:83–114CrossRef 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 45:83–114CrossRef
go back to reference 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 87:307–335CrossRef 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 87:307–335CrossRef
go back to reference 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 49:1207–1217CrossRef 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 49:1207–1217CrossRef
go back to reference 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 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
go back to reference Bach A, Rasmussen HK, Hassager O (2003) Extensional viscosity for polymer melts measured in the filament stretching rheometer. J Rheol 47 (2):429–441CrossRef Bach A, Rasmussen HK, Hassager O (2003) Extensional viscosity for polymer melts measured in the filament stretching rheometer. J Rheol 47 (2):429–441CrossRef
go back to reference Bazilevskii AV, Entov VM et al (1997) Failure of polymer solution filaments. Polym Sci A 39:316–324 Bazilevskii AV, Entov VM et al (1997) Failure of polymer solution filaments. Polym Sci A 39:316–324
go back to reference 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 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
go back to reference 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 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
go back to reference Becerra M, Carvalho MS (2011) Stability of viscoelastic liquid curtain. Eng and Proc 50:445–449CrossRef Becerra M, Carvalho MS (2011) Stability of viscoelastic liquid curtain. Eng and Proc 50:445–449CrossRef
go back to reference Berret JF, Appell J, Porte G (1993) Linear rheology of entangled wormlike micelles. Langmuir 9:2851–2854CrossRef Berret JF, Appell J, Porte G (1993) Linear rheology of entangled wormlike micelles. Langmuir 9:2851–2854CrossRef
go back to reference Bhardwaj A, Miller E, Rothstein JP (2007a) Filament stretching and capillary breakup extensional rheometry measurements of viscoelastic wormlike micelle solutions. J Rheol 51:693–719CrossRef Bhardwaj A, Miller E, Rothstein JP (2007a) Filament stretching and capillary breakup extensional rheometry measurements of viscoelastic wormlike micelle solutions. J Rheol 51:693–719CrossRef
go back to reference Bhardwaj A, Richter D, Chellamuthu M, Rothstein JP (2007b) The effect of preshear on the extensional rheology of wormlike micelle solutions. Rheol Acta 46:861–875CrossRef Bhardwaj A, Richter D, Chellamuthu M, Rothstein JP (2007b) The effect of preshear on the extensional rheology of wormlike micelle solutions. Rheol Acta 46:861–875CrossRef
go back to reference Bischoff White EE, Chellamuthu M, Rothstein JP (2010) Extensional rheology of a shear-thickening cornstarch and water suspension. Rheol Acta 49:119–129CrossRef Bischoff White EE, Chellamuthu M, Rothstein JP (2010) Extensional rheology of a shear-thickening cornstarch and water suspension. Rheol Acta 49:119–129CrossRef
go back to reference Böhme G (2000) Strömungsmechanik nichtnewtonischer Fluide. Teuber, StuttgartCrossRef Böhme G (2000) Strömungsmechanik nichtnewtonischer Fluide. Teuber, StuttgartCrossRef
go back to reference Brenner M, Lister J, Stone H (1996) Pinching threads, singularities and the number 0.0304. Phys Fluids 8:2827–2836CrossRef Brenner M, Lister J, Stone H (1996) Pinching threads, singularities and the number 0.0304. Phys Fluids 8:2827–2836CrossRef
go back to reference 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 165:1688–1699CrossRef 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 165:1688–1699CrossRef
go back to reference Cates ME (1987) Reptation of living polymers: dynamics of entangled polymers in the presence of reversible chain-scission reactions. Macromolecules 20:2289–2296CrossRef Cates ME (1987) Reptation of living polymers: dynamics of entangled polymers in the presence of reversible chain-scission reactions. Macromolecules 20:2289–2296CrossRef
go back to reference Cates ME (1988) Dynamics of living polymers and flexible surfactant micelles: scaling laws for dilution. J Phys France 49 (9):1593–1600CrossRef Cates ME (1988) Dynamics of living polymers and flexible surfactant micelles: scaling laws for dilution. J Phys France 49 (9):1593–1600CrossRef
go back to reference Cates ME (1996) Dynamics of living polymers and flexible surfactant micelles: scaling laws for dilution. J Phys France 49 (9):1593–1600 Cates ME (1996) Dynamics of living polymers and flexible surfactant micelles: scaling laws for dilution. J Phys France 49 (9):1593–1600
go back to reference Chellamuthu M, Rothstein JP (2008) Distinguishing between linear and branched wormlike micelle solutions using extensional rheology measurements. J Rheol 52:865–884CrossRef Chellamuthu M, Rothstein JP (2008) Distinguishing between linear and branched wormlike micelle solutions using extensional rheology measurements. J Rheol 52:865–884CrossRef
go back to reference Chen L, Bromberg L, Hatton TA, Rutledge GC (2008). Electrospun cellulose acetate fibers containing chlorhexidine as a bactericide 49 (5):1266–1275 Chen L, Bromberg L, Hatton TA, Rutledge GC (2008). Electrospun cellulose acetate fibers containing chlorhexidine as a bactericide 49 (5):1266–1275
go back to reference Christanti Y, Walker LM (2001) Surface tension driven jet break up of strain-hardening polymer solutions. J Non-Newtonian Fluid Mech 100:9–26CrossRef Christanti Y, Walker LM (2001) Surface tension driven jet break up of strain-hardening polymer solutions. J Non-Newtonian Fluid Mech 100:9–26CrossRef
go back to reference Christanti Y, Walker LM (2002) Effect of fluid relaxation time of dilute polymer solutions on jet breakup due to a forced disturbance. J Rheol 46:733–748CrossRef Christanti Y, Walker LM (2002) Effect of fluid relaxation time of dilute polymer solutions on jet breakup due to a forced disturbance. J Rheol 46:733–748CrossRef
go back to reference Clasen C, Eggers J, Fontelos MA, Li J, McKinley GH (2006a) The beads on-string structure of viscoelastic threads. J Fluid Mech 556:283–308CrossRef Clasen C, Eggers J, Fontelos MA, Li J, McKinley GH (2006a) The beads on-string structure of viscoelastic threads. J Fluid Mech 556:283–308CrossRef
go back to reference Clasen C, Plog JP, et al. (2006b) How dilute are dilute solutions in extensional flows J Rheol 50:849–881CrossRef Clasen C, Plog JP, et al. (2006b) How dilute are dilute solutions in extensional flows J Rheol 50:849–881CrossRef
go back to reference Clasen C (2010) Capillary breakup extensional rheometry of semi-dilute polymer solutions. K-A Rheol J 22:331–338 Clasen C (2010) Capillary breakup extensional rheometry of semi-dilute polymer solutions. K-A Rheol J 22:331–338
go back to reference Cromer M, Cook PL, McKinley GH (2009) Extensional flow of wormlike micellar solutions. Chem Eng Science 64:4588–4596CrossRef Cromer M, Cook PL, McKinley GH (2009) Extensional flow of wormlike micellar solutions. Chem Eng Science 64:4588–4596CrossRef
go back to reference Eggers J (1993) Universal pinching of 3D axisymmetric free-surface flows. Phys Rev Lett 71:3458–3490CrossRef Eggers J (1993) Universal pinching of 3D axisymmetric free-surface flows. Phys Rev Lett 71:3458–3490CrossRef
go back to reference Eggers J (1997) Nonlinear dynamics and breakup of free-surface fows. Rev Mod Phys 69:865–930 Eggers J (1997) Nonlinear dynamics and breakup of free-surface fows. Rev Mod Phys 69:865–930
go back to reference 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 72:31–53CrossRef 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 72:31–53CrossRef
go back to reference 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 7:10889–10898CrossRef 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 7:10889–10898CrossRef
go back to reference 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 196:51–57CrossRef 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 196:51–57CrossRef
go back to reference 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 24:053–102CrossRef 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 24:053–102CrossRef
go back to reference 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 85:031–502CrossRef 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 85:031–502CrossRef
go back to reference Haward SJ, Sharma V, Butts CP, McKinley GH, Rahatekar SS (2012) Shear and extensional rheology of cellulose/ionic liquid solutions. Biomacromolecules 13 (5):1688–1699CrossRef Haward SJ, Sharma V, Butts CP, McKinley GH, Rahatekar SS (2012) Shear and extensional rheology of cellulose/ionic liquid solutions. Biomacromolecules 13 (5):1688–1699CrossRef
go back to reference 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 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
go back to reference Kheirandish S, Guybaidullin I et al (2009) Shear and elongational flow behavior of acrylic thickener solutions, Part II: effect of gel content. Rheol Acta 48:397–407CrossRef Kheirandish S, Guybaidullin I et al (2009) Shear and elongational flow behavior of acrylic thickener solutions, Part II: effect of gel content. Rheol Acta 48:397–407CrossRef
go back to reference 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 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
go back to reference Klein CO, Naue IF et al (2009) Addition of the force measurement capability to a commercially available extensional rheometer (CaBER). Soft Mater 7:242–257CrossRef Klein CO, Naue IF et al (2009) Addition of the force measurement capability to a commercially available extensional rheometer (CaBER). Soft Mater 7:242–257CrossRef
go back to reference Kolte MI, Rasmussen HK, Hassager O (1997) Transient filament stretching rheometer II: numerical simulation. Rheol Acta 36:285–302 Kolte MI, Rasmussen HK, Hassager O (1997) Transient filament stretching rheometer II: numerical simulation. Rheol Acta 36:285–302
go back to reference Kolte MI, Szabo P (1999) Capillary thinning of polymeric filaments. J Rheol 43:609–626CrossRef Kolte MI, Szabo P (1999) Capillary thinning of polymeric filaments. J Rheol 43:609–626CrossRef
go back to reference Liang RF, Mackley MR (1994) Rheological characterization of the time and strain dependence for polyisobutylene solutions. J Non-Newton Fluid Mech 52:387–405CrossRef Liang RF, Mackley MR (1994) Rheological characterization of the time and strain dependence for polyisobutylene solutions. J Non-Newton Fluid Mech 52:387–405CrossRef
go back to reference Ma W K A, Chinesta F, Tuladhar T, Mackley MR (2008) Filament stretching of carbon nano tube suspension. Rheol Acta 47:447–457CrossRef Ma W K A, Chinesta F, Tuladhar T, Mackley MR (2008) Filament stretching of carbon nano tube suspension. Rheol Acta 47:447–457CrossRef
go back to reference Martinie L, Buggisch H, Willenbacher N (2013) Apparent elongational yield stress of soft matter. J Rheol 57:627–646CrossRef Martinie L, Buggisch H, Willenbacher N (2013) Apparent elongational yield stress of soft matter. J Rheol 57:627–646CrossRef
go back to reference McKinley GH (2005) Visco-elasto-capillary thinning and breakup of complex fluid. Rheology Reviews 2005. The British Soc Rheol:1–49 McKinley GH (2005) Visco-elasto-capillary thinning and breakup of complex fluid. Rheology Reviews 2005. The British Soc Rheol:1–49
go back to reference 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 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
go back to reference McKinley GH, Sridhar T (2002) Filament stretching rheometry. Annu Rev Fluid Mech 34:375–415CrossRef McKinley GH, Sridhar T (2002) Filament stretching rheometry. Annu Rev Fluid Mech 34:375–415CrossRef
go back to reference McKinley GH, Tripathi A (2000) How to extract the Newtonian viscosity from capillary breakup measurements in a filament rheometer. J Rheol 44 (3):653–670CrossRef McKinley GH, Tripathi A (2000) How to extract the Newtonian viscosity from capillary breakup measurements in a filament rheometer. J Rheol 44 (3):653–670CrossRef
go back to reference Miller E, Cooper-White J (2009) The effects of chain conformation in the microfluidic entry flow of polymer-surfactant systems. Non-Newtonian Fluid Mech 160:22–30CrossRef Miller E, Cooper-White J (2009) The effects of chain conformation in the microfluidic entry flow of polymer-surfactant systems. Non-Newtonian Fluid Mech 160:22–30CrossRef
go back to reference Münstedt H (1975) Viscoelasticity of polystyrene melts in tensile creep experiments. Rheol Acta 14:1077–1088CrossRef Münstedt H (1975) Viscoelasticity of polystyrene melts in tensile creep experiments. Rheol Acta 14:1077–1088CrossRef
go back to reference Münstedt H (1979) New universal extensional rheometer for polymer melts. J Rheol 23:421–436CrossRef Münstedt H (1979) New universal extensional rheometer for polymer melts. J Rheol 23:421–436CrossRef
go back to reference Münstedt H, Kurzbeck S, Egersdörfer L (1998) Influence of molecular structure on rheological properties of polyethylenes Part II. Elongational behavior. Rheol Acta 37:21–29CrossRef Münstedt H, Kurzbeck S, Egersdörfer L (1998) Influence of molecular structure on rheological properties of polyethylenes Part II. Elongational behavior. Rheol Acta 37:21–29CrossRef
go back to reference Nelson WC, Kavehpour HP, Kim CJ (2011) A miniature capillary breakup extensional rheometer by electrostatically assisted generation of liquid filaments. Lab Chip 11:2424–2431CrossRef Nelson WC, Kavehpour HP, Kim CJ (2011) A miniature capillary breakup extensional rheometer by electrostatically assisted generation of liquid filaments. Lab Chip 11:2424–2431CrossRef
go back to reference 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 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
go back to reference Niedzwiedz K, Buggisch H, Willenbacher N (2010) Extensional rheology of concentrated emulsions as probed by capillary breakup elongational rheometry (CaBER). Rheol Acta 49:1103– 1116CrossRef Niedzwiedz K, Buggisch H, Willenbacher N (2010) Extensional rheology of concentrated emulsions as probed by capillary breakup elongational rheometry (CaBER). Rheol Acta 49:1103– 1116CrossRef
go back to reference 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 137:137–148CrossRef 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 137:137–148CrossRef
go back to reference Orr NV, Sridhar T (1999) Probing the dynamics of polymer solutions in extensional flow using step strain rate experiments. J Non-Newton Fluid Mech 82:203–232CrossRef Orr NV, Sridhar T (1999) Probing the dynamics of polymer solutions in extensional flow using step strain rate experiments. J Non-Newton Fluid Mech 82:203–232CrossRef
go back to reference Papageorgiou DT (1995) On the breakup of viscous liquids threads. Phys Fluids 7:1529–1544CrossRef Papageorgiou DT (1995) On the breakup of viscous liquids threads. Phys Fluids 7:1529–1544CrossRef
go back to reference 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):5436–5442CrossRef 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):5436–5442CrossRef
go back to reference Regeva O, Vandebrilb S, Zussmana E, Clasen C (2010) The role of interfacial viscoelasticity in the stabilization of an electrospun jet. Polymer 50 (12):2611–2620CrossRef Regeva O, Vandebrilb S, Zussmana E, Clasen C (2010) The role of interfacial viscoelasticity in the stabilization of an electrospun jet. Polymer 50 (12):2611–2620CrossRef
go back to reference Rehage H, Hoffmann H (1988) Rheological Properties of Viscoelastic Surfactant Systems. J Physl Chem 92 (16):4712–4719CrossRef Rehage H, Hoffmann H (1988) Rheological Properties of Viscoelastic Surfactant Systems. J Physl Chem 92 (16):4712–4719CrossRef
go back to reference 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 51:97–107CrossRef 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 51:97–107CrossRef
go back to reference Renardy M (1995) A numerical study of the asymptotic evolution and breakup of Newtonian and viscoelastic jets. J Non-Newton Fluid Mech 59:267–282CrossRef Renardy M (1995) A numerical study of the asymptotic evolution and breakup of Newtonian and viscoelastic jets. J Non-Newton Fluid Mech 59:267–282CrossRef
go back to reference Rodd LE, Scott TP, Cooper-White JJ, McKinley GH (2005) Capillary breakup rheometry of low-viscosity elastic fluids. Appl Rheol 15 (1):12–27 Rodd LE, Scott TP, Cooper-White JJ, McKinley GH (2005) Capillary breakup rheometry of low-viscosity elastic fluids. Appl Rheol 15 (1):12–27
go back to reference Rothstein JP (2003) Transient extensional rheology of wormlike micelle solutions. J Rheol 47:1227–1247CrossRef Rothstein JP (2003) Transient extensional rheology of wormlike micelle solutions. J Rheol 47:1227–1247CrossRef
go back to reference 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 108:275–290CrossRef 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 108:275–290CrossRef
go back to reference Rothstein JP, McKinley GH (2002b) Inhomogeneous transient uniaxial extensional rheometry. J Rheol 46:1419–1443CrossRef Rothstein JP, McKinley GH (2002b) Inhomogeneous transient uniaxial extensional rheometry. J Rheol 46:1419–1443CrossRef
go back to reference Rubinstein M, Colby RH (2003) Polymer physics. Oxford University Press, Oxford Rubinstein M, Colby RH (2003) Polymer physics. Oxford University Press, Oxford
go back to reference 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 51:909–923CrossRef 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 51:909–923CrossRef
go back to reference Sankaran AK, Rothstein JP (2012) Effect of viscoelasticity on liquid transfer during gravure printing. J Non-Newtonian Fluid Mech 175–176:64–75CrossRef Sankaran AK, Rothstein JP (2012) Effect of viscoelasticity on liquid transfer during gravure printing. J Non-Newtonian Fluid Mech 175–176:64–75CrossRef
go back to reference Sattler R, Gier S, Eggers J, Wagner C (2012) The final stages of capillary break-up of polymer solutions. Phys Fluids 24:023– 101CrossRef Sattler R, Gier S, Eggers J, Wagner C (2012) The final stages of capillary break-up of polymer solutions. Phys Fluids 24:023– 101CrossRef
go back to reference Sattler R, Kityk A, Wagner C (2007) Molecular configurations in the droplet detachment process of a complex liquid. Phys Rev E 75:051805–1-051805-6CrossRef Sattler R, Kityk A, Wagner C (2007) Molecular configurations in the droplet detachment process of a complex liquid. Phys Rev E 75:051805–1-051805-6CrossRef
go back to reference Schümmer P, Tebel K H (1983) A new elongational rheometer for polymer solutions. J Non-Newtonian Fluid Mech 12 (3):331– 347CrossRef Schümmer P, Tebel K H (1983) A new elongational rheometer for polymer solutions. J Non-Newtonian Fluid Mech 12 (3):331– 347CrossRef
go back to reference 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):229–267CrossRef 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):229–267CrossRef
go back to reference Tan L, Pan J, Wan A (2012) Shear and extensional rheology of polyacrylonitrile solution: effect of ultrahigh molecular weight polyacrylonitrile. Colloid Polym Sci 290:289–295CrossRef Tan L, Pan J, Wan A (2012) Shear and extensional rheology of polyacrylonitrile solution: effect of ultrahigh molecular weight polyacrylonitrile. Colloid Polym Sci 290:289–295CrossRef
go back to reference 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 56:159–183CrossRef 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 56:159–183CrossRef
go back to reference 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– 101CrossRef 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– 101CrossRef
go back to reference Tirtaatmadja V, Sridhar T (1993) Filament stretching device for measurement of extensional viscosity. J Rheol 36 (3):277–284 Tirtaatmadja V, Sridhar T (1993) Filament stretching device for measurement of extensional viscosity. J Rheol 36 (3):277–284
go back to reference Tropea C, Yarin AL, Foss JF (2007) Springer handbook of experimental fluid mechanics. Springer, HeidelbergCrossRef Tropea C, Yarin AL, Foss JF (2007) Springer handbook of experimental fluid mechanics. Springer, HeidelbergCrossRef
go back to reference 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 148:97–108CrossRef 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 148:97–108CrossRef
go back to reference Vadillo D, Mathues W, Clasen C (2012) Microsecond relaxation processes in shear and extensional flows of weakly elastic polymer solutions. Rheol Acta 51:755–769CrossRef Vadillo D, Mathues W, Clasen C (2012) Microsecond relaxation processes in shear and extensional flows of weakly elastic polymer solutions. Rheol Acta 51:755–769CrossRef
go back to reference 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):261–282CrossRef 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):261–282CrossRef
go back to reference 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 144:122–139CrossRef 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 144:122–139CrossRef
go back to reference Yang J, Xu Y (2008) Coalescence of two viscoelastic droplets connected by a string. Phys Fluids 20:043101–1-043101-9 Yang J, Xu Y (2008) Coalescence of two viscoelastic droplets connected by a string. Phys Fluids 20:043101–1-043101-9
go back to reference Yesilata B, Clasen C, McKinley GH (2006) Nonlinear shear and extensional flow dynamics of wormlike surfactant solutions. J Non-Newton Fluid Mech 133:73–90CrossRef Yesilata B, Clasen C, McKinley GH (2006) Nonlinear shear and extensional flow dynamics of wormlike surfactant solutions. J Non-Newton Fluid Mech 133:73–90CrossRef
Metadata
Title
Experimental study on the capillary thinning of entangled polymer solutions
Authors
Dirk Sachsenheimer
Bernhard Hochstein
Norbert Willenbacher
Publication date
01-09-2014
Publisher
Springer Berlin Heidelberg
Published in
Rheologica Acta / Issue 9/2014
Print ISSN: 0035-4511
Electronic ISSN: 1435-1528
DOI
https://doi.org/10.1007/s00397-014-0789-8

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