Top

Rheologica Acta

Published in:

01-03-2008 | Original Contribution

On the burst of branched polymer melts during inflation

Authors: Henrik Koblitz Rasmussen, Kaijia Yu

Published in: Rheologica Acta | Issue 2/2008

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

Abstract

Two molten low-density polyethylene melts, shaped as plates, have been inflated into a circular cylinder during isothermal conditions. Lowering the inflation rates allow the plates to be inflated into a larger volume of the cylinder before bursting. Numerical simulations of the inflations have been performed, using a time-strain separable constitutive K-BKZ equation based on the potential function from the Doi–Edwards theory. The material parameters in the constitutive model are based on liner viscoelastic and time dependent uniaxial elongational viscosities. The numerical calculations show quantitative agreement with the experiments, including the appearance of the burst, for a wide range of experimental conditions. This strongly suggests that the initiation of the burst in the polymer melts is a hydrodynamic phenomenon.

previous article Transient elongational viscosities of aqueous polyacrylamide solutions measured with an optical rheometer

next article On the sensitivity of interconversion between relaxation and creep

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Bach A, Almdal K, Rasmussen HK, Hassager O (2003a) Elongational viscosity of narrow molar mass distribution polystyrene. Macromolecules 36:5174–5179CrossRef

Bach A, Rasmussen HK, Hassager O (2003b) Extensional viscosity for polymer melts measured in the filament stretching rheometer. J Rheol 47:429–441CrossRef

Bach A, Rasmussen HK, Longin P-Y, Hassager O (2002) Growth of non axisymmetric disturbances of the free surface in the filament stretching rheometer: experiments and simulation. J Non-Newton Fluid Mech 108:163–186CrossRef

Bastian H (2001) Non-linear viscoelasticity of linear and long-chain-branched polymer melts in shear and extensional flows. PhD Thesis, Institut fuĺr Kunststofftechnologie der Universität Stuttgart.

Cox WP, Merz EH (1958) Correlation of dynamic and steady flow viscosities. J Polym Sci 28:619–622CrossRef

Currie PK (1982) Constitutive equations for polymer melts predicted by the Doi–Edwards and Curtiss-Bird kinetic theory models. J Non-Newton Fluid Mech 11:53–68CrossRef

Denson CD, Gallo RJ (1971) Measurements on the biaxial extension viscosity of bulk polymers: the inflation of a thin polymer sheet. Polym Eng Sci 11:174–176CrossRef

Doi M, Edwards SF (1978) Dynamics of concentrated polymer systems, III, the constitutive equation. J Chem Soc Faraday Trans 74:1818–1832CrossRef

Doi M, Edwards SF (1979) Dynamics of concentrated polymer systems, IV, Rheological properties. J Chem Soc Faraday Trans 75:38–54CrossRef

Eriksson T, Rasmussen HK (2005) The effects of polymer melt rheology on the replication of surface microstructures in iso thermal moulding. J Non-Newton Fluid Mech 127:191–200

Flory PJ (1976) Statistical thermodynamics of random networks. Proc R Soc A 351:351–380CrossRef

Hassager O, Kristensen SB, Larsen JR, Neergaard J (1999) Inflation and Instability of a Polymeric Membrane. J Non-Newton Fluid Mech 88:185–204CrossRef

Kamei E, Onogi S (1975) Extensional and fractural properties of monodisperse polystyrene at elevated temperatures. Appl Polym Symp 27:19–46

Laun HM (1986) Prediction of elastic strains of polymer melts in shear and elongation. J Rheol 30:459–501CrossRef

Malkin AY, Petrie CJS (1997) Some conditions for rupture of polymer liquids in extension. J Rheol 41:1–25CrossRef

Marrucci G, Ianniruberto G (2004) Interchain pressure effect in extensional flows of entangled polymer melts. Macromolecules 37:3934–3942CrossRef

Meissner J, Hostettler J (1994) A new elongational rheometer for polymer melts and other highly viscoelastic liquids. Rheol Acta 33:1–21CrossRef

Nielsen JK, Rasmussen HK (2007) Reversed extension flow of monodisperse polystyrene. Phys Rev E (in press)

Nielsen JK, Rasmussen HK, Denberg M, Almdal K, Hassager O (2006) Nonlinear branch–point dynamics of multiarm polystyrene. Macromolecules 39:8844–8853 (2006)CrossRef

Nielsen JK, Rasmussen HK, Hassager O (2007) Stress relaxation of narrow molar mass distribution polystyrene following uni-axial extension. J Rheol (in press)

Nordmaier E, Lanver U, Lechner MD (1990) The molecular structure of low-density polyethylene 1. long-chain branching and solution properties. Macromolecules 23:1072–1076.CrossRef

Olley P, Wagner MH (2006) A modification of the convective constraint release mechanism in the molecular stress function model giving enhanced vortex growth. J Non-Newton Fluid Mech 135:68–81CrossRef

Raible T, Demarmels A, Meissner J (1979) Stress and recovery maxima in LDPE melt elongation. Polym Bull 1:397–402CrossRef

Rasmussen HK (1999) Time-dependent finite-element method for the simulation of three-dimensional viscoelastic flow with integral models. J Non-Newton Fluid Mech 84:217–232CrossRef

Rasmussen HK (2000) Lagrangian viscoelastic flow computations using Rivlin–Sawyers constitutive model. J Non-Newton Fluid Mech 92:227–243CrossRef

Rasmussen HK (2002) Lagrangian viscoelastic flow computations using a generalized molecular stress function model. J Non-Newton Fluid Mech 106:107–120CrossRef

Rasmussen HK, Bach A (2005) On the bursting of linear polymer melts in inflation processes. Rheol Acta 44:435–445CrossRef

Rasmussen HK, Christensen JH, Gøttsche S (2000) Inflation of polymer melts into elliptic and circular cylinders. J Non-Newton Fluid Mech 93:245–263CrossRef

Rasmussen HK, Eriksson T (2007) Gas displacement of polymer melts in a cylinder: experiments and viscoelastic simulations. J Non-Newton Fluid Mech 143:1–9CrossRef

Rasmussen HK, Laille P, Yu K (2007) Large amplitude oscillatory elongation flow. Rheol Acta (in press)

Rasmussen HK, Nielsen JK, Bach A, Hassager O (2005) Viscosity overshoot in the start-up of uniaxial elongation of low density polyethylene melts. J Rheol 49:369–381CrossRef

Rolon-Garrido VH, Wagner MH, Luap C, Schweizer T (2006) Modeling non-Gaussian extensibility effects in elongation of nearly monodisperse polystyrene melts. J Rheol 50:327–340CrossRef

Winter HH, Chambon F (1986) Analysis of linear viscoelasticity of a crosslinking polymer at the gel point. J Rheol 30:367–382CrossRef

Wagner MH (1978) A constitutive analysis of uniaxial elongational flow data of a low-density polyethylene melt. J Non-Newton Fluid Mech 4:39–55CrossRef

Wagner MH, Bastian H, Hachmann P, Meissner J, Münstedt H, Kurzbeck S, Langouche F (2000) The strain hardening behaviour of linear and long-chain-branched polyolefin melts in extensional flows. Rheol Acta 39:97–109CrossRef

Wagner MH, Ehrecke P, Hachmann P, Meissner J (1998) A constitutive analysis of uniaxial, equibiaxial and planar extension of a commercial linear high-density polyethylene melt. J Rheol 42:621–638CrossRef

Wagner MH, Rubio P, Bastian H (2001) The molecular stress function model for polydisperse polymer melts with dissipative convective constraint release. J Rheol 45:1387–1412CrossRef

Wagner MH, Schaeffer J (1994) Assessment of nonlinear strain measures for extensional and shearing flows of polymer melts. Rheol Acta 33:506–516CrossRef

Title: On the burst of branched polymer melts during inflation
Authors: Henrik Koblitz Rasmussen
Kaijia Yu
Publication date: 01-03-2008
Publisher: Springer-Verlag
Published in: Rheologica Acta / Issue 2/2008
Print ISSN: 0035-4511
Electronic ISSN: 1435-1528
DOI: https://doi.org/10.1007/s00397-007-0222-7

Springer Professional

Abstract

Please log in to get access to your license.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Technik"

Springer Professional "Wirtschaft+Technik"

Other articles of this Issue 2/2008

Evidence for re-entrant behavior in laponite–PEO systems

Discrepancies between linear viscoelastic measurements and double-reptation predictions for commercial polystyrene samples

Viscosity enhancement in the flow of hydrolysed poly(acrylamide) saline solutions around spheres: implications for enhanced oil recovery

Shear and squeeze rheometry of suspensions of magnetic polymerized chains

Influence of mixing conditions on rheological behavior and electrical conductivity of polyamides filled with carbon black

Estimation of the relaxation spectrum from dynamic experiments using Bayesian analysis and a new regularization constraint

Premium Partners