Top

Rheologica Acta

Published in:

01-01-2009 | Original Contribution

Flow of branched polymer melts in a lubricated cross-slot channel: a combined computational and experimental study

Authors: A. Abedijaberi, J. Soulages, M. Kröger, B. Khomami

Published in: Rheologica Acta | Issue 1/2009

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

search-config

AI-assisted search

Off

Abstract

Numerical simulations have been performed to evaluate the accuracy of the multimode Giesekus model in predicting the flow behavior of a rheologically well characterized low-density polyethylene melt in a lubricated cross-slot channel. Specifically, the fidelity of the numerical results is established by detailed comparison with flow-induced birefringence measurements in a new optical rheometer with lubricated side walls that allows the creation of ideal two-dimensional flow kinematics that lead to the elimination of end effects commonly encountered in flow birefringence measurements. Based on these comparisons, the ability of the multimode Giesekus model to capture the flow characteristics with reasonable accuracy in the experimentally available Wi range of 21 to 29 has been established. However, it should be noted that the model predictions are, at best, qualitative in the vicinity of the stagnation point. The discrepancy between numerically predicted and experimentally observed stresses in this region is mainly attributed to the inaccuracy of the experimental data that stem from the occurrence of multiple orders of retardation within the measurement volume. Overall, these studies have paved the way for the development of a hi-fidelity lubricated cross-slot channel rheometer.

previous article A numerical method for determining the shear stress of magnetorheological fluids using the parallel-plate measuring system

next article Holographic microrheology of polysaccharides from Streptococcus mutans biofilms

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, Rasmussen HK, Longin PY, 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

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

Baumgärtel M, Winter HH (1989) Determination of discrete relaxation and retardation time spectra from dynamic mechanical data. Rheol Acta 28:511–519CrossRef

Bird RB, Curtiss CF, Armstrong RC, Hassager O (1987) Dynamics of polymeric liquids, vol 2, kinetic theory. Wiley, New York

Burghardt WR, Li JM, Khomami B, Yang B (1999) Uniaxial extensional characterization of a shear thinning fluid using axisymmetric flow birefringence. J Rheol 43:147–165CrossRef

Dealy JM, Wissbrun KF (1990) Melt rheology and its role in plastics processing. Theory and applications. Van Nostrand Reinhold, New York

Everaers R, Sukumaran SK, Grest GS, Svaneborg C, Sivasubramanian A, Kremer K (2004) Rheology and microscopic topology of entangled polymeric liquids. Science 303:823CrossRef

Feigl K, Öttinger HC (1996) A numerical study of the flow of a low-density-polyethylene melt in a planar contraction and comparison to experiments. J Rheol 40:21–35CrossRef

Foteinopoulou K, Karayiannis NC, Mavrantzas VG, Kröger M (2006) Primitive path identification and entanglement statistics in polymer melts: results from direct topological analysis on atomistic polyethylene models. Macromolecules 39:4207CrossRef

Fuller GG (1995) Optical rheometry of complex fluids. Oxford University Press, Oxford

Galante SR (1991) An investigation of planar entry flow using a high-resolution flow birefringence method. PhD thesis, Carnegie-Mellon University

Giesekus H (1982) A simple constitutive equation for polymer fluids based on the concept of deformation-dependent tensorial mobility. J Non-Newton Fluid Mech 11:69–109CrossRef

Grillet AM, Yang B, Khomami B, Shaqfeh ESG (1999) Modeling of viscoelastic lid driven cavity flow using finite element simulations. J Non-Newton Fluid Mech 88:99–131CrossRef

Guenette R (1995) A new mixed finite element method for computing viscoelastic flows. J Non-Newton Fluid Mech 60:27CrossRef

Harmandaris VA, Mavrantzas VG, Theodorou DN (1998) Atomistic molecular dynamics simulation of polydisperse linear polyethylene melts. Macromolecules 31:7934CrossRef

Hughes TJR, Franka LP, Hulbert GM (1989) A new finite element formulation for computational fluid dynamics: viii. the galerkin/least-squares method for advective-diffusive equations. Comput Methods Appl Mech Eng 73:173–189CrossRef

Janeschitz-Kriegl H (1983) Polymer melt rheology and flow birefringence, from the series polymers, properties and applications. Springer, Berlin

Keunings R (2001) Advances in the computer modeling of the flow of polymeric liquids. Comput Fluid Dyn J 9:449–458

Kim JM, Keffer DJ, Kröger M, Edwards BJ (2007) Rheological and entanglement characteristics of linear chain polyethylene liquids in planar Couette and planar elongational flows. J Non-Newton Fluid Mech 152:168–183CrossRef

Kindt P, Briels WJ (2007) A single particle model to simulate the dynamics of entangled polymer melts. J Chem Phys 127:134901CrossRef

Kröger M (2004) Simple models for complex nonequilibrium fluids. Phys Rep 390:453–551CrossRef

Kröger M, Hess S (2000) Rheological evidence for a dynamical crossover in polymer melts via nonequilibrium molecular dynamics. Phys Rev Lett 85:1128CrossRef

Kröger M, Luap C, Muller R (1997) Polymer melts under uniaxial elongational flow: stress-optical behavior from experiments and NEMD computer simulations. Macromolecules 30:526–539CrossRef

Kröger M, Ammar A, Chinesta F (2008) Consistent closure schemes for statistical models of anisotropic fluids. J Non-Newton Fluid Mech 149:40–55CrossRef

Li JM, Burghardt WR, Yang B, Khomami B (1998) Flow birefringence and computational studies of a shear thinning polymer solution in axisymmetric stagnation flow. J Non-Newton Fluid Mech 74:151–193CrossRef

Li JM, Burghardt WR, Yang B, Khomami B (2000) Birefringence and computational studies of a polystyrene Boger fluid in axisymmetric stagnation flow. J Non-Newton Fluid Mech 91:189–220CrossRef

Likhtman AE, McLeish TCB (2002) Quantitative theory for linear dynamics of linear entangled polymers. Macromolecules 35:6332–6343CrossRef

Luap C, Müller C, Schweizer T, Venerus DC (2005) Simultaneous stress and birefringence measurements during uniaxial elongation of polystyrene melts with narrow molecular weight distribution. Rheol Acta 45:83–91CrossRef

Luap C, Karlina M, Schweizer T, Venerus DC (2006) Limit of validity of the stress-optical rule for polystyrene melts: influence of polydispersity. J Non-Newton Fluid Mech 138:197–203CrossRef

McHugh AJ, Mackay ME, Khomami B (1987) Measurement of birefringence by the method of isoclinics. J Rheol 31:619–634CrossRef

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

Meissner J, Garbella RW, Hostettler J (1989) Measuring normal stress differences in polymer melt shear flow. J Rheol 33:843–864CrossRef

Öttinger HC (1999) Letter to the editor: end effects in flow-birefringence experiments for polymer melts. J Rheol 43:253–259CrossRef

Peters GWM, Schoonen JFM, Baaijens FPT, Meijer HEH (1999) On the performance of enhanced constitutive models for polymer melts in a cross-slot flow. J Non-Newton Fluid Mech 82:387–427CrossRef

Pollett WFO (1995) Rheological behaviour of continuously sheared polythene. Br J Appl Phys 6:199–206CrossRef

Rajagopalan D, Armstrong RA, Brown RA (1990) Calculation of steady viscoelastic flow using a multimode Maxwell model—application of the explicitly elliptic momentum equation [EEME] formulation. J Non-Newton Fluid Mech 36:135–157CrossRef

Rajagopalan D, Byars JA, Armstrong RC, Brown RA, Lee JS, Fuller GG (1992) Comparison of numerical simulations and birefringence measurements in viscoelastic flow between eccentric rotating cylinders. J Rheol 36:1349–1375CrossRef

Schoonen JFM, Swartjes FHM, Peters GWM, Baaijens FPT, Meijer HEH (1998) A 3D numerical/experimental study on a stagnation flow of a polyisobutylene solution. J Non-Newton Fluid Mech 79:529–561CrossRef

Schweizer T (2000) The uniaxial elongational rheometer RME—six years of experience. Rheol Acta 39:428–443CrossRef

Schweizer T (2002) Measurement of the first and second normal stress differences in a polystyrene melt with a cone and partitioned plate tool. Rheol Acta 41:337–344CrossRef

Schweizer T (2003) Comparing cone-partitioned plate and cone-standard plate shear rheometry of a polystyrene melt. J Rheol 47:1071–1085CrossRef

Soulages J (2007) Flow birefringence and velocity measurements for polymer melts in a cross-slot flow channel. PhD thesis, ETH Zurich

Soulages J, Schweizer T, Venerus DC, Hostettler J, Mettler F, Kröger M, Öttinger HC (2007) Lubricated optical rheometer for the study of two-dimensional complex flows of polymer melts. J Non-Newton Fluid Mech 150:43–55CrossRef

Talwar KK, Khomami B (1992) Applications of higher order finite element methods to viscoelastic flow in porous media. J Rheol 36:1377–1416CrossRef

Talwar KK, Khomami B (1995) Higher order finite element techniques for viscoelastic flow problems with change of type. J Non-Newton Fluid Mech 59:49–72CrossRef

Talwar KK, Ganpule HK, Khomami B (1994) A note on selection of spaces in computation of viscoelastic flows using the hp-finite element method. J Non-Newton Fluid Mech 52:293–307CrossRef

Tzoumanekas C, Theodorou DN (2006) From atomistic simulations to slip-link models of entangled polymer melts: hierarchical strategies for the prediction of rheological properties. Curr Opin Solid State Mater Sci 10:61–72CrossRef

Venerus DC, Zhu SH, Öttinger HC (1999) Stress and birefringence measurements during the uniaxial elongation of polystyrene melts. J Rheol 43:795–813CrossRef

Verbeeten WMH, Peters GWM, Baaijens FPT (2002) Viscoelastic analysis of complex polymer melt flows using the eXtended Pom-Pom model. J Non-Newton Fluid Mech 108:301–326CrossRef

Vladkov M, Barrat JL (2006) Linear and nonlinear viscoelasticity of a model unentangled polymer melt: molecular dynamics and Rouse modes analysis. Macromol Theory Simul 15:252–262CrossRef

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

Wales JLS (1976) The application of flow birefringence to rheological studies of polymer melts. PhD thesis, Delft University of Technology

Winter HH, Mours M (1990–2004) Innovative rheological interface software, version 8.0. IRIS Development, Amherst, MA

Title: Flow of branched polymer melts in a lubricated cross-slot channel: a combined computational and experimental study
Authors: A. Abedijaberi
J. Soulages
M. Kröger
B. Khomami
Publication date: 01-01-2009
Publisher: Springer-Verlag
Published in: Rheologica Acta / Issue 1/2009
Print ISSN: 0035-4511
Electronic ISSN: 1435-1528
DOI: https://doi.org/10.1007/s00397-008-0317-9

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 1/2009

Investigation of the rheological properties of short glass fiber-filled polypropylene in extensional flow

A numerical method for determining the shear stress of magnetorheological fluids using the parallel-plate measuring system

Couette–Poiseuille flow of the Giesekus model between parallel plates

Rheological behaviour of nano-composites based on polyamide 6 under shear and elongational flow at high strain rates

Microstructural investigations of the yielding behaviour of bidisperse magnetorheological fluids

A new interpretation for the dynamic behaviour of complex fluids at the sol–gel transition using the fractional calculus

Premium Partners