Abstract
The Lagrangian specification is used to simulate the transient filament stretching rheometer. Simulations are performed for a dilute PIB-solution modeled as a four mode Oldroyd-B fluid and a semidilute PIB-solution modeled as a non-linear single integral equation. The simulations are used to investigate a sequence of filament stretching rheometers. The questions of special and temporal homogeneity of the experiment are investigated. The simulations are compared with data from a specific rheometer by Tirtaadmadja and Sridhar.
Similar content being viewed by others
References
Baumgaertel M, Schausberger C, Winter HH (1990) The relaxation of polymers with linear flexible chains of uniform length. Rheol Acta 29:400–408
Bird RB, Armstrong RC, Hassager O (1987) Dynamics of polymeric liquids, vol. 1, 2nd ed., John Wiley & Sons, New York
Chang H, Lodge AS (1972) Comparison of rubberlike-liquid theory with stress-growth data for elongation of a low-density branched polyethylene melt. Rheol Acta 11:127–129
Ferry JD (1970) Viscoelastic properties of polymers, 2nd ed., John Wiley & Sons, New York
Harlen OG (1996) Calculation of transient viscoelastic flows using Lagrangian methods, paper presented at the euroconference “Constitutive relations and their applications” at the Isaac Newton Institute. University of Cambridge, April 1996
Hudson NE, Jones TER (1993) The A 1-project — an overview. J Non-Newtonian Fluid Mech 46:69–88
Joseph DD (1988) Breaking of viscous and viscoelastic threads on a liquid bridge, video of experiments done with Wilson SDD
Matta JE, Tyms RP (1990) Liquid stretching using a falling cylinder. J Non-Newtonian Fluid Mech 35:215–229
Van Nieuwkoop J, Muller, von Czemicki MMO (1996) Elongation and subsequent relaxation measurements on dilute polyisobutylene solutions. J Non-Newtonian Fluid Mech 67:105–123
Papanastasiou AC, Scriven LE, Macosko CW (1983) An integral constitutive equation for mixed flows: viscoelastic characterization. J Rheol 27:387–410
Quinzani LM, McKinley GH, Brown RA, Armstrong RC (1990) Modeling the Rheology of Polyisobutylene Solutions. J Rheol 34:705–748
Rasmussen HK, Hassager O (1993) Simulation of transient viscoelastic flow. J Non-Newtonian Fluid Mech 46:289–305
Rasmussen HK, Hassager O (1995) Simulation of transient viscoelastic flow with second order time integration. J Non-Newtonian Fluid Mech 56:65–84
Rasmussen HK, Hassager O (1996) On the sedimentation velocity of spheres in a polymeric liquid. Chemical Engineering Science 51:1431–1440
Shipman RWG, Denn MM, Keunings R (1991) Mechanics of the “falling plate” extensional rheometer. J Non-Newtonian Fluid Mech 40:281–288
Spiegelberg SH, Ables DC, McKinley GH (1996) The role of end-effects on measurements of extensional viscosity in filament stretching rheometers. J Non-Newtonian Fluid Mech 64:229–267
Spiegelberg SH, McKinley GH (1996) Stress relaxation and elastic decohesion of viscoelastic polymer solutions in extensional flow. J Non-Newtonian Fluid Mech 67:105–123
Sridhar T, Tirtaatmadja V, Nguyen DA, Gupta RK (1991) Measurement of extensional viscosity of polymer solutions. J Non-Newtonian Fluid Mech 40:271–280
Szabo P (1997) Transient filament stretching rheometer I: force balance analysis. Rheol Acta 36:277–284
Sørensen PB (1995) Rheological characterization of low density polyethylene, master thesis. Technical University of Denmark, December 1995
Tirtaatmadja V, Sridhar T (1993) A filament stretching device for measurement of extensional viscosity. J Rheol 37:1081–1102
Tirtaatmadja V, Sridhar T (1995) Comparison of constitutive equations for polymer solutions in uniaxial extension. J Rheol 39:1133–1160
Walters K (1992) Recent developments in rheometry. In: theoretical and applied rheology, ed. by Moldanaers P, Keunings R. Proc XIth Int Congr on Rheology, Brussels, Belgium, August 17–21, pp 16–23, Elsevier
Author information
Authors and Affiliations
Additional information
Dedicated to Prof. John D. Ferry on the occasion of his 85th birthday.
Rights and permissions
About this article
Cite this article
Kolte, M.I., Rasmussen, H.K. & Hassager, O. Transient filament stretching rheometer. Rheola Acta 36, 285–302 (1997). https://doi.org/10.1007/BF00366670
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00366670