Abstract
The velocity distribution along the axis of a low-density polyethylene (LDPE) melt strand extruded through an axisymmetric capillary and drawn by various forces is simulated using an integral constitutive equation with a PSM damping function (Papanastasiou, Scriven, Macosko, Journal of Rheology, 27: 381–410, 1983). The simulations are performed for different drawdown forces of the strand. The numerical results are compared with experimental data obtained by velocity measurements using the laser-Doppler velocimetry. The strand is drawn by rotating wheels as used in a Rheotens™ testing device. At drawdown forces greater than zero the investigations show that the strand velocity does not increase linearly with increasing distance from the die exit. Instead, it is observed that the acceleration of the strand increases monotonically. Except in the next vicinity of the die exit there is a good agreement between simulation and experiment. However, near to the die the simulation predicts a higher strand velocity.
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References
Bernstein, B., Kearsley, E.A. and Zapas, L.J., 'A study of stress relaxation with finite strain', Trans. Soc. Rheol. 7, 1963, 391–410.
Fulchiron, R., Verney, V., Michel, A. and Roustant, J.C., 'Correlations between relaxation time spec-trum and melt spinning behaviour of polypropylene. II: Melt spinning simulation from relaxation time spectrum', Poly. Eng. Sci. 35, 1995, 518–527.
Kaye, A., 'Diagnostic models for procedural bugs in basic mathematical skills', College of Aeronau-tics, Note No. 134, Cranfield, 1962.
Kramer, H. and Meiß ner, J., 'Application of the laser-Doppler velocimetry to polymer melt flow studies', in Proceedings of the 8th International Congress on Rheology 2: Fluids, Naples, 1980, 463–468.
Kurzbeck, S., 'Dehnrheologische Eigenschaften von Polyolefinschmelzen und Korrelationen mit ihrem Verarbeitungsverhalten beim Folienblasen und Thermoformen', Doctoral Thesis, Friedrich-Alexander-Universit¨ at Erlangen-N¨ urnberg, 1999.
Laun, H.M., 'Prediction of elastic strains of polymer melts in shear and elongation', J. Rheol. 30, 1986, 459–501.
Mackley, M.R. and Moore, P.T., 'Experimental velocity distribution measurements of high density polyethylene flowing into and within a two dimensional slit', J. non-Newtonian Fluid Mech 21, 1986, 337–358.
Meiß ner, J., 'Dehnungsverhalten von Poly¨ athylen-Schmelzen', Rheol. Acta 10, 1971, 230–242.
Meiß ner, J., 'Development of a universal extensional rheometer for a uniaxial extension of polymer melts', Trans. Soc. Rheol. 16, 1972, 405–420.
M¨unstedt, H., Kurzbeck, S. and Egersd¨ orfer, L., 'Influence of molecular structure on rheological properties of polyethylenes-Part II. Elongational behavior', Rheol. Acta 37, 1998, 21–29.
Papanastasiou, A.C., Scriven, L.E. and Macosko, C.W., 'An integral constitutive equation for mixed flows: Viscoelastic characterisation', J. Rheol. 27, 1983, 387–410.
Rauschenberger, V. and Laun, H.M., 'A recursive model for Rheotens tests', J. Rheol. 41, 1997, 419.
Schmidt, M., Waß ner, E. and M¨ unstedt, H., 'Setup and test of a laser-Doppler velocimeter for inves-tigations of flow behavior of polymer melts', Mech. Time-Dep. Mat. 3, 1999, 371–393.
Schneider, C., 'Modellierung des Dehnvorgangs von Polymerschmelzen bei der Drahtummantelung im Schlauchreckverfahren mit Hilfe uniaxialer Dehnexperimente', Doctoral Thesis, University of Erlangen, 2002.
Wagner, M.H., 'Elongational behaviour of polymer melts in constant elongation-rate, constant tensile stress and constant tensile force experiments', Rheol. Acta 18, 1978, 681–692.
Wagner, M.H., Bastian, H., Bernnat, A., Kurzbeck, S. and Chai, C.K., 'Determination of elongational viscosity of polymer melts by RME and Rheotens experiments', Rheol. Acta 41, 2002, 316–325.
Waß ner, E., 'Str¨ omungsuntersuchungen mit der Laser-Doppler-Anemometrie bei der Extrusion von Polymerschmelzen', Doctoral Thesis, University of Erlangen, 1998.
Waß ner, E., Schmidt, M. and M¨ unstedt, H., 'Entry flowof a PE-LD melt into a slit die: An experimental study by laser-Doppler velocimetry', J. Rheol. 43, 1999, 1339–1353.
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Schneider, C., Schwetz, M., Münstedt, H. et al. The Axial Velocity Distribution of a Polyethylene Strand During Extrusion: Simulation and Comparison with Measurements. Mechanics of Time-Dependent Materials 8, 215–224 (2004). https://doi.org/10.1023/B:MTDM.0000046795.16699.b8
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DOI: https://doi.org/10.1023/B:MTDM.0000046795.16699.b8