Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-18T22:25:41.563Z Has data issue: false hasContentIssue false

Thermally-induced extrudate swell

Published online by Cambridge University Press:  19 April 2006

H. B. Phuoc
Affiliation:
Department of Mechanical Engineering, University of Sydney, Sydney 2006, Australia
R. I. Tanner
Affiliation:
Department of Mechanical Engineering, University of Sydney, Sydney 2006, Australia

Abstract

In many polymer processing applications, the generation of heat by viscous losses in the flowing molten polymer is highly significant. The heating reduces the viscosity of the melt sharply and the flow patterns are different from the isothermal case. In this paper, a finite element scheme based on the Galerkin method is developed and is used to explore the effects of thermally induced property changes in extrusion.

In the program we solve simultaneously for the flow and temperature fields at each iteration. To check the program for accuracy and correctness, some simple problems were first attempted. A solution for viscous heating in Poiseuille flow was used to check the variable-viscosity part of the program. The crucial convection (‘radiation’) boundary condition was checked using the solution for cooling of a moving rod. Finally, the swelling of extruded jets with self-heating was investigated. A new phenomenon, thermal extrudate swell, was thereby discovered. We have found extrudate expansions up to 70% of the die diameter in a Newtonian fluid with thermal properties similar to those of low density polyethylene. It is clear that this phenomenon will affect many experimental interpretations of extrudate swelling.

Type
Research Article
Copyright
© 1980 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Acierno, D., Dalton, J. N., Rodriguez, J. M. & White, J. L. 1971 Rheological and heat transfer aspects of melt spinning of mono-filament fibres of polyethylene and polystyrene J. Appl. Polymer Sci. 15, 2395.Google Scholar
Gartling, D. K. 1977 Convective heat transfer analysis by the finite element method. Computer Methods in Appl. Mech. & Engng 12, 365.Google Scholar
Goren, S. L. & Wronski, S. 1966 The shape of low-speed capillary jets of Newtonian liquids. J. Fluid Mech. 25, 185.Google Scholar
Kearsley, E. A. 1962 The viscous heating correction for viscometer flows. Trans. Soc. Rheol. 6, 253.Google Scholar
Laskaris, T. E. 1975 Finite element analysis of compressible and incompressible viscous flow and heat transfer problems. Phys. Fluids 18, 1639.Google Scholar
Nickell, R. E., Tanner, R. I. & Caswell, B. 1974 The solution of viscous incompressible jet and free-surface flows using finite-element methods. J. Fluid Mech. 65, 189.Google Scholar
Phuoc, H. B. 1978 Solutions to some flow problems via a finite element method. M.Eng.Sc. thesis, University of Sydney.
Pearson, J. R. A. 1977 Variable viscosity flows in channels with high heat generation. J. Fluid Mech. 83, 191.Google Scholar
Tanner, R. I. 1970 A theory of die swell. J. Polymer Sci. A 8, 2067.Google Scholar
Tanner, R. I. 1980 A new inelastic theory of extrudate swell. J. Non-Newtonian Fluid Mech. 6, 289.Google Scholar
Tanner, R. I., Nickell, R. E. & Bilger, R. W. 1975 Finite element methods for the solution of some incompressible non-Newtonian fluid mechanics problems with free surfaces. Computer Methods in Appl. Mech. & Engng 6, 155.Google Scholar
Tay, A. O. & de Vahl Davies, G. 1971 Application of the finite element method to convection heat transfer between parallel planes. Int. J. Heat Mass Transfer 14, 1057.Google Scholar