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A simple model of the melt fracture instability

Published online by Cambridge University Press:  26 September 2008

J. M. Greenberg  and
Y. Demay
J. M. Greenberg
Affiliation:
Department of Mathematics and Statistics, University of Maryland, Baltimore County, Baltimore, MD 21228, USA
Y. Demay
Affiliation:
Institut Non-Linéaire de Nice U.M.R.-C.N.R.S. no. 129, Sophia Antipolis, 1361 Route des Lucioles, 06560 Valbonne, France
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Abstract

In this note we develop and analyse a system of equations describing a molten linear polymer being extruded in a capillary rheometer which is operating under the controlled condition that the mean velocity at the capillary inlet is maintained at a constant value. Slipping of the melt at the pipe wall is permitted and an evolution equation for the boundary slip parameter is postulated. The combined system governing the mean cross-sectional velocity and slip parameter is shown to exhibit relaxation oscillations similar to those observed in actual rheometers.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 5 , Issue 3 , September 1994 , pp. 337 - 357
Copyright
Copyright © Cambridge University Press 1994

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References

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