Abstract
A mechanism for explaining some of the instabilities observed during the extrusion of polymer melts is further explored. This is based on the combination of non-monotonic slip and elasticity, which permits the existence of periodic solutions in viscometric flows. The time-dependent, incompressible, one-dimensional plane Poiseuine flow of an Oldroyd-B fluid with slip along the wall is studied using a nonmonotonic slip equation relating the shear stress to the velocity at the wall. The stability of the steady-state solutions to one-dimensional perturbations at fixed volumetric flow rate is analyzed by means of a linear stability analysis and finite element calculations. Self-sustained periodic oscillations of the pressure gradient are obtained when an unstable steady-state is perturbed, in direct analogy with experimental observations.
Original language | English |
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Pages (from-to) | 2498-2504 |
Number of pages | 7 |
Journal | Polymer Engineering and Science |
Volume | 39 |
Issue number | 12 |
DOIs | |
Publication status | Published - Dec 1 1999 |
ASJC Scopus subject areas
- Chemistry(all)
- Polymers and Plastics
- Materials Chemistry