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 |
|---|---|
| Pages (from-to) | 2498-2504 |
| Number of pages | 7 |
| Journal | Polymer Engineering and Science |
| Volume | 39 |
| Issue number | 12 |
| DOIs | |
| Publication status | Published - Dec 1999 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Chemical Engineering(all)
- Materials Chemistry
- Polymers and Plastics
Cite this
Mechanism for extrusion instabilities in polymer melts. / Fyrillas, M.; Georgiou, G.; Vlassopoulos, D.; Hatzikiriakos, S.
In: Polymer Engineering and Science, Vol. 39, No. 12, 12.1999, p. 2498-2504.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Mechanism for extrusion instabilities in polymer melts
AU - Fyrillas, M.
AU - Georgiou, G.
AU - Vlassopoulos, D.
AU - Hatzikiriakos, S.
PY - 1999/12
Y1 - 1999/12
N2 - 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.
AB - 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.
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UR - http://www.scopus.com/inward/citedby.url?scp=0033280681&partnerID=8YFLogxK
U2 - 10.1002/pen.11637
DO - 10.1002/pen.11637
M3 - Article
VL - 39
SP - 2498
EP - 2504
JO - Polymer Engineering and Science
JF - Polymer Engineering and Science
SN - 0032-3888
IS - 12
ER -