4.4 Article

On the origin of extrusion instabilities: Linear stability analysis of the viscoelastic die swell

期刊

JOURNAL OF NON-NEWTONIAN FLUID MECHANICS
卷 224, 期 -, 页码 61-77

出版社

ELSEVIER SCIENCE BV
DOI: 10.1016/j.jnnfm.2015.07.011

关键词

Extrusion instabilities; Polymer melts; Sharkskin; Stability analysis; Extrudate swell; Surface tension

资金

  1. General Secretariat of Research and Technology of Greece under the Action Supporting Postdoctoral Researchers (EIFVM) [PE8(906)]
  2. General Secretariat of Research and Technology of Greece under Excellence Program (FilCoMicrA) [1918]
  3. European Social Fund

向作者/读者索取更多资源

It is well-known that by increasing the flow rate in polymer extrusion, the flow becomes unstable and the smooth extrudate surface becomes wavy and disordered to an increasing degree. In order to investigate the mechanisms responsible for these instabilities we perform a linear stability analysis of the steady extrusion of a viscoelastic fluid flowing through a planar die under creeping flow conditions. We consider the Phan-Thien-Tanner (PTT) model to account for the viscoelasticity of the material. We employ the mixed finite element method combined with an elliptic grid generator to account for the deformable shape of the interface. The generalized eigenvalue problem is solved using Arnoldi's algorithm. We perform a thorough parametric study in order to determine the effects of all material properties and rheological parameters. We investigate in detail the effect of the interfacial tension and the presence of a deformable interface. It is found that the presence of a finite surface tension destabilizes the flow as compared to the case of the stick-slip flow. We recognize two modes, which become unstable beyond a critical value of the Weissenberg number and perform an energy analysis to examine the mechanisms responsible for the destabilization of the flow and compare against the mechanisms that have been suggested in the literature. (C) 2015 Elsevier B.V. All rights reserved.

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