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Self-consistent dynamics of wall slip.

Johan L A Dubbeldam1, Jaap Molenaar

  • 1Faculty of Mathematics and Computer Science, Technische Universiteit Eindhoven, Den Dolech 2, 5600 MB Eindhoven, The Netherlands. jdubbeld@win.tue.nl

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 15, 2003
PubMed
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This study models polymer melt wall slip using tethered chains. It reveals an entanglement-disentanglement transition causing a slip velocity jump, influenced by entanglements and grafting density.

Area of Science:

  • Polymer Physics
  • Rheology
  • Materials Science

Background:

  • Wall slip is a critical phenomenon in polymer melt processing.
  • Existing models often lack a comprehensive treatment of molecular relaxation mechanisms and chain-bulk interactions.

Purpose of the Study:

  • To develop and analyze a molecular model explaining wall slip in polymer melts.
  • To investigate the role of convective constraint release and chain stretching in slip behavior.
  • To understand the influence of entanglements and grafting density on slip phenomena.

Main Methods:

  • A tube model for tethered chains incorporating key relaxation mechanisms.
  • Self-consistent treatment of interactions between tethered chains and bulk flow.
  • Numerical simulations and analytical approaches for model analysis.

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Main Results:

  • The model predicts an entanglement-disentanglement transition, leading to a jump in slip velocity.
  • Slip velocity increases with entanglement number and grafting density.
  • Wall shear stress shows nonmonotonic behavior, indicating potential for hysteresis and spurt instabilities.
  • The stick-slip transition is found to be asymmetrical, with stick-to-slip being faster than slip-to-stick.

Conclusions:

  • The molecular model successfully explains wall slip phenomena in polymer melts.
  • The interplay between tethered chain relaxation and bulk flow dynamics governs slip behavior.
  • A dimensionless parameter is identified that dictates the timescale of bulk flow deceleration.