A rigorous model for constraint release in the bulk and the near-wall region

M.A. Tchesnokov, J. Molenaar, J.J.M. Slot

Research output: Book/ReportReportProfessional

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Abstract

In the present work an attempt is made to build a rigorous theoretical model for the constraint release mechanism found to play an important role in the dynamics of polymer melts. Our goal is a formalism free of adjustable parameters and ''ad-hoc'' assumptions which are inherent to existing theories for constraint release. Our model is capable to describe both thermal and convective constraint release. These processes have the same effect on chains and accordingly can be unified in a single framework. Since polymer chains in the bulk and in the near-wall layer may experience different types of constraint release, the latter case is studied separately. This topic is closely related to the long-standing problem of polymer melt flow instabilities encountered during extrusion. Nowadays it is believed that constraint release plays a crucial role in the dynamics of tethered chains preventing them from being squeezed against the wall. The resulting non-monotonous slip-law is the most probable reason of the so-called spurt instability.
Original languageUndefined
Place of PublicationEnschede
PublisherMathematical Physics & Computional Mechanics
Number of pages29
Publication statusPublished - 2003

Publication series

NameMemorandum
PublisherDepartment of Applied Mathematics, University of Twente
No.1693
ISSN (Print)0169-2690

Keywords

  • MSC-65P40
  • MSC-35K55
  • MSC-35Q35
  • METIS-214370
  • IR-65878
  • MSC-76A10
  • MSC-76D10
  • MSC-60G15
  • EWI-3513

Cite this

Tchesnokov, M. A., Molenaar, J., & Slot, J. J. M. (2003). A rigorous model for constraint release in the bulk and the near-wall region. (Memorandum; No. 1693). Enschede: Mathematical Physics & Computional Mechanics.
Tchesnokov, M.A. ; Molenaar, J. ; Slot, J.J.M. / A rigorous model for constraint release in the bulk and the near-wall region. Enschede : Mathematical Physics & Computional Mechanics, 2003. 29 p. (Memorandum; 1693).
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abstract = "In the present work an attempt is made to build a rigorous theoretical model for the constraint release mechanism found to play an important role in the dynamics of polymer melts. Our goal is a formalism free of adjustable parameters and ''ad-hoc'' assumptions which are inherent to existing theories for constraint release. Our model is capable to describe both thermal and convective constraint release. These processes have the same effect on chains and accordingly can be unified in a single framework. Since polymer chains in the bulk and in the near-wall layer may experience different types of constraint release, the latter case is studied separately. This topic is closely related to the long-standing problem of polymer melt flow instabilities encountered during extrusion. Nowadays it is believed that constraint release plays a crucial role in the dynamics of tethered chains preventing them from being squeezed against the wall. The resulting non-monotonous slip-law is the most probable reason of the so-called spurt instability.",
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Tchesnokov, MA, Molenaar, J & Slot, JJM 2003, A rigorous model for constraint release in the bulk and the near-wall region. Memorandum, no. 1693, Mathematical Physics & Computional Mechanics, Enschede.

A rigorous model for constraint release in the bulk and the near-wall region. / Tchesnokov, M.A.; Molenaar, J.; Slot, J.J.M.

Enschede : Mathematical Physics & Computional Mechanics, 2003. 29 p. (Memorandum; No. 1693).

Research output: Book/ReportReportProfessional

TY - BOOK

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N2 - In the present work an attempt is made to build a rigorous theoretical model for the constraint release mechanism found to play an important role in the dynamics of polymer melts. Our goal is a formalism free of adjustable parameters and ''ad-hoc'' assumptions which are inherent to existing theories for constraint release. Our model is capable to describe both thermal and convective constraint release. These processes have the same effect on chains and accordingly can be unified in a single framework. Since polymer chains in the bulk and in the near-wall layer may experience different types of constraint release, the latter case is studied separately. This topic is closely related to the long-standing problem of polymer melt flow instabilities encountered during extrusion. Nowadays it is believed that constraint release plays a crucial role in the dynamics of tethered chains preventing them from being squeezed against the wall. The resulting non-monotonous slip-law is the most probable reason of the so-called spurt instability.

AB - In the present work an attempt is made to build a rigorous theoretical model for the constraint release mechanism found to play an important role in the dynamics of polymer melts. Our goal is a formalism free of adjustable parameters and ''ad-hoc'' assumptions which are inherent to existing theories for constraint release. Our model is capable to describe both thermal and convective constraint release. These processes have the same effect on chains and accordingly can be unified in a single framework. Since polymer chains in the bulk and in the near-wall layer may experience different types of constraint release, the latter case is studied separately. This topic is closely related to the long-standing problem of polymer melt flow instabilities encountered during extrusion. Nowadays it is believed that constraint release plays a crucial role in the dynamics of tethered chains preventing them from being squeezed against the wall. The resulting non-monotonous slip-law is the most probable reason of the so-called spurt instability.

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KW - MSC-76D10

KW - MSC-60G15

KW - EWI-3513

M3 - Report

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PB - Mathematical Physics & Computional Mechanics

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ER -

Tchesnokov MA, Molenaar J, Slot JJM. A rigorous model for constraint release in the bulk and the near-wall region. Enschede: Mathematical Physics & Computional Mechanics, 2003. 29 p. (Memorandum; 1693).