A universal constitutive model for the interfacial layer between a polymer melt and a solid wall

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

Research output: Book/ReportReportProfessional

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Abstract

In a preceeding report we derived the evolution equation for the bond vector probability distribution function (BVPDF) of tethered molecules. It describes the behavior of polymer molecules attached to a solid wall interacting with an adjacent flowing melt of bulk polymer molecules and includes all the major relaxation mechanisms such as constraint release, retraction and convection. The derived equation is quite universal and valid for all flow regimes. In the present paper the developed formalism is further analyzed. We begin our analysis with the simple case of slow flows. Then, as expected, a remarkable reduction of the theory is possible. Later on the more general case is considered.
Original languageUndefined
Place of PublicationEnschede
PublisherUniversity of Twente, Department of Applied Mathematics
Number of pages11
ISBN (Print)0169-2690
Publication statusPublished - 2003

Publication series

NameMemorandum
PublisherDepartment of Applied Mathematics, University of Twente
No.1677
ISSN (Print)0169-2690

Keywords

  • EWI-3497
  • MSC-65P40
  • MSC-76D10
  • MSC-60G15
  • MSC-35K55
  • MSC-35Q35
  • IR-65862
  • METIS-211863
  • MSC-76A10

Cite this

Tchesnokov, M. A., Molenaar, J., & Slot, J. J. M. (2003). A universal constitutive model for the interfacial layer between a polymer melt and a solid wall. (Memorandum; No. 1677). Enschede: University of Twente, Department of Applied Mathematics.
Tchesnokov, M.A. ; Molenaar, J. ; Slot, J.J.M. / A universal constitutive model for the interfacial layer between a polymer melt and a solid wall. Enschede : University of Twente, Department of Applied Mathematics, 2003. 11 p. (Memorandum; 1677).
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Tchesnokov, MA, Molenaar, J & Slot, JJM 2003, A universal constitutive model for the interfacial layer between a polymer melt and a solid wall. Memorandum, no. 1677, University of Twente, Department of Applied Mathematics, Enschede.

A universal constitutive model for the interfacial layer between a polymer melt and a solid wall. / Tchesnokov, M.A.; Molenaar, J.; Slot, J.J.M.

Enschede : University of Twente, Department of Applied Mathematics, 2003. 11 p. (Memorandum; No. 1677).

Research output: Book/ReportReportProfessional

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N2 - In a preceeding report we derived the evolution equation for the bond vector probability distribution function (BVPDF) of tethered molecules. It describes the behavior of polymer molecules attached to a solid wall interacting with an adjacent flowing melt of bulk polymer molecules and includes all the major relaxation mechanisms such as constraint release, retraction and convection. The derived equation is quite universal and valid for all flow regimes. In the present paper the developed formalism is further analyzed. We begin our analysis with the simple case of slow flows. Then, as expected, a remarkable reduction of the theory is possible. Later on the more general case is considered.

AB - In a preceeding report we derived the evolution equation for the bond vector probability distribution function (BVPDF) of tethered molecules. It describes the behavior of polymer molecules attached to a solid wall interacting with an adjacent flowing melt of bulk polymer molecules and includes all the major relaxation mechanisms such as constraint release, retraction and convection. The derived equation is quite universal and valid for all flow regimes. In the present paper the developed formalism is further analyzed. We begin our analysis with the simple case of slow flows. Then, as expected, a remarkable reduction of the theory is possible. Later on the more general case is considered.

KW - EWI-3497

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KW - MSC-60G15

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KW - IR-65862

KW - METIS-211863

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Tchesnokov MA, Molenaar J, Slot JJM. A universal constitutive model for the interfacial layer between a polymer melt and a solid wall. Enschede: University of Twente, Department of Applied Mathematics, 2003. 11 p. (Memorandum; 1677).