### 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 language | Undefined |
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Place of Publication | Enschede |

Publisher | University of Twente, Department of Applied Mathematics |

Number of pages | 11 |

ISBN (Print) | 0169-2690 |

Publication status | Published - 2003 |

### Publication series

Name | Memorandum |
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Publisher | Department 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.