### Abstract

Original language | Undefined |
---|---|

Place of Publication | Enschede |

Publisher | Applied Analysis and Mathematical Physics (AAMP) |

Number of pages | 17 |

ISBN (Print) | 0169-2690 |

Publication status | Published - 2003 |

### Publication series

Name | Mathematical Communications |
---|---|

Publisher | Department of Applied Mathematics, University of Twente |

No. | 1679 |

ISSN (Print) | 0169-2690 |

### Keywords

- MSC-35K55
- MSC-65P40
- MSC-35Q35
- METIS-211939
- IR-65864
- MSC-60G15
- MSC-76D10
- MSC-76A10
- EWI-3499

### Cite this

*Bond vector probability distribution function of bulk molecules*. (Mathematical Communications; No. 1679). Enschede: Applied Analysis and Mathematical Physics (AAMP).

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*Bond vector probability distribution function of bulk molecules*. Mathematical Communications, no. 1679, Applied Analysis and Mathematical Physics (AAMP), Enschede.

**Bond vector probability distribution function of bulk molecules.** / Tchesnokov, M.A.; Molenaar, J.; Slot, J.J.M.

Research output: Book/Report › Report › Professional

TY - BOOK

T1 - Bond vector probability distribution function of bulk molecules

AU - Tchesnokov, M.A.

AU - Molenaar, J.

AU - Slot, J.J.M.

N1 - Imported from MEMORANDA

PY - 2003

Y1 - 2003

N2 - In our previous work we studied dynamics of the interfacial layer between flowing polymer melt and a solid wall. We showed that the ensemble-averaged behavior of the polymer molecules grafted on the wall could be successfully described in terms of the so-called bond vector probability distribution function (BVPDF). As was shown, the BVPDF satisfies a certain nonlinear integro-differential equation with all the major relaxation mechanisms taken into account. The goal of the present work is to extend the developed formalism to the bulk flow region. For that the corresponding equation of motion for the BVDPF is derived which allows for reptation and the isotropic boundary conditions inherent to the bulk chains.

AB - In our previous work we studied dynamics of the interfacial layer between flowing polymer melt and a solid wall. We showed that the ensemble-averaged behavior of the polymer molecules grafted on the wall could be successfully described in terms of the so-called bond vector probability distribution function (BVPDF). As was shown, the BVPDF satisfies a certain nonlinear integro-differential equation with all the major relaxation mechanisms taken into account. The goal of the present work is to extend the developed formalism to the bulk flow region. For that the corresponding equation of motion for the BVDPF is derived which allows for reptation and the isotropic boundary conditions inherent to the bulk chains.

KW - MSC-35K55

KW - MSC-65P40

KW - MSC-35Q35

KW - METIS-211939

KW - IR-65864

KW - MSC-60G15

KW - MSC-76D10

KW - MSC-76A10

KW - EWI-3499

M3 - Report

SN - 0169-2690

T3 - Mathematical Communications

BT - Bond vector probability distribution function of bulk molecules

PB - Applied Analysis and Mathematical Physics (AAMP)

CY - Enschede

ER -