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Simulation of non-classical diffusion in polymers
Publikationstyp
Journal Article
Date Issued
2014-05-04
Sprache
English
Author(s)
TORE-URI
Journal
Volume
50
Issue
11
Start Page
1543
End Page
1552
Citation
Heat and Mass Transfer/Waerme- und Stoffuebertragung 50 (11): 1543-1552 (2014)
Publisher DOI
Scopus ID
Publisher
Springer
The present contribution is concerned with the computational modelling of non-classical diffusion in amorphous polymers. Special attention is paid to the limiting case of Case II diffusion. Application of the dual-phase-lag concept to Fick’s first law leads to a description of Case II behaviour. The change in material properties during the glass transition is explicitly accounted for by a concentration dependent formulation of the material parameters. The proposed model is well suited for modelling the sharp diffusion front and linear uptake kinetics associated with Case II diffusion. Application of a concentration dependent diffusion coefficient reduces the concentration gradient behind the front to a minimum. For the solution procedure, a finite element scheme in space and a finite difference method in time are applied. Three-dimensional numerical results are presented for classical Fickian and non-classical Case II diffusion. This paper adds to the basic understanding of the computational modelling of the Case II diffusion phenomenon.
DDC Class
530: Physik
540: Chemie