Wilmers, JanaJanaWilmersBargmann, SwantjeSwantjeBargmann2021-07-152021-07-152014-05-04Heat and Mass Transfer/Waerme- und Stoffuebertragung 50 (11): 1543-1552 (2014)http://hdl.handle.net/11420/9907The 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.en1432-118120141115431552SpringerPhysikChemieJournal Article10.1007/s00231-014-1365-6Other