%0 journal article
%@ 0947-7411
%A Wilmers, J., Bargmann, S.

%D 2014
%J Heat and Mass Transfer
%N 11
%P 1543-1552 
%R doi:10.1007/s00231-014-1365-6
%T Simulation of non-classical diffusion in polymers
%U https://doi.org/10.1007/s00231-014-1365-6
11 
%X 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.