A new look to non-Fickian diffusion
Gudiño, Elias; Grassi, Mario; Ferreira, José A.; De Oliveira, Paula
Applied Mathematical Modelling, 39 (2015), 194-204
http://dx.doi.org/10.1016/j.apm.2014.05.030
In this paper a non linear mathematical model to describe absorption phenomena in polymers is proposed. The model is established assuming that the diffusing penetrant causes a deformation which induces a viscoelastic stress responsible for a convective field. This convective field is defined to represent an opposition of the polymer to the Fickian diffusion. Several numerical examples show the effectiveness of the model.
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