Abstract
AbstractWater diffusion and swelling of polymer films can be modeled by nonlinear diffusion equations with fixed or moving boundaries, investigating the Fick and the Stefan problems. To form a better view of the dynamics of the problems, this paper reports the mathematical modeling of water diffusion with linear and nonlinear diffusion coefficients by using the finite element method, and the description of boundary movements calculated with a fully implicit upwind scheme. Experimental results are used to support theoretical data. It is found that porosity strongly affects diffusion properties and proposed models describe analyzed phenomena with high reliability. Models describing water diffusion and volume increase after swelling will be considered in future studies involving degradable and erodible matrices.
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