The dual mode sorption solubility isotherms assume, and in instances Zimm-Lundberg analysis of the solubilities show, that glassy polymers are heterogeneous and that the distribution of the solute in the polymer is also inhomogeneous. under some conditions, the heterogeneities cannot be represented as holes. a mathematical model describing diffusion in inhomogeneous polymer membranes is presented using Cahn and Hilliard's gradient theory. the fractional mass uptake is found to be proportional to the fourth root of time rather than the square root, predicted by Fickian diffusion. This type of diffusion is classified as pseudo-Fickian. the model is compared with one experimental result available. a negative value of the persistence factor is obtained and the results are interpreted.
S. S. Kasargod et al., "Diffusion in Inhomogeneous Polymer Membranes," Journal of Chemical Physics, vol. 103, no. 16, pp. 7114 - 7119, American Institute of Physics (AIP), Oct 1995.
The definitive version is available at https://doi.org/10.1063/1.470340
Chemical and Biochemical Engineering
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© 1995 American Institute of Physics (AIP), All rights reserved.
22 Oct 1995