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SIAMAM
2002

Desorption Overshoot in Polymer-Penetrant Systems: Asymptotic and Computational Results

13 years 11 months ago
Desorption Overshoot in Polymer-Penetrant Systems: Asymptotic and Computational Results
Many practically relevant polymers undergoing desorption change from the rubbery (saturated) to the glassy (nearly dry) state. The dynamics of such systems cannot be described by the simple Fickian diffusion equation due to viscoelastic effects. The mathematical model solved numerically is a set of two coupled PDEs for concentration and stress. Asymptotic solutions are presented for a moving boundary-value problem for the two states in the short-time limit. The solutions exhibit desorption overshoot, where the penetrant concentration in the interior is less than that on the surface. In addition, it is shown that if the underlying time scale of the equations is ignored when postulating boundary conditions, nonphysical solutions can result. Key words. asymptotic expansions, desorption, moving boundary-value problems, perturbation methods, polymer-penetrant systems, finite-element method AMS subject classifications. 35B20, 35C15, 35C20, 35K60, 35R35, 65N30, 74D10, 76M10, 76R99, 80A22 PII....
David A. Edwards, Richard A. Cairncross
Added 23 Dec 2010
Updated 23 Dec 2010
Type Journal
Year 2002
Where SIAMAM
Authors David A. Edwards, Richard A. Cairncross
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