Shock formation in a multidimensional viscoelastic diffusive system
Published
Journal Article
We examine a model for non-Fickian 'sorption overshoot' behavior in diffusive polymer-penetrant systems. The equations of motion proposed by Cohen and White [SIAM J. Appl. Math., 51 (1991), pp. 472-483] are solved for two-dimensional problems using matched asymptotic expansions. The phenomenon of shock formation predicted by the model is examined and contrasted with similar behavior in classical reaction-diffusion systems. Mass uptake curves produced by the model are examined and shown to compare favorably with experimental observations.
Full Text
Duke Authors
Cited Authors
- Cohen, DS; White, AB; Witelski, TP
Published Date
- January 1, 1995
Published In
Volume / Issue
- 55 / 2
Start / End Page
- 348 - 368
International Standard Serial Number (ISSN)
- 0036-1399
Digital Object Identifier (DOI)
- 10.1137/S0036139993269333
Citation Source
- Scopus