Shrinkage of a polymer occurs during the process of desorption but the classical models, as well as the analytical solutions, are obtained by neglecting this change in the dimension of the polymer. A new model, based on a numerical method with finite differences, is built up by taking into account n
Process of absorption of a liquid by a thin sheet of polymer by considering diffusion and change in dimension
โ Scribed by A. Bakhouya; A. El Brouzi; J. Bouzon; J.M. Vergnaud
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 491 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0014-3057
No coin nor oath required. For personal study only.
โฆ Synopsis
When a polymer is in contact with a liquid, the liquid may enter the polymer, the process being controlled by transient diffusion, with subsequent swelling. A mathematical treatment cannot be made under these conditions, and a numerical treatment must be used. Generally, a framework of reference with constant dimensions is considered. A numerical model based on a method with finite difference takes into account all the facts, not only the transient diffusion with constant or concentration-dependent diffusivity but also the change in dimensions. The kinetics of absorption are obtained, as well as the profiles of concentration within the sheet.
๐ SIMILAR VOLUMES
A method to obt,ain the diffusion coefficients and free volume parameters from desorption data for organic liquids in polymer films is presented. The method c0nsist.s of fit,ting a numerical solution of the diffusion equation to experimental desorption data. Some problems that arise in the solution