Isothermal sorption from finite baths: Effect of the boundary layer on sorption of diffusants by solids of various geometrical shapes
Article first published online: 10 MAR 2003
Copyright © 1991 John Wiley & Sons, Inc.
Journal of Applied Polymer Science
Volume 42, Issue 6, pages 1519–1523, 20 March 1991
How to Cite
Etters, J. N. (1991), Isothermal sorption from finite baths: Effect of the boundary layer on sorption of diffusants by solids of various geometrical shapes. J. Appl. Polym. Sci., 42: 1519–1523. doi: 10.1002/app.1991.070420605
- Issue published online: 10 MAR 2003
- Article first published online: 10 MAR 2003
- Manuscript Accepted: 9 JUL 1990
- Manuscript Received: 21 MAR 1990
The literature reveals no equation that expresses the influence of the diffusional boundary layer on diffusion-controlled sorption of dyes or other material by polymeric substrates from finite baths. In view of this mathematical void, a technique is proposed that approximates dimensionless sorption time as a function of fractional equilibrium uptake of diffusant by polymer, dimensionless dye bath exhaustion, and dimensionless boundary layer. The computational technique is based on relationships found in transitional kinetics and is shown to be applicable for sorption systems involving polymeric material of different geometrical shapes. To illustrate the technique, dimensionless half-times of sorption are computed for the case of diffusant uptake by a cylinder.