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| Titel: |
Diffusion in Polymers with Concentration Dependent Diffusivity |
| Auteur: |
Huang, Jan-Chan Liu, Helen Liu, Yl |
| Verschenen in: |
International journal of polymeric materials |
| Paginering: | Jaargang 49 (2001) nr. 1 pagina's 15-24 |
| Jaar: |
2001-03-01 |
| Inhoud: |
Diffusion coefficients of several solute-polymer systems can be characterized by an exponentially dependent function D = D0Exp(AC). The cumulative mass uptake after a step increase of the solute concentration at the surface was considered using a film with a finite thickness and a semi-infinite domain. For finite film the diffusion equation was solved numerically by the Crank—Nicholson method. The results showed that at the beginning stage the mass uptake is proportional to √ for both constant diffusivity and concentration dependent diffusivity. For a semi-infinite domain a transformation of variables led to a nonlinear second order ordinary differential equation which can be solved numerically to obtain the concentration function. The results of mass uptake using the Crank—Nicholson calculation on a finite thickness agree with the results of a semi-infinite calculation in the short time region. It is concluded that the diffusion coefficient as a function of concentration can be determined experimentally from the results of short-term absorption using a series of solute concentrations. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 2 van 10 gevonden artikelen
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