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On a convective condition in the diffusion of a solvent into a polymer with non-constant conductivity coefficient

✍ Scribed by Marcos Gaudiano; Germán Ariel Torres; Cristina Turner

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
703 KB
Volume
80
Category
Article
ISSN
0378-4754

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✦ Synopsis

We studied a one-dimensional free boundary problem arising in the polymer industry. Imposing a convective boundary condition, the solution has an interesting asymptotic behavior. It is found that the free boundary is bounded by a constant which does not depend on the conductivity coefficient, which holds even if the diffusion process is non-linear. Numerical methods are presented to compute the solutions and to compare with the theoretical results.

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