Numerical determination of the solvent diffusion coefficient in a concentrated polymer solution

Nikola Kojić, Aleksandar Kojić, Miloš Kojić

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

In chemical engineering applications involving solvent removal from a concentrated polymer solution where diffusion is the governing process (e.g. dry spinning of synthetic silk-like fibres), the determination of the concentration-dependent diffusion coefficient is essential. Diffusion of solvent through such a polymer solution can be described by Fick's law. We propose a numerical procedure to obtain the dependence of the diffusion coefficient on solvent concentration. The procedure employs the finite element method to model a pan weighing experiment, in which a small amount of the polymer solution is placed in a pan and allowed to evaporate into air. In the computational model, the changing depth of the polymer solution is taken into account and the varying diffusion coefficient is determined so as to match the experimentally recorded mass loss.

Original languageEnglish (US)
Pages (from-to)1003-1013
Number of pages11
JournalCommunications in Numerical Methods in Engineering
Volume22
Issue number9
DOIs
StatePublished - Sep 2006

Keywords

  • Diffusion coefficient dependence on concentration
  • Diffusion of solvent through a concentrated polymer solution
  • Finite element method

ASJC Scopus subject areas

  • Engineering (miscellaneous)
  • Applied Mathematics
  • Computational Mechanics

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