Estimating diffusion through flake-filled membranes

Wayne R. Falla, Michael Mulski, E. L. Cussler

Research output: Contribution to journalArticlepeer-review

150 Scopus citations


Monte Carlo calculations of diffusion across membranes containing impermeable flakes show effects of tortuous paths around the flakes, of diffusion through slits between flakes, and of constricted transport from entering these slits. The calculations show that a simple analytical equation developed by Aris reliably predicts these three effects. Both the calculations and this equation show the separate conditions when each of these effects is most important. The results have value in barrier packaging, in clothing useful in chemical warfare, and in transport across human skin.

Original languageEnglish (US)
Pages (from-to)129-138
Number of pages10
JournalJournal of Membrane Science
Issue number1
StatePublished - Oct 2 1996

Bibliographical note

Funding Information:
This work was primarily supported by the National Science Foundation (grant CTS 91-23837). M. Mulski was supported by Pharmaceutical Manufacturers Association Foundation Inc. Other support came from Defense Advanced Research Products Administration (grant N/N 0001492J1875).


  • Diffusion
  • Estimation
  • Flake-filled membranes


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