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Multicomponent diffusion in polymeric liquids.

C F Curtiss1, R B Bird

  • 1Theoretical Chemistry Institute, Department of Chemistry, University of Wisconsin, Madison, WI 53706, USA.

Proceedings of the National Academy of Sciences of the United States of America
|July 23, 1996
PubMed
Summary

This study presents extended Maxwell-Stefan equations for multicomponent diffusion in polymeric liquid mixtures. The new model accurately describes diffusion for both dilute and concentrated polymer solutions.

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Area of Science:

  • Polymer Physics
  • Chemical Engineering
  • Physical Chemistry

Background:

  • Understanding diffusion in polymeric liquid mixtures is crucial for various industrial processes.
  • Existing kinetic theories often simplify the complex interactions within these systems.
  • Accurate modeling of multicomponent diffusion is essential for predicting mixture behavior.

Purpose of the Study:

  • To derive extended Maxwell-Stefan equations from phase-space kinetic theory for polymeric liquid mixtures.
  • To provide a theoretical framework that accounts for inter-molecular bead interactions.
  • To validate the derived equations against known results for dilute and undiluted polymer systems.

Main Methods:

  • Utilizing phase-space kinetic theory to model polymeric liquid mixtures.

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  • Representing polymer molecules as flexible bead-spring structures.
  • Modifying the hydrodynamic drag force expression to include explicit bead-bead interactions between different molecules.

    • Main Results:

    • A set of extended Maxwell-Stefan equations for multicomponent diffusion in polymeric liquid mixtures was successfully derived.
    • The derived equations were shown to reduce to standard results for dilute polymer solutions.
    • The model also accurately reproduces results for undiluted polymer systems.

    Conclusions:

    • The developed phase-space kinetic theory provides a more comprehensive description of diffusion in polymeric liquids.
    • Explicitly accounting for bead-bead interactions is key to improving diffusion models.
    • This work offers a robust theoretical tool for analyzing and predicting diffusion phenomena in complex polymer systems.