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Traveling wave solutions for case II diffusion in polymers

Publication ,  Journal Article
Witelski, TP
Published in: Journal of Polymer Science, Part B: Polymer Physics
January 15, 1996

Case II diffusion of penetrant liquids in polymer films is characterized by constant-velocity propagation of a phase interface. We review the development of viscoelastic models describing case II diffusion and then present a phase plane analysis for traveling wave solutions. For simplified, piecewise-constant coefficient models we give closed-form analytic solutions showing the dependence on various physical parameters in both viscous and viscoelastic diffusive systems. We will also compare the results of our analysis with results from numerical simulations of more general models. © 1996 John Wiley & Sons, Inc.

Duke Scholars

Published In

Journal of Polymer Science, Part B: Polymer Physics

DOI

ISSN

0887-6266

Publication Date

January 15, 1996

Volume

34

Issue

1

Start / End Page

141 / 150

Related Subject Headings

  • Polymers
  • 09 Engineering
  • 03 Chemical Sciences
  • 02 Physical Sciences
 

Citation

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Witelski, T. P. (1996). Traveling wave solutions for case II diffusion in polymers. Journal of Polymer Science, Part B: Polymer Physics, 34(1), 141–150. https://doi.org/10.1002/(SICI)1099-0488(19960115)34:1<141::AID-POLB12>3.0.CO;2-E
Witelski, T. P. “Traveling wave solutions for case II diffusion in polymers.” Journal of Polymer Science, Part B: Polymer Physics 34, no. 1 (January 15, 1996): 141–50. https://doi.org/10.1002/(SICI)1099-0488(19960115)34:1<141::AID-POLB12>3.0.CO;2-E.
Witelski TP. Traveling wave solutions for case II diffusion in polymers. Journal of Polymer Science, Part B: Polymer Physics. 1996 Jan 15;34(1):141–50.
Witelski, T. P. “Traveling wave solutions for case II diffusion in polymers.” Journal of Polymer Science, Part B: Polymer Physics, vol. 34, no. 1, Jan. 1996, pp. 141–50. Scopus, doi:10.1002/(SICI)1099-0488(19960115)34:1<141::AID-POLB12>3.0.CO;2-E.
Witelski TP. Traveling wave solutions for case II diffusion in polymers. Journal of Polymer Science, Part B: Polymer Physics. 1996 Jan 15;34(1):141–150.
Journal cover image

Published In

Journal of Polymer Science, Part B: Polymer Physics

DOI

ISSN

0887-6266

Publication Date

January 15, 1996

Volume

34

Issue

1

Start / End Page

141 / 150

Related Subject Headings

  • Polymers
  • 09 Engineering
  • 03 Chemical Sciences
  • 02 Physical Sciences