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Swelling pressure equilibrium of swollen crosslinked systems in an external field. I: Theory

  • W. Borchard
Conference paper
Part of the Progress in Colloid & Polymer Science book series (PROGCOLLOID, volume 86)

Abstract

The deformation of an elastic fluid mixture in a centrifugal field leading to a continuous equilibrium has been described. The binary gel is assumed to remain isotropic in the deformed state. As soon as a boundary gel/solvent appears an osmotic pressure identical to the swelling pressure can be calculated which depends on the concentration inside the gel. For highly swollen gels closed expressions for the Svedberg-Pedersen equation are obtained. The influence of the hydrostatic pressure on the heterogeneous swelling equilibrium at the boundary gel/solvent has also been considered.

Key words

Gels deformation ultracentrifugal field swelling pressure discontinuous/continuous equilibrium 

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References

  1. 1.
    Riecke E (1894) Wied Ann 53:564Google Scholar
  2. 2.
    Breitenbach JW, Frank HP (1948) Mh Chemie 79:531Google Scholar
  3. 3.
    Rehage G (1964) Kolloid-Z u Z Polymere 194:16CrossRefGoogle Scholar
  4. 4.
    Rehage G (1964) Kolloid-Z u Z Polymere 196:97CrossRefGoogle Scholar
  5. 5.
    Rehage G (1964) Kolloid-Z u Z Polymere 199:1CrossRefGoogle Scholar
  6. 6.
    Borchard W (1975) Habilitationsschrift, ClausthalGoogle Scholar
  7. 7.
    Borchard W, Steinbrecht U (1991) Colloid Polym Sci 269:95CrossRefGoogle Scholar
  8. 8.
    Borchard W (1966) Dissertation, AachenGoogle Scholar
  9. 9.
    Posnjak E, Freundlich H (1912) Kolloid-Beih 3:417Google Scholar
  10. 10.
    Prins W, Pennings AJ (1961) J Polym Sci 49:507CrossRefGoogle Scholar
  11. 11.
    Enokson B (1971) Chem Scripta 1:221Google Scholar
  12. 12.
    Emberger A (1975) Dissertation, ClausthalGoogle Scholar
  13. 13.
    Borchard W, Emberger A, Schwarz J (1978) Die Angew Makromol Chem 66:43CrossRefGoogle Scholar
  14. 14.
    Svedberg T, Pedersen KO (1940) Die Ultrazentrifuge. Steinkopff-Verlag, DresdenGoogle Scholar
  15. 15.
    Flory PJ (1953) Principles of Polymer Chemistry. Corrnell Univ Press, Ithaca, NYGoogle Scholar
  16. 16.
    Bloomfield VA (1976) Biopolymers 15:1243CrossRefGoogle Scholar
  17. 17.
    Haase R (1963) Thermodynamik der irreversiblen Prozesse. Steinkopff-Verlag, DresdenGoogle Scholar
  18. 18.
    Callen HB (1962) Thermodynamics. John Wiley & Sons Inc., New York-LondonGoogle Scholar
  19. 19.
    Fujita H (1975) Foundations of Ultracentrifugal Analysis. John Wiley & Sons, New York-LondonGoogle Scholar
  20. 20.
    CÖlfen H (1991) Diplomarbeit, DuisburgGoogle Scholar
  21. 21.
    Cölfen H, Holtus G, Borchard W, this issue II/IIIGoogle Scholar
  22. 22.
    Johnson P (1964) Proc Royal Soc A 278:527CrossRefGoogle Scholar
  23. 23.
    Johnson P, Metcalfe JC (1967) Europ Polym J 3:423CrossRefGoogle Scholar
  24. 24.
    Johnson P, King RW (1968) J Photograph Sci 16:82Google Scholar
  25. 25.
    Johnson P (1971) J Photograph Sci 19:49Google Scholar
  26. 26.
    Johnson P (1970) Photographic Gelatin I, editors Cox RJ Academic Press, London p 13Google Scholar
  27. 27.
    Holtus G (1990) Doktorarbeit, DuisburgGoogle Scholar
  28. 28.
    Holtus G, Borchard W (1989) Colloid Polym Sci 267:1133CrossRefGoogle Scholar
  29. 29.
    Borchard W, Holtus G (1989) Colloid Polym Sci 267:1127CrossRefGoogle Scholar
  30. 30.
    Haase R (1956) Thermodynamik der Mischphasen. Springer-Verlag, Berlin-Göttingen-HeidelbergGoogle Scholar
  31. 31.
    Borchard W (1982) presented at the DECHEMA meeting in FrankfurtGoogle Scholar
  32. 32.
    Unbehend M (1961) Dissertation, AachenGoogle Scholar
  33. 33.
    Rehage G (1963) Kunststoffe 53:605Google Scholar
  34. 34.
    Borchard W (1978) Europ Polym J 14:661CrossRefGoogle Scholar
  35. 35.
    Dusek K, Prins W (1969) Adv Polymer Sci 6:1CrossRefGoogle Scholar

Copyright information

© Dr. Dietrich Steinkopff Verlag GmbH & Co. KG 1991

Authors and Affiliations

  • W. Borchard
    • 1
  1. 1.ANgewandte Physikalische ChemieUniversität-GH-DuisburgDuisburgFRG

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