Colloid and Polymer Science

, Volume 273, Issue 4, pp 370–378 | Cite as

Dynamic surface tension of micellar solutions studied by the maximum bubble pressure method

3. Theory of the solutions containing micelles
  • C. D. Dushkin
  • Tz. H. Iliev
  • Y. S. Radkov
Original Contribution


A theoretical model for the dynamic surface tension of an air bubble expanding in micellar surfactant solution is proposed. The model accounts for the effect of expansion of the bubble surface during the adsorption of surfactant molecules (monomers) and the effect of disintegration of polydisperse micelles on the surfactant diffusion. Assuming small deviations from equilibrium and constant rate of expansion analytical expression for the surface tension and the subsurface concentration of monomers as a function of time is derived. The characteristic time of micellization is computed from the experimental data for two surfactants (sodium dodecyl sulfate and nonylphenol polyglycol ether) obtained by the maximum bubble pressure method.

Key words

Dynamic surface tension micellar surfactant solutions maximum bubble pressure method 


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  1. 1.
    Iliev TzH, Dushkin CD (1992) Colloid Polym Sci 270:370Google Scholar
  2. 2.
    Dushkin CD, Iliev TzH, this journal, part 2Google Scholar
  3. 3.
    Janjic T, Hoffmann H (1973) Z Phys Chem NF 86:322Google Scholar
  4. 4.
    Folger R, Hoffmann H, Ulbricht W (1974) Ber Bunenges Phys Chem 78:897Google Scholar
  5. 5.
    Aniansson EAG, Wall SN (1974) J Phys Chem 78:1024; ibid (1975) 79:857Google Scholar
  6. 6.
    Aniansson EAG, Wall SN, Almgren M, Hoffmann H, Kielmann I, Ulbricht W, Zana R, Lang J, Tondre C (1976) J Phys Chem 80:905Google Scholar
  7. 7.
    Dushkin CD, Ivanov IB, Kralchesky PA (1991) Colloids Surfaces 60:235Google Scholar
  8. 8.
    Feinerman VB, Rakita YuM (1990) Kolloidn Zh 52:106 (in Russian)Google Scholar
  9. 9.
    Noskov BA (1990) Kolloidn Zh 52:509; ibid (1990) 52:796 (in Russian)Google Scholar
  10. 10.
    Joos P, Van Hunsel J (1988) Colloids Surfaces 33:99Google Scholar
  11. 11.
    Lucassen J (1976) J Chem Soc Faraday Trans I 72:76Google Scholar
  12. 12.
    Rillaerts E, Joos P (1982) J Phys Chem 86:3471Google Scholar
  13. 13.
    Kamenka N, Lindman B, Brun B (1974) Colloid Polymer Sci 252:144Google Scholar
  14. 14.
    Horozov T, Dushkin C (1993) In: Proceedings of the World Congress on Emulsions, Paris, vol 2, paper 2-32-136Google Scholar

Copyright information

© Steinkopff Verlag 1995

Authors and Affiliations

  • C. D. Dushkin
    • 1
  • Tz. H. Iliev
    • 2
  • Y. S. Radkov
    • 3
  1. 1.Laboratory of Thermodynamics and Physico-chemical Hydrodynamics Faculty of ChemistryUniversity of SofiaSofiaBulgaria
  2. 2.Institute of GeologyBulgarian Academy of SciencesSofiaBulgaria
  3. 3.Central Institute of Chemical IndustrySofiaBulgaria

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