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

3. Theory of the solutions containing micelles

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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.

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  1. 1.

    Iliev TzH, Dushkin CD (1992) Colloid Polym Sci 270:370

  2. 2.

    Dushkin CD, Iliev TzH, this journal, part 2

  3. 3.

    Janjic T, Hoffmann H (1973) Z Phys Chem NF 86:322

  4. 4.

    Folger R, Hoffmann H, Ulbricht W (1974) Ber Bunenges Phys Chem 78:897

  5. 5.

    Aniansson EAG, Wall SN (1974) J Phys Chem 78:1024; ibid (1975) 79:857

  6. 6.

    Aniansson EAG, Wall SN, Almgren M, Hoffmann H, Kielmann I, Ulbricht W, Zana R, Lang J, Tondre C (1976) J Phys Chem 80:905

  7. 7.

    Dushkin CD, Ivanov IB, Kralchesky PA (1991) Colloids Surfaces 60:235

  8. 8.

    Feinerman VB, Rakita YuM (1990) Kolloidn Zh 52:106 (in Russian)

  9. 9.

    Noskov BA (1990) Kolloidn Zh 52:509; ibid (1990) 52:796 (in Russian)

  10. 10.

    Joos P, Van Hunsel J (1988) Colloids Surfaces 33:99

  11. 11.

    Lucassen J (1976) J Chem Soc Faraday Trans I 72:76

  12. 12.

    Rillaerts E, Joos P (1982) J Phys Chem 86:3471

  13. 13.

    Kamenka N, Lindman B, Brun B (1974) Colloid Polymer Sci 252:144

  14. 14.

    Horozov T, Dushkin C (1993) In: Proceedings of the World Congress on Emulsions, Paris, vol 2, paper 2-32-136

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Correspondence to C. D. Dushkin.

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Dushkin, C.D., Iliev, T.H. & Radkov, Y.S. Dynamic surface tension of micellar solutions studied by the maximum bubble pressure method. Colloid Polym Sci 273, 370–378 (1995). https://doi.org/10.1007/BF00652352

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Key words

  • Dynamic surface tension
  • micellar surfactant solutions
  • maximum bubble pressure method