Adsorption from micellar surfactant solutions: Nonlinear theory and experiment

K. D. Danov, P. M. Vlahovska, T. Horozov, C. D. Dushkin, P. A. Kralchevsky*, A. Mehreteab, Guy Broze

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

37 Scopus citations


A theoretical approach to the kinetics of adsorption on the expanding interface of a micellar surfactant solution is proposed. The nonlinear partial differential equations of mass transfer of the micelles and monomers are reduced to ordinary differential equations, which are solved numerically along with the nonlinearized adsorption isotherm as a boundary condition. Being more general, this theoretical approach is consistent also with the special case of small deviations from equilibrium widely used in the kinetics of micellization. The theory is applied further to fit the experimental data for dynamic surface tension of micellar solutions of sodium dodecyl sulfate and sodium polyoxyethylene-2 sulfate measured by the maximum bubble pressure (MBP) method. The expansion of the bubble surface is accounted for by using the experimental dependence of the bubble size on time. The calculated effective rate constant of micelle decay for sodium dodecyl sulfate turns out to be sensitive to the mechanism of the micelle's disintegration. This provides a possibility for one to determine the rate constants of the fast and slow processes in the relaxation kinetics of micellization by using a relatively simple experimental technique for dynamic surface tension measurement like the MBP method.

Original languageEnglish (US)
Pages (from-to)223-235
Number of pages13
JournalJournal of Colloid And Interface Science
Issue number1
StatePublished - Oct 15 1996


  • adsorption kinetics
  • dynamic surface tension
  • maximum bubble pressure method
  • micellar solution
  • sodium dodecyl sulfate

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Biomaterials
  • Surfaces, Coatings and Films
  • Colloid and Surface Chemistry


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