Abstract
The dilatational dynamic properties of surfactant solutions are determined. In part 1 the boundary conditions at the free surface, corresponding to small perturbations, are formulated for the equations of motion of a viscous incompressible fluid. The exchange of surfactant between the surface layer and the volume phase and the kinetics of micelle formation in the volume phase are taken into account. In part 2 a solution of the boundary-value problem is proposed. The spectral density of the fluctuations of the interphase boundary displacement is found on the basis of the known static correlation function. Finally, part 3 gives expressions for the complex dynamic surface elasticity corresponding to the first and second stages of the process of micelle formation. The discussion is mainly confined to the particular case of a liquid-gas interphase boundary. Limiting relations for high and low frequencies are presented.
Similar content being viewed by others
Literature cited
V. V. Krotov, “Surfactant adsorption kinetics and surface layer rheology,” in: Problems of the Thermodynamics of Heterogeneous Systems and the Theory of Surface Phenomena, No. 5 [in Russian], Izd. Leningrad State University, Leningrad (1979), p. 146.
A. A. Abramson and E. D. Shchukin (eds.), Surface Phenomena and Surface-Active Agents [in Russian], Khimiya, Leningrad (1984).
J. Lucassen, “Adsorption kinetics in micellar systems,” Faraday Discuss. Chem. Soc, No. 59, 76 (1975).
B. A. Noskov, “Dynamic surface elasticity of surfactant solutions,” Kolloidn. Zh.44, 492 (1982).
B. A. Noskov, “Dynamic surface elasticity of surfactant solutions and capillary wave stability,” Kolloidn. Zh.,45, 689 (1983).
B. A. Noskov and N. N. Kochurova, Problems of the Thermodynamics of Heterogeneous Systems and the Theory of Surface Phenomena, No. 7 [in Russian], Izd. Leningrad State University, Leningrad (1985), p. 178.
P. M. Christensen, Theory of Viscoelasticity: An Introduction, Academic Press. New York (1971).
G. E. Anniansson, Aggregat. Processes Solut., Amsterdam (1983), p. 70.
M. Kahlweit, Proc. Internat. School Phys. “Enrico Fermi”, Course (eds. V. Degiorgio and M. Corti), Amsterdam (1985), p. 212.
J. G. H. Joosten, “Special analysis of light scattered by liquid films,” J. Chem. Phys.,80, 2363 (1984).
M. A. Bouchiat and J. Meunier, “Spectre des fluctuations thermiques de la surface libre d'un liquid simple,” J. Phys.,39, 561 (1971).
V. B. Fainerman, “Micelle dissociation kinetics,” Kolloidn. Zh.,43, 926 (1981).
Author information
Authors and Affiliations
Additional information
Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 2, pp. 105–114, March–April, 1989.
Rights and permissions
About this article
Cite this article
Noskov, B.A. Dynamic surface properties of solutions of colloidal surfactants. Fluid Dyn 24, 251–260 (1989). https://doi.org/10.1007/BF01075156
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01075156