Skip to main content
Article thumbnail
Location of Repository

The effects of ionic surfactants on expanding free surfaces

By A. J. P. White


This study is based upon the `overflowing cylinder' experiment and develops an ionic theory for the advection-diffusion dynamics of surfactant in this experiment. It is hoped that a consideration of these ionic effects can account for discrepancies between theoretical and experimental results for the overflowing cylinder. We begin by describing in detail the general fluid and surfactant dynamics and produce a model for this ionic system. We apply the model to a range of different problems to gain an understanding of the ionic effects. Finally, we address the original nonionic model presented for the analysis of the overflowing cylinder experiment and decipher a parameter missing from some papers which study this experiment

Topics: Partial differential equations, Fluid mechanics, Numerical analysis
Year: 2001
OAI identifier:

Suggested articles


  1. (1995). Adsorption dynamics of surfactants at the air/water interface: a critical review of mathematical models, data, and mechanisms. Colloids and Surfaces,
  2. (1997). Adsorption kinetics of ionic surfactants with detailed account for the electrostatic interactions. doi
  3. (1999). Applied partial differential equations. doi
  4. (2000). Dynamic surface potential and adsorption kinetics of nonionic surfactants at the air-water interface.
  5. (1995). Dynamic surface tension and dynamic surface potentials of aqueous solutions of a cationic surface active electrolyte. Colloids andf Surfaces,
  6. (2000). Effect of the counterions on the surface properties of surfactant solutions: kinetics of the surface tension and surface potential. Colloids and Surfaces, doi
  7. (1994). Electricity and magnetism.
  8. (1990). Elementary fluid dynamics.
  9. (1999). Influence of ionic strength on surface tension of cetyltrimethylammonium bromide.
  10. (1994). Inorganic chemistry. doi
  11. (1995). Introduction to complex analysis. doi
  12. (1998). Invasive and non-invasive measurements of dynamic surface tensions.
  13. (2001). Mathematical modelling of the overflowing cylinder experiment.
  14. (1997). Measurement of dynamic interfacial properties in an overflowing cylinder by ellipsometry.
  15. (1998). Measurements of the dynamic surface excess in an overflowing cylinder by neutron reflection.
  16. (1982). Physical chemistry of surfaces.
  17. (2000). Prediction of equilibrium surface tension and surface adsorption of aqueous surfactant mixtures containing zwitterionic surfactants.
  18. (2000). Rates of mass transfer and adsorption of hexadecyltrimethylammonium bromide at an expanding air-water interface.
  19. (1999). The dynamic adsorption of charged amphiphiles: the evolution of surface concentration, surface potential, and surface tension.
  20. (2001). The effect of surfactants on expanding free surfaces.
  21. (1992). The Elements of Physical Chemistry.
  22. (1995). Viscous Flow. Cambridge: doi

To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.