Comments on modelling the diffusion-controlled adsorption of surfactants
β Scribed by John R. Campanelli; Xiaohong Wang
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 700 KB
- Volume
- 76
- Category
- Article
- ISSN
- 0008-4034
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
In this study, dynamic interfacial tension data are obtained with a drop volume tensiometer at the mineral oilβwater interface for Triton Xβ100 dissolved in the water phase, and for Span 80 dissolved in the oil phase. Surfactant adsorption is modelled under diffusionβcontrolled conditions using either long or short diffusion time approximations. A dimensionless parameter relating adsorption time, t~a~, to a characteristic diffusion time of each surfactant, t~D~, is introduced in order to determine the general applicability of the diffusion approximations. In the case of Triton Xβ100, the long time approximation is valid, and the ratio of t~a~/Ο~D~ is found to be much greater than one. In the case of Span 80, the short time approximation provides a good fit to the experimental data, and the ratio t~a~/Ο~D~ is found to be on the order of unity or less. A consideration of experimental data found in the literature for other surfactants leads to the general conclusion that the ratio t~a~/Ο~D~ is useful in characterising diffusionβcontrolled adsorption of surfactants.
π SIMILAR VOLUMES
A quantitative theory of the dynamic surface tension with a constant diffusion coefficient is developed for diffusion-controlled and diffusion-convective-controlled adsorption. The effect of the convective transfer is estimated in an analytical form for the short-time and large-time approximations.
A quantitative theory of the dynamic surface tension for 2 multicomponent mixture of surlactants obeying the Langmuir adsorption isotherms with constant diffusion coefficients in the bulk and in the adsorbed layer is developed for diffusion-controlled and diffusion-convective-controlled adsorption m
equilibrium with the ion concentrations at the outer boundary A quantitative theory for dynamic surface tension has been deof the double layer. This model is discussed in Appendix A. veloped for the diffusion-controlled and diffusion-convective-con-Borwanker and Wasan (31) use the isotherm of Davies