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
Dynamic Surface Tension of Aqueous Surfactant Solutions: 1. Diffusion-Convective Controlled Adsorption
โ Scribed by Leonid K. Filippov
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 452 KB
- Volume
- 163
- Category
- Article
- ISSN
- 0021-9797
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โฆ Synopsis
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. It is concluded that the dynamic surface tension can be described by the diffusion-convective controlled model. It is shown that the equation of (F(\gamma(t))=\log \left[\left(\gamma_{0}-\gamma(t)\right) /\left(\gamma(t)-\gamma_{\mathrm{e}}\right)\right]=n \log \left(t / t^{}\right)) is valid over a wide range of time. The phenomenological approach of Rosen and co-workers is shown to be asymptotical correlation (n) equals one-half. The simple formula is derived to calculate the parameters (n, t^{}, D) (diffusion coefficient), and the dynamic surface tension over a wide range of time for adsorption isotherms of different types (linear, Langmuir, and Freundlich). (1994 Academic Press, Inc.
๐ SIMILAR VOLUMES
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