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A simple numerical solution to the Ward–Tordai equation for the adsorption of non-ionic surfactants
- Source :
-
Computers & Chemical Engineering . Feb2010, Vol. 34 Issue 2, p146-153. 8p. - Publication Year :
- 2010
-
Abstract
- Abstract: A simple numerical scheme for solving the equation of Ward and Tordai (1946) for the diffusion-controlled adsorption of non-ionic surfactants to interfaces is proposed and pseudo-code, as well as C++ source code, is provided. The scheme utilises the trapezium rule of numerical integration and the accuracy and robustness of the method is enhanced by the bisection method of root-finding. The scheme is efficient and flexible in that it can be used with any adsorption isotherm and is readily modified for solving the problem of adsorption onto a convex interface. This scheme is not suggested for the adsorption onto a concave interface and the confusions that have previously arisen in relation to this problem are discussed. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00981354
- Volume :
- 34
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Computers & Chemical Engineering
- Publication Type :
- Academic Journal
- Accession number :
- 47610672
- Full Text :
- https://doi.org/10.1016/j.compchemeng.2009.08.004