- Title
- A simple numerical solution to the Ward-Tordai equation for the adsorption of non-ionic surfactants
- Creator
- Li, Xueliang; Shaw, Ryan; Evans, Geoffrey M.; Stevenson, Paul
- Relation
- Computers and Chemical Engineering Vol. 34, Issue 2, p. 146-153
- Publisher Link
- http://dx.doi.org/10.1016/j.compchemeng.2009.08.004
- Publisher
- Elsevier
- Resource Type
- journal article
- Date
- 2010
- Description
- 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.
- Subject
- diffusion-controlled adsorption; non-ionic surfactants; dynamic surface tension
- Identifier
- http://hdl.handle.net/1959.13/927895
- Identifier
- uon:10282
- Identifier
- ISSN:0098-1354
- Language
- eng
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