A simple numerical solution to the Ward-Tordai equation for the adsorption of non-ionic surfactants

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
Reviewed

		Thumbnail	File	Description	Size	Format