Pressure and relative motion in colloidal suspensions

We examine the nature of relative motion in colloidal suspensions. By distinguishing carefully between the thermodynamic pressure of a mixture, defined by Gibbs, and the pressure measured by Darcy in porous media, we resolve apparent contradictions between the results and interpretations of differen...

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Bibliographic Details
Published in:Physics of fluids (1994) 2005-05, Vol.17 (5), p.053301-053301-10
Main Authors: Peppin, S. S. L., Elliott, J. A. W., Worster, M. G.
Format: Article
Language:English
Subjects:
Chemistry
Colloidal gels. Colloidal sols
Colloidal state and disperse state
Exact sciences and technology
General and physical chemistry
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Summary:We examine the nature of relative motion in colloidal suspensions. By distinguishing carefully between the thermodynamic pressure of a mixture, defined by Gibbs, and the pressure measured by Darcy in porous media, we resolve apparent contradictions between the results and interpretations of different experiments. We show that Fick’s and Darcy’s laws, two empirical equations thought to describe different and complementary physical phenomena, are in fact particular limits of a single, unifying thermodynamic equation which can be used more generally to describe transport in colloidal systems. Importantly, this equation relates macroscopically measurable quantities. We use it to provide new interpretations of experiments in ultrafiltration.
ISSN:1070-6631
1089-7666
DOI:10.1063/1.1915027