Thermodynamic fundamental equation of contact lines: selection of independent variables

In this work we review the development of the generalized theory of capillarity. When considering the theory of contact lines, we find that the theory developed by Boruvka and Neumann (BN) requires significant modifications. Their choice of parameters (independent variables) for a line is insufficie...

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Bibliographic Details
Published in:Journal of colloid and interface science 2003-05, Vol.261 (2), p.464-475
Main Authors: Xia, F., Gray, W.G., Chen, P.
Format: Article
Language:English
Subjects:
Chemistry
Colloidal state and disperse state
Contact line
Differential geometry
Dividing line
Exact sciences and technology
General and physical chemistry
Independent variables
Invariants
Physical and chemical studies. Granulometry. Electrokinetic phenomena
Thermodynamic fundamental equation
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Summary:In this work we review the development of the generalized theory of capillarity. When considering the theory of contact lines, we find that the theory developed by Boruvka and Neumann (BN) requires significant modifications. Their choice of parameters (independent variables) for a line is insufficient for formulating the fundamental equation. Furthermore, there are differential geometric constraints on these geometric parameters but not included in their analysis. As a result, their independent variables are in fact dependent. To describe the geometry of contact lines properly, we present a new set of parameters from the differential geometry viewpoint and subsequently give the fundamental equation for the thermodynamic system of contact lines.
ISSN:0021-9797
1095-7103
DOI:10.1016/S0021-9797(03)00094-8