By Jean-Louis Salager
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Additional info for A. Wilhelm Neumann, Robert David, and Yi Zuo (eds): Applied Surface Thermodynamics, 2nd Edition
64 is equivalent to two orthogonal scalar relations. One of these relations may be shown to be equivalent to the Young equation of capillarity (cf. derivation in Chapter 2 for axisymmetric capillary systems), while the second relation represents the mechanical equilibrium condition in a direc tion that is orthogonal to the first relation. 2. 64 as two scalar relations; one resulting from projecting the vectors into the horizontal plane and another from a corresponding projection into the vertical plane .
The earliest attempts at solving this problem of determining the mechanical equilibrium conditions that would render the integrals stationary usually considered a capillary system as a composite system of at most three bulk phases with three surface phases and one contact line of mutual intersection. Any mobile interface that existed between adjacent deformable bulk phases was considered to possess an energy that was proportional to the surface area of the interface. In virtually all cases, this proportionality factor was treated as a constant or uniform tension on the surface.
Furthermore, in retaining the second curvature term, we have ignored the question of whether this term is or is not negligible for all practical purposes [85,86]. It is at this point that the hydrostatic approach to capillarity makes its contribution . Buff and Saltsburg [37-42] have shown that this nonthermodynamic approach to capillarity, based on the introduction of an interfacial stress tensor field, is capable of an independent confirmation of some of the results of the generalized thermodynamic theory.
A. Wilhelm Neumann, Robert David, and Yi Zuo (eds): Applied Surface Thermodynamics, 2nd Edition by Jean-Louis Salager