Physics – Classical Physics
Scientific paper
2008-03-03
Physica A 268, 3-4 (1999) 291-308
Physics
Classical Physics
20 pages and 4 figures
Scientific paper
10.1016/S0378-4371(99)00069-2
In this paper we propose an extension of the Cahn method to binary mixtures and study the problem of wetting near a two-phase critical point without any assumption on the form of intermolecular potentials. A comparison between Cahn's method and later works by Sullivan, Evans et al is made. By using an expression of the energy of interaction between solid surface and liquids proposed recently by Gouin, we obtain the equations of density profiles and the boundary conditions on a solid surface. In the case of a convex free energy, a one-dimensional solution of a linear problem is proposed for the density profiles between a bulk and on a solid wall. A non-linear model of binary mixtures extending Cahn's results for simple fluids is also studied. For the case of a purely attractive wall we have established a criterion of a first order transition in terms of the structure of the level set of the homogeneous part of the free energy. Additively, explicit expressions of density profiles near the wall are proposed. They allow one to consider the adsorption of mixture components by a solid wall.
Gavrilyuk Sergey
Gouin Henri
No associations
LandOfFree
Wetting problem for multi-component fluid mixtures does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Wetting problem for multi-component fluid mixtures, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Wetting problem for multi-component fluid mixtures will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-225698