Equilibrium gas-liquid-solid contact angle from density-functional theory

Details Equilibrium gas-liquid-solid contact angle from density-functional theory Equilibrium gas-liquid-solid contact angle from density-functional theory

2010-03-11

arxiv.org/abs/1003.2302v1

J. Fluid Mech. vol. 692, pgs 53-77 (2012)

Physics

Fluid Dynamics

35 pages, 20 figures

Scientific paper

10.1017/jfm.2011.496

We investigate the equilibrium of a fluid in contact with a solid boundary through a density-functional theory. Depending on the conditions, the fluid can be in one phase, gas or liquid, or two phases, while the wall induces an external field acting on the fluid particles. We first examine the case of a liquid film in contact with the wall. We construct bifurcation diagrams for the film thickness as a function of the chemical potential. At a specific value of the chemical potential, two equally stable films, a thin one and a thick one, can coexist. As saturation is approached, the thickness of the thick film tends to infinity. This allows the construction of a liquid-gas interface that forms a well defined contact angle with the wall.

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