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

2010/03/11 by Antonio Pereira, António B. Pereira, Serafim Kalliadasis · 2 citations
Earth and Planetary Sciences · Engineering · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Composite material #Contact angle #Lubrication #Lubrication theory #Materials science #Mechanics #Phase Equilibria and Thermodynamics #Physics #Saturation (graph theory) #Thermodynamics #cond-mat.mes-hall #cond-mat.stat-mech #nanoparticles nucleation surface interactions #physics.flu-dyn

paper · pdf · doi:10.1017/jfm.2011.496

published as J. Fluid Mech. vol. 692, pgs 53-77 (2012) · 35 pages, 20 figures

arxiv created 2010/03/11 · openalex publication_date 2011/12/15 · arxiv updated 2012/02/06 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Abstract 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.

Citations

• Role of Repulsive Forces in Determining the Equilibrium Structure of Simple Liquids
• The nature of the liquid-vapour interface and other topics in the statistical mechanics of non-uniform, classical fluids
• Density functional theory: An introduction
• Perturbation Theory and Equation of State for Fluids. II. A Successful Theory of Liquids

Cited by

• Slip or not slip? A methodical examination of the interface formation model using two-dimensional droplet spreading on a horizontal planar substrate as a prototype system
• Pseudospectral methods for density functional theory in bounded and unbounded domains

Related

• Statistical Mechanics of a Thin Film on a Solid Substrate
• Static Contact Angles of Mixtures: Classical Density Functional Theory and Experimental Investigation
• Revisiting fluid-wall interfacial tension
• A revisit of the density gradient theory and the mean field theory for the vapor-liquid interface system
• Scaling behaviour of thin films on chemically heterogenous walls