2008/07/03 by Henri Gouin, Sergey Gavrilyuk · 1 citation
Chemical Engineering · Chemistry · Engineering · Materials Science · Physics and Astronomy · #Chemistry #Classical mechanics #Disjoining pressure #Energy functional #Fluid Dynamics and Thin Films #Geometry #Isothermal process #Layer (electronics) #Lubrication #Lubrication theory #Material Dynamics and Properties #Materials science #Mechanics #Molecule #Nanotechnology #Newtonian fluid #Physics #Plane (geometry) #Pressure gradient #Rheology and Fluid Dynamics Studies #Surface energy #Thermodynamics #Thin film #Viscosity #cond-mat.soft #physics.chem-ph #physics.class-ph #van der Waals force
paper · pdf · doi:10.1016/j.ijengsci.2008.05.002
13 pages. International Journal of Engineering Science / International Journal of Engineering Sciences 46 (2008) to appear
openalex publication_date 2008/07/03 · arxiv created 2008/09/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The van der Waals forces across a very thin liquid layer (nanofilm) in contact with a plane solid wall make the liquid nonhomogeneous. The dynamics of such flat liquid nanofilms is studied in isothermal case. The Navier-Stokes equations are unable to describe fluid motions in very thin films. The notion of surface free energy of a sharp interface separating gas and liquid layer is disqualified. The concept of disjoining pressure replaces the model of surface energy. In the nanofilm a supplementary free energy must be considered as a functional of the density. The equation of fluid motions along the nanofilm is obtained through the Hamilton variational principle by adding, to the conservative forces, the forces of viscosity in lubrication approximation. The evolution equation of the film thickness is deduced and takes into account the variation of the disjoining pressure along the layer.