title: Influence of gravitational forces and fluid flows on the shape of surfaces of a viscous fluid of capillary size.
abstract: The Navier-Stokes equations and boundary conditions for viscous fluids of capillary size are formulated in curvilinear coordinates associated with a geometry of the fluid-gas interface. As a result, the fluid dynamics of drops and menisci, which takes into account the influence of gravitational forces and flows on the surface shape, can be described. This gives a convenient basis for numerical studies. Estimations of the effects are presented for the case of an evaporating sessile drop.
authors.affiliation: Landau Institute for Theoretical Physics, 142432 Chernogolovka, Russia. barash@itp.ac.ru
authors.forename: L Yu
authors.initials: LY
authors.lastname: Barash