Influence of gravitational forces and fluid flows on a shape of surfaces of a viscous fluid of capillary size
arXiv:0812.1863 · doi:10.1103/PhysRevE.79.025302
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 can be described taking into account an influence of gravitational forces and flows on the surface shape. This gives a convenient basis for respective numerical studies. Estimations of the effects are presented for the case of an evaporating sessile drop.
arXiv comment5 pages