Influence of gravitational forces and fluid flows on the shape of surfaces of a viscous fluid of capillary size

L.Yu. Barash

Phys. Rev. E 79, 025302(R) (2009)

arXiv:0812.1863

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.

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