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

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 gravitat...

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Bibliographic Details
Published in:arXiv.org 2008-12
Main Author: L Yu Barash
Format: Article
Language:English
Subjects:
Boundary conditions
Computational fluid dynamics
Fluids
Gravitation
Menisci
Viscosity
Viscous fluids
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.0812.1863