INVESTIGADORES
GOMBA Juan Manuel
congresos y reuniones científicas
Título:
Two dimensional droplets under partially wetting conditions: New analytical solutions
Autor/es:
GOMBA, J. M.; HOMSY, G. M.
Lugar:
Minneapolis, Minnesota, USA
Reunión:
Conferencia; 62nd Annual Meeting of the APS Division of Fluid Dynamics; 2009
Institución organizadora:
American Physical Society - Division of Fluid Dynamics
Resumen:
We present new analytical solutions that
describe the static
shape of a two-dimensional droplet in equilibrium with a
surrounding thin film on a solid substrate. We model a
partially-wetting liquid by a disjoining-conjoining pressure
description of intermolecular forces between the liquid and
solid substrate. The profile involves three regions: (i) a
droplet core, (ii) a thin film region and (iii) an intermediate
contact line region. The description of the droplet shape in
these regions is usually carried out by series expansions or
numerical solutions. In contrast, here we derive new fully-
analytical solutions for the shape of the droplet, the cross
sectional area, the half width and the maximum curvature. We
also study the effects of the size of the droplet on the
apparent contact angle. We find that for nanodroplets the
contact angle follows a power law dependence with the cross
sectional area, reaching a well defined value for larger
droplets.