In this paper we study the morphology of drops formed on partially wetting substrates, whose footprint is not circular. These drops are consequence of the breakup processes occurring in thin films when anisotropic contact line motions take place. The anisotropy is basically due to the hysteresis of the contact angle since there is a wetting process in some parts of the contact line, while a dewetting occurs in other parts. Here, we obtain a characteristic drop shape from the rupture of a long liquid filament sitting on a solid substrate. We analyze its shape and contact angles by means of goniometric and refractive techniques. We also find a non-trivial steady state solution for the drop shape within the long wave approximation (lubrication theory), and we compare most of its features with experimental data. This solution is presented both in Cartesian and polar coordinates, whose constants must be determined by a certain group of measured parameters. Besides, we obtain the dynamics of the drop generation from numerical simulations of the full Navier–Stokes equation, where we emulate the hysteretic effects with an appropriate spatial distribution of the static contact angle over the substrate.
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April 2016
Research Article|
April 04 2016
Drops with non-circular footprints
Pablo D. Ravazzoli
;
Pablo D. Ravazzoli
Instituto de Física Arroyo Seco (CIFICEN-CONICET-CICPBA),
Universidad Nacional del Centro de la Provincia de Buenos Aires
, Pinto 399, 7000 Tandil, Argentina
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Alejandro G. González;
Alejandro G. González
Instituto de Física Arroyo Seco (CIFICEN-CONICET-CICPBA),
Universidad Nacional del Centro de la Provincia de Buenos Aires
, Pinto 399, 7000 Tandil, Argentina
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Javier A. Diez
Javier A. Diez
Instituto de Física Arroyo Seco (CIFICEN-CONICET-CICPBA),
Universidad Nacional del Centro de la Provincia de Buenos Aires
, Pinto 399, 7000 Tandil, Argentina
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Physics of Fluids 28, 042104 (2016)
Article history
Received:
December 15 2015
Accepted:
March 15 2016
Citation
Pablo D. Ravazzoli, Alejandro G. González, Javier A. Diez; Drops with non-circular footprints. Physics of Fluids 1 April 2016; 28 (4): 042104. https://doi.org/10.1063/1.4944851
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