1997
DOI: 10.1017/s0022112096004788
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Displacement of fluid droplets from solid surfaces in low-Reynolds-number shear flows

Abstract: The yield conditions for the displacement of fluid droplets from solid boundaries are studied through a series of numerical computations. The study includes gravitational and interfacial forces, but is restricted to two-dimensional droplets and low-Reynoldsnumber flow. A comprehensive study is conducted, covering a wide range of viscosity ratio λ, Bond number B d , capillary number Ca and contact angles θ A and θ R . The yield conditions for drop displacement are calculated and the critical shear rates are pre… Show more

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Cited by 96 publications
(99 citation statements)
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References 32 publications
(60 reference statements)
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“…The velocity of a single particle was evaluated from a PIV (particle image velocity) analysis of two consecutive frames. Unlike the usual bidirectional symmetric circulation observed inside a falling water droplet in air or the Marangoni flow inside a sessile water droplet evaporating on a surface 20,27 , only one direction of circulation is visible in Figure 4b because of the asymmetric shear flow around the sessile droplet 28 . High-speed recordings were made through the observation window using a high-speed camera system (Photron Fastcam PCI1024) with a maximum image resolution of 1,024×1,024 pixels, mounted on a binocular microscope (Olympus SZX10).…”
Section: Methodsmentioning
confidence: 79%
“…The velocity of a single particle was evaluated from a PIV (particle image velocity) analysis of two consecutive frames. Unlike the usual bidirectional symmetric circulation observed inside a falling water droplet in air or the Marangoni flow inside a sessile water droplet evaporating on a surface 20,27 , only one direction of circulation is visible in Figure 4b because of the asymmetric shear flow around the sessile droplet 28 . High-speed recordings were made through the observation window using a high-speed camera system (Photron Fastcam PCI1024) with a maximum image resolution of 1,024×1,024 pixels, mounted on a binocular microscope (Olympus SZX10).…”
Section: Methodsmentioning
confidence: 79%
“…The issue of the shear rate at which the liquid detaches from the channel is related to studies of moving droplets with contact angle hysteresis [22,23].…”
mentioning
confidence: 99%
“…Though no modeling work applicable to water droplet removal at the cathode GDL/GFC interfaces as in PEMFCs has been reported in the literature at the time when this work was carried out, the subject of displacing liquid droplets from solid surfaces is a fundamental problem of fluid mechanics and has attracted considerable interests due to their important applications in chemical process technologies such as coating-flow manufacturing processes and enhanced oil recovery (see, e.g., Dussan V. and Chow 1983, Dussan V. 1985, 1987Dimitrakopoulos and Higdon 1997, 1998, 2001. The first two studies by Dussan V. and co-workers, which consider only small drops with small contact angles and employ analytical techniques (made possible by using lubrication theory and asymptotic analysis) for solving the resultant governing equations, focused on the influence of gravity in dislodging the drops from non-horizontal surfaces.…”
Section: Predicting the Onset Of Water Droplet Instability At The Gasmentioning
confidence: 99%
“…The third study by Dussan V. evaluated the ability of the creeping motion of the surrounding fluid to remove the drops by sweeping them across the solid surface. More recently, Dimitrakopoulos and Higdon (1997, 1998, 2001) employed the spectral finite element method to numerically investigate the displacement or stability of fluid droplets from solid surfaces in shear and viscous pressure driven flows with vanishing Reynolds number (that is, creeping flows in which Stokes equations apply). They determined the optimal droplet shape and contact line position that allows the highest flow rate for which the droplet can adhere to the surface.…”
Section: Predicting the Onset Of Water Droplet Instability At The Gasmentioning
confidence: 99%