2012
DOI: 10.1017/jfm.2012.218
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Wicking of a liquid bridge connected to a moving porous surface

Abstract: We study the coupled problem of a liquid bridge connected to a porous surface and an impermeable surface, where the gap between the surfaces is an externally controlled function of time. The relative motion between the surfaces influences the pressure distribution and geometry of the liquid bridge, thus affecting the shape of liquid penetration into the porous material. Utilizing the lubrication approximation and Darcy's phenomenological law, we obtain an implicit integral relation between the relative motion … Show more

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Cited by 10 publications
(4 citation statements)
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“…μ is the viscosity and σ is the surface tension. The momentum equation in radial direction can be used to conclude this . This is negligible compared to the magnitude of time required for liquid to penetrate the porous medium, that is, Otrue(ro2μ/σktrue) with K being the permeability.…”
Section: Modelmentioning
confidence: 99%
“…μ is the viscosity and σ is the surface tension. The momentum equation in radial direction can be used to conclude this . This is negligible compared to the magnitude of time required for liquid to penetrate the porous medium, that is, Otrue(ro2μ/σktrue) with K being the permeability.…”
Section: Modelmentioning
confidence: 99%
“…Droplet transfer is typically achieved by lowering the upper substrate onto the top of the droplet to form a bridge and subsequently raising the upper substrate. In some cases, the upper substrate is slowly raised to stretch the bridge quasi-statically (Chen, Amirfazli & Tang 2013), whereas in other cases the liquid bridge is stretched with an appreciable inertial force (Gat, Navaz & Gharib 2012; Chen, Tang & Amirfazli 2015). If the wettabilities of the substrates are the same, droplet transfer is limited to approximately 50 % of the droplet's volume (Chen, Tang & Amirfazli 2014).…”
Section: Introductionmentioning
confidence: 99%
“…The dredged silt is taken as waste until it can be transported without being easily leaked/spilled out of containers, and utilized as a valuable material without pollution [2]. It is difficult for pore liquid of silt to migrate outward [3][4][5], and the natural settling process without the aid of artificial treatment may last for years. This is because the initial water content of dredged silt is exceptionally high, yet the permeability of the dredged silt is very poor.…”
Section: Introductionmentioning
confidence: 99%