On the Behavior of a Capillary Surface in a Wedge

Concus, Paul; Finn, Robert

doi:10.1073/pnas.63.2.292

Cited by 403 publications

(331 citation statements)

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“…The MCL was initially ( t = 0.47 s, figure 3b) linear on the substrate at a velocity U ∼ 0.01 mm s −1 (dashed blue line, figure 4b). Once the MCL reached the pillars ( t = 0.52 s, figure 3b), the excess driving force forced the MCL to accelerate, making the liquid propagate much faster at the interior corner between the pillar and the substrate, known as the Concus-Finn effect (Concus & Finn 1969). In an interior corner with opening angle 2α, the equilibrium velocity could be calculated as U = fU CA = f γ LV /µ (Weislogel & Lichter 1998), where f = sin α(cos θ 0 − sin α)/S is the topological coefficient for capillary flow at the interior corner.…”

Section: Multiscale Experimentsmentioning

confidence: 99%

Multiscale dynamic wetting of a droplet on a lyophilic pillar-arrayed surface

2013

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Dynamic wetting of a droplet on lyophilic pillars was explored using a multiscale combination method of experiments and molecular dynamics simulations. The excess lyophilic area not only provided excess driving force, but also pinned the liquid around the pillars, which kept the moving contact line in a dynamic balance state every period of the pillars. The flow pattern and the flow field of the droplet on the pillar-arrayed surface, influenced by the concerted effect of the liquid-solid interactions and the surface roughness, were revealed from the continuum to the atomic level. Then, the scaling analysis was carried out employing molecular kinetic theory. Controlled by the droplet size, the density of roughness and the pillar height, two extreme regimes were distinguished, i.e. R ∼ t 1/3 for the rough surface and R ∼ t 1/7 for the smooth surface. The scaling laws were validated by both the experiments and the simulations. Our results may help in understanding the dynamic wetting of a droplet on a pillar-arrayed lyophilic substrate and assisting the future design of pillar-arrayed lyophilic surfaces in practical applications.

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Section: Multiscale Experimentsmentioning

confidence: 99%

Multiscale dynamic wetting of a droplet on a lyophilic pillar-arrayed surface

2013

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“…For water filling in a specific single microcavity, an enhanced capillary rise, a gradient Taylor rise, [53,54] induced by the gradient wedge corner of the microcavity, contributes to the fast liquid flow. [55][56][57][58] The water firstly quickly spreads along the wedge, then pushes out the air, and finally converges at the front of the microcavity. The overall continuous unidirectional water transport is illustrated in Figure 1d.…”

Section: Introductionmentioning

confidence: 99%

Surfaces Inspired by the Nepenthes Peristome for Unidirectional Liquid Transport

et al. 2017

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The slippery peristome of the pitcher plant Nepenthes has attracted much attention due to its unique function for preying on insects. Recent findings on the peristome surface of Nepenthes alata demonstrate a fast and continuous unidirectional liquid transport, which is enabled by the combination of a pinning effect at the sharp edges and a capillary rise in the wedge, deriving from the multiscale structure, which provides inspiration for designing and fabricating functional surfaces for unidirectional liquid transport. Developments in the fabrication methods of peristome‐inspired surfaces and control methods for liquid transport are summarized. Both potential applications in the fields of microfluidic devices, biomedicine, and mechanical engineering and directions for further research in the future are discussed.

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“…Fluid behavior in low gravity is strongly influenced by container geometry [4] and even small changes may have drastic effects. This was unexpectedly demonstrated in a recent experiment where a small container asymmetry caused fluid to unexpectedly shift entirely to one side of a container [5].…”

Section: Motivationmentioning

confidence: 99%

Quasi Steady Capillary Corner Flow

Baker

2000

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It is possible to drain slender containers filled with wetting liquids via capillary flows along the interior corners of the container. Usually the well established equations governing such flows demand numerical techniques. In the case of container draining unique boundary conditions resulting from local section geometry allow for a quasi-steady assumption and in turn permit analytical solutions. The quasi-steady assumption may also be employed for certain problems in which the corner flows cause passive capillary migration of the fluid within the container. The analytic solutions are useful because of the ease in which geometric effects may be observed. Container draining and capillary migration by means of corner flows are studied in a variety of container geometries. It is shown that careful selection of cross sectional shape can be used to maximize drain rates and minimize capillary migration times.

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On the Behavior of a Capillary Surface in a Wedge

Cited by 403 publications

References 0 publications

Multiscale dynamic wetting of a droplet on a lyophilic pillar-arrayed surface

Multiscale dynamic wetting of a droplet on a lyophilic pillar-arrayed surface

Surfaces Inspired by the Nepenthes Peristome for Unidirectional Liquid Transport

Quasi Steady Capillary Corner Flow

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