Computations of spontaneous rise of a rivulet in a corner of a vertical square capillary

Gurumurthy, Vignesh Thammanna; Rettenmaier, Daniel; Roisman, Ilia V.; Tropea, Cameron; Garoff, Stephen

doi:10.1016/j.colsurfa.2018.02.003

Cited by 34 publications

(32 citation statements)

References 35 publications

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“…Concus et al 27 showed that an infinite rivulet rise can only happen if the contact angle of the liquid (θ) added to half of the opening angle of the given corner ( α 2 ) is below 90 • (θ + α 2 < 90 • ). Since the inner corner opening angle in the current study is 90 • , an infinite rivulet rise should only occur for contact angles below 45 • , which was numerically confirmed by Thammanna Gurumurthy et al 28 This behavior could be observed in preliminary experiments when monoethylene glycol was used as a liquid, which, depending on the cleaning method for the samples, exhibited contact angles above 45 • in some experiments. For water in combination with dirty samples an infinite rivulet rise could no longer be observed.…”

Section: Resultssupporting

confidence: 81%

The interaction of inner and outer surface corners during spontaneous wetting

Gerlach

Hartmann

Tropea

2019

Colloids and Surfaces A: Physicochemical and Engineering Aspect

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Real world surfaces can often be modeled as a collection of edges, corners, dents or spikes of varying roundness. These features exhibit individual spontaneous wetting behaviors comprising pinned contact lines, rivulets or cusps. If occurring in proximity to one another, as is often the case in applications, these wetting properties interact, resulting in an overall changed wetting pattern on the surface. Hence, there is considerable interest in understanding when, and to what extent, interactions occur, and how wetting then deviates from the wetting of isolated surface features.The present study addresses these questions by experimentally and theoretically studying the capillary interaction of sharp-edged 90 • (outer) and 270 • (inner) corners in proximity to one another. It is shown that the spontaneous wetting at the convex outer corner is influenced by the concave inner corner even when they are separated by a distance of several times the capillary length, while the wetting of the inner corner takes place unaffected by the outer corner, except when the separating distance is much 1 arXiv:1908.01221v1 [physics.flu-dyn] 3 Aug 2019 smaller than the capillary length. The final contact line shape at the inner corner is measured and theoretically modelled for contact angles up to 90 • .

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Section: Resultssupporting

confidence: 81%

The interaction of inner and outer surface corners during spontaneous wetting

Gerlach

Hartmann

Tropea

2019

Colloids and Surfaces A: Physicochemical and Engineering Aspect

Self Cite

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“…These observations are in agreement with the numerical simulation results presented by Gurumurthy et al (2018). 39 …”

Section: Resultsmentioning

confidence: 99%

“…The impact of this ratio was also observed in stationary solution of the corner rise in the literature, and a similar conclusion was made. 39 , 51 …”

Section: Resultsmentioning

confidence: 99%

Modeling Approach to Determine Static Rivulet Height in Regular Polygonal Capillary Tubes

et al. 2022

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The rise of partially wetting liquids along the corners of noncircular capillary tubes is observed in many practical science and engineering applications such as wastewater treatment using membranes, remediation, oil recovery from petroleum reservoirs, and blood flow. In this paper, rivulet rise at the corners of polygonal capillary tubes is studied for partially wetting liquids with contact angles below the critical value. The presence of corners changes the distribution of a liquid in an incomplete wetting condition. In this study, geometrical models are proposed to better understand the capillary rise and flow behavior at the corners. A geometrical solution for the capillary rivulet height and profile is derived under gravity in triangular, square, and pentagonal capillary tubes. The effects of several factors including contact angle, number of polygon sides, and liquid properties on the capillary rivulet height are examined. It was found that the ratio of liquid surface tension to density directly affects the corner rise, while it has an inverse relationship with other factors. The maximum rivulet height of 91.6 mm is obtained in the triangular capillary tube with a side length of 1 mm and a contact angle of 30° for polydimethylsiloxane (PDMS-20)-air fluid pair. The minimum capillary rivulet height of 6.2 mm, on the other hand, is achieved in the pentagonal capillary tube, with a side length of 3 mm and a contact angle of 30°. To validate the developed analytical approach, comparisons are made between the model results, literature predictions, and experimental data. In addition, the geometrical model for a square capillary tube is compared with previous published studies, revealing a good agreement. This study provides quantitative results for the influence of capillary tube shape on the flow behavior of fluids in noncircular tubes that can be useful for control and optimization of transport phenomena in corresponding systems.

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“…However, angle-containing geometries can serve as a more realistic portrayal of inner structure of those media [10]. A basic element abidingly inherent to all of them is an open wedge-like channel [11][12][13][14][15][16]. Statics and dynamics of wetting of the wedges (corners) pioneered by works of Taylor and Hauksbee [17] have been studied for decades.…”

Section: Introductionmentioning

confidence: 99%

Edge Wetting: Steady State of Rivulets in Wedges

Kubochkin,

Gambaryan-Roisman

2022

Preprint

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The geometry of rough, textured, fractured and porous media is topologically complicated. Those media are commonly represented by bundles of capillary tubes when modeled. However, angle-containing geometries can serve as a more realistic portrayal of their inner structure. A basic element abidingly inherent to all of them is an open wedge-like channel. The classical theory of capillarity ignoring intermolecular interactions implies that liquid entering the wedge must propagate indefinitely along its spine when the liquid-gas interface is concave. The latter is well-known as a Concus-Finn condition. In the present paper, we show that steady-state rivulets violating Concus-Finn condition can be formed in such channels when the surface forces are taken into account. We present a simple model based on the disjoining pressure approach and analyze the shape of the rivulets in the wedges. Besides, we consider a case when the walls of the wedge are soft and can be deformed by the liquid.

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Computations of spontaneous rise of a rivulet in a corner of a vertical square capillary

Cited by 34 publications

References 35 publications

The interaction of inner and outer surface corners during spontaneous wetting

The interaction of inner and outer surface corners during spontaneous wetting

Modeling Approach to Determine Static Rivulet Height in Regular Polygonal Capillary Tubes

Edge Wetting: Steady State of Rivulets in Wedges

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