2016
DOI: 10.1017/jfm.2016.386
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Dynamics of hemiwicking

Abstract: Hemiwicking refers to the spreading of a liquid on a rough hydrophilic surface driven by capillarity. Here, we construct scaling laws to predict the velocity of hemiwicking on a rough substrate and experimentally corroborate them with various arrangements and dimensions of micropillar arrays. At the macroscopic scale, where the wetting front appears parallel to the free surface of the reservoir, the wicking distance is shown to grow diffusively, i.e. like $t^{1/2}$ with $t$ being time. We show that our model i… Show more

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Cited by 71 publications
(79 citation statements)
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“…For drainage processes with M > 1, roughness has been shown to induce incomplete displacement, a phenomenon featured by the nonwetting phase advancing along the center of the void space, leaving a trailing film of the wetting phase on the wall (Chen, Wu, et al, ). In imbibition, the roughness may lead to wicking of wetting (secondary) film into the substrates with patterned grooves (Kim et al, ; Quéré, ; Rye et al, ). Here from supporting information Movies S1 and S2, we do not observe the wicking of secondary film, which may be attributed to the rough surfaces of the rock fracture with strong heterogeneity.…”
Section: Resultsmentioning
confidence: 99%
“…For drainage processes with M > 1, roughness has been shown to induce incomplete displacement, a phenomenon featured by the nonwetting phase advancing along the center of the void space, leaving a trailing film of the wetting phase on the wall (Chen, Wu, et al, ). In imbibition, the roughness may lead to wicking of wetting (secondary) film into the substrates with patterned grooves (Kim et al, ; Quéré, ; Rye et al, ). Here from supporting information Movies S1 and S2, we do not observe the wicking of secondary film, which may be attributed to the rough surfaces of the rock fracture with strong heterogeneity.…”
Section: Resultsmentioning
confidence: 99%
“…Liquid transport on a superoleophilic track is determined by multiple parameters, the most important being wettability contrast (i.e., difference in wettability between inner and outer regions), surface roughness (affecting hemiwicking), and liquid properties (e.g., γ and µ ). For a fixed material system, transport performance is dependent primarily on the liquid surface tension (driving force).…”
Section: Resultsmentioning
confidence: 99%
“…4(a), promising perspectives are to better understand the role of pillar-scale effects and to capture them into our dropscale model. For instance, of particular interest is the effect of pinning on wicking [31], as well as the influence of the fine details of front dynamics (including the zipping mechanism) on the macroscale front propagation dynamics [13,32,33]. We also hope that our work will stimulate more applied research aiming to improve heat transfer, self-assembly of soft structures, or deposition technologies.…”
Section: -P6mentioning
confidence: 94%
“…This is clearly beyond our scope here, and we shall limit ourselves to estimations based on the lubrication approximation. Assuming h p ≪ d, we can indeed expect K(h) ∼ h 3 p (which ignores viscous friction on the pillars compared to friction on the bottom [7,13]) and…”
mentioning
confidence: 96%
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