2006
DOI: 10.1002/ceat.200500332
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Capillary Filling Flows inside Patterned‐Surface Microchannels

Abstract: Capillary flows inside microchannels with patterned-surfaces are investigated theoretically and numerically. The surface energy method is used to derive an equivalent contact angle (ECA) model for small capillary number flows. The SIMPLE algorithm using a volume of fluid (VOF) method is adopted to investigate the flows in those microchannels. The flow characteristics such as the liquid front shapes and the evolution of the liquid lengths are obtained. The numerical results reveal that capillary flows in a patt… Show more

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Cited by 49 publications
(41 citation statements)
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“…In contrast, a study of a model for decane molecules in a carbon nanotube [14,15] yielded a simple linear behavior H(t) ∝ t over a wide range of times, leading to the conclusion that filling of nanotubes by fluids does not obey the Lucas-Washburn equation. Experiments so far are inconclusive on this issue, since the existing work [16,17] deals only with pores that are at least 1 µm wide. Moreover, in narrow nanotubes an eventual slip at the hydrodynamic boundaries might afTypeset by REVT E X fect the balance of forces by reducing the viscous drag at the tube wall.…”
mentioning
confidence: 99%
“…In contrast, a study of a model for decane molecules in a carbon nanotube [14,15] yielded a simple linear behavior H(t) ∝ t over a wide range of times, leading to the conclusion that filling of nanotubes by fluids does not obey the Lucas-Washburn equation. Experiments so far are inconclusive on this issue, since the existing work [16,17] deals only with pores that are at least 1 µm wide. Moreover, in narrow nanotubes an eventual slip at the hydrodynamic boundaries might afTypeset by REVT E X fect the balance of forces by reducing the viscous drag at the tube wall.…”
mentioning
confidence: 99%
“…We ignore the effect of the third dimension, which plays a role in the shape of interface. As we show in the Appendix, the contact angle observed from the microscope images is dependent on the position inside the triangular pattern, probably because of the curvature effects in the third dimension [31,32]. However, such effects have been currently ignored in the model since we assume θ to be independent of the third dimension.…”
Section: Resultsmentioning
confidence: 99%
“…We observe that θ flat is relatively constant across different patterns. In contrast, the contact angle within the triangular pattern walls θ left and θ right is larger than θ flat due to the effect of third dimension [20,31,32]. Moreover, θ left and θ right are observed to be dependent on the pattern geometry, and thus we chose θ = θ flat .…”
Section: Experimental Measurement Of Contact Anglesmentioning
confidence: 99%
“…The input power of the pump in the active ones is sometimes much larger than that of their output power. On the other hand, the delivered fuel in the passive system works through the capillary effect [17]; the fuel concentration gradient diffuses into the anode component [18]; the cohesion and adhesion pressure causes the liquid fuel to work against the gravity [19]. In our previous research, Y.F.…”
Section: Introductionmentioning
confidence: 94%