2010
DOI: 10.1039/b919942j
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A unified scaling model for flow through a lattice of microfabricated posts

Abstract: A scaling model is presented for low Reynolds number viscous flow within an array of microfabricated posts. Such posts are widely used in several lab-on-a-chip applications such as heat pipes, antibody arrays and biomolecule separation columns. Finite element simulations are used to develop a predictive model for pressure driven viscous flow through posts. The results indicate that the flow rate per unit width scales as approximately h1.17g1.33/d0.5 where h is the post height, d post diameter and g is the spac… Show more

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Cited by 54 publications
(54 citation statements)
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“…Transient wetting behavior of the wick structure was shown to behave in accordance with Washburn dynamics [192], and the NST surface increased the wetting velocity. The vapor chamber was sealed along the edge by local laser welding to avoid heating the entire device to the necessary processing temperatures.…”
Section: Titanium Thermal Ground Plane (Ti-tgp)mentioning
confidence: 79%
“…Transient wetting behavior of the wick structure was shown to behave in accordance with Washburn dynamics [192], and the NST surface increased the wetting velocity. The vapor chamber was sealed along the edge by local laser welding to avoid heating the entire device to the necessary processing temperatures.…”
Section: Titanium Thermal Ground Plane (Ti-tgp)mentioning
confidence: 79%
“…21 Based on the Washburn law, Ishino et al 22 considered viscous dissipation on the substrate and the side walls, and obtained two extreme regimes for short and tall pillars, respectively. Then, Srivastava et al 23 and Xiao and Wang 24 developed Ishino's model and got a more accurate exponent. Taking account of the viscous dissipation in the triple-phase region, dynamic wetting in the early stage of a liquid film with/without bulk droplet and the entire drop footprint on pillar-arrayed surfaces were studied.…”
Section: -3mentioning
confidence: 99%
“…Taking account of both the viscous resistance from the pillars and the substrate, Ishino et al did an elegant scaling analysis based on the Washburn law to obtain two extreme regimes for short and tall posts, respectively (Ishino et al 2007). Then, Srivastava et al (2010) and Xiao, Enright & Wang (2010) developed this model to be more accurate. However, while these studies all averaged the MCL to be a straight line (two-dimensional problem) or a circle (three-dimensional problem), the MCL is actually a complex curve (Courbin et al 2007) and requires a multiscale study.…”
Section: Introductionmentioning
confidence: 99%