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Late stage kinetics for various wicking and spreading problems | | Patrick B. Warren
; | | Date: |
10 Nov 2003 | | Subject: | Statistical Mechanics; Soft Condensed Matter | cond-mat.stat-mech cond-mat.soft | | Abstract: | The kinetics of spreading of a liquid drop in a wedge or V-shaped groove, in a network of such grooves, and on a hydrophilic strip, is re-examined. The length of a droplet of volume Omega spreading in a wedge after a time t is predicted to scale as Omega^(1/5) * t^(2/5), and the height profile is predicted to be a parabola in the distance along the wedge. If the droplet is spreading radially in a sparse network of V-shaped grooves on a surface, the radius is predicted to scale as Omega^(1/6) * t^(1/3), provided the liquid is completely contained within the grooves. A number of other results are also obtained. | | Source: | arXiv, cond-mat/0311216 | | Other source: | [GID 109076] pmid15169023 | | Services: | Forum | Review | PDF | Favorites | |
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