# Late stage kinetics for various wicking and spreading problems

Source: [Late stage kinetics for various wicking and spreading problems](<https://www.sota2.com/research/paper/68fa26262c2a3760193b7021>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T11:10:39.289Z

Authors: Patrick B. Warren

Published: 2003-11-10T16:05:46.000Z

## 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0311216>)

[PDF](<https://arxiv.org/pdf/cond-mat/0311216.pdf>)