On the shapes of droplets that are sliding on a vertical wall

Schwartz, L. W., Roux, D. and Cooper-White, J. J. (2005) On the shapes of droplets that are sliding on a vertical wall. Physica D: Nonlinear Phenomena, 209 1-4: 236-244. doi:10.1016/j.physd.2005.07.001

Author Schwartz, L. W.
Roux, D.
Cooper-White, J. J.
Title On the shapes of droplets that are sliding on a vertical wall
Journal name Physica D: Nonlinear Phenomena   Check publisher's open access policy
ISSN 0167-2789
Publication date 2005-09-15
Sub-type Article (original research)
DOI 10.1016/j.physd.2005.07.001
Volume 209
Issue 1-4
Start page 236
End page 244
Total pages 9
Place of publication Amsterdam, Netherland
Publisher Elsevier
Language eng
Abstract This paper presents a straightforward theoretical model for the slow motion of a viscous liquid drop on an inclined or vertical wall. The model simulates three-dimensional unsteady motion using the long-wave or lubrication approximation. The static contact angle, or wetting angle, between the liquid and the substrate is a given finite value. By using a "disjoining pressure" model, the time-dependent dynamic changes in the contact angle are predicted without the need for further modeling. For a small droplet on a vertical wall, all its properties, including its size, weight, surface tension, and contact angle, can be collapsed into a single dimensionless control parameter. A wide variety of drop shapes can be calculated by varying this parameter. Apparently all experimentally observed regimes can be reproduced. These include single sliding drops of various forms, an almost-periodic shedding of droplets from the main drop, and virtually chaotic motions. The detailed agreement with experiment provides strong evidence for the validity and usefulness of the present theory.
Keyword Computer simulation
Mathematical modeling
Disjoining pressure
Contact lines
Fluid mechanics
Chaotic motion
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ
Additional Notes Journal issue: "Non-linear Dynamics of Thin Films and Fluid Interfaces, Workshop on Non-linear Dynamics of Thin Films and Fluid Interfaces"

Document type: Journal Article
Sub-type: Article (original research)
Collections: Excellence in Research Australia (ERA) - Collection
Australian Institute for Bioengineering and Nanotechnology Publications
Version Filter Type
Citation counts: TR Web of Science Citation Count  Cited 24 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 24 times in Scopus Article | Citations
Google Scholar Search Google Scholar
Created: Wed, 19 Sep 2007, 18:45:35 EST