Cregan, V. and O'Brien, S.B.C. and McKee, Sean (2010) The shape of a small liquid drop on a cone and plate rheometer. SIAM Journal on Applied Mathematics, 70 (6). pp. 2075-2096. ISSN 0036-1399
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Official URL: http://dx.doi.org/10.1137/090765201
Abstract
We construct asymptotic solutions for the shape of a small liquid sessile drop in a cone and plate rheometer. The approximation is based on small Bond number or, equivalently, on a characteristic length scale which is much smaller than the capillary length. The drop has a complicated asymptotic structure, consisting of five separate scalings, which is resolved using the method of matched asymptotic expansions. We find that the presence of a substrate above (and below) the drop gives rise to qualitatively new drop configurations.
| Item type: | Article |
|---|---|
| ID code: | 28213 |
| Notes: | pdf file attached |
| Keywords: | liquid bridge, sessile drop, pendant drop, asymptotics, surface tension, curvature, matched asymptotic expansions, Mathematics |
| Subjects: | Science > Mathematics |
| Department: | Faculty of Science > Mathematics and Statistics |
| Related URLs: | |
| Depositing user: | Mrs Carolynne Westwood |
| Date Deposited: | 14 Oct 2010 15:33 |
| Last modified: | 06 Oct 2012 09:05 |
| URI: | http://strathprints.strath.ac.uk/id/eprint/28213 |
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