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The shape of a small liquid drop on a cone and plate rheometer

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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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
Keywords: liquid bridge, sessile drop, pendant drop, asymptotics, surface tension, curvature, matched asymptotic expansions, Mathematics, Applied Mathematics
Subjects: Science > Mathematics
Department: Faculty of Science > Mathematics and Statistics
Depositing user: Mrs Carolynne Westwood
Date Deposited: 14 Oct 2010 14:33
Last modified: 21 May 2015 12:48
Related URLs:
URI: http://strathprints.strath.ac.uk/id/eprint/28213

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