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 1095-712X (https://doi.org/10.1137/090765201)
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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.
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Item type: Article ID code: 28213 Dates: DateEventApril 2010PublishedSubjects: Science > Mathematics Department: Faculty of Science > Mathematics and Statistics Depositing user: Mrs Carolynne Westwood Date deposited: 14 Oct 2010 14:33 Last modified: 12 Oct 2024 00:17 Related URLs: URI: https://strathprints.strath.ac.uk/id/eprint/28213