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Droplet migration: quantitative comparisons with experiment

Gaskell, P.H., Koh, Y.Y., Jimack, P.K., Lee, Y.C. and Thompson, H.M. (2009) Droplet migration: quantitative comparisons with experiment. European Physical Journal Special Topics, 166 (1). pp. 117-120. ISSN 1951-6401

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An important practical feature of simulating droplet migration computationally, using the lubrication approach coupled to a disjoining pressure term, is the need to specify the thickness, H, of a thin energetically stable wetting layer, or precursor lm, over the entire substrate. The necessity that H be small in order to improve the accuracy of predicted droplet migration speeds, allied to the need for mesh resolution of the same order as H near wetting lines, increases the computational demands signicantly. To date no systematic investigation of these requirements on the quantitative agreement between prediction and experimental observation has been reported. Accordingly, this paper combines highly ecient Multigrid methods for solving the associated lubrication equations with a parallel computing framework, to explore the eect of H and mesh resolution. The solutions generated are compared with recent experimentally determined migration speeds for droplet ows down an inclined plane.

Item Type: Article
Copyright, Publisher and Additional Information: © EDP Sciences, Springer-Verlag 2009. This is an author produced version of a paper published in European Physical Journal Special Topics. Uploaded in accordance with the publisher's self-archiving policy.
Institution: The University of Leeds
Academic Units: The University of Leeds > Faculty of Engineering (Leeds) > School of Computing (Leeds)
The University of Leeds > Faculty of Engineering (Leeds) > School of Mechanical Engineering (Leeds) > Institute of Engineering Thermofluids, Surfaces & Interfaces (iETSI) (Leeds)
Depositing User: Mrs Yasmin Aziz
Date Deposited: 08 Dec 2008 16:03
Last Modified: 08 Feb 2013 17:05
Published Version: http://dx.doi.org/10.1140/epjst/e2009-00890-2
Status: Published
Publisher: Springer
Refereed: Yes
Identification Number: 10.1140/epjst/e2009-00890-2
URI: http://eprints.whiterose.ac.uk/id/eprint/4975

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