Droplet migration: Quantitative comparisons with experiment
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 film, over the entire substrate. The neces...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences & Springer-Verlag
2009
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| Subjects: | |
| Online Access: | http://eprints.intimal.edu.my/202/ http://eprints.intimal.edu.my/202/1/3.pdf |
| Summary: | 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 film, 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 significantly. 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 efficient
Multigrid methods for solving the associated lubrication equations with a parallel
computing framework, to explore the effect of H
∗
and mesh resolution. The solutions
generated are compared with recent experimentally determined migration
speeds for droplet flows down an inclined plane. |
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