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Evaporation of multiple droplets

Abstract:
We derive an accurate estimate for the diffusive evaporation rates of multiple droplets of different sizes and arbitrary contact angles placed on a horizontal substrate. The derivation, which is based on a combination of Green's second identity and the method of reflections, simply makes use of the solution for the evaporation of a single droplet. The theoretical results can serve as a guide for future computational and experimental studies on the collective evaporation of arrays of droplets, as well as similar multi-body, diffusion-dominated transport problems.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1017/jfm.2021.785

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author


Publisher:
Cambridge University Press
Journal:
Journal of Fluid Mechanics More from this journal
Volume:
927
Article number:
R4
Publication date:
2021-09-29
Acceptance date:
2021-09-03
DOI:
EISSN:
1469-7645
ISSN:
0022-1120


Language:
English
Keywords:
Pubs id:
1193866
Local pid:
pubs:1193866
Deposit date:
2021-09-03

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