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Evaporation effects in elastocapillary aggregation

Abstract:
We consider the effect of evaporation on the aggregation of a number of elastic objects due to a liquid’s surface tension. In particular, we consider an array of spring–block elements in which the gaps between blocks are filled by thin liquid films that evaporate during the course of an experiment. Using lubrication theory to account for the fluid flow within the gaps, we study the dynamics of aggregation. We find that a non-zero evaporation rate causes the elements to aggregate more quickly and, indeed, to contact within finite time. However, we also show that the number of elements within each cluster decreases as the evaporation rate increases. We explain these results quantitatively by comparison with the corresponding two-body problem and discuss their relevance for controlling pattern formation in elastocapillary systems.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1017/jfm.2016.80

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author


More from this funder
Funding agency for:
Vella, D
Grant:
KUK-C1-013-04
More from this funder
Funding agency for:
Vella, D
Grant:
KUK-C1-013-04


Publisher:
Cambridge University Press
Journal:
Journal of Fluid Mechanics More from this journal
Volume:
792
Pages:
168-185
Publication date:
2016-04-10
Acceptance date:
2016-01-26
DOI:
EISSN:
1469-7645
ISSN:
0022-1120


Pubs id:
pubs:611342
UUID:
uuid:0e8af7a8-df97-4fe5-bf3e-96f8f3f1fd77
Local pid:
pubs:611342
Source identifiers:
611342
Deposit date:
2016-03-22

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