Evaporation effects in elastocapillary aggregation

Type
Article

Authors
Hadjittofis, Andreas
Lister, John R.
Singh, Kiran
Vella, Dominic

KAUST Grant Number
KUK-C1-013-04

Date
2016-03-01

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 final 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.

Citation
Hadjittofis, A., Lister, J. R., Singh, K., & Vella, D. (2016). Evaporation effects in elastocapillary aggregation. Journal of Fluid Mechanics, 792, 168–185. doi:10.1017/jfm.2016.80

Acknowledgements
K.S. and D.V. wish to acknowledge the support of the King Abdullah University of Science and Technology (KAUST; Award No. KUK-C1-013-04), and the John Fell Oxford University Press (OUP) Research Fund.

Publisher
CAMBRIDGE UNIV PRESS

Journal
JOURNAL OF FLUID MECHANICS

DOI
10.1017/jfm.2016.80

Additional Links
https://www.cambridge.org/core/product/identifier/S002211201600080X/type/journal_article

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