Handle URI:
http://hdl.handle.net/10754/597269
Title:
A fluid-mechanical model of elastocapillary coalescence
Authors:
Singh, Kiran; Lister, John R.; Vella, Dominic
Abstract:
© 2014 Cambridge University Press. We present a fluid-mechanical model of the coalescence of a number of elastic objects due to surface tension. We consider an array of spring-block elements separated by thin liquid films, whose dynamics are modelled using lubrication theory. With this simplified model of elastocapillary coalescence, we present the results of numerical simulations for a large number of elements, N = O(10<sup>4</sup>). A linear stability analysis shows that pairwise coalescence is always the most unstable mode of deformation. However, the numerical simulations show that the cluster sizes actually produced by coalescence from a small white-noise perturbation have a distribution that depends on the relative strength of surface tension and elasticity, as measured by an elastocapillary number K. Both the maximum cluster size and the mean cluster size scale like K<sup>-1/2</sup> for small K. An analytical solution for the response of the system to a localized perturbation shows that such perturbations generate propagating disturbance fronts, which leave behind 'frozen-in' clusters of a predictable size that also depends on K. A good quantitative comparison between the cluster-size statistics from noisy perturbations and this 'frozen-in' cluster size suggests that propagating fronts may play a crucial role in the dynamics of coalescence.
Citation:
Singh K, Lister JR, Vella D (2014) A fluid-mechanical model of elastocapillary coalescence. Journal of Fluid Mechanics 745: 621–646. Available: http://dx.doi.org/10.1017/jfm.2014.102.
Publisher:
Cambridge University Press (CUP)
Journal:
Journal of Fluid Mechanics
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
25-Mar-2014
DOI:
10.1017/jfm.2014.102
Type:
Article
ISSN:
0022-1120; 1469-7645
Sponsors:
KS and DV 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. JRL gratefully acknowledges support from Princeton University to cover a sabbatical visit during the Spring semester 2013, and we also acknowledge all of those involved in the Oxford-Princeton Collaboration 2013 that prompted some early stages of this work.
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorSingh, Kiranen
dc.contributor.authorLister, John R.en
dc.contributor.authorVella, Dominicen
dc.date.accessioned2016-02-25T12:29:27Zen
dc.date.available2016-02-25T12:29:27Zen
dc.date.issued2014-03-25en
dc.identifier.citationSingh K, Lister JR, Vella D (2014) A fluid-mechanical model of elastocapillary coalescence. Journal of Fluid Mechanics 745: 621–646. Available: http://dx.doi.org/10.1017/jfm.2014.102.en
dc.identifier.issn0022-1120en
dc.identifier.issn1469-7645en
dc.identifier.doi10.1017/jfm.2014.102en
dc.identifier.urihttp://hdl.handle.net/10754/597269en
dc.description.abstract© 2014 Cambridge University Press. We present a fluid-mechanical model of the coalescence of a number of elastic objects due to surface tension. We consider an array of spring-block elements separated by thin liquid films, whose dynamics are modelled using lubrication theory. With this simplified model of elastocapillary coalescence, we present the results of numerical simulations for a large number of elements, N = O(10<sup>4</sup>). A linear stability analysis shows that pairwise coalescence is always the most unstable mode of deformation. However, the numerical simulations show that the cluster sizes actually produced by coalescence from a small white-noise perturbation have a distribution that depends on the relative strength of surface tension and elasticity, as measured by an elastocapillary number K. Both the maximum cluster size and the mean cluster size scale like K<sup>-1/2</sup> for small K. An analytical solution for the response of the system to a localized perturbation shows that such perturbations generate propagating disturbance fronts, which leave behind 'frozen-in' clusters of a predictable size that also depends on K. A good quantitative comparison between the cluster-size statistics from noisy perturbations and this 'frozen-in' cluster size suggests that propagating fronts may play a crucial role in the dynamics of coalescence.en
dc.description.sponsorshipKS and DV 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. JRL gratefully acknowledges support from Princeton University to cover a sabbatical visit during the Spring semester 2013, and we also acknowledge all of those involved in the Oxford-Princeton Collaboration 2013 that prompted some early stages of this work.en
dc.publisherCambridge University Press (CUP)en
dc.subjectcapillary flowsen
dc.subjectlubrication theoryen
dc.subjectMEMS/NEMSen
dc.titleA fluid-mechanical model of elastocapillary coalescenceen
dc.typeArticleen
dc.identifier.journalJournal of Fluid Mechanicsen
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdomen
dc.contributor.institutionUniversity of Cambridge, Cambridge, United Kingdomen
kaust.grant.numberKUK-C1-013-04en
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