Handle URI:
http://hdl.handle.net/10754/599881
Title:
The capillary interaction between two vertical cylinders
Authors:
Cooray, Himantha; Cicuta, Pietro; Vella, Dominic
Abstract:
Particles floating at the surface of a liquid generally deform the liquid surface. Minimizing the energetic cost of these deformations results in an inter-particle force which is usually attractive and causes floating particles to aggregate and form surface clusters. Here we present a numerical method for determining the three-dimensional meniscus around a pair of vertical circular cylinders. This involves the numerical solution of the fully nonlinear Laplace-Young equation using a mesh-free finite difference method. Inter-particle force-separation curves for pairs of vertical cylinders are then calculated for different radii and contact angles. These results are compared with previously published asymptotic and experimental results. For large inter-particle separations and conditions such that the meniscus slope remains small everywhere, good agreement is found between all three approaches (numerical, asymptotic and experimental). This is as expected since the asymptotic results were derived using the linearized Laplace-Young equation. For steeper menisci and smaller inter-particle separations, however, the numerical simulation resolves discrepancies between existing asymptotic and experimental results, demonstrating that this discrepancy was due to the nonlinearity of the Laplace-Young equation. © 2012 IOP Publishing Ltd.
Citation:
Cooray H, Cicuta P, Vella D (2012) The capillary interaction between two vertical cylinders. J Phys: Condens Matter 24: 284104. Available: http://dx.doi.org/10.1088/0953-8984/24/28/284104.
Publisher:
IOP Publishing
Journal:
Journal of Physics: Condensed Matter
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
27-Jun-2012
DOI:
10.1088/0953-8984/24/28/284104
PubMed ID:
22738759
Type:
Article
ISSN:
0953-8984; 1361-648X
Sponsors:
We thank J Li and M Oettel for many useful discussions. This work is supported by a Developing World Education Fund Cambridge Scholarship made by Cambridge Commonwealth Trust, Overseas Research Students Awards Scheme (HC), by grant no. KUK-C1-013-04 made by King Abdullah University of Science and Technology (KAUST) (DV), and by the Marie Curie Training Network ITN-COMPLOIDS (FP7-PEOPLE-ITN-2008 no. 234810) (PC).
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorCooray, Himanthaen
dc.contributor.authorCicuta, Pietroen
dc.contributor.authorVella, Dominicen
dc.date.accessioned2016-02-28T06:31:35Zen
dc.date.available2016-02-28T06:31:35Zen
dc.date.issued2012-06-27en
dc.identifier.citationCooray H, Cicuta P, Vella D (2012) The capillary interaction between two vertical cylinders. J Phys: Condens Matter 24: 284104. Available: http://dx.doi.org/10.1088/0953-8984/24/28/284104.en
dc.identifier.issn0953-8984en
dc.identifier.issn1361-648Xen
dc.identifier.pmid22738759en
dc.identifier.doi10.1088/0953-8984/24/28/284104en
dc.identifier.urihttp://hdl.handle.net/10754/599881en
dc.description.abstractParticles floating at the surface of a liquid generally deform the liquid surface. Minimizing the energetic cost of these deformations results in an inter-particle force which is usually attractive and causes floating particles to aggregate and form surface clusters. Here we present a numerical method for determining the three-dimensional meniscus around a pair of vertical circular cylinders. This involves the numerical solution of the fully nonlinear Laplace-Young equation using a mesh-free finite difference method. Inter-particle force-separation curves for pairs of vertical cylinders are then calculated for different radii and contact angles. These results are compared with previously published asymptotic and experimental results. For large inter-particle separations and conditions such that the meniscus slope remains small everywhere, good agreement is found between all three approaches (numerical, asymptotic and experimental). This is as expected since the asymptotic results were derived using the linearized Laplace-Young equation. For steeper menisci and smaller inter-particle separations, however, the numerical simulation resolves discrepancies between existing asymptotic and experimental results, demonstrating that this discrepancy was due to the nonlinearity of the Laplace-Young equation. © 2012 IOP Publishing Ltd.en
dc.description.sponsorshipWe thank J Li and M Oettel for many useful discussions. This work is supported by a Developing World Education Fund Cambridge Scholarship made by Cambridge Commonwealth Trust, Overseas Research Students Awards Scheme (HC), by grant no. KUK-C1-013-04 made by King Abdullah University of Science and Technology (KAUST) (DV), and by the Marie Curie Training Network ITN-COMPLOIDS (FP7-PEOPLE-ITN-2008 no. 234810) (PC).en
dc.publisherIOP Publishingen
dc.titleThe capillary interaction between two vertical cylindersen
dc.typeArticleen
dc.identifier.journalJournal of Physics: Condensed Matteren
dc.contributor.institutionUniversity of Cambridge, Cambridge, United Kingdomen
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdomen
kaust.grant.numberKUK-C1-013-04en
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