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dc.contributor.authorCarvalho, Gabriel D.
dc.contributor.authorMiranda, José A.
dc.contributor.authorGadêlha, Hermes
dc.date.accessioned2016-02-25T13:33:52Z
dc.date.available2016-02-25T13:33:52Z
dc.date.issued2013-11-11
dc.identifier.citationCarvalho GD, Miranda JA, Gadêlha H (2013) Interfacial elastic fingering in Hele-Shaw cells: A weakly nonlinear study. Phys Rev E 88. Available: http://dx.doi.org/10.1103/PhysRevE.88.053006.
dc.identifier.issn1539-3755
dc.identifier.issn1550-2376
dc.identifier.pmid24329350
dc.identifier.doi10.1103/PhysRevE.88.053006
dc.identifier.urihttp://hdl.handle.net/10754/598654
dc.description.abstractWe study a variant of the classic viscous fingering instability in Hele-Shaw cells where the interface separating the fluids is elastic, and presents a curvature-dependent bending rigidity. By employing a second-order mode-coupling approach we investigate how the elastic nature of the interface influences the morphology of emerging interfacial patterns. This is done by focusing our attention on a conventionally stable situation in which the fluids involved have the same viscosity. In this framework, we show that the inclusion of nonlinear effects plays a crucial role in inducing sizable interfacial instabilities, as well as in determining the ultimate shape of the pattern-forming structures. Particularly, we have found that the emergence of either narrow or wide fingers can be regulated by tuning a rigidity fraction parameter. Our weakly nonlinear findings reinforce the importance of the so-called curvature weakening effect, which favors the development of fingers in regions of lower rigidity. © 2013 American Physical Society.
dc.description.sponsorshipJ.A.M. and G.D.C. thank CNPq for financial support through the program “Instituto Nacional de Ciência e Tecnologia de Fluidos Complexos (INCT-FCx)”, and FACEPE through PRONEM project No. APQ-1415-1.05/10. H.G. acknowledges support through an Oxford University Hooke Fellowship and is supported by Award KUK-C1-013-04 from King Abdullah University of Science and Technology.
dc.publisherAmerican Physical Society (APS)
dc.titleInterfacial elastic fingering in Hele-Shaw cells: A weakly nonlinear study
dc.typeArticle
dc.identifier.journalPhysical Review E
dc.contributor.institutionUniversidade Federal de Pernambuco, Recife, Brazil
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdom
dc.contributor.institutionUniversity of Cambridge, Cambridge, United Kingdom
kaust.grant.numberKUK-C1-013-04


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