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dc.contributor.authorLiang, Xiangdong
dc.contributor.authorDeng, D. S.
dc.contributor.authorNave, Jean-Christophe
dc.contributor.authorJohnson, Steven G.
dc.date.accessioned2011-09-21T17:22:25Z
dc.date.available2011-09-21T17:22:25Z
dc.date.issued2011-08
dc.date.submitted2010-09
dc.identifier.issn0022-1120
dc.identifier.issn1469-7645
dc.identifier.urihttp://hdl.handle.net/1721.1/65905
dc.description.abstractMotivated by complex multi-fluid geometries currently being explored in fibre-device manufacturing, we study capillary instabilities in concentric cylindrical flows of $N$ fluids with arbitrary viscosities, thicknesses, densities, and surface tensions in both the Stokes regime and for the full Navier–Stokes problem. Generalizing previous work by Tomotika ($N= 2$), Stone & Brenner ($N= 3$, equal viscosities) and others, we present a full linear stability analysis of the growth modes and rates, reducing the system to a linear generalized eigenproblem in the Stokes case. Furthermore, we demonstrate by Plateau-style geometrical arguments that only axisymmetric instabilities need be considered. We show that the $N= 3$ case is already sufficient to obtain several interesting phenomena: limiting cases of thin shells or low shell viscosity that reduce to $N= 2$ problems, and a system with competing breakup processes at very different length scales. The latter is demonstrated with full three-dimensional Stokes-flow simulations. Many $N\gt 3$ cases remain to be explored, and as a first step we discuss two illustrative $N\ensuremath{\rightarrow} \infty $ cases, an alternating-layer structure and a geometry with a continuously varying viscosity.en_US
dc.description.sponsorshipCenter for Materials Science and Engineering at MIT (National Science Foundation (U.S.) (MRSEC program award DMR-0819762) )en_US
dc.description.sponsorshipUnited States. Army Research Office (Institute for Soldier Nanotechnologies) (contract W911NF-07-D-0004)en_US
dc.language.isoen_US
dc.publisherCambridge University Pressen_US
dc.relation.isversionofhttp://dx.doi.org/10.1017/jfm.2011.260en_US
dc.rightsCreative Commons Attribution-Noncommercial-Share Alike 3.0en_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/en_US
dc.sourceXiangdong Liangen_US
dc.titleLinear stability analysis of capillary instabilities for concentric cylindrical shellsen_US
dc.typeArticleen_US
dc.identifier.citationLiang, X. et al. “Linear Stability Analysis of Capillary Instabilities for Concentric Cylindrical Shells.” Journal of Fluid Mechanics 683 (2011) : 235-262.en_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Chemical Engineeringen_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mathematicsen_US
dc.contributor.approverJohnson, Steven G.
dc.contributor.mitauthorLiang, Xiangdong
dc.contributor.mitauthorDeng, D. S.
dc.contributor.mitauthorJohnson, Steven G.
dc.relation.journalJournal of Fluid Mechanicsen_US
dc.eprint.versionAuthor's final manuscripten_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dspace.orderedauthorsLiang, X.; Deng, D. S.; Nave, J.-C.; Johnson, Steven G.en
dc.identifier.orcidhttps://orcid.org/0000-0001-7327-4967
mit.licenseOPEN_ACCESS_POLICYen_US


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