Field-induced motion of ferrofluid droplets through immiscible viscous media

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dc.contributorVirginia Techen
dc.contributor.authorAfkhami, Shahriaren
dc.contributor.authorRenardy, Yuriko Y.en
dc.contributor.authorRenardy, Michael J.en
dc.contributor.authorRiffle, Judy S.en
dc.contributor.authorSt Pierre, T.en
dc.contributor.departmentChemistryen
dc.contributor.departmentMathematicsen
dc.date.accessed2014-07-15en
dc.date.accessioned2014-07-21T15:49:37Zen
dc.date.available2014-07-21T15:49:37Zen
dc.date.issued2008-09en
dc.description.abstractThe motion of a hydrophobic ferrofluid droplet placed in a viscous medium and driven by an externally applied magnetic field is investigated numerically in an axisymmetric geometry. Initially, the drop is spherical and placed at a distance away from the magnet. The governing equations are the Maxwell equations for a non-conducting flow, momentum equation and incompressibility. A numerical algorithm is derived to model the interface between a magnetized fluid and a non-magnetic fluid via a volume-of-fluid framework. A continuum-surface-force formulation is used to model the interfacial tension force as a body force, and the placement of the liquids is tracked by a volume fraction function. Three cases are Studied. First, where inertia is dominant, the magnetic Laplace number Is varied while the Laplace number is fixed. Secondly, where inertial effects are negligible, the Laplace number is varied while the magnetic Laplace number is fixed. In the third case, the magnetic Bond number and inertial effects are both small, and the magnetic force is of the order of the viscous drag force. The time taken by the droplet to travel through the medium and the deformations in the drop are investigated and compared with a previous experimental study and accompanying simpler model. The transit times are found to compare more favourably than with the simpler model.en
dc.description.sponsorshipNSF-DMS 0405810en
dc.description.sponsorshipNCSA TG-CTS060013Nen
dc.description.sponsorshipNSF-ARC Materials World Network for the Study of Macromolecular Ferrofluids (DMR-0602932 -LX0668968)en
dc.identifier.citationAfkhami, S.; Renardy, Y.; Renardy, M.; Riffle, J. S.; St Pierre, T., "Field-induced motion of ferrofluid droplets through immiscible viscous media," J. Fluid Mech. (2008), 610, pp. 363-380. DOI: 10.1017/s0022112008002589en
dc.identifier.doihttps://doi.org/10.1017/s0022112008002589en
dc.identifier.issn0022-1120en
dc.identifier.urihttp://hdl.handle.net/10919/49631en
dc.identifier.urlhttp://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=2052236&fulltextType=RA&fileId=S0022112008002589en
dc.language.isoen_USen
dc.publisherCambridge University Pressen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectnumerical-simulationen
dc.subjectfree-surfaceen
dc.subjectflowen
dc.subjectinstabilityen
dc.subjecttensionen
dc.subjectmechanicsen
dc.subjectphysics, fluids & plasmasen
dc.titleField-induced motion of ferrofluid droplets through immiscible viscous mediaen
dc.title.serialJournal of Fluid Mechanicsen
dc.typeArticle - Refereeden

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