Numerical investigation of elongated drops in a microfluidic T-junction

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dc.contributorVirginia Techen
dc.contributor.authorAfkhami, Shahriaren
dc.contributor.authorLeshansky, A. M.en
dc.contributor.authorRenardy, Yuriko Y.en
dc.contributor.departmentMathematicsen
dc.date.accessed2013-11-20en
dc.date.accessioned2013-12-04T14:59:20Zen
dc.date.available2013-12-04T14:59:20Zen
dc.date.issued2011-02en
dc.description.abstractWe present a combined numerical and asymptotic approach for modeling droplets in microchannels. The magnitude of viscous forces relative to the surface tension force is characterized by a capillary number, Ca, which is assumed to be small. The numerical results successfully capture existing asymptotic solutions for the motion of drops in unconfined and confined flows; examples include the analytic Stokes flow solution for a two-dimensional inviscid bubble placed in an unbounded parabolic flow field and asymptotic formulas for slender bubbles and drops in confined flows. An extensive investigation of the accuracy of the computations is presented to probe the efficacy of the methodology and algorithms. Thereafter, numerical simulations are presented for droplet breakup in a symmetric microfluidic T-junction. The results are shown to support a proposed mechanism for breakup, driven by a pressure drop in a narrow gap between the droplet and the outer channel wall, which was formally derived in the limit Ca(1/5) << 1 [A. M. Leshansky and L. M. Pismen, "Breakup of drops in a microfluidic T junction," Phys. Fluids 21, 023303 (2009)]. (C) 2011 American Institute of Physics.en
dc.description.sponsorshipNSF-DMS 0907788en
dc.description.sponsorshipTeraGrid Large Resource Allocations TG-DMS090009,TG-DMS090008en
dc.description.sponsorshipInstitute for Mathematics and Its Applications at The University of Minnesotaen
dc.description.sponsorshipIsrael Science Foundation (ISF) 1319/09en
dc.format.mimetypeapplication/pdfen
dc.identifier.citationAfkhami, S. and Leshansky, A. M. and Renardy, Y., “Numerical investigation of elongated drops in a microfluidic T-junction,” Phys. Fluids (1994-present), 23, 022002 (2011), DOI:http://dx.doi.org/10.1063/1.3549266en
dc.identifier.doihttps://doi.org/10.1063/1.3549266en
dc.identifier.issn1070-6631en
dc.identifier.urihttp://hdl.handle.net/10919/24384en
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/pof2/23/2/10.1063/1.3549266en
dc.language.isoenen
dc.publisherAmerican Institute of Physicsen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectMultiphase flowsen
dc.subjectFree-surfaceen
dc.subjectBubblesen
dc.subjectSimulationsen
dc.subjectMotionen
dc.subjectDynamicsen
dc.subjectFluidsen
dc.subjectTubesen
dc.titleNumerical investigation of elongated drops in a microfluidic T-junctionen
dc.title.serialPhysics of Fluidsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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