A numerical study of periodic disturbances on two-layer Couette flaw

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dc.contributorVirginia Techen
dc.contributor.authorLi, Jieen
dc.contributor.authorRenardy, Yuriko Y.en
dc.contributor.authorRenardy, Michael J.en
dc.contributor.departmentMathematicsen
dc.contributor.departmentInterdisciplinary Center for Applied Mathematics (ICAM)en
dc.date.accessed2014-04-04en
dc.date.accessioned2014-04-24T18:34:09Zen
dc.date.available2014-04-24T18:34:09Zen
dc.date.issued1998-12en
dc.description.abstractThe flow of two viscous liquids is investigated numerically with a volume of fluid scheme. The scheme incorporates a semi-implicit Stokes solver to enable computations at low Reynolds numbers, and a second-order velocity interpolation. The code is validated against linear theory for the stability of two-layer Couette flow, and weakly nonlinear theory for a Hopf bifurcation. Examples of long-time wave saturation are shown. The formation of fingers for relatively small initial amplitudes as well as larger amplitudes are presented in two and three dimensions as initial-value problems. Fluids of different viscosity and density are considered, with an emphasis on the effect of the viscosity difference. Results at low Reynolds numbers show elongated fingers in two dimensions that break in three dimensions to form drops, while different topological changes take place at higher Reynolds numbers. (C) 1998 American Institute of Physics. [S1070-6631(98)00612-6].en
dc.description.sponsorshipNational Science Foundation under Grants No. CTS-9612308, DMS-9622735en
dc.format.mimetypeapplication/pdfen
dc.identifier.citationLi, J; Renardy, YY; Renardy, M, "A numerical study of periodic disturbances on two-layer Couette flaw," Phys. Fluids 10, 3056 (1998); http://dx.doi.org/10.1063/1.869834en
dc.identifier.doihttps://doi.org/10.1063/1.869834en
dc.identifier.issn1070-6631en
dc.identifier.urihttp://hdl.handle.net/10919/47606en
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/pof2/10/12/10.1063/1.869834en
dc.language.isoen_USen
dc.publisherAIP Publishingen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectflowsen
dc.subjectinstabilityen
dc.subjectalgorithmsen
dc.subjectevolutionen
dc.subjectinterfaceen
dc.subjectfluidsen
dc.subjectfrontsen
dc.titleA numerical study of periodic disturbances on two-layer Couette flawen
dc.title.serialPhysics of Fluidsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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