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dc.contributorVirginia Tech
dc.contributor.authorLi, J.
dc.contributor.authorRenardy, Y. Y.
dc.contributor.authorRenardy, M.
dc.date.accessioned2014-04-24T18:34:09Z
dc.date.available2014-04-24T18:34:09Z
dc.date.issued1998-12
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/10.1063/1.869834
dc.identifier.issn1070-6631
dc.identifier.urihttp://hdl.handle.net/10919/47606
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].
dc.description.sponsorshipNational Science Foundation under Grants No. CTS-9612308, DMS-9622735
dc.format.mimetypeapplication/pdf
dc.language.isoen_US
dc.publisherAIP Publishing
dc.subjectflows
dc.subjectinstability
dc.subjectalgorithms
dc.subjectevolution
dc.subjectinterface
dc.subjectfluids
dc.subjectfronts
dc.titlea numerical study of periodic disturbances on two-layer Couette flaw
dc.typeArticle - Refereed
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/pof2/10/12/10.1063/1.869834
dc.date.accessed2014-04-04
dc.title.serialPhysics of Fluids
dc.identifier.doihttps://doi.org/10.1063/1.869834
dc.type.dcmitypeText


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