Numerical Simulation Of Stratified Flows And Droplet Deformation In 2D Shear Flow Of Newtonian And Viscoelastic Fluids

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dc.contributor.authorChinyoka, Tirivanhuen
dc.contributor.committeechairRenardy, Yuriko Y.en
dc.contributor.committeecochairRenardy, Michael J.en
dc.contributor.committeememberKim, Jong Uhnen
dc.contributor.committeememberSun, Shu-Mingen
dc.contributor.committeememberLin, Taoen
dc.contributor.departmentMathematicsen
dc.date.accessioned2014-03-14T20:19:19Zen
dc.date.adate2004-12-01en
dc.date.available2014-03-14T20:19:19Zen
dc.date.issued2004-11-15en
dc.date.rdate2004-12-01en
dc.date.sdate2004-11-29en
dc.description.abstractWe develop a viscoelastic version of the volume of fluid algorithm for tracking deformable interfaces. The code uses the piecewise linear interface calculation method to reconstruct the interface, the continuous surface force formulation to model interfacial tension forces and utilizes the semi-implicit Stokes solver (enabling computations at low Reynolds numbers). The algorithm is primarily designed to simulate the flow of superposed fluids and the drop in a flow problem in 2D shear flows of viscoelastic and/or Newtonian fluids. The code is validated against linear stability theory for the two-layer flow case and against experimental and other documented numerical investigations for the droplet-matrix case.en
dc.description.degreePh. D.en
dc.identifier.otheretd-11292004-130236en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-11292004-130236/en
dc.identifier.urihttp://hdl.handle.net/10919/29778en
dc.publisherVirginia Techen
dc.relation.haspartvtprime.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectstratified/superposed flowsen
dc.subjectviscoelastic fluidsen
dc.subjectnewtonian fluidsen
dc.subject2d shear flowsen
dc.subjectdroplet deformationen
dc.titleNumerical Simulation Of Stratified Flows And Droplet Deformation In 2D Shear Flow Of Newtonian And Viscoelastic Fluidsen
dc.typeDissertationen
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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