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dc.contributor.advisorVainchtein, Dmitri
dc.creatorWu, Fan
dc.date.accessioned2020-11-05T19:50:42Z
dc.date.available2020-11-05T19:50:42Z
dc.date.issued2014
dc.identifier.other890207816
dc.identifier.urihttp://hdl.handle.net/20.500.12613/4058
dc.description.abstractMixing in Stokes flows is notoriously difficult to achieve. With characteristic scales of the flows being too small for the turbulence to be present, and too large for the molecular diffusion to be significant, the chaotic advection presents almost the only mechanism that can lead to mixing. Unfortunately for mixing, the intrinsic symmetries of the flow create invariant surfaces that act as barriers to mixing. Thus, a key to efficient mixing is to add to the original (symmetric) flow a certain kind of perturbation that destroys those symmetries. In this dissertation, two ways of obtaining mixing in 3D near-integrable bounded time -dependent Stoke Flows are studied: resonances and separatrix crossings. First, I illustrate that the resonances between different components of the original flow and the perturbation may break the invariant surfaces, paving a way to the large-scale mixing. Theoretical estimations are compared against the results of numerical simulations, as well as 3D particle tracking velocimetry (3D-PTV) experimental results. Second, chaotic advection and mixing due to quasi-random jumps of the adiabatic invariant (AI) occurring when a streamline crosses the separatrix surfaces is studied. Analytical expressions for the change in the AI near the separatrix surfaces are derived and compared with numerical simulations.
dc.format.extent100 pages
dc.language.isoeng
dc.publisherTemple University. Libraries
dc.relation.ispartofTheses and Dissertations
dc.rightsIN COPYRIGHT- This Rights Statement can be used for an Item that is in copyright. Using this statement implies that the organization making this Item available has determined that the Item is in copyright and either is the rights-holder, has obtained permission from the rights-holder(s) to make their Work(s) available, or makes the Item available under an exception or limitation to copyright (including Fair Use) that entitles it to make the Item available.
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subjectEngineering, Mechanical
dc.subject3d Particle Tracking
dc.subjectChaotic Mixing
dc.subjectFluid Resonance
dc.subjectSeparatrix Crossing
dc.subjectStokes Flow
dc.titleResonances and Mixing in Confined Time-dependent Stokes Flows: The experiments, Numerics, and Analytics
dc.typeText
dc.type.genreThesis/Dissertation
dc.contributor.committeememberPeridier, Vallorie J.
dc.contributor.committeememberPillapakkam, Shriram
dc.contributor.committeememberKlapper, Isaac
dc.contributor.committeememberBai, Li
dc.description.departmentMechanical Engineering
dc.relation.doihttp://dx.doi.org/10.34944/dspace/4040
dc.ada.noteFor Americans with Disabilities Act (ADA) accommodation, including help with reading this content, please contact scholarshare@temple.edu
dc.description.degreePh.D.
refterms.dateFOA2020-11-05T19:50:42Z


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