Analysis for Taylor vortex flow

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dc.contributor.authorLi, Rihuaen
dc.contributor.committeechairHerbert, Thorwalden
dc.contributor.committeememberJohnson, Lee W.en
dc.contributor.committeememberMeirovitch, Leonarden
dc.contributor.committeememberMook, Dean T.en
dc.contributor.committeememberSmith, Charles W.en
dc.contributor.departmentEngineering Mechanicsen
dc.date.accessioned2015-06-24T13:35:24Zen
dc.date.available2015-06-24T13:35:24Zen
dc.date.issued1986en
dc.description.abstractTaylor vortex flow is one of the basic problems of nonlinear hydrodynamic stability. In contrast with the wide region of wavenumber predicted by the linear theory, experiments show that Taylor vortex flow only appears in a small region containing the critical wavenumber ß<sub>er</sub> This phenomenon is called wave selection. In this work, several high-order perturbation methods and a numerical method are established. Both evolution and steady state of the How caused by single or several disturbances are studied. The existence of multiple steady states for disturbances with small wavenumber is discovered and proved. The stable and unstable steady state solutions and some associated phenomena such as jump phenomenon and hysteresis phenomenon are found. and explained. In the small region, the wavenumbers and initial amplitudes of disturbances determine the wavenumber of the flow. But outside this region, only the wavenumbers of the disturbances have effect on the wave selection. These results indicate that unstable solutions play a key role in wave selection. The side-band stability curve produced by the high-order perturbation methods is accurate at low Taylor numbers but incorrect at relatively high Taylor numbers. The relation of the unstable solutions and side-band stability is discussed. Besides, the overshoot and the oscillation phenomena during evolution are studied in detail. Connections between this work and experiments are discussed.en
dc.description.degreePh. D.en
dc.format.extentv, 169 leavesen
dc.format.mimetypeapplication/pdfen
dc.identifier.urihttp://hdl.handle.net/10919/53628en
dc.language.isoen_USen
dc.publisherVirginia Polytechnic Institute and State Universityen
dc.relation.isformatofOCLC# 13912557en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V856 1986.L574en
dc.subject.lcshHydrodynamicsen
dc.subject.lcshVortex-motionen
dc.subject.lcshStabilityen
dc.subject.lcshAsymptotic expansionsen
dc.titleAnalysis for Taylor vortex flowen
dc.typeDissertationen
dc.type.dcmitypeTexten
thesis.degree.disciplineEngineering Mechanicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en
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