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Hydrodynamic Stability of Free Convection from an Inclined Elliptic Cylinder

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dc.contributor.authorFinlay, Leslieen
dc.date.accessioned2007-05-08T14:01:11Z
dc.date.available2007-05-08T14:01:11Z
dc.date.issued2006en
dc.date.submitted2006en
dc.description.abstractThe steady problem of free convective heat transfer from an isothermal inclined elliptic cylinder and its stability is investigated. The cylinder is inclined at an arbitrary angle with the horizontal and immersed in an unbounded, viscous, incompressible fluid. It is assumed that the flow is laminar and two-dimensional and that the Boussinesq approximation is valid. The full steady Navier-Stokes and thermal energy equations are transformed to elliptical co-ordinates and an asymptotic analysis is used to find appropriate far-field conditions. A numerical scheme based on finite differences is then used to obtain numerical solutions. Results are found for small to moderate Grashof and Prandtl numbers, and varying ellipse inclinations and aspect ratios. <br /><br /> A linear stability analysis is performed to determine the critical Grashof number at which the flow loses stability. Comparisons are made with long-time unsteady solutions.en
dc.formatapplication/pdfen
dc.format.extent1027161 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/10012/2929
dc.language.isoenen
dc.pendingfalseen
dc.publisherUniversity of Waterlooen
dc.rightsCopyright: 2006, Finlay, Leslie. All rights reserved.en
dc.subjectMathematicsen
dc.subjectfree convectionen
dc.subjecthydrodynamic stabilityen
dc.subjectelliptic cylinderen
dc.subjectsteady-stateen
dc.titleHydrodynamic Stability of Free Convection from an Inclined Elliptic Cylinderen
dc.typeMaster Thesisen
uws-etd.degreeMaster of Mathematicsen
uws-etd.degree.departmentApplied Mathematicsen
uws.peerReviewStatusUnrevieweden
uws.scholarLevelGraduateen
uws.typeOfResourceTexten

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