Three-Dimensional, Time-Dependent Spectral Element Simulations of a Thermocapillary Liquid Bridge with Magnetic Stabilization

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dc.contributor.advisorHouchens, Brent C.en_US
dc.creatorDavis, Kenneth Edwarden_US
dc.date.accessioned2012-07-03T22:49:36Zen_US
dc.date.available2012-07-03T22:49:36Zen_US
dc.date.created2011-04en_US
dc.date.issued2011en_US
dc.description.abstractThe spectral element method is used to obtain 3D, time-dependent solutions for a thermocapillary driven liquid bridge with magnetic stabilization, which arises from the float-zone crystal growth process. The methods and implementation of the general, in-house developed fluid flow and heat transfer spectral element solver are discussed and the code is benchmarked. This work compares three-dimensional, time-dependent results to perturbations predicted by linear stability theory for the full-zone problem with Prandtl number of 0.02. Critical points, mode numbers, and azimuthal velocity perturbations are matched for the instabilities. Additionally, the simulations extend the study beyond the initial bifurcation point to find modal competition between two steady modes for the zero magnetic field case. Applying an axial magnetic field damps the perturbations and delays instabilities, providing a quiescent interior region that is conducive to growing defect free, uniform composition crystals. Weak magnetic fields are shown to remove the modal competition that leads to undesirable, time-dependent flow with mode switching.en_US
dc.format.extent79 ppen_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.citationDavis, Kenneth Edward. "Three-Dimensional, Time-Dependent Spectral Element Simulations of a Thermocapillary Liquid Bridge with Magnetic Stabilization." (2011) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/64417">https://hdl.handle.net/1911/64417</a>.en_US
dc.identifier.digitalDavisKen_US
dc.identifier.urihttps://hdl.handle.net/1911/64417en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.subjectMechanical engineeringen_US
dc.subjectMaterials scienceen_US
dc.titleThree-Dimensional, Time-Dependent Spectral Element Simulations of a Thermocapillary Liquid Bridge with Magnetic Stabilizationen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentMechanical Engineering and Materials Scienceen_US
thesis.degree.disciplineEngineeringen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelMastersen_US
thesis.degree.nameMaster of Scienceen_US
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