High resolution numerical study of a liquid bridge Marangoni flow with applied axial magnetic field for low Prandtl number fluids

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dc.contributor.advisorHouchens, Brent C.en_US
dc.creatorHuang, Yueen_US
dc.date.accessioned2011-07-25T02:05:58Zen_US
dc.date.available2011-07-25T02:05:58Zen_US
dc.date.issued2010en_US
dc.description.abstractThe Full Zone model of the thermocapillary (Marangoni) flow in a liquid bridge with an axial magnetic field, measured by the Hartmann number Ha, is studied using a Chebyshev spectral method for low Prandtl number fluids. By introducing a 2nd order vorticity transport formulation, high resolution Gauss-Lobatto grids can be used to investigate the strong stabilization effects from intermediate magnetic fields, which were impossible with previous formulations. The instability mechanism of the axisymmetric base flow is studied up to Ha=500 for Pr=0.001 and up to Ha=300 for Pr=0.02 using linear stability analyses. Over these parameter spaces, the base flow first transitions to three-dimensional stationary disturbances with different axial symmetries. Solutions from the 2nd order vorticity transport formulation show good agreement with previous studies on weak magnetic fields. This work provides better understanding of the magnetohydrodynamic flow in intermediate field strengths, as well as guidance for optically heated float-zone crystal growth processes.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.callnoTHESIS M.E. 2010 HUANGen_US
dc.identifier.citationHuang, Yue. "High resolution numerical study of a liquid bridge Marangoni flow with applied axial magnetic field for low Prandtl number fluids." (2010) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/62073">https://hdl.handle.net/1911/62073</a>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/62073en_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.subjectPlasma physicsen_US
dc.titleHigh resolution numerical study of a liquid bridge Marangoni flow with applied axial magnetic field for low Prandtl number fluidsen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentMechanical Engineeringen_US
thesis.degree.disciplineEngineeringen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelMastersen_US
thesis.degree.nameMaster of Scienceen_US
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