A numerical analysis of coupled solidification and natural convection within a two-dimensional rectangular cavity

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dc.contributor.advisorChapman, Alan J.en_US
dc.creatorHeuer, Christopher Edwarden_US
dc.date.accessioned2018-12-18T21:28:28Zen_US
dc.date.available2018-12-18T21:28:28Zen_US
dc.date.issued1974en_US
dc.descriptionText includes handwritten formulasen_US
dc.description.abstractA numerical method is developed to solve a problem of coupled solidification and natural convection within a two-dimensional rectangular cavity. The vertical walls of the cavity are adiabatic while the horizontal walls are isothermal, the upper boundary being maintained below the fusion temperature of the liquid. The solid layer that forms is assumed to have a uniform thickness. The Boussinesq system of equations is used to describe the liquid, and the one-dimensional heat conduction equation is used to describe the solid. The average temperature derivatives at the solid-liquid interface are used to determine its motion. A coordinate transformation based on solid thickness and an alternating direction implicit differencing scheme are the central features of the numerical method. For the limited range of non-dimensional parameters studied, steady state values of solid thickness and heat transfer coefficient as well as stream function and temperature distributions are obtained. It is found that the steady state of the liquid is not affected by the presence of a moving interface during the transient period. Internal natural convection without phase change is then studied to learn more about the details of the flow field.en_US
dc.format.digitalOriginreformatted digitalen_US
dc.format.extent102 ppen_US
dc.identifier.callnoTHESIS M.E. 1974 HEUERen_US
dc.identifier.citationHeuer, Christopher Edward. "A numerical analysis of coupled solidification and natural convection within a two-dimensional rectangular cavity." (1974) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/104678">https://hdl.handle.net/1911/104678</a>.en_US
dc.identifier.digitalRICE2314en_US
dc.identifier.urihttps://hdl.handle.net/1911/104678en_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.titleA numerical analysis of coupled solidification and natural convection within a two-dimensional rectangular cavityen_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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