Finite element analysis of eigenvalue problems in the stability of fluid motions

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dc.contributor.advisorReddy, B. D
dc.contributor.authorDu Toit, Helena
dc.date.accessioned2024-07-23T13:13:18Z
dc.date.available2024-07-23T13:13:18Z
dc.date.issued1986
dc.date.updated2024-07-22T12:59:55Z
dc.description.abstractVariational eigenvalue problems for linear and energy stability theory of buoyancy-driven flow are studied. Critical Rayleigh numbers are determined by the finite element method. The penalty method is used to approximate the incompressibility condition. We consider the stability of Boussinesq flows in a two-dimensional box in which internal heat sources are present. The influence of side walls are studied for various boundary conditions and width-to-height ratios. The temperature boundary conditions include fixed heat flux at the side walls, fixed temperature and fixed heat flux at the bottom surface, and a general convective exchange at the upper surface which includes fixed temperature and fixed heat flux as special eases. The velocity boundary conditions include rigid side walls and rigid and free upper and lower surfaces.
dc.identifier.apacitationDu Toit, H. (1986). <i>Finite element analysis of eigenvalue problems in the stability of fluid motions</i>. (). ,Not Specified ,Not Specified. Retrieved from http://hdl.handle.net/11427/40475en_ZA
dc.identifier.chicagocitationDu Toit, Helena. <i>"Finite element analysis of eigenvalue problems in the stability of fluid motions."</i> ., ,Not Specified ,Not Specified, 1986. http://hdl.handle.net/11427/40475en_ZA
dc.identifier.citationDu Toit, H. 1986. Finite element analysis of eigenvalue problems in the stability of fluid motions. . ,Not Specified ,Not Specified. http://hdl.handle.net/11427/40475en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Du Toit, Helena AB - Variational eigenvalue problems for linear and energy stability theory of buoyancy-driven flow are studied. Critical Rayleigh numbers are determined by the finite element method. The penalty method is used to approximate the incompressibility condition. We consider the stability of Boussinesq flows in a two-dimensional box in which internal heat sources are present. The influence of side walls are studied for various boundary conditions and width-to-height ratios. The temperature boundary conditions include fixed heat flux at the side walls, fixed temperature and fixed heat flux at the bottom surface, and a general convective exchange at the upper surface which includes fixed temperature and fixed heat flux as special eases. The velocity boundary conditions include rigid side walls and rigid and free upper and lower surfaces. DA - 1986 DB - OpenUCT DP - University of Cape Town KW - Applied Mathematics LK - https://open.uct.ac.za PY - 1986 T1 - Finite element analysis of eigenvalue problems in the stability of fluid motions TI - Finite element analysis of eigenvalue problems in the stability of fluid motions UR - http://hdl.handle.net/11427/40475 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/40475
dc.identifier.vancouvercitationDu Toit H. Finite element analysis of eigenvalue problems in the stability of fluid motions. []. ,Not Specified ,Not Specified, 1986 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/40475en_ZA
dc.language.rfc3066eng
dc.publisher.departmentNot Specified
dc.publisher.facultyNot Specified
dc.subjectApplied Mathematics
dc.titleFinite element analysis of eigenvalue problems in the stability of fluid motions
dc.typeThesis / Dissertation
dc.type.qualificationlevelMasters
dc.type.qualificationlevelMSc
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