Full Text Available
Note: Clicking the button above will open the full text document at the original institutional repository in a new window.
Finite element analysis of eigenvalue problems in the stability of fluid motions
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...
Saved in:
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Thesis |
| Language: | English |
| Published: |
Not Specified
2024
|
| Subjects: | |
| Tags: |
No Tags, Be the first to tag this record!
|
| _version_ | 1867614212634705920 |
|---|---|
| access_status_str | Open Access |
| author | Du Toit, Helena |
| author2 | Reddy, B. D |
| author_browse | Du Toit, Helena Reddy, B. D |
| author_facet | Reddy, B. D Du Toit, Helena |
| author_sort | Du Toit, Helena |
| collection | Thesis |
| description | 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. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/40475 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:48:27.545Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2024 |
| publishDateRange | 2024 |
| publishDateSort | 2024 |
| publisher | Not Specified |
| publisherStr | Not Specified |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/40475 Finite element analysis of eigenvalue problems in the stability of fluid motions Du Toit, Helena Reddy, B. D Applied Mathematics 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. 2024-07-23T13:13:18Z 2024-07-23T13:13:18Z 1986 2024-07-22T12:59:55Z Thesis / Dissertation Masters MSc http://hdl.handle.net/11427/40475 eng application/pdf Not Specified Not Specified |
| spellingShingle | Applied Mathematics Du Toit, Helena Finite element analysis of eigenvalue problems in the stability of fluid motions |
| thesis_degree_str | Master's |
| title | Finite element analysis of eigenvalue problems in the stability of fluid motions |
| title_full | Finite element analysis of eigenvalue problems in the stability of fluid motions |
| title_fullStr | Finite element analysis of eigenvalue problems in the stability of fluid motions |
| title_full_unstemmed | Finite element analysis of eigenvalue problems in the stability of fluid motions |
| title_short | Finite element analysis of eigenvalue problems in the stability of fluid motions |
| title_sort | finite element analysis of eigenvalue problems in the stability of fluid motions |
| topic | Applied Mathematics |
| url | http://hdl.handle.net/11427/40475 |
| work_keys_str_mv | AT dutoithelena finiteelementanalysisofeigenvalueproblemsinthestabilityoffluidmotions |