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Some theoretical aspects of fibre suspension flows
Bibliography: leaves 77-82.
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| Other Authors: | |
| Format: | Thesis |
| Language: | English |
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Department of Mathematics and Applied Mathematics
2014
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| _version_ | 1867613224406351872 |
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| access_status_str | Open Access |
| author | Diatezua, Jacquie Kiangebeni |
| author2 | Reddy, Daya |
| author_browse | Diatezua, Jacquie Kiangebeni Reddy, Daya |
| author_facet | Reddy, Daya Diatezua, Jacquie Kiangebeni |
| author_sort | Diatezua, Jacquie Kiangebeni |
| collection | Thesis |
| description | Bibliography: leaves 77-82. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/9707 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:32:44.899Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2014 |
| publishDateRange | 2014 |
| publishDateSort | 2014 |
| publisher | Department of Mathematics and Applied Mathematics |
| publisherStr | Department of Mathematics and Applied Mathematics |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/9707 Some theoretical aspects of fibre suspension flows Diatezua, Jacquie Kiangebeni Reddy, Daya Applied Mathematics Bibliography: leaves 77-82. This thesis is concerned with properties of equations governing fibre suspensions. Of particular interest is the extent to which solutions, and their properties, depend on the type of closure used. For this purpose two closure rules are investigated: the linear and the quadratic closures. We show that the equations are consistent with the second law of thermodynamics, or dissipation inequality, when the quadratic closure is used. When the linear closure is used, a sufficient condition for consistency is that the particle number Np satisfies Np ≤ 35/2. Likewise, flows are found to be monotonically stable for the quadratic closure, and for the linear closure with Np ≤ 35/2. The second part of the thesis is concerned with one-dimensional problems, and their solution by finite element. The hyperbolic nature of the evolution equation for the orientation tensor necessitates a modification of the standard Galerkin-based approach. We investigate the conditions under which convergence is obtained, for unidirectional flows, with the use of the Streamline Upwind (SU) method, and the Streamline upwind Petrov/Galerkin (SUPG) method. 2014-11-18T17:04:11Z 2014-11-18T17:04:11Z 1999 Master Thesis Masters MSc http://hdl.handle.net/11427/9707 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town |
| spellingShingle | Applied Mathematics Diatezua, Jacquie Kiangebeni Some theoretical aspects of fibre suspension flows |
| thesis_degree_str | Master's |
| title | Some theoretical aspects of fibre suspension flows |
| title_full | Some theoretical aspects of fibre suspension flows |
| title_fullStr | Some theoretical aspects of fibre suspension flows |
| title_full_unstemmed | Some theoretical aspects of fibre suspension flows |
| title_short | Some theoretical aspects of fibre suspension flows |
| title_sort | some theoretical aspects of fibre suspension flows |
| topic | Applied Mathematics |
| url | http://hdl.handle.net/11427/9707 |
| work_keys_str_mv | AT diatezuajacquiekiangebeni sometheoreticalaspectsoffibresuspensionflows |