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On the hydrodynamic permeability of foamlike media
Thesis (MScEng (Mathematical Sciences. Applied Mathematics))--University of Stellenbosch, 2006.
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| Format: | Thesis |
| Language: | English |
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Stellenbosch : University of Stellenbosch
2008
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| _version_ | 1867613919081660416 |
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| access_status_str | Open Access |
| author | Wilms, Josefine |
| author2 | Du Plessis, J. P. |
| author_browse | Du Plessis, J. P. Wilms, Josefine |
| author_facet | Du Plessis, J. P. Wilms, Josefine |
| author_sort | Wilms, Josefine |
| collection | Thesis |
| dc_rights_str_mv | University of Stellenbosch |
| description | Thesis (MScEng (Mathematical Sciences. Applied Mathematics))--University of Stellenbosch, 2006. |
| format | Thesis |
| id | oai:scholar.sun.ac.za:10019.1/2960 |
| institution | Stellenbosch University (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:43:47.401Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from SUNScholar — Stellenbosch University Repository |
| publishDate | 2008 |
| publishDateRange | 2008 |
| publishDateSort | 2008 |
| publisher | Stellenbosch : University of Stellenbosch |
| publisherStr | Stellenbosch : University of Stellenbosch |
| record_format | dspace |
| source_str | SUNScholar — Stellenbosch University Repository |
| spelling | oai:scholar.sun.ac.za:10019.1/2960 On the hydrodynamic permeability of foamlike media Wilms, Josefine Du Plessis, J. P. University of Stellenbosch. Faculty of Science. Dept. of Mathematical Sciences. Applied Mathematics. Dissertations -- Applied mathematics Theses -- Applied mathematics Porous materials -- Permeability -- Mathematical models Hydrodynamics Foamed materials -- Permeability -- Mathematical models Thesis (MScEng (Mathematical Sciences. Applied Mathematics))--University of Stellenbosch, 2006. This work entails the improvement of an existing three dimensional pore-scale model. Stagnant zones are included, the closure of the volume averaged pressure gradient is improved and an improved calculation of pore-scale averages, using the RUC, is done for the model to be a more realistic representative of the REV and thus of the foamlike material. Both the Darcy and the Forchheimer regimes are modelled and a general momentum transport equation is derived by means of an asymptotic matching technique. The RUC model is also extended to cover non-Newtonian flow. Since metallic foams are generally of porosities greater than 90%, emphasis is put on the accurate prediction of permeability for these porosities. In order to improve permeability predictions for these high porosity cases an adaptation to the RUC model was considered, whereby rectangular prisms were replaced by cylinders. Although this adaptation appears to give more accurate permeabilities at very high porosities, its implementation in a generalised model seems impractical. The prediction of the characteristic RUC side length is discussed and results of both the cylindrical strand model and the square strand model are compared to experimental work. 2008-08-11T08:17:30Z 2010-06-01T09:02:33Z 2008-08-11T08:17:30Z 2010-06-01T09:02:33Z 2006-03 Thesis http://hdl.handle.net/10019.1/2960 en University of Stellenbosch application/pdf Stellenbosch : University of Stellenbosch |
| spellingShingle | Dissertations -- Applied mathematics Theses -- Applied mathematics Porous materials -- Permeability -- Mathematical models Hydrodynamics Foamed materials -- Permeability -- Mathematical models Wilms, Josefine On the hydrodynamic permeability of foamlike media |
| title | On the hydrodynamic permeability of foamlike media |
| title_full | On the hydrodynamic permeability of foamlike media |
| title_fullStr | On the hydrodynamic permeability of foamlike media |
| title_full_unstemmed | On the hydrodynamic permeability of foamlike media |
| title_short | On the hydrodynamic permeability of foamlike media |
| title_sort | on the hydrodynamic permeability of foamlike media |
| topic | Dissertations -- Applied mathematics Theses -- Applied mathematics Porous materials -- Permeability -- Mathematical models Hydrodynamics Foamed materials -- Permeability -- Mathematical models |
| url | http://hdl.handle.net/10019.1/2960 |
| work_keys_str_mv | AT wilmsjosefine onthehydrodynamicpermeabilityoffoamlikemedia |