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Pore-scale modelling for fluid transport in 2D porous media
Thesis (MScEng (Applied Mathematics))--University of Stellenbosch, 2006.
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| Other Authors: | |
| Format: | Thesis |
| Language: | English |
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Stellenbosch : University of Stellenbosch
2008
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| _version_ | 1867613847755423744 |
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| access_status_str | Open Access |
| author | Cloete, Maret |
| author2 | Du Plessis, J. P. |
| author_browse | Cloete, Maret Du Plessis, J. P. |
| author_facet | Du Plessis, J. P. Cloete, Maret |
| author_sort | Cloete, Maret |
| collection | Thesis |
| dc_rights_str_mv | University of Stellenbosch |
| description | Thesis (MScEng (Applied Mathematics))--University of Stellenbosch, 2006. |
| format | Thesis |
| id | oai:scholar.sun.ac.za:10019.1/2490 |
| institution | Stellenbosch University (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:42:38.497Z |
| 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:10019.1/2490 Pore-scale modelling for fluid transport in 2D porous media Cloete, Maret Du Plessis, J. P. University of Stellenbosch. Faculty of Science. Dept. of Mathematical Sciences. Applied Mathematics. Dissertations -- Applied mathematics Theses -- Applied mathematics Fluid dynamics -- Mathematical models Viscous flow -- Mathematical models Porous materials -- Fluid dynamics -- Mathematical models Thesis (MScEng (Applied Mathematics))--University of Stellenbosch, 2006. In the present study, a model to predict the hydrodynamic permeability of viscous flow through an array of solid phase rectangles of any aspect ratio is derived. This also involves different channel widths in the streamwise and the transverse flow directions which may be chosen irrespectively to the rectangular shape itself. It is shown how, with the necessary care taken during description of the interstitial geometry, a volume averaged approach can be used to obtain results identical to a direct method. Insight into the physical situation is gained during the modelling of the two-dimensional interstitial flow processes and resulting pressure distributions and this may prove valuable when the volume averaging method is applied to more complex three-dimensional cases. The analytical results show close correspondence to numerical calculations, except in the higher porosity range for which a more realistic model is needed. Tortuosity is studied together with its inverse. Correspondences and differences regarding the definitions for the average straightness of pathlines, expressed in literature, are examined. A new definition, allowing different channel widths in the streamwise and the transverse flow directions, for the tortuosity is derived from first principles. A general relation between newly derived permeability and tortuosity expressions was obtained. This equation incorporates many possible geometrical features for a two-dimensional unit cell for granules. Three possible staggering configurations of the solid phase along the streamwise direction are also included in this relation. 2008-01-24T12:38:54Z 2010-06-01T08:50:10Z 2008-01-24T12:38:54Z 2010-06-01T08:50:10Z 2006-12 Thesis http://hdl.handle.net/10019.1/2490 en University of Stellenbosch 1248516 bytes application/pdf application/pdf Stellenbosch : University of Stellenbosch |
| spellingShingle | Dissertations -- Applied mathematics Theses -- Applied mathematics Fluid dynamics -- Mathematical models Viscous flow -- Mathematical models Porous materials -- Fluid dynamics -- Mathematical models Cloete, Maret Pore-scale modelling for fluid transport in 2D porous media |
| title | Pore-scale modelling for fluid transport in 2D porous media |
| title_full | Pore-scale modelling for fluid transport in 2D porous media |
| title_fullStr | Pore-scale modelling for fluid transport in 2D porous media |
| title_full_unstemmed | Pore-scale modelling for fluid transport in 2D porous media |
| title_short | Pore-scale modelling for fluid transport in 2D porous media |
| title_sort | pore scale modelling for fluid transport in 2d porous media |
| topic | Dissertations -- Applied mathematics Theses -- Applied mathematics Fluid dynamics -- Mathematical models Viscous flow -- Mathematical models Porous materials -- Fluid dynamics -- Mathematical models |
| url | http://hdl.handle.net/10019.1/2490 |
| work_keys_str_mv | AT cloetemaret porescalemodellingforfluidtransportin2dporousmedia |