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The mathematical modelling of heat transfer and fluid flow in cellular metallic foams
Dissertation (PhD)--University of Stellenbosch, 2000.
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| Other Authors: | |
| Format: | Thesis |
| Language: | en_ZA |
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Stellenbosch : Stellenbosch University
2012
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| _version_ | 1867613786812186624 |
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| access_status_str | Open Access |
| author | Fourie, Johan George |
| author2 | Du Plessis, J. P. |
| author_browse | Du Plessis, J. P. Fourie, Johan George |
| author_facet | Du Plessis, J. P. Fourie, Johan George |
| author_sort | Fourie, Johan George |
| collection | Thesis |
| dc_rights_str_mv | Stellenbosch University |
| description | Dissertation (PhD)--University of Stellenbosch, 2000. |
| format | Thesis |
| id | oai:scholar.sun.ac.za:10019.1/51994 |
| institution | Stellenbosch University (South Africa) |
| language | en_ZA |
| last_indexed | 2026-06-10T12:41:41.074Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from SUNScholar — Stellenbosch University Repository |
| publishDate | 2012 |
| publishDateRange | 2012 |
| publishDateSort | 2012 |
| publisher | Stellenbosch : Stellenbosch University |
| publisherStr | Stellenbosch : Stellenbosch University |
| record_format | dspace |
| source_str | SUNScholar — Stellenbosch University Repository |
| spelling | oai:scholar.sun.ac.za:10019.1/51994 The mathematical modelling of heat transfer and fluid flow in cellular metallic foams Fourie, Johan George Du Plessis, J. P. Stellenbosch University. Faculty of Engineering. Dept. of Process Engineering. Metal foams Heat -- Transmission -- Mathematical models Fluid dynamics -- Mathematical models Dissertations -- Chemical engineering Theses -- Chemical engineering Dissertation (PhD)--University of Stellenbosch, 2000. ENGLISH ABSTRACT: A mathematical model is presented which conceptualises fluid flow and heat transfer in cellular metallic foams completely saturated with a fluid in motion. The model consists of a set of elliptic partial differential governing equations describing, firstly, a momentum balance in the fluid by the spatial distribution of its locally mean velocity, and secondly, an energy balance in the fluid and in the solid matrix of the metallic foam, by the spatial and temporal distribution of their locally mean temperatures. The separate energy balance descriptions for the fluid and the solid matrix extend the application of the model to conditions of thermal equilibrium and thermal non-equilibrium between the fluid and the solid matrix. A computational solution algorithm is presented which allows the universal application of the model to porous domains of arbitrary shape, with spatially and temporally variable heat loads in a variety of forms. AFRIKAANSE OPSOMMING: 'n Wiskundige model word voorgestel wat vloei en warmteoordrag voorspel in sellulêre metaalsponse wat in geheel gevul is deur 'n bewegende vloeier. Die vloeier kan in gasof vloeistoffase verkeer. Die model bestaan uit 'n stel elliptiese parsiële differensiaalvergelykings wat in die eerste plek 'n momentum-ewewig in die vloeier beskryf in terme van 'n ruimtelike, lokaal-gemiddelde snelheidsveld, en wat tweedens 'n energie-ewewig in die vloeier en in die soliede matriks van die metaalspons beskryf in terme van ruimtelike en tydelike lokaal-gemiddelde temperatuur verspreidings. Die aparte energie-ewewig beskrywings vir die vloeier en vir die soliede matriks van die metaalspons brei die aanwending van die model uit na gevalle waar die vloeier en die soliede matriks in termiese ewewig of in termiese onewewig verkeer. 'n Numeriese oplossingsalgoritme word ook voorgestel vir die universele toepassing van die model op ruimtelik-arbitrêre metaalspons geometrië wat onderwerp word aan 'n aantal verskillende ruimtelik-en tydveranderlike termiese laste. Doctoral 2012-08-27T11:34:48Z 2012-08-27T11:34:48Z 2000-12 Thesis http://hdl.handle.net/10019.1/51994 en_ZA Stellenbosch University 379 p. : ill. application/pdf Stellenbosch : Stellenbosch University |
| spellingShingle | Metal foams Heat -- Transmission -- Mathematical models Fluid dynamics -- Mathematical models Dissertations -- Chemical engineering Theses -- Chemical engineering Fourie, Johan George The mathematical modelling of heat transfer and fluid flow in cellular metallic foams |
| title | The mathematical modelling of heat transfer and fluid flow in cellular metallic foams |
| title_full | The mathematical modelling of heat transfer and fluid flow in cellular metallic foams |
| title_fullStr | The mathematical modelling of heat transfer and fluid flow in cellular metallic foams |
| title_full_unstemmed | The mathematical modelling of heat transfer and fluid flow in cellular metallic foams |
| title_short | The mathematical modelling of heat transfer and fluid flow in cellular metallic foams |
| title_sort | mathematical modelling of heat transfer and fluid flow in cellular metallic foams |
| topic | Metal foams Heat -- Transmission -- Mathematical models Fluid dynamics -- Mathematical models Dissertations -- Chemical engineering Theses -- Chemical engineering |
| url | http://hdl.handle.net/10019.1/51994 |
| work_keys_str_mv | AT fouriejohangeorge themathematicalmodellingofheattransferandfluidflowincellularmetallicfoams AT fouriejohangeorge mathematicalmodellingofheattransferandfluidflowincellularmetallicfoams |