The mathematical modelling of heat transfer and fluid flow in cellular metallic foams

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dc.contributor.advisorDu Plessis, J. P.
dc.contributor.authorFourie, Johan George
dc.contributor.otherStellenbosch University. Faculty of Engineering. Dept. of Process Engineering.en_ZA
dc.date.accessioned2012-08-27T11:34:48Z
dc.date.available2012-08-27T11:34:48Z
dc.date.issued2000-12
dc.descriptionDissertation (PhD)--University of Stellenbosch, 2000.en_ZA
dc.description.abstractENGLISH 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.en_ZA
dc.description.abstractAFRIKAANSE 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.af_ZA
dc.format.extent379 p. : ill.
dc.identifier.urihttp://hdl.handle.net/10019.1/51994
dc.language.isoen_ZAen_ZA
dc.publisherStellenbosch : Stellenbosch Universityen_ZA
dc.rights.holderStellenbosch Universityen_ZA
dc.subjectMetal foamsen_ZA
dc.subjectHeat -- Transmission -- Mathematical modelsen_ZA
dc.subjectFluid dynamics -- Mathematical modelsen_ZA
dc.subjectDissertations -- Chemical engineeringen_ZA
dc.subjectTheses -- Chemical engineeringen_ZA
dc.titleThe mathematical modelling of heat transfer and fluid flow in cellular metallic foamsen_ZA
dc.typeThesisen_ZA
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