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

 dc.contributor.advisor Du Plessis, J. P. dc.contributor.author Fourie, Johan George dc.contributor.other Stellenbosch University. Faculty of Engineering. Dept. of Process Engineering. en_ZA dc.date.accessioned 2012-08-27T11:34:48Z dc.date.available 2012-08-27T11:34:48Z dc.date.issued 2000-12 dc.identifier.uri http://hdl.handle.net/10019.1/51994 dc.description Dissertation (PhD)--University of Stellenbosch, 2000. en_ZA dc.description.abstract ENGLISH ABSTRACT: A mathematical model is presented which conceptualises fluid flow and heat transfer in en_ZA 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. dc.description.abstract AFRIKAANSE OPSOMMING: 'n Wiskundige model word voorgestel wat vloei en warmteoordrag voorspel in sellulêre af_ZA 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. dc.format.extent 379 p. : ill. dc.language.iso en_ZA en_ZA dc.publisher Stellenbosch : Stellenbosch University en_ZA dc.subject Metal foams en_ZA dc.subject Heat -- Transmission -- Mathematical models en_ZA dc.subject Fluid dynamics -- Mathematical models en_ZA dc.subject Dissertations -- Chemical engineering en_ZA dc.subject Theses -- Chemical engineering en_ZA dc.title The mathematical modelling of heat transfer and fluid flow in cellular metallic foams en_ZA dc.type Thesis en_ZA dc.rights.holder Stellenbosch University en_ZA
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