On the hydrodynamic permeability of foamlike media

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dc.contributor.advisorDu Plessis, J. P.
dc.contributor.authorWilms, Josefine
dc.contributor.otherUniversity of Stellenbosch. Faculty of Science. Dept. of Mathematical Sciences. Applied Mathematics.
dc.date.accessioned2008-08-11T08:17:30Zen_ZA
dc.date.accessioned2010-06-01T09:02:33Z
dc.date.available2008-08-11T08:17:30Zen_ZA
dc.date.available2010-06-01T09:02:33Z
dc.date.issued2006-03
dc.descriptionThesis (MScEng (Mathematical Sciences. Applied Mathematics))--University of Stellenbosch, 2006.
dc.description.abstractThis 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.en
dc.identifier.urihttp://hdl.handle.net/10019.1/2960
dc.language.isoen
dc.publisherStellenbosch : University of Stellenbosch
dc.rights.holderUniversity of Stellenbosch
dc.subjectDissertations -- Applied mathematicsen
dc.subjectTheses -- Applied mathematicsen
dc.subjectPorous materials -- Permeability -- Mathematical modelsen
dc.subjectHydrodynamicsen
dc.subjectFoamed materials -- Permeability -- Mathematical modelsen
dc.titleOn the hydrodynamic permeability of foamlike mediaen
dc.typeThesis
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