Pore-scale modelling for fluid transport in 2D porous media

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dc.contributor.advisor Du Plessis, J. P.
dc.contributor.author Cloete, Maret
dc.contributor.other University of Stellenbosch. Faculty of Science. Dept. of Mathematical Sciences. Applied Mathematics.
dc.date.accessioned 2008-01-24T12:38:54Z en_ZA
dc.date.accessioned 2010-06-01T08:50:10Z
dc.date.available 2008-01-24T12:38:54Z en_ZA
dc.date.available 2010-06-01T08:50:10Z
dc.date.issued 2006-12
dc.identifier.uri http://hdl.handle.net/10019.1/2490
dc.description Thesis (MScEng (Applied Mathematics))--University of Stellenbosch, 2006.
dc.description.abstract 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. en
dc.format.extent 1248516 bytes en_ZA
dc.format.mimetype application/pdf en_ZA
dc.language.iso en
dc.publisher Stellenbosch : University of Stellenbosch
dc.subject Dissertations -- Applied mathematics en
dc.subject Theses -- Applied mathematics en
dc.subject Fluid dynamics -- Mathematical models en
dc.subject Viscous flow -- Mathematical models en
dc.subject Porous materials -- Fluid dynamics -- Mathematical models en
dc.title Pore-scale modelling for fluid transport in 2D porous media en
dc.type Thesis
dc.rights.holder University of Stellenbosch
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