Non-Newtonian purely viscous flow through isotropic granular porous media

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dc.contributor.authorWoudberg S.
dc.contributor.authorDu Plessis J.P.
dc.contributor.authorSmit G.J.F.
dc.date.accessioned2011-05-15T15:59:00Z
dc.date.available2011-05-15T15:59:00Z
dc.date.issued2006
dc.description.abstractAn analytical model for predicting non-Newtonian purely viscous power law flow through isotropic granular porous media is proposed. Application of the method of volume averaging leads to macroscopic momentum transport equations describing the physical flow phenomena within the porous medium. The geometrical properties of the granular porous medium are incorporated through the introduction of a rectangular representative unit cell model. The relative positioning of neighbouring cells leads to staggered- and non-staggered arrays of solid constituents. Volume partitioning of the flow domain allows for the tortuosity to be expressed as a ratio of fluid volumes. In order to support the assumption of average geometrical isotropy of the unit cell model, a weighted average is performed over the different arrays. The coefficient obtained from the averaging procedure is based purely on physical principles. Through application of an asymptotic matching technique, the proposed model produces pressure gradient predictions for Reynolds numbers within the entire laminar flow regime. The analytical model is compared to published experimental data to verify the validity of the model. © 2006 Elsevier Ltd. All rights reserved.
dc.description.versionArticle
dc.identifier.citationChemical Engineering Science
dc.identifier.citation61
dc.identifier.citation13
dc.identifier.issn92509
dc.identifier.other10.1016/j.ces.2006.01.054
dc.identifier.urihttp://hdl.handle.net/10019.1/10950
dc.subjectGranular materials
dc.subjectLaminar flow
dc.subjectMathematical models
dc.subjectPorous materials
dc.subjectPressure drop
dc.subjectReynolds number
dc.subjectViscous flow
dc.subjectGeometrical isotropy
dc.subjectGranular porous media
dc.subjectIsotropic
dc.subjectPower law
dc.subjectNon Newtonian flow
dc.subjectGranular materials
dc.subjectLaminar flow
dc.subjectMathematical models
dc.subjectNon Newtonian flow
dc.subjectPorous materials
dc.subjectPressure drop
dc.subjectReynolds number
dc.subjectViscous flow
dc.titleNon-Newtonian purely viscous flow through isotropic granular porous media
dc.typeArticle
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