An analytical pore-scale, shear stress model for purely viscous non-Newtonian fluids traversing porous media

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dc.contributor.authorCloete M.
dc.contributor.authorSmit G.J.F.
dc.date.accessioned2011-10-13T16:58:17Z
dc.date.available2011-10-13T16:58:17Z
dc.date.issued2011-10-13
dc.description.abstractAn analytical model for incompressible, generalized Newtonian fluids traversing different types of porous media is proposed. This model is based on the volume averaging of the governing equations. Interstitial quantities are obtained through means of a pore-scale model. For flow through porous media, in the Darcy regime, the interstitial fluid-solid interaction component is written in terms of the interstitial wall shear stress. The wall shear stress is obtained by assuming simple velocity profiles in the interstitial channels. Approximations are made in order to obtain explicit expressions for the wall shear stress in terms of the average interstitial channel velocities. The final analytical expressions obtained for predicting the flow through porous media can easily be implemented numerically and allow for a wide variety of practical implementations. Generalized Newtonian fluids traversing a porous structure adjacent to a free-flow domain were modelled numerically. The results for Newtonian fluids were compared to an analytical model from literature. © 2011 Elsevier Inc. All rights reserved.
dc.description.versionArticle in Press
dc.identifier.citationApplied Mathematics and Computation
dc.identifier.citationhttp://www.scopus.com/inward/record.url?eid=2-s2.0-80052657819&partnerID=40&md5=19f24a1d23521562620291949c2975f8
dc.identifier.issn963003
dc.identifier.other10.1016/j.amc.2011.08.060
dc.identifier.urihttp://hdl.handle.net/10019.1/16670
dc.subjectConsolidated porous media
dc.subjectGeneralized Newtonian fluids
dc.subjectNumerical modelling
dc.subjectPorosity jumps
dc.subjectUnconsolidated porous media
dc.subjectVolume averaging
dc.subjectWall shear stress
dc.titleAn analytical pore-scale, shear stress model for purely viscous non-Newtonian fluids traversing porous media
dc.typeArticle in Press
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