Estimation of large domain Al foam permeability by Finite Difference methods

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dc.citation.epage248spa
dc.citation.issue1spa
dc.citation.journalTitlePAMMeng
dc.citation.journalTitlePAMMspa
dc.citation.spage247spa
dc.citation.volume13spa
dc.contributor.authorOsorno, María
dc.contributor.authorSteeb, Holger
dc.contributor.authorUribe, David
dc.contributor.authorRuíz, Óscar
dc.contributor.departmentUniversidad EAFIT. Departamento de Ingeniería Mecánicaspa
dc.contributor.researchgroupLaboratorio CAD/CAM/CAEspa
dc.date.accessioned2016-11-18T21:54:17Z
dc.date.available2016-11-18T21:54:17Z
dc.date.issued2013
dc.description.abstractClassical methods to calculate permeability of porous media have been proposed mainly for high density (e.g. granular) materials -- These methods present shortcomings in high porosity, i.e. high permeability media (e.g. metallic foams) -- While for dense materials permeability seems to be a function of bulk properties and occupancy averaged over the volume, for highly porous materials these parameters fail to predict it -- Several authors have attacked the problem by solving the Navier-Stokes equations for the pressure and velocity of a liquid flowing through a small domain (Ωs) of aluminium foam and by comparing the numerical results with experimental values (prediction error approx. 9%) -- In this article, we present calculations for much larger domains (ΩL) using the Finite Difference (FD) method, solving also for the pressure and velocity of a viscous liquid flowing through the Packed Spheres scenario -- The ratio Vol(ΩL)/Vol(Ωs) is around 103 -- The comparison of our results with the Packed Spheres example yields a prediction error of 5% for the intrinsic permeability -- Additionally, numerical permeability calculations have been performed for Al foam samples -- Our geometric modelling of the porous domain stems from 3D X-ray tomography, yielding voxel information, which is particularly appropriate for FD -- Ongoing work concerns the reduction in computing times of the FD method, consideration of other materials and fluids, and comparison with experimental dataeng
dc.formatapplication/pdfeng
dc.identifier.doi10.1002/pamm.201310119
dc.identifier.issn1617-7061
dc.identifier.urihttp://hdl.handle.net/10784/9667
dc.language.isoengeng
dc.publisherWILEY-VCH Verlagspa
dc.relation.ispartofPAMM, Volume 13, Issue 1, pp 247-248spa
dc.relation.urihttp://onlinelibrary.wiley.com/doi/10.1002/pamm.201310119/abstract
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.rights.localAcceso cerradospa
dc.subject.keywordNavier-stokes equationsspa
dc.subject.keywordStochastic processesspa
dc.subject.keywordFinite element methodspa
dc.subject.keywordTomography, X-ray computedspa
dc.subject.keywordPorosityspa
dc.subject.keywordPermeabilityspa
dc.subject.keywordNumerical calculationsspa
dc.subject.keywordDarcy's lawspa
dc.subject.keywordMathematical analysisspa
dc.subject.keywordNavier-stokes equationseng
dc.subject.keywordStochastic processeseng
dc.subject.keywordFinite element methodeng
dc.subject.keywordTomographyeng
dc.subject.keywordX-ray computedeng
dc.subject.keywordPorosityeng
dc.subject.keywordPermeabilityeng
dc.subject.keywordNumerical calculationseng
dc.subject.keywordDarcy's laweng
dc.subject.keywordMathematical analysiseng
dc.subject.keywordModelado geométrico.keywor
dc.subject.keywordEcuación de Boltzmann.keywor
dc.subject.lembECUACIONES DE NAVIER - STOKESspa
dc.subject.lembPROCESOS ESTOCÁSTICOSspa
dc.subject.lembMÉTODO DE ELEMENTOS FINITOSspa
dc.subject.lembTOMOGRAFÍA COMPUTARIZADA POR RAYOS Xspa
dc.subject.lembPOROSIDADspa
dc.subject.lembPERMEABILIDADspa
dc.subject.lembCÁLCULO NUMÉRICOspa
dc.subject.lembLEY DE DARCYspa
dc.subject.lembANÁLISIS MATEMÁTICOspa
dc.titleEstimation of large domain Al foam permeability by Finite Difference methodseng
dc.typeinfo:eu-repo/semantics/articleeng
dc.typearticleeng
dc.typeinfo:eu-repo/semantics/publishedVersioneng
dc.typepublishedVersioneng
dc.type.localArtículospa

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