Please use this identifier to cite or link to this item: http://hdl.handle.net/10316/44672
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dc.contributor.authorFerreira, José Augusto-
dc.contributor.authorOliveira, Paula de-
dc.contributor.authorSilva, Pascoal-
dc.contributor.authorSimon, Laurent-
dc.date.accessioned2017-11-29T17:11:50Z-
dc.date.available2017-11-29T17:11:50Z-
dc.date.issued2014-
dc.identifier10.1137/140954027-
dc.identifier.urihttp://hdl.handle.net/10316/44672-
dc.description.abstractSimulations show that the kinetics of permeant fluids in viscoelastic matrices depends on the rheological and chemical properties of the material. Fick's law fails to describe transport through viscoelastic materials because of the stress exerted on the incoming fluid which causes a delay. Reversible binding to immobilizing sites also retards permeation of molecules. The effects of mechanical properties and chemical affinities of materials on the transport of solutes are studied. An integro-partial-differential equation is used to model the transport. While the differential part of the equation is represented by an elliptic operator, the integral part describes the contributions of stress and reversible binding. The stability of the model is investigated. The steady-state flux and effective time constant are calculated. The lag time is also studied using multiple integration. Subsequent analyses reveal the dependence of the steady-state flux, the effective time constant, and the lag time on the Young modulus, the viscosity, and the binding/unbinding rates. The results presented in this paper make it possible to tune the mechanical and chemical properties to achieve a desired transport profile.por
dc.language.isoengpor
dc.publisherSociety for Industrial and Applied Mathematics (SIAM)por
dc.relationinfo:eu-repo/grantAgreement/FCT/COMPETE/132981/PTpor
dc.rightsopenAccesspor
dc.titleMolecular Transport in Viscoelastic Materials: Mechanistic Properties and Chemical Affinitiespor
dc.typearticle-
degois.publication.firstPage1598por
degois.publication.lastPage1614por
degois.publication.issue5por
degois.publication.titleSIAM Journal on Applied Mathematicspor
dc.relation.publisherversionhttp://epubs.siam.org/doi/10.1137/140954027por
dc.peerreviewedyespor
dc.identifier.doi10.1137/140954027por
degois.publication.volume74por
uc.controloAutoridadeSim-
item.fulltextCom Texto completo-
item.languageiso639-1en-
item.grantfulltextopen-
crisitem.author.deptFaculdade de Ciências e Tecnologia, Universidade de Coimbra-
crisitem.author.deptFaculdade de Ciências e Tecnologia, Universidade de Coimbra-
crisitem.author.parentdeptUniversidade de Coimbra-
crisitem.author.parentdeptUniversidade de Coimbra-
crisitem.author.researchunitCenter for Mathematics, University of Coimbra-
crisitem.author.researchunitCenter for Mathematics, University of Coimbra-
crisitem.author.orcid0000-0002-5226-2905-
crisitem.author.orcid0000-0001-6634-6651-
Appears in Collections:I&D CMUC - Artigos em Revistas Internacionais
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