A FIRST-ORDER TIME CONSTANT ESTIMATION FOR NONLINEAR DIFFUSION PROBLEMS

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dc.citation.journalTitleCHEMICAL ENGINEERING COMMUNICATIONS
dc.contributor.authorSimon, Laurent
dc.contributor.authorOspina, Juan
dc.contributor.departmentUniversidad EAFIT. Departamento de Cienciasspa
dc.contributor.researchgroupLógica y Computaciónspa
dc.creatorSimon, Laurent
dc.creatorOspina, Juan
dc.date.accessioned2021-03-26T21:32:04Z
dc.date.available2021-03-26T21:32:04Z
dc.date.issued2014-06-03
dc.description.abstractA Laplace transform-based procedure was proposed to calculate the effective time constant for a class of nonlinear diffusion problems. The governing mathematical representation was first estimated with a linear model by omitting the nonlinear term. The solution to this problem was later introduced into the original equation, which was solved with Laplace transforms, resulting in a first-order approximation of the real system's behavior. A time constant was calculated using frequency-domain expressions. Two case studies were considered to illustrate the methodology. As the rate of heat supplied to a rod is raised, the speed at which the temperature reached an equilibrium value decreased. Increasing the maximum velocity in reaction-diffusion transport by a factor of three lowered the time constant by only 1.7%. The applications of this method range from biosensor dynamics to process control. © 2014 Copyright Taylor and Francis Group, LLC.eng
dc.identifierhttps://eafit.fundanetsuite.com/Publicaciones/ProdCientif/PublicacionFrw.aspx?id=1549
dc.identifier.doi10.1080/00986445.2013.785948
dc.identifier.issn00986445
dc.identifier.issn15635201
dc.identifier.otherWOS;000331785900001
dc.identifier.otherSCOPUS;2-s2.0-84894595411
dc.identifier.urihttp://hdl.handle.net/10784/27330
dc.languageeng
dc.publisherTAYLOR & FRANCIS INC
dc.relation.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84894595411&doi=10.1080%2f00986445.2013.785948&partnerID=40&md5=67b451e46cf6ca2a499c9148b5d872fd
dc.rightshttps://v2.sherpa.ac.uk/id/publication/issn/0098-6445
dc.sourceCHEMICAL ENGINEERING COMMUNICATIONS
dc.subjectDiffusioneng
dc.subjectEffective time constanteng
dc.subjectHeat transfereng
dc.subjectKineticseng
dc.subjectMathematical modelingeng
dc.subjectNonlinear dynamicseng
dc.titleA FIRST-ORDER TIME CONSTANT ESTIMATION FOR NONLINEAR DIFFUSION PROBLEMSeng
dc.typearticleeng
dc.typeinfo:eu-repo/semantics/articleeng
dc.typeinfo:eu-repo/semantics/publishedVersioneng
dc.typepublishedVersioneng
dc.type.localArtículospa

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