Publicación: A FIRST-ORDER TIME CONSTANT ESTIMATION FOR NONLINEAR DIFFUSION PROBLEMS
| dc.citation.journalTitle | CHEMICAL ENGINEERING COMMUNICATIONS | |
| dc.contributor.author | Simon, Laurent | |
| dc.contributor.author | Ospina, Juan | |
| dc.contributor.department | Universidad EAFIT. Departamento de Ciencias | spa |
| dc.contributor.researchgroup | Lógica y Computación | spa |
| dc.date.accessioned | 2021-03-26T21:32:04Z | |
| dc.date.available | 2021-03-26T21:32:04Z | |
| dc.date.issued | 2014-06-03 | |
| dc.description.abstract | A 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.identifier | https://eafit.fundanetsuite.com/Publicaciones/ProdCientif/PublicacionFrw.aspx?id=1549 | |
| dc.identifier.doi | 10.1080/00986445.2013.785948 | |
| dc.identifier.issn | 00986445 | |
| dc.identifier.issn | 15635201 | |
| dc.identifier.other | WOS;000331785900001 | |
| dc.identifier.other | SCOPUS;2-s2.0-84894595411 | |
| dc.identifier.uri | https://hdl.handle.net/10784/27330 | |
| dc.language.iso | eng | |
| dc.publisher | TAYLOR & FRANCIS INC | |
| dc.relation.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-84894595411&doi=10.1080%2f00986445.2013.785948&partnerID=40&md5=67b451e46cf6ca2a499c9148b5d872fd | |
| dc.rights | https://v2.sherpa.ac.uk/id/publication/issn/0098-6445 | |
| dc.source | CHEMICAL ENGINEERING COMMUNICATIONS | |
| dc.subject | Diffusion | eng |
| dc.subject | Effective time constant | eng |
| dc.subject | Heat transfer | eng |
| dc.subject | Kinetics | eng |
| dc.subject | Mathematical modeling | eng |
| dc.subject | Nonlinear dynamics | eng |
| dc.title | A FIRST-ORDER TIME CONSTANT ESTIMATION FOR NONLINEAR DIFFUSION PROBLEMS | |
| dc.type | info:eu-repo/semantics/article | |
| dc.type.coarversion | http://purl.org/coar/resource_type/c_6501 | |
| dc.type.local | Artículo | spa |
| dc.type.redcol | http://purl.org/redcol/resource_type/ARTREF | |
| dc.type.version | info:eu-repo/semantics/publishedVersion | |
| dspace.entity.type | Publication |
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