Solution of a Cattaneo-Maxwell diffusion model using a Spectral element least-squares method / A. R. Carella in Journal of natural gas science and engineering, Vol. 2 N° 5 (Novembre 2010)  

Public ISBD [article]  inJournal of natural gas science and engineering > Vol. 2 N° 5 (Novembre 2010) . - pp. 253–258 Titre : Solution of a Cattaneo-Maxwell diffusion model using a Spectral element least-squares method Type de document : texte imprimé Auteurs : A. R. Carella, Auteur ; C. A. Dorao, Auteur Année de publication : 2012 Article en page(s) : pp. 253–258 Note générale : Génie Chimique Langues : Anglais (eng) Mots-clés : Hyperbolic diffusion equation Finite element Cattaneo-Maxwell Least squares method Résumé : Fluidized bed reactors are widely used in gas processing facilities due to their superior heat and mass transfer characteristics. Reaction rates in these reactors depend on the diffusion of species into the catalytic particles. A more accurate description of diffusion than Fick’s law provides is required for the optimization of the design of these reactors. In this work, a Least Squares Finite Element framework was implemented in order to solve the evolution of the concentration profile predicted by Cattaneo-Maxwell’s law inside a catalytic pellet. Fick’s and Cattaneo-Maxwell’s models were compared, being the obtained predictions significantly different for time scales similar to the relaxation time but converging asymptotically for larger time scales. Time-marching and full-domain numerical approaches were compared. The convenience of the time-marching approach was verified, since this approach yields the same accuracy with less computational cost. ISSN : 1875-5100 En ligne : http://www.sciencedirect.com/science/article/pii/S1875510010000648 [article] Solution of a Cattaneo-Maxwell diffusion model using a Spectral element least-squares method [texte imprimé] / A. R. Carella, Auteur ; C. A. Dorao, Auteur . - 2012 . - pp. 253–258. Génie Chimique Langues : Anglais (eng) in Journal of natural gas science and engineering > Vol. 2 N° 5 (Novembre 2010) . - pp. 253–258 Mots-clés : Hyperbolic diffusion equation Finite element Cattaneo-Maxwell Least squares method Résumé : Fluidized bed reactors are widely used in gas processing facilities due to their superior heat and mass transfer characteristics. Reaction rates in these reactors depend on the diffusion of species into the catalytic particles. A more accurate description of diffusion than Fick’s law provides is required for the optimization of the design of these reactors. In this work, a Least Squares Finite Element framework was implemented in order to solve the evolution of the concentration profile predicted by Cattaneo-Maxwell’s law inside a catalytic pellet. Fick’s and Cattaneo-Maxwell’s models were compared, being the obtained predictions significantly different for time scales similar to the relaxation time but converging asymptotically for larger time scales. Time-marching and full-domain numerical approaches were compared. The convenience of the time-marching approach was verified, since this approach yields the same accuracy with less computational cost. ISSN : 1875-5100 En ligne : http://www.sciencedirect.com/science/article/pii/S1875510010000648

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