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Application of space – time CE/SE method for solving gas – solid reaction and chemotaxis models / Shamsul Qamar in Industrial & engineering chemistry research, Vol. 51 N° 26 (Juillet 2012) 

Public ISBD [article]  in Industrial & engineering chemistry research > Vol. 51 N° 26 (Juillet 2012) . - pp. 9173-9185 Titre : Application of space – time CE/SE method for solving gas – solid reaction and chemotaxis models Type de document : texte imprimé Auteurs : Shamsul Qamar, Auteur ; Waqas Ashraf, Auteur Année de publication : 2012 Article en page(s) : pp. 9173-9185 Note générale : Industrial chemistry Langues : Anglais (eng) Mots-clés : Modeling  Gas  solid  reaction Résumé : This work is concerned with the simulation of two different convection―diffusion―reaction type partial differential equations. The first one is the one-dimensional heterogeneous gas―solid reaction model encountered in a variety of chemical engineering problems. The exothermic nature of such reactions enlarges the gradients of temperature and concentrations that generate steep reaction fronts. The second one is the two-dimensional Keller―Segel model of the chemotaxis that generates delta-type singularities in the solution during a finite time. In its simplest form, the model is a nonlinear-coupled system of the convection-diffusion equation for the cell density and the reaction―diffusion equation for the chemoattractant concentration. The space-time conservation element and solution element (CE/SE) method is proposed for approximating both systems. The method has capabilities to capture sharp discontinuities of the solutions without spurious oscillations. To validate the accuracy and efficiency of the method, several case studies are carried out. The results of the current method are compared with the staggered central schemes. ISSN : 0888-5885 En ligne : http://cat.inist.fr/?aModele=afficheN&cpsidt=26107475 [article] Application of space – time CE/SE method for solving gas – solid reaction and chemotaxis models [texte imprimé] / Shamsul Qamar, Auteur ; Waqas Ashraf, Auteur . - 2012 . - pp. 9173-9185. Industrial chemistry Langues : Anglais (eng) in Industrial & engineering chemistry research > Vol. 51 N° 26 (Juillet 2012) . - pp. 9173-9185 Mots-clés : Modeling  Gas  solid  reaction Résumé : This work is concerned with the simulation of two different convection―diffusion―reaction type partial differential equations. The first one is the one-dimensional heterogeneous gas―solid reaction model encountered in a variety of chemical engineering problems. The exothermic nature of such reactions enlarges the gradients of temperature and concentrations that generate steep reaction fronts. The second one is the two-dimensional Keller―Segel model of the chemotaxis that generates delta-type singularities in the solution during a finite time. In its simplest form, the model is a nonlinear-coupled system of the convection-diffusion equation for the cell density and the reaction―diffusion equation for the chemoattractant concentration. The space-time conservation element and solution element (CE/SE) method is proposed for approximating both systems. The method has capabilities to capture sharp discontinuities of the solutions without spurious oscillations. To validate the accuracy and efficiency of the method, several case studies are carried out. The results of the current method are compared with the staggered central schemes. ISSN : 0888-5885 En ligne : http://cat.inist.fr/?aModele=afficheN&cpsidt=26107475