Solution of bivariate population balance equations using the finite size domain complete set of trial functions method of moments (FCMOM) / Matteo Strumendo in Industrial & engineering chemistry research, Vol. 48 N°1 (Janvier 2009)  

Public ISBD [article]  inIndustrial & engineering chemistry research > Vol. 48 N°1 (Janvier 2009) . - P. 262-273 Titre : Solution of bivariate population balance equations using the finite size domain complete set of trial functions method of moments (FCMOM) Type de document : texte imprimé Auteurs : Matteo Strumendo, Éditeur scientifique ; Hamid Arastoopour, Éditeur scientifique Année de publication : 2009 Article en page(s) : P. 262-273 Note générale : Chemical engineering Langues : Anglais (eng) Mots-clés : FCMOM (Finite size domain Complete set of trial functions Method Of Moments) Résumé : The FCMOM (Finite size domain Complete set of trial functions Method Of Moments) is an efficient and accurate numerical technique to solve PBE (population balance equations) and was validated for monovariate PBE [Strumendo, M.; Arastoopour, H. Solution of PBE by MOM in Finite Size Domains. Chem. Eng. Sci. 2008, 63 (10), 2624]. In the present paper, the FCMOM is extended and used to solve bivariate PBE. In the FCMOM, the method of moments is formulated in a finite domain of the internal coordinates and the particle distribution function is represented as a truncated series expansion by a complete system of orthonormal functions. In the extension to bivariate PBE, the capabilities of the FCMOM are maintained, particularly as far as the algorithm efficiency and the accuracy in the bivariate particle distribution function reconstruction. The FCMOM was validated with the following bivariate applications: particle growth, particle dissolution, particle aggregation, and simultaneous aggregation and growth. En ligne : http://pubs.acs.org/doi/abs/10.1021/ie800272a [article] Solution of bivariate population balance equations using the finite size domain complete set of trial functions method of moments (FCMOM) [texte imprimé] / Matteo Strumendo, Éditeur scientifique ; Hamid Arastoopour, Éditeur scientifique . - 2009 . - P. 262-273. Chemical engineering Langues : Anglais (eng) in Industrial & engineering chemistry research > Vol. 48 N°1 (Janvier 2009) . - P. 262-273 Mots-clés : FCMOM (Finite size domain Complete set of trial functions Method Of Moments) Résumé : The FCMOM (Finite size domain Complete set of trial functions Method Of Moments) is an efficient and accurate numerical technique to solve PBE (population balance equations) and was validated for monovariate PBE [Strumendo, M.; Arastoopour, H. Solution of PBE by MOM in Finite Size Domains. Chem. Eng. Sci. 2008, 63 (10), 2624]. In the present paper, the FCMOM is extended and used to solve bivariate PBE. In the FCMOM, the method of moments is formulated in a finite domain of the internal coordinates and the particle distribution function is represented as a truncated series expansion by a complete system of orthonormal functions. In the extension to bivariate PBE, the capabilities of the FCMOM are maintained, particularly as far as the algorithm efficiency and the accuracy in the bivariate particle distribution function reconstruction. The FCMOM was validated with the following bivariate applications: particle growth, particle dissolution, particle aggregation, and simultaneous aggregation and growth. En ligne : http://pubs.acs.org/doi/abs/10.1021/ie800272a

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Solution of population balance equations by the finite size domain complete set of trial functions method of moments (FCMOM) for inhomogeneous systems / Matteo Strumendo in Industrial & engineering chemistry research, Vol. 49 N° 11 (Juin 2010)  

Public ISBD [article]  inIndustrial & engineering chemistry research > Vol. 49 N° 11 (Juin 2010) . - pp. 5222–5230 Titre : Solution of population balance equations by the finite size domain complete set of trial functions method of moments (FCMOM) for inhomogeneous systems Type de document : texte imprimé Auteurs : Matteo Strumendo, Auteur ; Hamid Arastoopour, Auteur Année de publication : 2010 Article en page(s) : pp. 5222–5230 Note générale : Industrial chemistry Langues : Anglais (eng) Mots-clés : Inhomogeneous Systems Résumé : The FCMOM (finite size domain complete set of trial functions method of moments) is an efficient and accurate numerical technique to solve monovariate and bivariate population balance equations. It was previously formulated for homogeneous systems. In this paper, the FCMOM approach is extended to solve monovariate population balance equations for inhomogeneous (spatially not uniform) systems. In the FCMOM, the method of moments is formulated in a finite domain of the internal coordinates and the particle size distribution function is represented as a truncated series expansion by a complete system of orthonormal functions. The FCMOM is extended to inhomogeneous systems assuming that the particle-phase convective velocity is independent of the internal variables (particle size). The method is illustrated by applications to particle diffusion and to particle convection. In the case of particle convection, a gas−solid dilute flow in a pipe was simulated and the FCMOM equations were coupled with the governing equations (mass and momentum balances) of the gas phase. ISSN : 0888-5885 En ligne : http://pubs.acs.org/doi/abs/10.1021/ie901407x [article] Solution of population balance equations by the finite size domain complete set of trial functions method of moments (FCMOM) for inhomogeneous systems [texte imprimé] / Matteo Strumendo, Auteur ; Hamid Arastoopour, Auteur . - 2010 . - pp. 5222–5230. Industrial chemistry Langues : Anglais (eng) in Industrial & engineering chemistry research > Vol. 49 N° 11 (Juin 2010) . - pp. 5222–5230 Mots-clés : Inhomogeneous Systems Résumé : The FCMOM (finite size domain complete set of trial functions method of moments) is an efficient and accurate numerical technique to solve monovariate and bivariate population balance equations. It was previously formulated for homogeneous systems. In this paper, the FCMOM approach is extended to solve monovariate population balance equations for inhomogeneous (spatially not uniform) systems. In the FCMOM, the method of moments is formulated in a finite domain of the internal coordinates and the particle size distribution function is represented as a truncated series expansion by a complete system of orthonormal functions. The FCMOM is extended to inhomogeneous systems assuming that the particle-phase convective velocity is independent of the internal variables (particle size). The method is illustrated by applications to particle diffusion and to particle convection. In the case of particle convection, a gas−solid dilute flow in a pipe was simulated and the FCMOM equations were coupled with the governing equations (mass and momentum balances) of the gas phase. ISSN : 0888-5885 En ligne : http://pubs.acs.org/doi/abs/10.1021/ie901407x

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