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Quadrature - based moment model for moderately dense polydisperse gas − particle flows / Rodney O. Fox in Industrial & engineering chemistry research, Vol. 49 N° 11 (Juin 2010) 

Public ISBD [article]  in Industrial & engineering chemistry research > Vol. 49 N° 11 (Juin 2010) . - pp. 5174–5187 Titre : Quadrature - based moment model for moderately dense polydisperse gas − particle flows Type de document : texte imprimé Auteurs : Rodney O. Fox, Auteur ; Prakash Vedula, Auteur Année de publication : 2010 Article en page(s) : pp. 5174–5187 Note générale : Industrial chemistry Langues : Anglais (eng) Mots-clés : Gas  particle  flows Résumé : A quadrature-based moment model is derived for moderately dense polydisperse gas−particle flows starting from the inelastic Boltzmann−Enskog kinetic equation including terms for particle acceleration (e.g., gravity and fluid drag). The derivation is carried out for the joint number density function, f(t,x,m,u), of particle mass and velocity, and thus, the model can describe the transport of polydisperse particles with size and density differences. The transport equations for the integer moments of the velocity distribution function are derived in exact form for all values of the coefficient of restitution for particle−particle collisions. For particular limiting cases, the moment model is shown to be consistent with hydrodynamic models for gas−particle flows. However, the moment model is more general than the hydrodynamic models because its derivation does not require that the particle Knudsen number (and Mach number) be small. ISSN : 0888-5885 En ligne : http://pubs.acs.org/doi/abs/10.1021/ie9013138 [article] Quadrature - based moment model for moderately dense polydisperse gas − particle flows [texte imprimé] / Rodney O. Fox, Auteur ; Prakash Vedula, Auteur . - 2010 . - pp. 5174–5187. Industrial chemistry Langues : Anglais (eng) in Industrial & engineering chemistry research > Vol. 49 N° 11 (Juin 2010) . - pp. 5174–5187 Mots-clés : Gas  particle  flows Résumé : A quadrature-based moment model is derived for moderately dense polydisperse gas−particle flows starting from the inelastic Boltzmann−Enskog kinetic equation including terms for particle acceleration (e.g., gravity and fluid drag). The derivation is carried out for the joint number density function, f(t,x,m,u), of particle mass and velocity, and thus, the model can describe the transport of polydisperse particles with size and density differences. The transport equations for the integer moments of the velocity distribution function are derived in exact form for all values of the coefficient of restitution for particle−particle collisions. For particular limiting cases, the moment model is shown to be consistent with hydrodynamic models for gas−particle flows. However, the moment model is more general than the hydrodynamic models because its derivation does not require that the particle Knudsen number (and Mach number) be small. ISSN : 0888-5885 En ligne : http://pubs.acs.org/doi/abs/10.1021/ie9013138