[article]
Titre : |
Comparison of FEM and DPB numerical methodologies for dynamic modeling of isothermal batch gibbsite crystallization |
Type de document : |
texte imprimé |
Auteurs : |
Andrey V. Bekker, Auteur ; Tian S. Li, Auteur ; Iztok Livk, Auteur |
Année de publication : |
2011 |
Article en page(s) : |
pp. 3994-4002 |
Note générale : |
Chimie industrielle |
Langues : |
Anglais (eng) |
Mots-clés : |
Crystallization Batchwise Modeling Dynamic model |
Résumé : |
A population balance equation based dynamic gibbsite crystallization model, incorporating crystal growth, nucleation, and agglomeration, was solved using two different numerical techniques, namely, a fully implicit finite element method (FEM) and an explicit discretized population balance (DPB) numerical scheme. Unlike previous crystallization modeling approaches, the agglomeration model in the FEM framework was formulated based on the Safronov agglomeration equation and its partial differential equation (PDE) approximation [Bekker, A. V.; Livk, I. Agglomeration process modeling based on a PDE approximation of the Safronov agglomeration equation. Ind. Eng. Chem. Res. 2011, in press. The FEM numerical solution is implemented using a fully implicit Newton's method Galerkin finite element algorithm, which applies automatic Gear-type time-step and nonuniform adaptive mesh strategies to help optimal solution convergence. The dynamic FEM and DPB model predictions of isothermal gibbsite crystallization, using estimated kinetic parameters, are validated against experimental crystallization data that were generated under process conditions relevant to Bayer gibbsite crystallization. Additional modeling results obtained for a modified set of kinetic parameters, prolonged crystallization times, and more complex crystal size distributions show that the novel FEM-based crystallization modeling framework offers a more accurate and computationally efficient model solution than that based on the DPB approach. |
DEWEY : |
660 |
ISSN : |
0888-5885 |
En ligne : |
http://cat.inist.fr/?aModele=afficheN&cpsidt=24027646 |
in Industrial & engineering chemistry research > Vol. 50 N° 7 (Avril 2011) . - pp. 3994-4002
[article] Comparison of FEM and DPB numerical methodologies for dynamic modeling of isothermal batch gibbsite crystallization [texte imprimé] / Andrey V. Bekker, Auteur ; Tian S. Li, Auteur ; Iztok Livk, Auteur . - 2011 . - pp. 3994-4002. Chimie industrielle Langues : Anglais ( eng) in Industrial & engineering chemistry research > Vol. 50 N° 7 (Avril 2011) . - pp. 3994-4002
Mots-clés : |
Crystallization Batchwise Modeling Dynamic model |
Résumé : |
A population balance equation based dynamic gibbsite crystallization model, incorporating crystal growth, nucleation, and agglomeration, was solved using two different numerical techniques, namely, a fully implicit finite element method (FEM) and an explicit discretized population balance (DPB) numerical scheme. Unlike previous crystallization modeling approaches, the agglomeration model in the FEM framework was formulated based on the Safronov agglomeration equation and its partial differential equation (PDE) approximation [Bekker, A. V.; Livk, I. Agglomeration process modeling based on a PDE approximation of the Safronov agglomeration equation. Ind. Eng. Chem. Res. 2011, in press. The FEM numerical solution is implemented using a fully implicit Newton's method Galerkin finite element algorithm, which applies automatic Gear-type time-step and nonuniform adaptive mesh strategies to help optimal solution convergence. The dynamic FEM and DPB model predictions of isothermal gibbsite crystallization, using estimated kinetic parameters, are validated against experimental crystallization data that were generated under process conditions relevant to Bayer gibbsite crystallization. Additional modeling results obtained for a modified set of kinetic parameters, prolonged crystallization times, and more complex crystal size distributions show that the novel FEM-based crystallization modeling framework offers a more accurate and computationally efficient model solution than that based on the DPB approach. |
DEWEY : |
660 |
ISSN : |
0888-5885 |
En ligne : |
http://cat.inist.fr/?aModele=afficheN&cpsidt=24027646 |
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