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Fast high-resolution method for solving multidimensional population balances in crystallization / Aniruddha Majumder in Industrial & engineering chemistry research, Vol. 49 N° 8 (Avril 2010) 

Public ISBD [article]  in Industrial & engineering chemistry research > Vol. 49 N° 8 (Avril 2010) . - pp. 3862–3872 Titre : Fast high-resolution method for solving multidimensional population balances in crystallization Type de document : texte imprimé Auteurs : Aniruddha Majumder, Auteur ; Vinay Kariwala, Auteur ; Santosh Ansumali, Auteur Année de publication : 2010 Article en page(s) : pp. 3862–3872 Note générale : Industriay Chemistry Langues : Anglais (eng) Mots-clés : Multidimensional  Population  Balances  Crystallization Résumé : High-resolution (HR) finite-volume methods can provide an accurate numerical solution of population balance equations describing crystallization processes. To satisfy the stability requirements, the time step (Δt) for the available HR methods needs to be selected conservatively, rendering them computationally expensive for processes with size-dependent growth rates. In this paper, we propose a coordinate transformation scheme to improve the solution time of HR methods applied to batch crystallization processes with nucleation and size-dependent growth. The coordinate transform takes advantage of the functional form that is used to describe the size dependency of the growth rate. Using benchmark examples, we demonstrate that the proposed method provides a more significant reduction in the solution time than existing HR methods, while retaining the same level of accuracy. ISSN : 0888-5885 En ligne : http://pubs.acs.org/doi/abs/10.1021/ie9016946 [article] Fast high-resolution method for solving multidimensional population balances in crystallization [texte imprimé] / Aniruddha Majumder, Auteur ; Vinay Kariwala, Auteur ; Santosh Ansumali, Auteur . - 2010 . - pp. 3862–3872. Industriay Chemistry Langues : Anglais (eng) in Industrial & engineering chemistry research > Vol. 49 N° 8 (Avril 2010) . - pp. 3862–3872 Mots-clés : Multidimensional  Population  Balances  Crystallization Résumé : High-resolution (HR) finite-volume methods can provide an accurate numerical solution of population balance equations describing crystallization processes. To satisfy the stability requirements, the time step (Δt) for the available HR methods needs to be selected conservatively, rendering them computationally expensive for processes with size-dependent growth rates. In this paper, we propose a coordinate transformation scheme to improve the solution time of HR methods applied to batch crystallization processes with nucleation and size-dependent growth. The coordinate transform takes advantage of the functional form that is used to describe the size dependency of the growth rate. Using benchmark examples, we demonstrate that the proposed method provides a more significant reduction in the solution time than existing HR methods, while retaining the same level of accuracy. ISSN : 0888-5885 En ligne : http://pubs.acs.org/doi/abs/10.1021/ie9016946