Abstract
Original language | English |
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Pages (from-to) | 3862-3872 |
Number of pages | 11 |
Journal | Industrial & Engineering Chemistry Research |
Volume | 49 |
Issue number | 8 |
Early online date | 24 Mar 2010 |
DOIs | |
Publication status | Published - 21 Apr 2010 |
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Fast high-resolution method for solving multidimensional population balances in crystallization. / Majumder, Aniruddha; Kariwala, Vinay; Ansumali, Santosh; Rajendran, Arvind.
In: Industrial & Engineering Chemistry Research, Vol. 49, No. 8, 21.04.2010, p. 3862-3872.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Fast high-resolution method for solving multidimensional population balances in crystallization
AU - Majumder, Aniruddha
AU - Kariwala, Vinay
AU - Ansumali, Santosh
AU - Rajendran, Arvind
N1 - Acknowledgment The authors gratefully acknowledge financial support from Nanyang Technological University, Singapore, through Grant RG25/07.
PY - 2010/4/21
Y1 - 2010/4/21
N2 - 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 (∆t) 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
AB - 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 (∆t) 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
U2 - 10.1021/ie9016946
DO - 10.1021/ie9016946
M3 - Article
VL - 49
SP - 3862
EP - 3872
JO - Industrial & Engineering Chemistry Research
JF - Industrial & Engineering Chemistry Research
SN - 0888-5885
IS - 8
ER -