Fast high-resolution method for solving multidimensional population balances in crystallization

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 -