Reversible crystal growth-dissolution and aggregation-breakage: numerical and moment solutions for population balance equations

被引:48
作者
Madras, G [1 ]
McCoy, BJ
机构
[1] Indian Inst Sci, Dept Chem Engn, Bangalore 12560012, Karnataka, India
[2] Louisiana State Univ, Dept Chem Engn, Baton Rouge, LA 70803 USA
关键词
population balance equations; agglomeration; breakage; crystallization; Ostwald ripening; denucleation;
D O I
10.1016/j.powtec.2004.04.022
中图分类号
TQ [化学工业];
学科分类号
0817 ;
摘要
A general population balance equation (PBE) is proposed to describe combined monomer addition and dissociation (growth and dissolution) and aggregation and fragmentation. The reversible distribution kinetics has applications to a range of natural and manufacturing phenomena, including crystal growth or dissolution with agglomeration and/or breakage. A numerical solution to the PBE shows the evolution to a steady-state crystal size. The model allows assessment of various parameters, such as the fragmentation kernel, initial particle size distribution, and the aggregation rate. Interfacial energy, through the Gibbs-Thomson effect, has a strong influence on crystal growth-dissolution and denucleation of subcritical nuclei. The denucleation rate as a function of breakage rate coefficient was found to follow a power-law relationship. (C) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码:297 / 307
页数:11
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