Accurate and fast numerical algorithms for tracking particle size distributions during nanoparticle aggregation and dissolution

2017 ◽  
Vol 4 (1) ◽  
pp. 89-104 ◽  
Author(s):  
Amy L. Dale ◽  
Gregory V. Lowry ◽  
Elizabeth A. Casman

We compare four numerical modeling frameworks that track particle size distributions during simultaneous size-dependent nanoparticle aggregation and dissolution in water.

1999 ◽  
Author(s):  
K.K. Ellis ◽  
R. Buchan ◽  
M. Hoover ◽  
J. Martyny ◽  
B. Bucher-Bartleson ◽  
...  

2010 ◽  
Vol 126 (10/11) ◽  
pp. 577-582 ◽  
Author(s):  
Katsuhiko FURUKAWA ◽  
Yuichi OHIRA ◽  
Eiji OBATA ◽  
Yutaka YOSHIDA

1996 ◽  
Vol 61 (4) ◽  
pp. 536-563
Author(s):  
Vladimír Kudrna ◽  
Pavel Hasal

To the description of changes of solid particle size in population, the application was proposed of stochastic differential equations and diffusion equations adequate to them making it possible to express the development of these populations in time. Particular relations were derived for some particle size distributions in flow and batch equipments. It was shown that it is expedient to complement the population balances often used for the description of granular systems by a "diffusion" term making it possible to express the effects of random influences in the growth process and/or particle diminution.


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