Thoughts on Recovering Particle Size Distributions from the Moment Form of the Population Balance

2008 ◽  
Vol 10 (5-6) ◽  
pp. 501-519 ◽  
Author(s):  
A. E. Flood
1980 ◽  
Vol 17 (4) ◽  
pp. 956-967 ◽  
Author(s):  
H. L. MacGillivray

Important parameters of particle size distributions in dispersed systems in engineering and related fields are ratios of moments and inverse powers of these ratios, known as mean sizes. The variation in these parameters is examined for the simplest growth model in which the size distribution is translated, and the results for this process considered in relation to the problems of models of other growth processes. For initial size distributions with monotone hazard rate, the results are particularly significant, and the properties of the normalised moments of other distributions are also considered.


2020 ◽  
Vol 124 (8) ◽  
pp. 4852-4880 ◽  
Author(s):  
Derek R. Handwerk ◽  
Patrick D. Shipman ◽  
Christopher B. Whitehead ◽  
Saim Özkar ◽  
Richard G. Finke

1980 ◽  
Vol 17 (04) ◽  
pp. 956-967 ◽  
Author(s):  
H. L. MacGillivray

Important parameters of particle size distributions in dispersed systems in engineering and related fields are ratios of moments and inverse powers of these ratios, known as mean sizes. The variation in these parameters is examined for the simplest growth model in which the size distribution is translated, and the results for this process considered in relation to the problems of models of other growth processes. For initial size distributions with monotone hazard rate, the results are particularly significant, and the properties of the normalised moments of other distributions are also considered.


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

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