Population balance modeling for bubble columns operating in the homogeneous regime

AIChE Journal ◽  
2007 ◽  
Vol 53 (3) ◽  
pp. 579-588 ◽  
Author(s):  
M. R. Bhole ◽  
J. B. Joshi ◽  
D. Ramkrishna
Keyword(s):  
Population Balance ◽  
Bubble Columns ◽  
Population Balance Modeling

scholarly journals Special Issue on “Recent Advances in Population Balance Modeling”

Processes ◽  
2021 ◽  
Vol 9 (1) ◽  
pp. 122
Author(s):  
Seyed Soheil Mansouri ◽  
Heiko Briesen ◽  
Krist V. Gernaey ◽  
Ingmar Nopens
Keyword(s):  
Population Balance ◽  
Special Issue ◽  
Modeling Framework ◽  
Population Balance Modeling ◽  
Recent Advances

Population Balance Modeling (PBM) is a powerful modeling framework that allows the prediction of the dynamics of distributed properties of a population of individuals at the mesoscale [...]

Celebrating a milestone in Population Balance Modeling

2009 ◽  
Vol 64 (4) ◽  
pp. 627 ◽  
Author(s):  
Ingmar Nopens ◽  
Heiko Briesen ◽  
Joel Ducoste
Keyword(s):  
Population Balance ◽  
Population Balance Modeling

scholarly journals Population balance modeling of biopolymer production in cellular systems

2014 ◽  
Vol 47 (3) ◽  
pp. 1705-1710 ◽  
Author(s):  
Andre Franz ◽  
Robert Dürr ◽  
Achim Kienle
Keyword(s):  
Population Balance ◽  
Cellular Systems ◽  
Population Balance Modeling

Taylor series expansion scheme applied for solving population balance equation

2018 ◽  
Vol 34 (4) ◽  
pp. 561-594 ◽  
Author(s):  
Mingzhou Yu ◽  
Jianzhong Lin
Keyword(s):  
Series Expansion ◽  
Taylor Series ◽  
Numerical Study ◽  
Rapid Development ◽  
Taylor Series Expansion ◽  
Population Balance ◽  
Population Balance Modeling ◽  
Physicochemical Processes ◽  
Selection Of ◽  
Expansion Scheme

Abstract Population balance equations (PBE) are widely applied to describe many physicochemical processes such as nanoparticle synthesis, chemical processes for particulates, colloid gel, aerosol dynamics, and disease progression. The numerical study for solving the PBE, i.e. population balance modeling, is undergoing rapid development. In this review, the application of the Taylor series expansion scheme in solving the PBE was discussed. The theories, implement criteria, and applications are presented here in a universal form for ease of use. The aforementioned method is mathematically economical and applicable to the combination of fine-particle physicochemical processes and can be used to numerically and pseudo-analytically describe the time evolution of statistical parameters governed by the PBE. This article summarizes the principal details of the method and discusses its application to engineering problems. Four key issues relevant to this method, namely, the optimization of type of moment sequence, selection of Taylor series expansion point, optimization of an order of Taylor series expansion, and selection of terms for Taylor series expansion, are emphasized. The possible direction for the development of this method and its advantages and shortcomings are also discussed.

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