Challenges and opportunities concerning numerical solutions for population balances: a critical review
Population balance models are tools for the study of dispersed systems, such as granular
materials, polymers, colloids and aerosols. They are applied with increasing frequency …
materials, polymers, colloids and aerosols. They are applied with increasing frequency …
[HTML][HTML] State-of-the-art review on various mathematical approaches towards solving population balanced equations in pharmaceutical crystallization process
AA Lahiq, SM Alshahrani - Arabian Journal of Chemistry, 2023 - Elsevier
Crystallization is an important process, which possesses an undeniable role in many
chemical industries. In recent years, significant endeavors have been made to increase the …
chemical industries. In recent years, significant endeavors have been made to increase the …
Crystal population balance formulation and solution methods: a review
Crystallization is an important part of many chemical industries. Efforts are being invested to
improve the performance of the crystallization process by designing novel crystallizers. An …
improve the performance of the crystallization process by designing novel crystallizers. An …
Solution of population balance equations in applications with fine particles: mathematical modeling and numerical schemes
The accurate description and robust simulation, at relatively low cost, of global quantities (eg
number density or volume fraction) as well as the size distribution of a population of fine …
number density or volume fraction) as well as the size distribution of a population of fine …
Modelling of soot coalescence and aggregation with a two-population balance equation model and a conservative finite volume method
The objective of the present paper is to develop a population balance approach for
modelling soot formation that distinguishes between coalescence and aggregation and …
modelling soot formation that distinguishes between coalescence and aggregation and …
On the interaction of turbulence with nucleation and growth in reaction crystallisation
HY Tang, S Rigopoulos, G Papadakis - Journal of Fluid Mechanics, 2022 - cambridge.org
The objective of this work is to investigate the interaction of turbulence with the nonlinear
processes of particle nucleation and growth that occur in reaction crystallisation, also known …
processes of particle nucleation and growth that occur in reaction crystallisation, also known …
[HTML][HTML] A conservative finite volume method for the population balance equation with aggregation, fragmentation, nucleation and growth
D O'Sullivan, S Rigopoulos - Chemical Engineering Science, 2022 - Elsevier
In the present paper, we present a method for solving the population balance equation
(PBE) with the complete range of kinetic processes included: namely aggregation …
(PBE) with the complete range of kinetic processes included: namely aggregation …
[HTML][HTML] Strongly coupled fluid-particle flows in vertical channels. II. Turbulence modeling
In Part I, simulations of strongly coupled fluid-particle flow in a vertical channel were
performed with the purpose of understanding, in general, the fundamental physics of wall …
performed with the purpose of understanding, in general, the fundamental physics of wall …
A finite volume preserving scheme on nonuniform meshes and for multidimensional coalescence
L Forestier-Coste, S Mancini - SIAM Journal on Scientific Computing, 2012 - SIAM
In this paper we present a deterministic numerical approximation of the coalescence or
Smoluchowski equation. The proposed numerical scheme conserves the first order …
Smoluchowski equation. The proposed numerical scheme conserves the first order …
Mass-based finite volume scheme for aggregation, growth and nucleation population balance equation
In this paper, a new mass-based numerical method is developed using the notion of
Forestier-Coste & Mancini (Forestier-Coste & Mancini 2012, SIAM J. Sci. Comput. 34, B840 …
Forestier-Coste & Mancini (Forestier-Coste & Mancini 2012, SIAM J. Sci. Comput. 34, B840 …