Challenges and opportunities concerning numerical solutions for population balances: a critical review

M Singh, V Ranade, O Shardt… - Journal of Physics A …, 2022 - iopscience.iop.org
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 …

Oxygen mass transfer in biopharmaceutical processes: numerical and experimental approaches

S Seidel, RW Maschke, S Werner… - Chemie Ingenieur …, 2021 - Wiley Online Library
Oxygen supply in aerobic bioprocesses is of crucial importance. For this reason, this paper
presents the oxygen demand of different cells and summarizes experimental and numerical …

[HTML][HTML] Soot particle size distribution reconstruction in a turbulent sooting flame with the split-based extended quadrature method of moments

F Ferraro, S Gierth, S Salenbauch, W Han, C Hasse - Physics of Fluids, 2022 - pubs.aip.org
The Method of Moments (MOM) has largely been applied to investigate sooting laminar and
turbulent flames. However, the classical MOM is not able to characterize a continuous …

Assimilating size diversity: Population balance equations applied to the modeling of microplastic transport

NA Shettigar, Q Bi, E Toorman - Environmental Science & …, 2024 - ACS Publications
Modeling of microplastic (MP) transport in the aquatic environment is complicated by the
diverse properties of the plastic particles. Traditional modeling methods such as Lagrangian …

Particle size distributions via mechanism-enabled population balance modeling

DR Handwerk, PD Shipman… - The Journal of …, 2020 - ACS Publications
Mechanism-enabled population balance modeling (ME-PBM) was recently defined as the
use of experimentally established (ie, disproof-based, deliberately minimalistic, and pseudo …

New developments of the extended quadrature method of moments to solve population balance equations

M Pigou, J Morchain, P Fede, MI Penet… - Journal of Computational …, 2018 - Elsevier
Abstract Population Balance Models have a wide range of applications in many industrial
fields as they allow accounting for heterogeneity among properties which are crucial for …

A conservative method for numerical solution of the population balance equation, and application to soot formation

A Liu, S Rigopoulos - Combustion and Flame, 2019 - Elsevier
The objective of this paper is to present a finite volume method for the discretisation of the
population balance equation with coagulation, growth and nucleation that combines:(a) …

[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 …

Learning from reproducing computational results: introducing three principles and the Reproduction Package

MS Krafczyk, A Shi, A Bhaskar… - … Transactions of the …, 2021 - royalsocietypublishing.org
We carry out efforts to reproduce computational results for seven published articles and
identify barriers to computational reproducibility. We then derive three principles to guide the …

Quadrature-based moment methods for the population balance equation: An algorithm review

D Li, Z Li, Z Gao - Chinese Journal of Chemical Engineering, 2019 - Elsevier
The dispersed phase in multiphase flows can be modeled by the population balance model
(PBM). A typical population balance equation (PBE) contains terms for spatial transport …