Models for the numerical simulation of bubble columns: A review

A Mühlbauer, MW Hlawitschka… - Chemie Ingenieur …, 2019 - Wiley Online Library
This work reviews the state‐of‐the‐art models for the simulation of bubble columns and
focuses on methods coupled with computational fluid dynamics (CFD) where the potential …

[HTML][HTML] Modeling and simulation of photobioreactors with computational fluid dynamics—a comprehensive review

G Luzi, C McHardy - Energies, 2022 - mdpi.com
Computational Fluid Dynamics (CFD) have been frequently applied to model the growth
conditions in photobioreactors, which are affected in a complex way by multiple, interacting …

An extended quadrature method of moments for population balance equations

C Yuan, F Laurent, RO Fox - Journal of Aerosol Science, 2012 - Elsevier
Population balance equations (PBE) for a number density function (NDF) arise in many
applications of aerosol technology. Thus, there has been considerable interest in the …

Droplet breakage and coalescence in liquid–liquid dispersions: Comparison of different kernels with EQMOM and QMOM

D Li, Z Gao, A Buffo, W Podgorska… - AIChE Journal, 2017 - Wiley Online Library
Droplet coalescence and breakage in turbulent liquid–liquid dispersions is simulated by
using computational fluid dynamics (CFD) and population balance modeling. The …

An extended quadrature-based moment method with log-normal kernel density functions

E Madadi-Kandjani, A Passalacqua - Chemical Engineering Science, 2015 - Elsevier
An extended quadrature method of moments (EQMOM) with log-normal kernel density
functions is developed in this work, and applied to the solution of a population balance …

New semi-analytical approach and its convergence analysis for a classical hyperbolic fragmentation model: A homotopy perturbation method

P Kushwah, A Paswan, V Thota, J Saha… - Journal of …, 2023 - Elsevier
In the past few decades, the homotopy perturbation method (HPM) has been used
intensively for finding analytical and semi-analytical solutions for linear and nonlinear …

The generalized quadrature method of moments

RO Fox, F Laurent, A Passalacqua - Journal of Aerosol Science, 2023 - Elsevier
The quadrature method of moments (QMOM) for a one-dimensional (1-D) population
balance equation was introduced by R. McGraw (Aerosol Science and Technology, 27, 255 …

Improved accuracy and convergence of homotopy‐based solutions for aggregation–fragmentation models

P Kushwah, J Saha - Mathematical Methods in the Applied …, 2023 - Wiley Online Library
We discuss the formulation of a numerical scheme based on the homotopy method to solve
different aggregation–fragmentation models including the simultaneous event. Several test …

Multivariate Gaussian extended quadrature method of moments for turbulent disperse multiphase flow

C Chalons, RO Fox, F Laurent, M Massot, A Vié - Multiscale Modeling & …, 2017 - SIAM
The present contribution introduces a fourth-order moment formalism for particle trajectory
crossing (PTC) in the framework of multiscale modeling of disperse multiphase flow. In our …

[HTML][HTML] Approximate moment methods for population balance equations in particulate and bioengineering processes

R Dürr, A Bück - Processes, 2020 - mdpi.com
Population balance modeling is an established framework to describe the dynamics of
particle populations in disperse phase systems found in a broad field of industrial, civil, and …