Investigation of particulate systems often requires the solution of a population balance,
which is a continuity statement written in terms of the number density function. In turn, the …

Monte Carlo (MC) constitutes an important class of methods for the numerical solution of the
general dynamic equation (GDE) in particulate systems. We compare four such methods in a …

The fixed pivot technique of Kumar and Ramkrishna (Chem. Eng. Sci. 1996, 51 (8), 1311−
1332), originally derived for one-dimensional systems, is extended to simulate two …

The controllability of systems described by population balance equations through the use of
lumped manipulated variables is addressed. A comprehensive model is first presented and …

The simulation of complex gas-phase reactors for the synthesis of fine particles requires the
coupling of particle and fluid dynamics. A previously developed CFD-coupled simulation …

We formulate a Monte Carlo simulation of the mean-field population balance equation by
tracking a sample of the population whose size (number of particles in the sample) is kept …

In this work the relationship between multiphase computational fluid dynamics models and
population balance models is illustrated by deriving the main governing equations from the …

This article discusses the use of population balance techniques in the understanding of
particulate processes. Population Balance Equations (PEEs) describe how properties of a …

Processes involving particles, are known to exhibit extremely unpredictable behaviour,
mainly due to the mesoscopic nature of granular media. Understanding particulate …

A new discretization method, applicable for both batch and continuous systems, is
developed for the breakage equation. The problem of intrainterval interactions due to …