Solution technique for a multi-dimensional population balance model describing granulation processes

CD Immanuel, FJ Doyle III - Powder Technology, 2005 - Elsevier
An efficient and novel solution technique is presented for solving multi-dimensional
population balance models. In addition to overcoming stiffness in the original system, the …

An extended cell-average technique for a multi-dimensional population balance of granulation describing aggregation and breakage

A Chaudhury, A Kapadia, AV Prakash… - Advanced Powder …, 2013 - Elsevier
This paper focuses on obtaining the numerical solution to a three-dimensional population
balance model (PBM) of granulation using the cell-average technique first proposed by [22] …

Statistical approximation of the inverse problem in multivariate population balance modeling

A Braumann, PLW Man, M Kraft - Industrial & engineering …, 2010 - ACS Publications
This paper deals with the estimation of model parameters and their uncertainties
encountered in granulation modeling. The outcome of a multivariate, detailed population …

Incorporating experimental uncertainties into multivariate granulation modelling

A Braumann, M Kraft - Chemical Engineering Science, 2010 - Elsevier
A methodology that carries experimental uncertainties into model predictions is studied and
applied to a multidimensional population balance model for granulation processes. This …

A three-dimensional population balance model of granulation with a mechanistic representation of the nucleation and aggregation phenomena

JMH Poon, CD Immanuel, FJ Doyle Iii… - Chemical Engineering …, 2008 - Elsevier
A comprehensive model is discussed for wet granulation based on a three-dimensional
population balance, as an attempt to capture particle-level phenomena and their influence …

A computationally efficient technique for the solution of multi-dimensional PBMs of granulation via tensor decomposition

A Chaudhury, I Oseledets, R Ramachandran - Computers & chemical …, 2014 - Elsevier
Multi-dimensional population balance equations (PBEs) are commonly used to describe the
dynamics of particulate processes such as granulation. Such a class of equations are …

A mechanistic population balance model for granulation processes: effect of process and formulation parameters

A Chaudhury, H Wu, M Khan… - Chemical Engineering …, 2014 - Elsevier
This work is concerned with the theoretical development of a semi-mechanistic aggregation
kernel in a population balance model (PBM) which takes into account the effect of droplet …

Effect of different discretizations on the numerical solution of 2D aggregation population balance equation

M Singh, K Vuik, G Kaur, HJ Bart - Powder Technology, 2019 - Elsevier
This work is concerned with the assessment of the various discretizations used to obtain the
numerical solutions of the bivariate aggregation population balance equation. It was …

A comparison of model order reduction techniques for a four-dimensional population balance model describing multi-component wet granulation processes

D Barrasso, R Ramachandran - Chemical engineering science, 2012 - Elsevier
Three-dimensional (3-D) population balance equations are often used to model wet
granulation processes, simulating distributions in particle size, liquid binder content, and …

A mechanistic model for breakage in population balances of granulation: Theoretical kernel development and experimental validation

R Ramachandran, CD Immanuel, F Stepanek… - … Research and Design, 2009 - Elsevier
In this study, a dynamic model is presented for the granulation process, employing a three-
dimensional population balance framework. The major focus of this work is the theoretical …