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 …

The inverse problem in granulation modeling—Two different statistical approaches

A Braumann, PLW Man, M Kraft - AIChE Journal, 2011 - Wiley Online Library
This article is concerned with parameter estimation for a multidimensional population
balance model for granulation. Experimental results were obtained by running a laboratory …

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 …

Simulating the early stage of high-shear granulation using a two-dimensional Monte-Carlo approach

M Oullion, GK Reynolds, MJ Hounslow - Chemical Engineering Science, 2009 - Elsevier
A two-dimensional (2-D) model of a granulation process is presented in this paper. It aims to
simulate an entire granulation batch without the use of an initial experimental or fictitious 2-D …

Population balance modelling of granulation

T Abberger - Handbook of powder technology, 2007 - Elsevier
Publisher Summary This chapter deals with a powerful and versatile tool for the
mathematical modeling of particulate processes including granulation—the population …

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] …

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 …

A multi-compartment population balance model for high shear granulation

KF Lee, S Mosbach, M Kraft, W Wagner - Computers & Chemical …, 2015 - Elsevier
This work extends the granulation model published by Braumann et al.(2007) to include
multiple compartments in order to account for mixture heterogeneity encountered in powder …

A stochastic technique for multidimensional granulation modeling

JA Gantt, EP Gatzke - AIChE journal, 2006 - Wiley Online Library
Recent granulation modeling research has produced compelling evidence that simple one‐
dimensional (1‐D) models will not suffice when describing the dynamics of particle growth …