Data to reproduce the paper: "Non-dimensionalization of quadrature method of moments for wet granulation"

doi: 10.4121/22093397.v1
The doi above is for this specific version of this dataset, which is currently the latest. Newer versions may be published in the future. For a link that will always point to the latest version, please use
doi: 10.4121/22093397
Datacite citation style:
Plath, Timo; Luding, Stefan; Weinhart, T. (Thomas) (2024): Data to reproduce the paper: "Non-dimensionalization of quadrature method of moments for wet granulation". Version 1. 4TU.ResearchData. software.
Other citation styles (APA, Harvard, MLA, Vancouver, Chicago, IEEE) available at Datacite

Wet granulation is a multiphase process utilised to produce aggregate particles with defined properties from very fine powders. Simulating this process on the microscale is challenging because of the large number of particles involved, which differ widely in both size and material properties. Macroscale methods, which track only the particle bulk properties, are efficient but do not resolve disperse particle properties such as the particle size distribution (PSD), which is key information for downstream processing. These deficiencies are addressed by mesoscale methods like population balance (PB) models, which track distributed properties such as the particle size by adding them as internal variables to the macroscale (CFD) model. However, most mesoscale methods are either inaccurate (method of moments when cutting off moments) or computationally expensive (Monte Carlo, class methods). Recently a new closure for the method of moments, the quadrature method of moments (QMOM), was introduced to allow accurate moment tracking of a PSD with low computational effort. One disadvantage of this method is that it can suffer from instabilities. These, however, can be overcome by non-dimensionalization. In the study we show our insights gained by non-dimensionalizing the QMOM equations for wet granulation processes, which model the PSD via growth, aggregation and breakage kernels. Also relevant numerical and theoretical issues as well as limitations are discussed.

The software in this dataset can be used to reproduce all figures and verify the integrity of the title paper. The software consists of a fully working MATLAB (Version R2019b) script for a non-dimensional and dimensional quadrature method of moments and all the additional methods that are needed to run the quadrature method of moments (reading in data, adaptive Wheeler algorithm, etc.). Further, a Python script (Version 3.7) for the Buckingham theorem using BuckinghamPy is available.

  • 2024-02-13 first online, published, posted
code files (.py .m), spreadsheets (.csv), Figures (.svg)
  • Virtual Prototyping of Particulate Processes (ViPr) – Design and Optimisation via Multiscale Modelling and Rapid Prototyping (grant code 16604) [more info...] Dutch Research Council
University of Twente, Faculty of Engineering Technology, Department of Thermal and Fluid Engineering (TFE)


To access the source code, use the following command:

git clone
files (1)