Technical Report 93, c4e-Preprint Series, Cambridge

Numerical study of a stochastic particle algorithm solving a multidimensional population balance model for high shear granulation

ref: Technical Report 93, c4e-Preprint Series, Cambridge

Associated Themes: Numerics, Nanoparticles, and Particle Processes

Abstract

This paper is concerned with computational aspects of a multi-dimensional population balance model of a wet granulation process. Wet granulation is a manufacturing method to form composite particles, granules, from small particles and binders. A detailed numerical study of a stochastic particle algorithm for the solution of a five-dimensional population balance model for wet granulation is presented. Each particle consists of two types of solids (containing pores) and of external and internal liquid (located in the pores). Several transformations of particles are considered, including coalescence, compaction and breakage. A convergence study is performed with respect to the parameter that determines the number of numerical particles. Averaged properties of the system are computed. In addition, the ensemble is subdivided into practically relevant size classes and analysed with respect to the amount of mass and the particle porosity in each class. These results illustrate the importance of the multi-dimensional approach. Finally, the kinetic equation corresponding to the stochastic model is discussed.

Material from this preprint has been published in: Journal of Computational Physics 229 (20), 7672-7691, (2010)

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