Predictive simulation of nanoparticle precipitation based on the population balance equation

H.-C. Schwarzer, F. Schwertfirm, M. Manhart, H.-J. Schmid, W. Peukert, Chemical Engineering Science 61 (2005) 167–181.

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Journal Article | Published | English
Author
Schwarzer, Hans-Christoph; Schwertfirm, Florian; Manhart, Michael; Schmid, Hans-JoachimLibreCat; Peukert, Wolfgang
Abstract
Nanoparticle precipitation is an interesting process to generate particles with tailored properties. In this study we investigate the impact of various process steps such as solid formation, mixing and agglomeration on the resulting particle size distribution (PSD) as representative property using barium sulfate as exemplary material. Besides the experimental investigation, process simulations were carried out by solving the full 1D population balance equation coupled to a model describing the micromixing kinetics based on a finite-element Galerkin h-p-method. This combination of population balance and micromixing model was applied successfully to predict the influence of mixing on mean sizes (good quantitative agreement between experimental data and simulation results are obtained) and gain insights into nanoparticle precipitation: The interfacial energy was identified to be a critical parameter in predicting the particle size, poor mixing results in larger particles and the impact of agglomeration was found to increase with supersaturation due to larger particle numbers. Shear-induced agglomeration was found to be controllable through the residence time in turbulent regions and the intensity of turbulence, necessary for intense mixing but undesired due to agglomeration. By this approach, however, the distribution width is underestimated which is attributed to the large spectrum of mixing histories of fluid elements on their way through the mixer. Therefore, an improved computational fluid dynamics-based approach using direct numerical simulation with a Lagrangian particle tracking strategy is applied in combination with the coupled population balance–micromixing approach. We found that the full DNS-approach, coupled to the population balance and micromixing model is capable of predicting not only the mean sizes but the full PSD in nanoparticle precipitation.
Publishing Year
Journal Title
Chemical Engineering Science
Volume
61
Issue
1
Page
167-181
ISSN
LibreCat-ID

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Schwarzer H-C, Schwertfirm F, Manhart M, Schmid H-J, Peukert W. Predictive simulation of nanoparticle precipitation based on the population balance equation. Chemical Engineering Science. 2005;61(1):167-181. doi:10.1016/j.ces.2004.11.064
Schwarzer, H.-C., Schwertfirm, F., Manhart, M., Schmid, H.-J., & Peukert, W. (2005). Predictive simulation of nanoparticle precipitation based on the population balance equation. Chemical Engineering Science, 61(1), 167–181. https://doi.org/10.1016/j.ces.2004.11.064
@article{Schwarzer_Schwertfirm_Manhart_Schmid_Peukert_2005, title={Predictive simulation of nanoparticle precipitation based on the population balance equation}, volume={61}, DOI={10.1016/j.ces.2004.11.064}, number={1}, journal={Chemical Engineering Science}, author={Schwarzer, Hans-Christoph and Schwertfirm, Florian and Manhart, Michael and Schmid, Hans-Joachim and Peukert, Wolfgang}, year={2005}, pages={167–181} }
Schwarzer, Hans-Christoph, Florian Schwertfirm, Michael Manhart, Hans-Joachim Schmid, and Wolfgang Peukert. “Predictive Simulation of Nanoparticle Precipitation Based on the Population Balance Equation.” Chemical Engineering Science 61, no. 1 (2005): 167–81. https://doi.org/10.1016/j.ces.2004.11.064.
H.-C. Schwarzer, F. Schwertfirm, M. Manhart, H.-J. Schmid, and W. Peukert, “Predictive simulation of nanoparticle precipitation based on the population balance equation,” Chemical Engineering Science, vol. 61, no. 1, pp. 167–181, 2005, doi: 10.1016/j.ces.2004.11.064.
Schwarzer, Hans-Christoph, et al. “Predictive Simulation of Nanoparticle Precipitation Based on the Population Balance Equation.” Chemical Engineering Science, vol. 61, no. 1, 2005, pp. 167–81, doi:10.1016/j.ces.2004.11.064.

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