1547-5905/asset/AIC_left.gif?v=1&s=43a3d567c64d3d5d712c0af6c2cacb1e1bcc1a2b)
1547-5905/asset/AIC_right.gif?v=1&s=518efadeedca9ceeef271499f690fdebd2ed9164)
Particle Technology and Fluidization
Numerical simulation of particulate processes for control and estimation by spectral methods
Article first published online: 20 SEP 2011
DOI: 10.1002/aic.12757
Copyright © 2011 American Institute of Chemical Engineers (AIChE)
Additional Information
How to Cite
Bück, A., Klaunick, G., Kumar, J., Peglow, M. and Tsotsas, E. (2012), Numerical simulation of particulate processes for control and estimation by spectral methods. AIChE J., 58: 2309–2319. doi: 10.1002/aic.12757
Publication History
- Issue published online: 5 JUL 2012
- Article first published online: 20 SEP 2011
- Accepted manuscript online: 18 AUG 2011 10:26AM EST
- Manuscript Revised: 29 JUL 2011
- Manuscript Received: 3 MAY 2011
Funded by
- German Federal Ministry of Science and Education
- Bundesministerium für Bildung und Forschung (BMBF)
- InnoProfile project NaWiTec
- Abstract
- Article
- References
- Cited By
Keywords:
- population balance equation;
- spectral method;
- granulation;
- crystallization;
- model-based control
Abstract
Results of application of pseudospectral methods, also known as spectral collocation methods, to practical particulate processes including growth, nucleation, aggregation, and breakage are presented. For growth-dominated processes, a considerable reduction in model dimension can be achieved; for pure aggregation and breakage they form a viable option. To handle problems that include aggregation, breakage, and growth phenomena simultaneously, we introduce a hybrid algorithm combining the advantages of spectral methods and cell average or fixed pivot methods for aggregation and breakage. Results are shown for analytical examples as well as real processes taken from the fields of granulation and crystallization. © 2011 American Institute of Chemical Engineers AIChE J, 58: 2309–2319, 2012