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The application of Buckingham π theorem to Lattice-Boltzmann modelling of sewage sludge digestion

Dapelo, D.; Trunk, R. 1; Krause, M. J. 1; Cassidy, N.; Bridgeman, J.
1 Karlsruher Institut für Technologie (KIT)


For the first time, a set of Lattice-Boltzmann two-way coupling pointwise Euler-Lagrange models is applied to gas mixing of sludge for anaerobic digestion. The set comprises a local model, a “first-neighbour” (viz., back-coupling occurs to the voxel where a particle sits, plus its first neighbours) and a “smoothing-kernel” (forward- and back-coupling occur through a smoothed-kernel averaging procedure).
Laboratory-scale tests display grid-independence problems due to bubble diameter being larger than voxel size, thereby breaking the pointwise Euler-Lagrange assumption of negligible particle size. To tackle this problem and thereby have grid-independent results, a novel data-scaling approach to pointwise Euler-Lagrange grid independence evaluation, based on an application of the Buckingham π theorem, is proposed.
Evaluation of laboratory-scale flow patterns and comparison to experimental data show only marginal differences in between the models, and between numerical modelling and experimental data. Pilot-scale simulations show that all the models produce grid-independent, coherent data if the Euler-Lagrange assumption of negligible (or at least, small) particle size is recovered. ... mehr

Verlagsausgabe §
DOI: 10.5445/IR/1000122737
Veröffentlicht am 28.08.2020
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Mechanische Verfahrenstechnik und Mechanik (MVM)
Publikationstyp Zeitschriftenaufsatz
Publikationsdatum 15.09.2020
Sprache Englisch
Identifikator ISSN: 0045-7930, 1879-0747
KITopen-ID: 1000122737
Erschienen in Computers & fluids
Verlag Elsevier
Band 209
Seiten Art. Nr.: 104632
Schlagwörter Anaerobic digestion, Grid independence, Lattice-Boltzmann, Euler-Lagrange, Non-Newtonian, OpenLB
Nachgewiesen in Web of Science
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