Modeling and simulation of turbulent polydisperse gas-liquid systems via the generalized population balance equation

Antonio Buffo 1  and Daniele L. Marchisio 1
  • 1 Istituto di Ingegneria Chimica, Dipartimento di Scienza Applicata e Tecnologia, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy
Antonio Buffo
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  • Antonio Buffo received his master and PhD in chemical engineering from Politecnico di Torino (Italy) in 2012. Currently, he is a postdoctoral researcher at Politecnico di Torino. His main research interests are in the field of multiphase and reactive flows, transport phenomena, kinetic theory, mathematical modeling, numerical methods, and computer science.
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and Daniele L. Marchisio
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  • Daniele L. Marchisio received his master and PhD in chemical engineering from Politecnico di Torino (Italy) in 2001. He then became postdoctoral researcher at Iowa State University (USA) and at Eidgenössische Technische Hochschule Zürich (Switzerland). In 2004 he was appointed assistant professor at Politecnico di Torino and he is currently associate professor in the same instituition. He held visiting positions at University College London (UK), Aalborg University (Denmark), and University of Valladolid (Spain). He authored many papers published in international journals on multiphase systems and reactor modeling and simulations. His monograph (coauthored with Rodney O. Fox) “Computational Models for Polydisperse Particulate and Multiphase Systems” offers an authoritative treatment of the field.
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Abstract

This article reviews the most critical issues in the simulation of turbulent polydisperse gas-liquid systems. Here the discussion is limited to bubbly flows, where the gas appears in the form of separate individual bubbles. First, the governing equations are presented with particular focus on the generalized population balance equation (GPBE). Then, the mesoscale models defining the evolution of the gas-liquid system (e.g., interface forces, mass transfer, coalescence, and breakup) are introduced and critically discussed. Particular attention is devoted to the choice of the drag model to properly simulate dense gas-liquid systems in the presence of microscale turbulence. Finally, the different solution methods, namely, Lagrangian and Eulerian, are presented and discussed. The link between mixture, two- and multi-fluid models, and the GPBE is also analyzed. Eventually, the different methodologies to account for polydispersity, with focus on Lagrangian or direct simulation Monte Carlo methods and Eulerian quadrature-based moment methods, are also presented. A number of practical examples are discussed and the review is concluded by presenting the advantages and disadvantages of the different methods and the corresponding computational costs.

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