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A critical analysis of multifluid turbulent models for simulating liquid–particle turbulent flows in agitated vessels

Wang, Ziming; Mazzei, Luca; (2025) A critical analysis of multifluid turbulent models for simulating liquid–particle turbulent flows in agitated vessels. Chemical Engineering Research and Design , 219 pp. 52-66. 10.1016/j.cherd.2025.05.023. Green open access

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Abstract

This paper analyzes critically some multifluid turbulent models for liquid–particle mixtures derived from Eulerian–Eulerian laminar models. As benchmark, we use the model of Fox (2014), derived by rigorously Reynolds-averaging the Eulerian–Eulerian transport equations. The results of this model are compared to those of other models commonly used in the literature, where turbulence terms are added to the multifluid transport equations without theoretical justification. In spite of this, such models often yield good results. When in these models the mean variables are replaced with the Reynolds-averaged variables of the model by Fox (2014), the latter is not recovered, because it features various additional terms. Moreover, for some of the undetermined terms present in both models, the closures differ. Our simulations for turbulent multifluid flows in agitated vessels indicate that closures for the turbulent drift velocity impact the results negligibly, whereas those for turbulent interaction terms and drag coefficients do affect the results. With appropriate closures, the simulation results produced by the Fox (2014) model align well with experimental data, confirming the applicability of the model for the application considered. While some of the additional terms present in the Fox (2014) model have minimal impact on the results, the source term for the granular internal energy is appreciable, even if it is not sufficiently large to alter the overall simulation accuracy. These findings may explain why the other models, which do not account for various terms arising from the rigorous Reynolds-averaging procedure, do produce reasonably accurate results.

Type: Article
Title: A critical analysis of multifluid turbulent models for simulating liquid–particle turbulent flows in agitated vessels
Open access status: An open access version is available from UCL Discovery
DOI: 10.1016/j.cherd.2025.05.023
Publisher version: https://doi.org/10.1016/j.cherd.2025.05.023
Language: English
Additional information: © 2025 The Authors. Published by Elsevier Ltd on behalf of Institution of Chemical Engineers. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
Keywords: Agitated vessels, CFD, Liquid–particle suspensions, Multiphase turbulent flows, Multiphase turbulence modeling
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Chemical Engineering
URI: https://discovery.ucl.ac.uk/id/eprint/10209391
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