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Eulerian-Lagrangian approach to modeling heat transfer in gas-particle mixtures: volume-averaged equations, multi-scale modeling and comparison with numerical experiments

Belerrajoul, Mohamed and Davit, Yohan and Duval, Fabien and Quintard, Michel and Simonin, Olivier Eulerian-Lagrangian approach to modeling heat transfer in gas-particle mixtures: volume-averaged equations, multi-scale modeling and comparison with numerical experiments. (2018) In: 16th International Heat Transfer Conference, 10 August 2018 - 15 August 2018 (Beijing, China).

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Abstract

In this paper, a macro-scale model is proposed to describe heat transfer in a dilute gas-particle mixture. The continuous phase is described by a filtered Eulerian approach while the dispersed one is represented as Lagrangian particles. The filtered model, which is obtained using an up-scaling methodology, consists of a macroscopic heat transfer model for the continuous phase with a matrix of heat exchange coefficients that captures both particle-particle and particle-fluid interactions. The up-scaling methodology further provides closure problems that link these coefficients to the particle scale and can be used to calculate the matrix explicitly. The validity of lumped and diagonal approximations of the matrix is studied, therefore providing a direct link between our approach and classical models of dilute gas-particle mixtures considering that the temperature field in the vicinity of each particle is not influenced by the presence of other particles. We also discuss the influence of the number of particles in the REV (Representative Elementary Volume) on the solution of the closure problems and compare numerical solutions of the exchange coefficients with analytical results obtained in the case of an isolated particle. Finally, we study a model system with immobile particles in a purely diffusive case and compare results of the macro-scale representation to those obtained from numerical experiments for different volume fractions.We show good agreement of our model with the numerical experiments and discuss the accuracy of lumped and diagonal approximations.

Item Type:Conference or Workshop Item (Paper)
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
French research institutions > Institut de Radioprotection et de Sûreté Nucléaire - IRSN (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
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Deposited On:07 Mar 2019 08:29

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