Theoretical derivation and a priori validation of a new scalar variance-based sub-grid drag force model for simulation of gas–solid fluidized beds

Journal Article (2024)
Authors

B. Hardy (Université de Toulouse)

Pascal Fede (Université de Toulouse)

Olivier Simonin (Université de Toulouse)

Affiliation
External organisation
To reference this document use:
https://doi.org/10.1016/j.powtec.2024.119454
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Publication Year
2024
Language
English
Affiliation
External organisation
Volume number
436
DOI:
https://doi.org/10.1016/j.powtec.2024.119454

Abstract

A novel sub-grid drag force model is proposed for coarse-grid Euler–Euler simulation of gas–solid fluidized beds. Starting from a transport equation for the drift velocity, an equilibrium condition is used as a basis to derive a new algebraic drift velocity model. The sub-grid correlations that show up are closed by a large-eddy PDF approach inspired from LES of turbulent reacting flows. The new analytical model only depends on the resolved slip velocity and on a few sub-grid moments of the solid volume fraction. Then, a conditional averaging procedure shows that the new model can be properly captured by a simple functional expression that only requires a closure for the sub-grid variance of the solid volume fraction. A priori validation studies show that the drift velocity is predicted with high accuracy (R
2>0.90) for a large range of filter widths and for both Geldart A and Geldart B particles.

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