Theoretical derivation and a priori validation of a new scalar variance-based sub-grid drag force model for simulation of gas–solid fluidized beds
(2024) Powder Technology — Vol. 436, n° 1, p. 119454 (2024)
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- Authors
Simonin, Olivier 
- 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 (𝑅2 > 0.90) for a large range of filter widths and for both Geldart A and Geldart B particles.
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Citations
Hardy, B., Fede, P., & Simonin, O. (2024). Theoretical derivation and a priori validation of a new scalar variance-based sub-grid drag force model for simulation of gas–solid fluidized beds. Powder Technology, 436(1), 119454. https://doi.org/10.1016/j.powtec.2024.119454 (Original work published 2024)