Jingwei Geng, Yujie Tian, Wei Wang, 'Exploring a unified EMMS drag model for gas-solid fluidization', Chemical Engineering Science, Volume 251, 117444, 2022 https://doi.org/10.1016/j.ces.2022.117444. (https://www.sciencedirect.com/science/article/pii/S0009250922000288)

Abstract: Gas-solid fluidization is characterized by pervasive, dilute-dense two-phase flow structures, which need mesoscale drag modeling to account for their subgrid effects. The classic formulation of the energy-minimization multi-scale (EMMS) drag modeling requires a semi-empirical correlation of cluster diameter. To avoid using such a phenomenological description of mesoscale structures, in this work, we propose a two-level averaging approach: First, the mean drag in a fine-grid cell is defined as a weighted sum of the drag force in both the dilute and dense phases; Then, the second-level averaging is performed at the coarse-grid scale, where the unified EMMS drag is defined, and determined by performing a series expansion with respect to the phase-mean points of both the dilute and dense phases, respectively. The unified EMMS drag is validated with comparison to fine-grid simulation in a periodic domain and coarse-grid simulation of realistic fluidized beds, both showing fair agreement.
Keywords: Mesoscale; Fluidization; Drag; EMMS; CFD simulation