Abstract To account for the sub-grid heterogeneity of gas-solid flow in the multi-phase particle-in-cell (MP-PIC) method, a structure-dependent drag model is proposed in this work by taking into account the particle/parcel position information. The parcel is viewed as a cluster of particles. The local, inter-parcel porosity is calculated by using the method of smoothed particle hydrodynamics (SPH), while the intra-parcel porosity and the diameter of cluster are closed by using the energy-minimization multi-scale (EMMS) model. The local velocities of gas phase and different solid parcels are determined by using the constraint of pressure drop balance between phases as in the EMMS model. The drag force acting on each parcel is then determined with the sub-grid information of velocities and porosities. A bubbling fluidized bed and a circulating fluidized bed riser are simulated to validate this drag model. And the results show good agreements with experimental data.

中文翻译：

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用于流化的多相颗粒胞内模拟的子网格 EMMS 阻力

摘要 为了考虑多相颗粒胞内（MP-PIC）方法中气固流的亚网格非均质性，本文提出了一种考虑颗粒/包裹体的结构相关阻力模型。位置信息。该包裹被视为一组粒子。使用平滑粒子流体动力学（SPH）方法计算局部包裹间孔隙度，而使用能量最小化多尺度（EMMS）模型封闭包裹内孔隙度和簇直径。气相和不同固体块的局部速度是通过使用相间压降平衡的约束来确定的，如在 EMMS 模型中。然后用速度和孔隙率的子网格信息确定作用在每个地块上的阻力。模拟鼓泡流化床和循环流化床立管以验证该阻力模型。结果表明与实验数据吻合良好。