Si-Qiang Wang, Shun-Ying Ji. Mixing characteristics of ellipsoidal granular materials in horizontal rotating drum based on analysis by discrete element method [J]. Acta Physica Sinica, 2019, 68(23): 234501-1

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- Acta Physica Sinica
- Vol. 68, Issue 23, 234501-1 (2019)

Fig. 1. Super-quadric discrete element model of spherical and ellipsoidal elements: (a) a = b = 2c ; (b) a = b = c ; (c) a = b = 0.5c 球体和椭球的超二次曲面离散元模型 (a) a = b = 2c ; (b) a = b = c ; (c) a = b = 0.5c

Fig. 2. Contact detection between super-quadric particles超二次曲面单元间的接触检测
![Comparison of mixing process between experiment results[31] and DEM simulation results at different rotating speeds: (a) Mixing pattern at 20 r/min; (b) Lacey mixing index at 20 r/min; (c) Lacey mixing index at 40 r/min.不同转动圈数下颗粒混合过程的实验结果[31]和离散元数值结果的对比 (a) ωr = 20 r/min的流动图案; (b) ωr = 20 r/min的Lacey混合指数; (c) ωr = 40 r/min的Lacey混合指数](/Images/icon/loading.gif)
Fig. 3. Comparison of mixing process between experiment results[31] and DEM simulation results at different rotating speeds: (a) Mixing pattern at 20 r/min; (b) Lacey mixing index at 20 r/min; (c) Lacey mixing index at 40 r/min.
不同转动圈数下颗粒混合过程的实验结果[31]和离散元数值结果的对比 (a) ω r = 20 r/min的流动图案; (b) ω r = 20 r/min的Lacey混合指数; (c) ω r = 40 r/min的Lacey混合指数

Fig. 4. Schematic diagram of three-dimensional horizontal drum simulated by DEM model (a) and examples of ellipsoids with different aspect ratios (b)三维水平圆筒的离散元数值模型(a)和不同长宽比的椭球模型(b)

Fig. 5. The influence of rotating speed and aspect ratio on the mixing process: (a) Ellipsoids (σ = 3.0) at 20 r/min; (b) ellipsoids (σ = 3.0) at 40 r/min; (c) sphere (σ = 1.0) at 20 r/min; (d) ellipsoids (σ = 0.5) at 20 r/min
旋转速度和颗粒长宽比对混合过程的影响 (a) ω r = 20 r/min的椭球颗粒(σ = 3.0); (b) ω r = 40 r/min的椭球颗粒(σ = 3.0); (c) ω r = 20 r/min的球体颗粒(σ = 1.0); (d) ω r = 20 r/min的椭球颗粒(σ = 0.5)

Fig. 6. The influence of rotating speed and particle shape on the Lacey mixing index and mixing rate: (a) Ellipsoids (σ = 0.5); (b) ellipsoids (σ = 3.0); (c) mixing rate.
旋转速度和颗粒形状对Lacey混合指数和混合率的影响 (a) 椭球颗粒(σ = 0.5); (b) 椭球颗粒(σ = 3.0); (c) 混合率

Fig. 7. Mixing rate of the ellipsoid and spherical particles varies with the fill level at ω r = 30 r/min
ω r = 30 r/min时椭球和球形颗粒的混合率随填充分数的变化

Fig. 8. Mixing rate and initial packing fraction under various aspect ratios at 30 r/min: (a) Mixing rate; (b) initial packing fractionω r = 30 r/min时椭球颗粒的混合率和初始体积分数的变化 (a)混合率; (b)初始密集度

Fig. 9. The velocity profiles of granular bed for differently shaped particles: (a) Ellipsoids (σ = 0.5); (b) spheres (σ = 1.0); (c) ellip-soids (σ = 3.0)
不同转速下球体和椭球颗粒的速度分布 (a) 椭球(σ = 0.5); (b) 球体(σ = 1.0); (c) 椭球(σ = 3.0)

Fig. 10. Translational and rotational kinetic energy at different rotating speeds for differently shaped particles: (a), (b) Ellipsoids (σ = 0.5); (c), (d) spheres (σ = 1.0); (e), (f) ellipsoids (σ = 3.0)
在不同转速下球体和椭球颗粒的平动动能和转动动能随时间的变化 (a), (b) 椭球(σ = 0.5); (c), (d) 球体(σ = 1.0); (e), (f) 椭球(σ = 3.0)

Fig. 11. Translational and rotational kinetic energy at 30 and 50 r/min for spheres and ellipsoids: (a) Average translational kinetic energy; (b) average rotational kinetic energyω r = 30和50 r/min时球体和椭球颗粒的平动和转动动能 (a)平均平动动能; (b)平均转动动能
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Table 1. DEM simulation parameters of ellipsoids
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