• Acta Physica Sinica
  • Vol. 68, Issue 23, 234501-1 (2019)
Si-Qiang Wang and Shun-Ying Ji*
DOI: 10.7498/aps.68.20191071 Cite this Article
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 Copy Citation Text show less
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. 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
Contact detection between super-quadric particles超二次曲面单元间的接触检测
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
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) 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
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. 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)
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) ωr = 20 r/min的椭球颗粒(σ = 3.0); (b) ωr = 40 r/min的椭球颗粒(σ = 3.0); (c) ωr = 20 r/min的球体颗粒(σ = 1.0); (d) ωr = 20 r/min的椭球颗粒(σ = 0.5)
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) ωr = 20 r/min的椭球颗粒(σ = 3.0); (b) ωr = 40 r/min的椭球颗粒(σ = 3.0); (c) ωr = 20 r/min的球体颗粒(σ = 1.0); (d) ωr = 20 r/min的椭球颗粒(σ = 0.5)
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. 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
Mixing rate of the ellipsoid and spherical particles varies with the fill level at ωr = 30 r/minωr = 30 r/min时椭球和球形颗粒的混合率随填充分数的变化
Fig. 7. Mixing rate of the ellipsoid and spherical particles varies with the fill level at ωr = 30 r/min ωr = 30 r/min时椭球和球形颗粒的混合率随填充分数的变化
Mixing rate and initial packing fraction under various aspect ratios at 30 r/min: (a) Mixing rate; (b) initial packing fractionωr = 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. 8. Mixing rate and initial packing fraction under various aspect ratios at 30 r/min: (a) Mixing rate; (b) initial packing fractionωr = 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
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. 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)
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. 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)
Translational and rotational kinetic energy at 30 and 50 r/min for spheres and ellipsoids: (a) Average translational kinetic energy; (b) average rotational kinetic energyωr = 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
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 energyωr = 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
参数符号单位数值参数符号单位数值
弹性模量EGPa1.0颗粒间摩擦系数μs0.3
泊松比ν0.3法向阻尼系数Cn0.05
颗粒密度ρkg/m31150.0切向阻尼系数Ct0.05
颗粒与圆筒的摩擦系数μws0.9时间步长dts1 × 10–6
Table 1. DEM simulation parameters of ellipsoids
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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