粒径分形分布对颗粒流体系流动特性的影响

Gao Zhao-ning, Li Ying-ming
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引用次数: 1

摘要

根据颗粒流的一般本构方程,利用大型室内相对密度计和直剪仪,实验研究了粒径分形分布对孔隙度和内摩擦角的影响。结果表明:在物理密度、弹性恢复系数和几何平均中位粒径相同的情况下,孔隙度随分形维数的增大而增大,内摩擦角、颗粒浓度、剪应力和法向应力系数均减小;进一步分析粒度分形分布对颗粒流体系流动特性的影响,发现分形维数较小的体系,剪切应力大,流体性能差,鲁棒性强;而分形维数较大的体系,剪切应力小,流体性能好,敏感性强。重点讨论了分形特性对颗粒材料崩塌流动行为的影响机理,为颗粒流动体系的研究提供了新的思路。
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Impact of Size Fractal Distribution on Flow Behavior of Granular Flow System
According to the general constitutive equation of granular flow, impact of size fractal distribution on porosity and internal friction angle was studied experimentally with large-scale indoor relative densitometer and direct shear apparatus. The results show that, under the condition of the same physical density, elastic recovery coefficient and the geometric mean median granular size, porosity increases with fractal dimension increasing, meanwhile, the internal friction angle, particle concentration, shear stress and normal stress coefficients declines. Further more, in term of analysis on impact of size fractal distribution on flow behavior of granular flow system, it is found that, as for the system with smaller fractal dimension, shear stress is large and the fluid is poor and robustness is strong, On the contrary, as for the system with larger fractal dimension, shear stress is small and the fluid is good and sensitivity is strong. The discussion focuses on the mechanism of impact of fractal characteristics on collapse flow behavior of granular material, which offers a new idea for the study of granular flow system.
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