重力驱动湿颗粒自由表面沿斜面向下流动:倾角的影响

T. Vo, Trung‐Kien Nguyen, C. T. Nguyen
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摘要

湿粒状材料沿斜面向下流动是多领域工程中普遍存在的问题。尽管对此类流动的流动性进行了广泛的研究,但由于颗粒之间的黏结力和倾斜角的任意性,我们对此类流动的理解受到限制。本文采用包含毛细黏聚规律的广义离散元方法,研究了倾斜角度对重力驱动湿颗粒自由表面流定常状态下速度分布和力分布的影响。由于邻近颗粒之间存在液体桥,毛细管引力增强了毛细管内聚定律。结果表明,相对于倾斜表面的黏聚效应和粗糙效应,湿颗粒材料的迁移受倾斜角度的强烈控制,这是由于颗粒的重力效应占主导地位。这些观察结果与以往在斜面上颗粒坍塌的实验工作相一致。此外,在其稳态流动中,颗粒状物质稳定地分离成两个不同的流动区域:固体状流动和流体状流动,这些流动的深度强烈依赖于倾角的值。更有趣的是,在具有不同特征的类固体和类流体区域中,倾角也强烈地支配着法向力和切向力的拉伸和压缩分量的密度和强度。
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Gravity-driven wet granular free-surface flows down an inclined plane: Effects of the inclination angle
Wet granular materials flowing down an inclined plane are omnipresent in multi-field engineering. Although extensive research has been carried out to investigate the flowability of such flows, our understanding of the flows like landslides is limited due to the presence of the cohesive forces between particles and the arbitrarity of inclination angle. In this paper, we explore the effects of the inclination angle on the velocity profiles and force distribution of the gravity-driven wet granular free-surface flows in the steady-flowing state by means of an extensive discrete element method with the inclusion of the capillary cohesion law. This capillary cohesion law is enhanced by the capillary attraction force due to the presence of the liquid bridges between near-neighboring particles. The results show that the mobility of wet granular materials is strongly controlled by the inclination angle due to the domination of the gravity effects of particles as compared to the cohesion effects and rough effects of the inclined surface. These observations are consistent with the previous experimental work done on the granular collapse on an inclined plane. Furthermore, in its steady-state flow, the granular materials separate stably into two different flowing regions: solid-like and fluid-like flows, and the depth of these flows strongly depends on the values of the inclination angle. More interestingly, the inclination angle also strongly governs the density and intensity of the tensile and compressive components of the normal forces and tangential forces in both solid-like and fluid-like regions with different characteristics.
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