Valverde JM, Castellanos A, Ramos A, Watson PK
Departmento de Electronica y Electromagnetismo, Universidad de Sevilla, Avenido Reina Mercedes s/n, 41012 Sevilla, Spain.
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 2000 Nov;62(5 Pt B):6851-60. doi: 10.1103/physreve.62.6851.
We have investigated the onset of avalanches in fine, cohesive granular materials. In our experiments shear stress is generated by tilting an initialized bed of powder and increasing the angle of tilt until the powder avalanches. We find that the angle alpha of the avalanche decreases with increasing bed width. The avalanche depth increases with the bed width and, in all cases, is of the order of several millimeters, which is much greater than the particle size. We carry out a macroscopic analysis of the avalanche process based on Coulomb's method of wedges. This analysis shows the fundamental role played by powder cohesion and boundary conditions on avalanches in fine cohesive powders. This behavior contrasts with the behavior of noncohesive grains, such as dry sand, where avalanches consist of superficial layers of about ten grains. The reason behind this is that for our experimental powders (particle diameter approximately 10 &mgr;m) the van der Waals interparticle adhesive force exceeds several orders of magnitude particle weight. Adhesive forces oppose gravity, and as a result fine cohesive powders settle in very open structures as compared to noncohesive granular materials. Because of the dominance of adhesive forces over particle weight, our materials behave more like wet sand.
我们研究了细颗粒粘性材料中雪崩的发生情况。在我们的实验中,通过倾斜初始的粉末床并增加倾斜角度直至粉末雪崩来产生剪切应力。我们发现,雪崩的角度α随着床宽的增加而减小。雪崩深度随床宽增加,并且在所有情况下都为几毫米量级,这远大于颗粒尺寸。我们基于库仑楔体法对雪崩过程进行了宏观分析。该分析表明了粉末粘性和边界条件在细颗粒粘性粉末雪崩中所起的基本作用。这种行为与非粘性颗粒(如干沙)的行为形成对比,在干沙中,雪崩由大约十层颗粒的表层组成。其背后的原因是,对于我们的实验粉末(粒径约为10μm),范德华颗粒间粘附力超过颗粒重量几个数量级。粘附力对抗重力,因此与非粘性颗粒材料相比,细颗粒粘性粉末以非常开放的结构沉降。由于粘附力对颗粒重量的主导作用,我们的材料表现得更像湿沙。