Pohlman Nicholas A, Severson Benjamin L, Ottino Julio M, Lueptow Richard M
Department of Mechanical Engineering, Northwestern University, Evanston, Illinois 60208, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2006 Mar;73(3 Pt 1):031304. doi: 10.1103/PhysRevE.73.031304. Epub 2006 Mar 16.
We investigate the effect of nanoscale variations in the surface roughness of individual particles on macroscale granular flow characteristics. Experiments were conducted in circular rotating tumblers with smooth and rough 2 and 3 mm steel particles. The smooth beads had a rms surface roughness of approximately 30 to 60 nm; rough beads had a surface roughness of approximately 240 to 350 nm. The dynamic angle of repose for rough particles increased by 10 degrees to 25 degrees over that of smooth particles over a wide range of rotation speeds. Even though surface roughness affects the angle of repose, we were unable to detect any segregation of bidisperse mixtures of rough and smooth particles in the radial direction in two-dimensional (2D) tumblers. Furthermore, no axial banding segregation occurred in 3D tumblers, both cylindrical and spherical. For mixtures of smooth and rough particles, the angle of repose increased monotonically with increasing concentration of rough particles. Particle dynamics simulations verified that the dependence of the angle of repose on the concentration of rough particles can be directly related to the coefficient of friction of the particles. Simulations over a broad range of friction parameters failed to induce segregation solely from differences in the angle of repose. These results indicate that nanoscale surface roughness can affect the flowability and angle of repose of granular matter without driving demixing of the bulk granular material.
我们研究了单个颗粒表面粗糙度的纳米级变化对宏观颗粒流特性的影响。实验在装有光滑和粗糙的2毫米及3毫米钢颗粒的圆形旋转转鼓中进行。光滑珠子的均方根表面粗糙度约为30至60纳米;粗糙珠子的表面粗糙度约为240至350纳米。在很宽的转速范围内,粗糙颗粒的动态休止角比光滑颗粒的动态休止角大10度至25度。尽管表面粗糙度会影响休止角,但我们在二维转鼓中未能检测到粗糙颗粒与光滑颗粒的双分散混合物在径向方向上的任何分离现象。此外,在圆柱形和球形的三维转鼓中均未发生轴向带状分离现象。对于光滑颗粒与粗糙颗粒的混合物,休止角随粗糙颗粒浓度的增加而单调增加。颗粒动力学模拟证实,休止角对粗糙颗粒浓度的依赖性可直接与颗粒的摩擦系数相关。在广泛的摩擦参数范围内进行的模拟未能仅因休止角的差异而导致分离现象。这些结果表明,纳米级表面粗糙度可影响颗粒物质的流动性和休止角,而不会导致整体颗粒材料的分层。