Souzy Mathieu, Zuriguel Iker, Marin Alvaro
Physics of Fluids, University of Twente, Enschede, The Netherlands.
Departamento de Física, Facultad de Ciencias, Universidad de Navarra, Pamplona, Spain.
Phys Rev E. 2020 Jun;101(6-1):060901. doi: 10.1103/PhysRevE.101.060901.
When suspended particles are pushed by liquid flow through a constricted channel, they might either pass the bottleneck without trouble or encounter a permanent clog that will stop them forever. However, they may also flow intermittently with great sensitivity to the neck-to-particle size ratio D/d. In this Rapid Communication, we experimentally explore the limits of the intermittent regime for a dense suspension through a single bottleneck as a function of this parameter. To this end, we make use of high time- and space-resolution experiments to obtain the distributions of arrest times (T) between successive bursts, which display power-law tails (∝T^{-α}) with characteristic exponents. These exponents compare well with the ones found for as disparate situations as the evacuation of pedestrians from a room, the entry of a flock of sheep into a shed, or the discharge of particles from a silo. Nevertheless, the intrinsic properties of our system (i.e., channel geometry, driving and interaction forces, particle size distribution) seem to introduce a sharp transition from a clogged state (α≤2) to a continuous flow, where clogs do not develop at all. This contrasts with the results obtained in other systems where intermittent flow, with power-law exponents above two, were obtained.
当悬浮颗粒在液流推动下通过狭窄通道时,它们可能顺利通过瓶颈,也可能遭遇永久性堵塞从而被永远阻挡。然而,它们也可能间歇性流动,且对颈口与颗粒尺寸之比D/d极为敏感。在本快报中,我们通过实验探究了密集悬浮液通过单个瓶颈时间歇性状态的极限,并将其作为该参数的函数。为此,我们利用高时空分辨率实验来获取连续爆发之间的停滞时间(T)分布,这些分布呈现出具有特征指数的幂律尾部(∝T^{-α})。这些指数与在诸如行人从房间疏散、一群羊进入棚舍或颗粒从筒仓排出等截然不同的情况中发现的指数相当。尽管如此,我们系统的固有特性(即通道几何形状、驱动力和相互作用力、颗粒尺寸分布)似乎引入了从堵塞状态(α≤2)到完全不会形成堵塞的连续流动的急剧转变。这与在其他系统中获得的结果形成对比,在那些系统中得到的是幂律指数大于2的间歇性流动。