Theoretical Physics/Complex Systems, ICBM, University of Oldenburg, 26129 Oldenburg, Germany.
Phys Rev E. 2017 Jun;95(6-1):062604. doi: 10.1103/PhysRevE.95.062604. Epub 2017 Jun 15.
We investigate the aggregation and fragmentation dynamics of tracers and inertial aggregates in random flows leading to steady-state size distributions. Our objective is to elucidate the impact of changes in aggregation rates due to differences in advection dynamics, especially with respect to the influence of inertial effects. This aggregation process is, at the same time, balanced by fragmentation triggered by local hydrodynamic stress. Our study employs an individual-particle-based model, tracking the position, velocity, and size of each aggregate. We compare the steady-state size distribution formed by tracers and inertial aggregates, characterized by different sizes and densities. On the one hand, we show that the size distributions change their shape with changes in the dilution rate of the suspension. On the other hand, we obtain that the size distributions formed with different binding strengths between monomers can be rescaled to a single form with the use of a characteristic size for both dense inertial particles and tracer monomers. Nevertheless, this last scaling relation also fails if the size distribution contains aggregates that behave as tracer-like and inertial-like, which results in a crossover between different scalings.
我们研究了示踪剂和惯性聚集体在随机流中的聚集和破碎动力学，这些随机流会导致稳定的粒径分布。我们的目标是阐明由于平流动力学的差异导致的聚集速率的变化的影响，特别是惯性效应的影响。这种聚集过程同时受到由局部流体动力应力触发的破碎的平衡。我们的研究采用基于单个颗粒的模型，跟踪每个聚集体的位置、速度和大小。我们比较了由具有不同大小和密度的示踪剂和惯性聚集体形成的稳定的粒径分布。一方面，我们表明粒径分布随着悬浮液稀释率的变化而改变形状。另一方面，我们发现，使用单体的特征尺寸，可以将不同单体之间结合强度形成的粒径分布重新缩放到单个形式，无论是密集的惯性颗粒还是示踪剂单体。然而，如果粒径分布包含表现为示踪剂样和惯性样的聚集体，那么这种最后一种缩放关系也会失效，这会导致不同缩放之间的交叉。
