标题： 惯性粒子的凝结与破碎动力学 显示英文标题

标题： Coagulation and fragmentation dynamics of inertial particles

摘要： 在许多自然和工业流动中悬浮的惯性粒子在碰撞时会发生凝聚，如果它们的尺寸变得太大或经历大的剪切力时会发生破碎。 在这里，我们研究时间周期不可压缩流动中的这种凝聚-破碎过程。 我们发现这个过程会趋近于一个渐近的、动态的稳定状态，其中每个尺寸的粒子的平均数量大致保持不变。 我们比较了两种破碎机制以及不同流动对应的稳定状态尺寸分布，发现稳定状态主要与凝聚过程无关。 虽然碰撞率决定了瞬态行为，但破碎决定了稳定状态。 例如，对于由剪切引起的破碎，如果剪切力的时间或空间变化相似，具有非常不同的局部粒子浓度的流动可能会导致类似的粒子尺寸分布。 显示英文摘要

摘要： Inertial particles suspended in many natural and industrial flows undergo coagulation upon collisions and fragmentation if their size becomes too large or if they experience large shear. Here we study this coagulation-fragmentation process in time-periodic incompressible flows. We find that this process approaches an asymptotic, dynamical steady state where the average number of particles of each size is roughly constant. We compare the steady-state size distributions corresponding to two fragmentation mechanisms and for different flows and find that the steady state is mostly independent of the coagulation process. While collision rates determine the transient behavior, fragmentation determines the steady state. For example, for fragmentation due to shear, flows that have very different local particle concentrations can result in similar particle size distributions if the temporal or spatial variation of shear forces is similar.