直接拦截还是惯性撞击？效率幂律的理论推导及捕获模的简单实用定义
Direct interception or inertial impaction? A theoretical derivation of the efficiency power law for a simple and practical definition of capture modes
摘要：
本文研究了绕固定圆柱流动中平流粒子的捕获问题。我们从理论上推导出捕获效率的幂律，通常只通过数据拟合获得。粒子轨迹的模拟表明，被捕获的粒子遵循幂律小于圆柱体的边界层，并经历直接拦截，而从它发散的粒子较大，并观察惯性碰撞。我们表明，一个简单的比较颗粒大小和边界层厚度分裂准确的数值结果到他们的主导捕获模式。该判据在实验和模拟中是实用的，并将解除捕获效率缩放的争议。
英文摘要：
We study the capture of particles advected by flows around a fixed cylinder. We derive theoretically the power law of the capture efficiency, usually obtained from data fitting only. Simulations of particle trajectories reveal that captured particles following the power law are smaller than the boundary layer of the cylinder and experience direct interception, whereas the ones diverging from it are larger and observe inertial impaction. We show that a simple comparison between the particle size and boundary layer thickness splits accurately numerical results into their dominant capture mode. This criterion is practical in experiments and simulations, and would lift the controversy on the scaling of the capture efficiency.
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