摘要
The correction of buoyancy effects is tackled for particles moving close to a singular corner in creeping flow conditions.A few density-mismatched particle trajectories are used to reconstruct the dynamics of a neutrally-buoyant particle all over the target domain.We propose to take advantage of the dissipative dynamics of density-mismatched particles in order to probe the target domain.Thereafter,we retrieve the neutrally-buoyant particle flow all over the domain by reconstructing the phase space of the density-mismatched particulate flow and taking the limit of the particle-to-fluid density ratio tending to one.The robustness of such an approach is demonstrated by deliberately ill-conditioning the reconstruction operator.In fact,we show that our algorithm well performs even when we rely on qualitatively-different density-mismatched orbit topologies or on bundles of close trajectories rather than homogeneously distributed orbits.Potential applications to microfluidics and improvements of the proposed algorithm are finally discussed.
在蠕动流动条件下,针对靠近奇异角移动的颗粒进行悬浮效应修正.一些密度不匹配的粒子轨迹被用来重建整个目标区域的中性悬浮粒子的动力学.我们建议利用密度不匹配粒子的耗散动力学来探测目标区域.然后,通过重建密度不匹配颗粒流的相空间,并将颗粒与流体密度比的极限值取为1,检索整个区域的中性浮力颗粒流.这种方法的鲁棒性通过对重建算子的目标函数实行有目的抖动(ill-conditioning)来证明.事实上,我们证明即使是依赖于质量不同、密度不匹配的轨道拓扑,或者依赖于密集的轨道束,而不是均匀分布的轨道,我们的算法也能很好地执行.最后讨论了该算法在微流体领域的潜在应用和改进.
