Small-scale particle advection, manipulation and mixing: beyond the hydrodynamic scale

这个项目的目标是对微纳米流体装置中的粒子对流、操纵和混合进行理论研究。计划研究单粒子和多粒子操纵、集体输运效应、边界和粒子间相互作用对不同长度尺度系统动力学的影响等基本问题。此外，具体的应用程序接近实验重要的情况下，具体的设置计划。粒子操纵的主要技术将是行波介电泳（DEP）。然而，由于电振动的类比，它应该是可能的，以扩大我们的方法，声学操纵。在与混合、DEP和声学粒子操纵实验组的密切合作中，我们将考虑小尺度流动中粒子的捕获、积累和聚焦混合的可能性。本着弥合长度尺度的精神，对于相同的问题，我们将应用两种不同的技术：（i）常规流体力学，（ii）介观多粒子碰撞动力学。这种互补的方法是一种合理的方式，不仅可以深入了解小尺度下的动力学，而且可以确定微观机制占主导地位且不可忽视的限度，这是一个无法仅用一种技术正确回答的重要问题。我们将从分析流体流动中单个粒子的动力学开始。在第二步中，这种考虑将推广到许多相互作用粒子的情况。接下来，我们将集中讨论系统在边界附近的行为，以研究边界的影响。最后一个基本步骤将是应用所研究的效果和实验实施。

The goal of this project is a theoretical investigation of particle advection, manipulation and mixing in micro- and nanoscale fluid devices. It is planned to investigate basic questions of single- and many- particle manipulation, collective transport effects, influence of boundaries and interparticle interactions on the dynamics of a system at different length scales. In addition, specific application to concrete setups close to experimentally important situations is planned. The main technique for particle manipulation will be traveling wave dielectrophoresis (DEP). However, because of an electro-vibration analogy it should be possible to extend our approach for acoustic manipulation. In a close collaboration with experimental groups on mixing, DEP and acoustic particle manipulation we will consider the possibilities of capture, accumulation and focusing mixing of particles in small-scale flows.In the spirit of bridging the length scales, for the same problems we will apply two different tech- niques: (i) conventional hydrodynamics, (ii) mesoscopic multi-particle collision dynamics. Such a complementary approach is a reasonable way not only to get a deep insight into the dynamics at small scales but also to determine the limits up to which the micro mechanisms dominate and cannot be neglected, an important question that cannot be properly answered with only one technique. We will start with the analysis of the dynamics of a single particle in a fluid flow. At the second step, this consideration will be generalized for the case of many interacting particles. Next, we will concentrate on the behavior of the system close to a boundary to study the impact of the boundary. The last basic step will be application of the studied effects and experimental implementation.