倾斜搓板电位作用下颗粒的运动轨迹:微通道中高通量声电泳的应用
Trajectory of particles exposed to a tilted-angle washboard potential: application to high-throughput acoustophoresis in microchannels
摘要:
基于声波、电场、光学图案等的各种倾斜搓板电位已被应用于微通道中的颗粒分选。本文从理论上分析了粒子在与流动成倾斜角$θ$的搓板势中的运动轨迹。根据分选阻力比$ε$,我们确定了两个不同的制度之间的粒子运动:漂移和锁定模式的过渡阈值$ε= \cos(θ)$。在漂移模式下,粒子遵循振荡轨迹,其斜率由$\frac{ε^2}{2}\tan(θ)$给出,而在锁定模式下,轨迹斜率由$1/\tan(θ)$给出。这些理论预测同意定量以及与先前公布的实验数据,并可能有助于高性能的微流体分选装置的设计。
英文摘要:
A wide variety of tilted washboard potentials based on acoustic waves, electric fields, optical patterns and so on have been applied to sort particles in microchannels. In this paper, we present a theoretical analysis of the particles trajectory in a washboard potential making a tilt angle $θ$ with the flow. Depending on the sorting to drag force ratio $ε$, we identified a transition threshold $ε= \cos(θ)$ between two distinct regimes of particles motion: drift and locked modes. In drift mode, the particles follow an oscillating trajectory which slope is given by $\frac{ε^2}{2}\tan(θ)$, while in locked mode the trajectory slope is given by $1/\tan(θ)$. These theoretical predictions agree quantitatively well with previously published experimental data and may help in the design of high-performance microfluidic sorting devices.
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