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Numerical Simulation of Single Microparticle Trajectory in an Electrodynamic Balance

机译:电动平衡中单个微粒轨迹的数值模拟

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摘要

By introducing Oseen's formula to describe the viscous drag force, a more complete motion equation for a charged microparticle levitated in an electrodynamic balance (EDB) has been put forward and solved numerically by the classic Runge-Kutta method in this paper. The theoretical results have firstly demonstrated the existence of the particle oscillations and their characteristics, especially of the springpoint oscillation at large amplitude. And through the comparisons of theoretical and experimental trajectories, the adopted motion equation has proved to be able to rigorously describe the particle motion in non-Stokes region―the shape of trajectory and frequency characteristics are fairly consistent and the deviations of amplitude can usually be less than 10%.
机译:通过引入Oseen的公式来描述粘性阻力,本文提出了一个更完整的悬浮在电动平衡(EDB)中的带电微粒运动方程,并通过经典的Runge-Kutta方法对其进行了数值求解。理论结果首先证明了粒子振荡的存在及其特性,特别是大振幅下的弹跳振荡。并通过理论和实验轨迹的比较,证明所采用的运动方程能够严格描述非斯托克斯区的粒子运动-轨迹的形状和频率特性相当一致,振幅的偏差通常较小。超过10%。

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