超声诱导三维微粒子的声泳运动
Ultrasound-induced acoustophoretic motion of microparticles in three dimensions
摘要：
我们推导出三维（3D）声泳运动的球形微粒在矩形微通道的解析表达式。该运动由声辐射力和声流诱导的拖曳力产生。与经典的瑞利流理论相比，我们的理论包括了微通道侧壁的影响。由此产生的预测同意以及与标称直径为0.537 μ m和5.33 μ m的聚苯乙烯球的声泳运动的数值和实验测量。三维粒子运动记录使用散光粒子跟踪测速控制的热和声学条件下，在一个长的，直的，矩形的微通道，在其横向驻波超声波共振模式与一个或两个半波长驱动。声学能量密度的校准原位基于测量的辐射为主的运动的大5-um-直径的颗粒，允许定量比较理论预测和测量的流动引起的运动的小0.5-um-直径的颗粒。
英文摘要：
We derive analytical expressions for the three-dimensional (3D) acoustophoretic motion of spherical microparticles in rectangular microchannels. The motion is generated by the acoustic radiation force and the acoustic streaming-induced drag force. In contrast to the classical theory of Rayleigh streaming in shallow, infinite, parallel-plate channels, our theory does include the effect of the microchannel side walls. The resulting predictions agree well with numerics and experimental measurements of the acoustophoretic motion of polystyrene spheres with nominal diameters of 0.537 um and 5.33 um. The 3D particle motion was recorded using astigmatism particle tracking velocimetry under controlled thermal and acoustic conditions in a long, straight, rectangular microchannel actuated in one of its transverse standing ultrasound-wave resonance modes with one or two half-wavelengths. The acoustic energy density is calibrated in situ based on measurements of the radiation dominated motion of large 5-um-diam particles, allowing for quantitative comparison between theoretical predictions and measurements of the streaming induced motion of small 0.5-um-diam particles.
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