论文标题
在Hele-Shaw细胞中的障碍物周围的三维流媒
Three-dimensional streaming around an obstacle in a Hele-Shaw cell
论文作者
论文摘要
由于惯性整流而在障碍物周围的振荡流应用驱动稳定的``流媒体''，这已用于许多微流体应用中。尽管理论主要集中在二维（2D）流上，但由于限制，许多实用的微流体设备中的流媒体是三维（3D）。我们在微通道中的障碍物中开发了三维流媒体理论，其几何形状（类似于几何），其中一个维度（深度）比其他两个维度短得多。利用惯性润滑理论，我们证明了时间平均流动流具有三维结构。值得注意的是，流跨通道深度的方向变化，这是在较不受限制的流式设置中未观察到的功能。我们的实验在夹在微通道中的圆柱体周围流式传输的实验证实了这一功能。我们的理论还预测，流速度是距圆柱体距离的倒数立方体的趋势，比以前的二维方法所期望的要快。我们使用粒子跟踪测量值从不同驱动频率下具有不同纵横比的圆柱体的实验进行定量验证该衰减速率。
The application of oscillatory flow around an obstacle drives a steady ``streaming'' due to inertial rectification, which has been used in a host of microfluidic applications. While theory has focused largely on two-dimensional (2D) flows, streaming in many practical microfluidic devices is three-dimensional (3D) due to confinement. We develop a three-dimensional streaming theory around an obstacle in a microchannel with a Hele-Shaw like geometry, where one dimension (depth) is much shorter than the other two dimensions. Utilizing inertial lubrication theory, we demonstrate that the time-averaged streaming flow has a three-dimensional structure. Notably, the flow changes direction across the depth of the channel, which is a feature not observed in less confined streaming setups. This feature is confirmed by our experiments of streaming around a cylinder sandwiched in a microchannel. Our theory also predicts that the streaming velocity decays as the inverse cube of the distance from the cylinder, faster than that expected from previous two-dimensional approaches. We verify this decay rate quantitatively using particle tracking measurements from experiments of streaming around cylinders with different aspect ratios at different driving frequencies.
