论文标题
使用Saffman效应对惯性微流体中胶体轨迹的最佳控制
Optimal control of colloidal trajectories in inertial microfluidics using the Saffman effect
论文作者
论文摘要
在Poiseuille流中的惯性微流体胶体粒子中，Segré-Silberberg升力力量将它们驱动到通道横截面中的特定位置。由于Saffman效应，沿微通道施加的外力诱导了横流线迁移到新的平衡位置。我们应用最佳控制理论来设计轴向控制力的时间协议，以便尽可能准确地从通道入口转移到所选目标位置的出口。我们讨论了粒子半径和通道长度的影响，并表明最佳转向比使用恒定控制力便宜。使用单个优化的控制力协议，我们证明，即使是沿通道轴散布的粒子脉冲也可以转向目标，并且不同半径的颗粒可以最有效地分隔。
In inertial microfluidics colloidal particles in a Poiseuille flow experience the Segré-Silberberg lift force, which drives them to specific positions in the channel cross section. Due to the Saffman effect an external force applied along the microchannel induces a cross-streamline migration to a new equilibrium position. We apply optimal control theory to design the time protocol of the axial control force in order to steer a single particle as precisely as possible from a channel inlet to an outlet at a chosen target position. We discuss the influence of particle radius and channel length and show that optimal steering is cheaper than using a constant control force. Using a single optimized control-force protocol, we demonstrate that even a pulse of particles spread along the channel axis can be steered to a target and that particles of different radii can be separarted most efficiently.
