This paper presents a microfluidic approach that dynamically controls the hydrodynamic flow and the streamlines to enable complex multi-particle manipulations within a single device. The approach combines the design of a flow-through microfluidic Hele-Shaw flow cell together with an optimization procedure to find a priori optimal particle pathlines, and an effective proportional-integral-derivative (PID) feedback controller to provide real-time control over the particle manipulations. In the device, particles are manipulated with hydrodynamic forces, by using a uniform flow through the flow cell and three inlets perpendicular to the flow cell. The streamlines within the device are manipulated by injecting or extracting fluid through the three inlets. The Hele-Shaw geometry allows a fast and accurate prediction of the particle trajectory, meaning only a simple PID controller is required to correct for particle deviations. The robustness of this approach is demonstrated by implementing multiple functions within the device, including particle trapping, particle sorting, particle separation, and assembly. The real-time control procedure affords accurate particle manipulation, with a maximum error on the order of the diameter of the particle.

Abstract: In microscopic particle image velocimetry (micro-PIV), correlation averaging over multiple frames is often required, leading to a loss in temporal resolution, therefore limiting the measurement accuracy for unsteady flows. Here, we present a new PIV method suitable to study steady and unsteady laminar flows between parallel plates (i.e., Hele-Shaw flow), which is a common flow configuration in microfluidic applications. Our method reduces the effective seeding density and yields similar if not higher signal-to-noise ratio (SNR) compared to conventional micro-PIV. We call this algorithm Ψ -PIV. Ψ -PIV requires a much smaller number of frames to reach the same SNR compared to the widely used correlation averaging method. This leads to a significant improvement of the temporal resolution. The Ψ -PIV algorithm is used in an experimental investigation of steady and unsteady flows in a Hele-Shaw cell. Our experiment shows that Ψ -PIV reduces the number of required frames by 8 times and 30 times compared to the frames required by conventional PIV for steady and unsteady laminar flow, respectively. In this study, PIV and Ψ -PIV use a single-pass cross-correlation to present the underlying difference between the two approaches. Graphic abstract: [Figure not available: see fulltext.].