Calibration of microfluidic acoustic trapping force on single microdroplet

It was recently demonstrated that it was possible to individually trap micron-sized droplets flowing within a microfluidic channel by a focused ultrasound beam. The sound beam emitted from a 24 MHz single element piezo-composite transducer created a restoring force on 50 ??m droplets that act like an elastic spring. In order to further develop this noninvasive approach as a microfluidic separation tool of high precision, the trapping mechanism must be quantitatively characterized by calibrating the applied body forces to known forces, i.e., viscous drag forces arising from the fluid flow in the channel. In order to do so, the trapping force (F_trapping) and its trap stiffness (or compliance k) were experimentally measured under various conditions. The Chebyshev-windowed chirp coded excitation signal drove the transducer, transmitting sufficient beam energy through the channel wall before the incident beam interrogated the droplets inside the channel. The minimum force (F_min,trapping) needed for initially immobilizing drifting droplets was determined as a function of pulse repetition frequency (PRF), duty factor (DTF), and input voltage amplitude (V_in) to the transducer. For example, Fmin,trapping was increased to 3.8 nN at PRF = 0.1 kHz. With variable PRF, Fmin,trapping was found to be as high as 6.7 nN at Vin = 54 V_pp and PRF = 0.5 kHz. These findings indicate that both higher driving voltage and more frequent beam transmission enable stronger traps for holding droplets in motion. For estimating k through linear regression, the drag force displaced a trapped droplet by a certain distance x parallel to the flow direction while the trap was activated. By plotting the measured F_trapping ??? x curves for different values of V_in (22/38/54 V_pp) at DTF = 10 % and PRF = 0.1 kHz, k was measured to be 0.09, 0.14, and 0.20 nN/??m, respectively. With variable PRF from 0.1 to 0.5 kHz at V_in - 54 V_pp, k was increased from 0.20 to 0.42 nN/??m. The results show that a higher PRF produces a more compliant trap formation, in turn, a stronger F_trapping. They suggest that this acoustic trapping method has the potential as a noninvasive tool for manipulating individual targeted particles in microfluidic channels by adjusting the applied force associated with the transducer???s excitation parameters.