Models of squeezing a droplet through a constrictions have wide applications in nature and engineering. In the present research, we found the minimum impulse required (momentum change) to squeeze a droplet through at different velocities. Our theoretical work result in an analytical expression of the critical velocity with minimum impulse. At this expression, we found a force balance between the average surface tension and the dynamic pressure loss at the channel inlet and outlet. Finally, we also compared the analytical results with numerical simulations. These results are important to understand some biological process and design of microscale filters.

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