Drops in finite Reynolds number Poiseuille flows are well known to settle down between the channel centerline and the walls at a location that depends on the drop properties. Motivated by recent interest in using the Segre-Silberberg effect to sort particles here we examine how two or more drops interact and, in particular, how crowded the channel can be before the drops no longer settle down to a steady equilibrium position. The results show that drops spaced several diameters apart settle down at the similar locations as an isolated drop, spaced evenly along the channel, either on one side of the channel or in two rows on either side of the centerline. As the average distance between the drops is reduced, eventually they start to interact strongly and never settle down to a steady state position. The boundary between when the drops settle down and when they do not is relatively sharp and we examine how it depends on the viscosity of the drops and their deformability.
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Threshold Volume Fraction of Multiple Droplets undergoing Inertial Focusing in a Channel with Poiseuille Flow