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We experimentally study the shear flow of oil-in-water emulsion droplets in athin sample chamber with a hopper shape. In this thin chamber, the droplets arequasi-2D in shape. The sample is at an area fraction above jamming and forcedto flow with a constant flux rate. Stresses applied to a droplet from itsneighbors deform the droplet outline, and this deformation is quantified toprovide an ad hoc measure of the stress. As the sample flows through the hopperwe see large fluctuations of the stress, similar in character to what has beenseen in other flows of complex fluids. Periods of time with large decreases instress are correlated with bursts of elementary rearrangement events ("T1events" where four droplets rearrange). More specifically, we see a localrelationship between these observations: a T1 event decreases the inter-dropletforces up to 3 droplet diameters away from the event. This directly connectsmicroscopic structural changes to macroscopic fluctuations, and confirmstheoretical pictures of local rearrangements influencing nearby regions. Theselocal rearrangements are an important means of reducing and redistributingstresses within a flowing material.

Topological rearrangements and stress fluctuations in quasi-two-dimensional hopper flow of emulsions