Determination of Repulsive Force Law of Jammed Emulsion Droplets through Minimization Open Access
Presley, Christopher (Spring 2021)
Published
Abstract
The repulsive force due to surface tension, acting between jammed emulsion droplets, is equivalent to where the overlap between particles i and j, , and the center to center distance between particles i and j, , can be easily found using experimental data. However, the force scaling factor —a force scaling factor—and the power law are not well known. Using experimental data where emulsion droplets underwent a jamming transition and experienced both gravitational and repulsive forces, a created minimization program was used to determine that and are the scaling factor and power law, respectively, that are most consistent with the experimental data. The power law is consistent with previous literature, but the scaling factor is not. This could be due to the use of a subset, rather than the full set, of experimental data points.
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