Emulsions stabilized with solid particles (Pickering emulsions) are known for their long-term static stability, which is typically defined by the lack of macroscopic coalescence with respect to time. This is attributed to the irreversible adsorption of particles to the oil/water interface, which provides a physical barrier to droplet coalescence. However, because there are so many particle emulsifiers that satisfy this definition, it is difficult to distinguish differences in the relative stabilities of different Pickering emulsion formulations. In this work, a centrifuge is used to compare the relative stabilities of different emulsion formulations. The centrifuge is used to calculate a demulsification pressure for each emulsion. Additionally, because there is little information on the stability of Pickering emulsions during flow, we flow emulsions through a glass capillary tube and correlate a critical demulsification pressure to emulsion formulations that show little change in drop size through the capillary tube, which we define as a dynamically stable emulsion.