Abstract
We examine the flow of oil-in-water emulsions in a capillary tube with various sizes and volume fractions of the oil droplets. The front position of flowing emulsions can be accurately described by a power law formula of the form x0(t/t0)n, in which x0 is a constant and (t/t0)n is a dimensionless time to the nth power. Both x0 and n depend on the sample and on the diameter of the capillary tube. We reveal that the ratios of the oil–water interfacial area to water volume (So-w/Vw) and water–wall interfacial area to water volume (Sw-w/Vw) are important factors in describing x0. For the various samples, the values of x0 are largely determined by So-w/Vw and Sw-w/Vw in combination with x0_0 vol, which is the value of x0 in a sample with no oil droplets. In contrast, n is primarily determined by So-w/Vw. Finally, the role of the liquid–liquid interfacial area is discussed.
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