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Journal of Colloid and Interface Science, Vol.554, 1-8, 2019
Release of a trapped droplet in a single micro pore throat
The critical condition (i.e., critical capillary number Ca-C) for the release of trapped droplets is of practical importance in enhanced oil recovery and droplet microfluidics. In a recent study, Ca-C was obtained for a long droplet with a size much larger than the channel size. However, in real applications, trapped droplets are often finite with a size comparable to the channel, in which capillary and hydrostatic pressures alternate significantly. We hypothesize that Ca-C of finite droplets has a discrepancy from that of long droplets. Microfluidic experiments were performed to obtain the critical condition for the release of a finite droplet trapped in a single pore throat. A theoretical prediction via analyzing capillary and hydrostatic pressures was derived for Ca-C of both finite and long droplets. We find that Ca-C strongly depends on the droplet-to-channel size ratio (i.e., the droplet-to-convergent channel length ratio L/L0). In particular, Ca-C increases with L/L-c for finite droplets (i.e., LIL, < 1) but shows an opposite tendency for long droplets (i.e., LIL,> 1), as demonstrated in previous studies. Via theoretical analysis, we established a predictive criterion for Ca-C versus L/L-c, and this criterion quantitatively agrees well with experimental data for both finite and long droplets. (C) 2019 Elsevier Inc. All rights reserved.