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- W2106082440 abstract "Recent microfluidic experiments by Bremond, Thiam & Bibette ( Phys. Rev. Lett ., vol. 100, 2008, paper no. 024501), along with simulations by Yoon et al . ( Phys. Fluid , vol. 19, 2007, paper no. 102102) and near-contact experiments and simulations by Manica et al . ( Langmuir , vol. 24, 2008, pp. 1381–1390), have demonstrated that two droplets can coalesce as they are separating rather than upon their collision. We analyse the experimental microfluidic flow configuration for the approach to contact with a two-dimensional model: we apply a lubrication analysis followed by the method of domain perturbation to determine the droplet deformation as a function of time. We find the approximate shape for the deformed droplet at the time of contact. In particular, for droplets of radius R , moving apart according to h 0 ( t ) = h 0 (0) + α t 2 , where 2 h 0 ( t ) is the separation distance, we define a non-dimensional parameter A =4 C μ R 2 α 1/2 /πγ[ h 0 (0)] 3/2 , where μ is the viscosity of the continuous phase; γ is the interfacial tension; and C depends on the viscosity ratio between the droplets and the continuous phase. Our model suggests that there exists a critical value A crit = 16/3 3/2 ≈ 3.0792, below which separation is unlikely to facilitate the coalescence of the droplets. The predictions are in good agreement with available experimental data." @default.
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- W2106082440 date "2009-07-27" @default.
- W2106082440 modified "2023-09-23" @default.
- W2106082440 title "Separation-driven coalescence of droplets: an analytical criterion for the approach to contact" @default.
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- W2106082440 doi "https://doi.org/10.1017/s0022112009007320" @default.
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