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Dissolution of microdroplets in a sparsely miscible liquid confined by leaky walls

2020/11/22 by Jiaming Zhang, Jia Ming Zhang, Zhang, Jia Ming +6
Engineering · Materials Science · Physics and Astronomy · #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Thin Films #Lattice Boltzmann Simulation Studies #Surface Modification and Superhydrophobicity #physics.flu-dyn

paper · pdf · doi:10.48550/arxiv.2011.10994

12 pages, 8 figures

arxiv created 2020/11/22 · openalex publication_date 2020/11/22 · arxiv updated 2020/11/24 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

When a water droplet is deposited within a sparsely miscible liquid medium such as certain oils, the droplet surprisingly vanishes, even in a confined geometry. Such a phenomenon has crucial consequences for multiphase flows in which confined nano- and/or picoliter droplets are considered. We report here experiments of microdroplet dissolution in microchannels that reveal an enhancement of the shrinkage of confined water microdroplets in oil due to the permeability of the walls - made of polydimethilsiloxane (PDMS) - and a delay when collective effects are present. The system is first modelled assuming that the dissolution of the droplets in its surrounding liquid follows the Epstein-Plesset solution of the diffusion equation. The dissolution of small isolated droplets can indeed be described by this solution of the diffusion equation, while the vanishing of droplets larger than a certain critical value and those closer to other droplets requires numerical simulations which take into account the boundary conditions of the confined system, the neighbouring droplets and interestingly, the evaporative water vapour flux through the PDMS. Our results thus reveal the important role of the water solubility in oil and most remarkably, of the water vapour transport through permeable walls.

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