Evaporation of multiple droplets

Document Type

Article

Publication Date

11-25-2021

Department

Department of Mechanical Engineering-Engineering Mechanics

Abstract

We derive an accurate estimate for the diffusive evaporation rates of multiple droplets of different sizes and arbitrary contact angles placed on a horizontal substrate. The derivation, which is based on a combination of Green's second identity and the method of reflections, simply makes use of the solution for the evaporation of a single droplet. The theoretical results can serve as a guide for future computational and experimental studies on the collective evaporation of arrays of droplets, as well as similar multi-body, diffusion-dominated transport problems.

Publisher's Statement

© The Author(s), 2021. Published by Cambridge University Press. Publisher’s version of record: https://doi.org/10.1017/jfm.2021.785

Publication Title

Journal of Fluid Mechanics

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