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Evaporation of multiple droplets

Published online by Cambridge University Press:  29 September 2021

Hassan Masoud*
Department of Mechanical Engineering-Engineering Mechanics, Michigan Technological University, Houghton, MI 49931, USA
Peter D. Howell
Mathematical Institute, University of Oxford, Oxford OX2 6GG, UK
Howard A. Stone*
Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, USA
Email addresses for correspondence:,
Email addresses for correspondence:,


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.

JFM Rapids
© The Author(s), 2021. Published by Cambridge University Press

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