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Evaporation of multiple droplets

Published online by Cambridge University Press:  29 September 2021

Hassan Masoud Open the ORCID record for Hassan Masoud[Opens in a new window] ,
Peter D. Howell Open the ORCID record for Peter D. Howell[Opens in a new window]  and
Howard A. Stone Open the ORCID record for Howard A. Stone[Opens in a new window]
Hassan Masoud*
Affiliation:
Department of Mechanical Engineering-Engineering Mechanics, Michigan Technological University, Houghton, MI 49931, USA
Peter D. Howell
Affiliation:
Mathematical Institute, University of Oxford, Oxford OX2 6GG, UK
Howard A. Stone*
Affiliation:
Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, USA
*
†Email addresses for correspondence: hmasoud@mtu.edu, hastone@princeton.edu
†Email addresses for correspondence: hmasoud@mtu.edu, hastone@princeton.edu
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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.

JFM classification

Drops and Bubbles: Drops Phase change: Condensation/evaporation Interfacial Flows (free surface): Contact lines
Type
JFM Rapids
Information
Journal of Fluid Mechanics , Volume 927 , 25 November 2021 , R4
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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