Marangoni convection in droplets on superhydrophobic surfaces
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Hosoi_Marangoni convection.pdf
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Author(s)
Tam, Daniel
Graf von Arnim, Joachim
McKinley, Gareth H.
Anette E. Hosoi
Date Issued
March 2009
Journal
Journal of Fluid Mechanics
Publisher
Cambridge University Press
Citation
Tam, Daniel et al. “Marangoni Convection in Droplets on Superhydrophobic Surfaces.” Journal of Fluid Mechanics 624 (2009): 101.
Version
Author's final manuscript
Abstract
We consider a small droplet of water sitting on top of a heated superhydrophobic surface. A toroidal convection pattern develops in which fluid is observed to rise along the surface of the spherical droplet and to accelerate downwards in the interior towards the liquid/solid contact point. The internal dynamics arise due to the presence of a vertical temperature gradient; this leads to a gradient in surface tension which in turn drives fluid away from the contact point along the interface. We develop a solution to this thermocapillary-driven Marangoni flow analytically in terms of streamfunctions. Quantitative comparisons between analytical and experimental results, as well as effective heat transfer coefficients, are presented.
MIT Department
Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
Massachusetts Institute of Technology. Department of Mechanical Engineering
Massachusetts Institute of Technology. Engineering Systems Division
Massachusetts Institute of Technology. School of Engineering
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Creative Commons Attribution-Noncommercial-Share Alike 3.0
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DOI of Published Version
https://doi.org/10.1017/S0022112008005053
