Marangoni convection in droplets on superhydrophobic surfaces
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 inter...
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| Format: | Article |
| Language: | en_US |
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Cambridge University Press
2013
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| Online Access: | http://hdl.handle.net/1721.1/78603 https://orcid.org/0000-0003-4940-7496 https://orcid.org/0000-0001-8323-2779 |
| _version_ | 1826217614601355264 |
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| author | Tam, Daniel Graf von Arnim, Joachim McKinley, Gareth H. Anette E. Hosoi |
| author2 | Massachusetts Institute of Technology. Department of Aeronautics and Astronautics |
| author_facet | Massachusetts Institute of Technology. Department of Aeronautics and Astronautics Tam, Daniel Graf von Arnim, Joachim McKinley, Gareth H. Anette E. Hosoi |
| author_sort | Tam, Daniel |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T17:06:11Z |
| format | Article |
| id | mit-1721.1/78603 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T17:06:11Z |
| publishDate | 2013 |
| publisher | Cambridge University Press |
| record_format | dspace |
| spelling | mit-1721.1/786032022-09-29T23:41:39Z Marangoni convection in droplets on superhydrophobic surfaces Tam, Daniel Graf von Arnim, Joachim McKinley, Gareth H. Anette E. Hosoi 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 Tam, Daniel Graf von Arnim, Joachim McKinley, Gareth H. Anette E. Hosoi 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. National Science Foundation (U.S.) (CTS-045609) National Science Foundation (U.S.) (CCF-0323672) 2013-04-25T17:09:01Z 2013-04-25T17:09:01Z 2009-03 2008-10 Article http://purl.org/eprint/type/JournalArticle 0022-1120 1469-7645 http://hdl.handle.net/1721.1/78603 Tam, Daniel et al. “Marangoni Convection in Droplets on Superhydrophobic Surfaces.” Journal of Fluid Mechanics 624 (2009): 101. https://orcid.org/0000-0003-4940-7496 https://orcid.org/0000-0001-8323-2779 en_US http://dx.doi.org/10.1017/S0022112008005053 Journal of Fluid Mechanics Creative Commons Attribution-Noncommercial-Share Alike 3.0 http://creativecommons.org/licenses/by-nc-sa/3.0/ application/pdf Cambridge University Press MIT web domain |
| spellingShingle | Tam, Daniel Graf von Arnim, Joachim McKinley, Gareth H. Anette E. Hosoi Marangoni convection in droplets on superhydrophobic surfaces |
| title | Marangoni convection in droplets on superhydrophobic surfaces |
| title_full | Marangoni convection in droplets on superhydrophobic surfaces |
| title_fullStr | Marangoni convection in droplets on superhydrophobic surfaces |
| title_full_unstemmed | Marangoni convection in droplets on superhydrophobic surfaces |
| title_short | Marangoni convection in droplets on superhydrophobic surfaces |
| title_sort | marangoni convection in droplets on superhydrophobic surfaces |
| url | http://hdl.handle.net/1721.1/78603 https://orcid.org/0000-0003-4940-7496 https://orcid.org/0000-0001-8323-2779 |
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