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Computational modelling of Leidenfrost drops
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Chakraborty, Indrajit, Chubynsky, Mykyta and Sprittles, James E. (2022) Computational modelling of Leidenfrost drops. Journal of Fluid Mechanics, 936 . A12. doi:10.1017/jfm.2022.66 ISSN 0022-1120.
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Official URL: https://doi.org/10.1017/jfm.2022.66
Abstract
In the Leidenfrost effect, drops levitate on a thin film of vapor generated by the evaporation of the liquid above a solid surface heated beyond the Leidenfrost temperature. A previous model predicted the quasistatic shape of a Leidenfrost drop by using the lubrication approximation for the vapor but neglecting flow in the drop. We find that the original numerical solution of the model in contains inaccuracies; the corrected solution exhibits new experimentally-observed features including (i) a regime with a dimple-less bottom surface of the drop and (ii) a minimum in the vapor layer thickness as a function of the drop size. Next, we extend the model by coupling the lubrication equation for the vapor to the axisymmetric Navier-Stokes equations for the flow within the drop and solve the resulting model computationally. For high liquid viscosities, our results agree with the corrected solution of the model in, as expected. However, for water viscosity there are discrepancies for large drops and paradoxically, the model in agrees better with experiments. We discuss possible reasons for this result.
| Item Type: | Journal Article | ||||||||||||||||||
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| Subjects: | Q Science > QC Physics | ||||||||||||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||||||||||||
| Library of Congress Subject Headings (LCSH): | Film boiling, Condensation -- Mathematical models, Evaporation -- Mathematical models | ||||||||||||||||||
| Journal or Publication Title: | Journal of Fluid Mechanics | ||||||||||||||||||
| Publisher: | Cambridge University Press | ||||||||||||||||||
| ISSN: | 0022-1120 | ||||||||||||||||||
| Official Date: | 7 February 2022 | ||||||||||||||||||
| Dates: |
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| Volume: | 936 | ||||||||||||||||||
| Article Number: | A12 | ||||||||||||||||||
| DOI: | 10.1017/jfm.2022.66 | ||||||||||||||||||
| Status: | Peer Reviewed | ||||||||||||||||||
| Publication Status: | Published | ||||||||||||||||||
| Access rights to Published version: | Open Access (Creative Commons) | ||||||||||||||||||
| Copyright Holders: | © The Author(s), 2022. Published by Cambridge University Press | ||||||||||||||||||
| Date of first compliant deposit: | 1 February 2022 | ||||||||||||||||||
| Date of first compliant Open Access: | 18 February 2022 | ||||||||||||||||||
| RIOXX Funder/Project Grant: |
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