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Evaporation-driven vapour micro flows : analytical solutions from moment methods
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Rana, Anirudh Singh, Lockerby, Duncan A. and Sprittles, James E. (2018) Evaporation-driven vapour micro flows : analytical solutions from moment methods. Journal of Fluid Mechanics, 841 . pp. 962-988. doi:10.1017/jfm.2018.85 ISSN 1469-7645.
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Official URL: https://doi.org/10.1017/jfm.2018.85
Abstract
Macroscopic models based on moment equations are developed to describe the transport of mass and energy near the phase boundary between a liquid and its rarefied vapour due to evaporation and hence, in this study, condensation. For evaporation from a spherical droplet, analytic solutions are obtained to the linearised equations from the Navier–Stokes–Fourier, regularised 13-moment and regularised 26-moment frameworks. Results are shown to approach computational solutions to the Boltzmann equation as the number of moments are increased, with good agreement for Knudsen number , whilst providing clear insight into non-equilibrium phenomena occurring adjacent to the interface.
Item Type: | Journal Article | ||||||||||||||||||
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Subjects: | Q Science > QC Physics | ||||||||||||||||||
Divisions: | Other > Institute of Advanced Study Faculty of Science, Engineering and Medicine > Engineering > Engineering Faculty of Science, Engineering and Medicine > Science > Mathematics |
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Library of Congress Subject Headings (LCSH): | Transport theory, Condensation -- Mathematical models, Navier-Stokes equations, Fourier analysis | ||||||||||||||||||
Journal or Publication Title: | Journal of Fluid Mechanics | ||||||||||||||||||
Publisher: | Cambridge University Press | ||||||||||||||||||
ISSN: | 1469-7645 | ||||||||||||||||||
Official Date: | 25 April 2018 | ||||||||||||||||||
Dates: |
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Volume: | 841 | ||||||||||||||||||
Page Range: | pp. 962-988 | ||||||||||||||||||
DOI: | 10.1017/jfm.2018.85 | ||||||||||||||||||
Status: | Peer Reviewed | ||||||||||||||||||
Publication Status: | Published | ||||||||||||||||||
Access rights to Published version: | Open Access (Creative Commons) | ||||||||||||||||||
Date of first compliant deposit: | 10 January 2018 | ||||||||||||||||||
Date of first compliant Open Access: | 5 June 2018 | ||||||||||||||||||
RIOXX Funder/Project Grant: |
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