Zhao, Chengxi, Sprittles, James E. and Lockerby, Duncan A. (2019) Revisiting the Rayleigh-Plateau instability for the nanoscale. Journal of Fluid Mechanics, 861 . R3. doi:10.1017/jfm.2018.950 ISSN 0022-1120.

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Abstract

The theoretical framework developed by Rayleigh and Plateau in the 19th century has been remarkably accurate in describing macroscale experiments of liquid cylinder instability. Here we re-evaluate and revise the Rayleigh-Plateau instability for the nanoscale, where molecular dynamics experiments demonstrate its inadequacy. A new framework based on the stochastic lubrication equation is developed that captures nanoscale flow features and highlights the critical role of thermal fluctuations at small scales. Remarkably, the model indicates that classically stable (i.e. ‘fat’) liquid cylinders can be broken at the nanoscale, and this is confirmed by molecular dynamics.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics Q Science > QC Physics
Divisions:	Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH):	Fluid dynamics, Capillarity -- Mathematical models, Fluid mechanics -- Mathematical models, Nanofluids -- Thermal properties, Nanotechnology
Journal or Publication Title:	Journal of Fluid Mechanics
Publisher:	Cambridge University Press
ISSN:	0022-1120
Official Date:	25 February 2019
Dates:	Date Event 25 February 2019 Published 7 January 2018 Available 25 November 2018 Accepted
Volume:	861
Article Number:	R3
DOI:	10.1017/jfm.2018.950
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Open Access (Creative Commons)
Date of first compliant deposit:	3 January 2019
Date of first compliant Open Access:	28 January 2019
RIOXX Funder/Project Grant:	Project/Grant ID RIOXX Funder Name Funder ID UNSPECIFIED Leverhulme Trust http://dx.doi.org/10.13039/501100000275 EP/N016602/1 [EPSRC] Engineering and Physical Sciences Research Council http://dx.doi.org/10.13039/501100000266 EP/P020887/1 [EPSRC] Engineering and Physical Sciences Research Council http://dx.doi.org/10.13039/501100000266 EP/P031684/1 [EPSRC] Engineering and Physical Sciences Research Council http://dx.doi.org/10.13039/501100000266
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