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Dynamics of liquid nano-threads : fluctuation-driven instability and rupture

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Zhao, Chengxi, Lockerby, Duncan A. and Sprittles, James E. (2020) Dynamics of liquid nano-threads : fluctuation-driven instability and rupture. Physical Review Fluids, 5 . 044201. doi:10.1103/PhysRevFluids.5.044201 ISSN 2469-990X.

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Official URL: http://dx.doi.org/10.1103/PhysRevFluids.5.044201

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Abstract

The instability and rupture of nanoscale liquid threads is shown to strongly depend on thermal fluctuations. These fluctuations are naturally occurring within molecular dynamics (MD) simulations and can be incorporated via fluctuating hydrodynamics into a stochastic lubrication equation (SLE). A simple and robust numerical scheme is developed for the SLE that is validated against MD for both the initial (linear) instability and the nonlinear rupture process. Particular attention is paid to the rupture process and its statistics, where the `double-cone’ profile reported by Moseler & Landmann [Science, 2000, 289(5482): 1165-1169] is observed, as well as other distinct profile forms depending on the flow conditions. Comparison to the Eggers’ similarity solution [Physical Review Letters, 2002, 89(8): 084502], a power law of the minimum thread radius against time to rupture, shows agreement only at low surface tension; indicating that surface tension cannot generally be neglected when considering rupture dynamics.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
Q Science > QP Physiology
Divisions: Faculty of Science, Engineering and Medicine > Engineering > Engineering
Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH): Liquids, Molecular dynamics, Stochastic matrices
Journal or Publication Title: Physical Review Fluids
Publisher: American Physical Society
ISSN: 2469-990X
Official Date: 2 April 2020
Dates:
DateEvent
2 April 2020Published
19 February 2020Available
19 February 2020Accepted
Volume: 5
Article Number: 044201
DOI: 10.1103/PhysRevFluids.5.044201
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Copyright Holders: © 2020 American Physical Society
Date of first compliant deposit: 11 March 2020
Date of first compliant Open Access: 18 March 2020
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
UNSPECIFIEDLeverhulme Trusthttp://dx.doi.org/10.13039/501100000275
EP/N016602/1[EPSRC] Engineering and Physical Sciences Research Councilhttp://dx.doi.org/10.13039/501100000266
EP/P020887/1[EPSRC] Engineering and Physical Sciences Research Councilhttp://dx.doi.org/10.13039/501100000266
EP/P031684/1[EPSRC] Engineering and Physical Sciences Research Councilhttp://dx.doi.org/10.13039/501100000266
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