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Efficient moment method for modelling nanoporous evaporation
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De Fraja, Thomas, Anirudh S, Rana, Enright, Ryan , Cooper, Laura, Lockerby, Duncan A. and Sprittles, James E. (2022) Efficient moment method for modelling nanoporous evaporation. Physical Review Fluids, 7 (2). 024201 . doi:10.1103/PhysRevFluids.7.024201 ISSN 2469-990X.
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Official URL: https://doi.org/10.1103/PhysRevFluids.7.024201
Abstract
Thin-film-based nanoporous membrane technologies exploit evaporation to efficiently cool microscale and nanoscale electronic devices. At these scales, when domain sizes become comparable to the mean free path in the vapour, traditional macroscopic approaches such as the Navier-Stokes-Fourier (NSF) equations become less accurate, and the use of higher-order moment methods is called for. Two higher-order moment equations are considered; the linearised versions of the Grad 13 and Regularised 13 equations. These are applied to the problem of nanoporous evaporation, and results are compared to the NSF method and the method of direct simulation Monte Carlo (i.e. solutions to the Boltzmann equations). Linear and non-linear versions of the boundary conditions are examined, with the latter providing improved results, at little additional computational expense, compared to the linear form. The outcome is a simultaneously accurate and computationally efficient method, which can provide simulation-for-design capabilities at the nanoscale.
Item Type: | Journal Article | |||||||||
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Divisions: | Faculty of Science, Engineering and Medicine > Engineering > Engineering Faculty of Science, Engineering and Medicine > Science > Mathematics |
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Journal or Publication Title: | Physical Review Fluids | |||||||||
Publisher: | American Physical Society | |||||||||
ISSN: | 2469-990X | |||||||||
Official Date: | 3 February 2022 | |||||||||
Dates: |
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Volume: | 7 | |||||||||
Number: | 2 | |||||||||
Article Number: | 024201 | |||||||||
DOI: | 10.1103/PhysRevFluids.7.024201 | |||||||||
Status: | Peer Reviewed | |||||||||
Publication Status: | Published | |||||||||
Reuse Statement (publisher, data, author rights): | © 2022 American Physical Society | |||||||||
Access rights to Published version: | Restricted or Subscription Access | |||||||||
Copyright Holders: | ©2022 American Physical Society | |||||||||
Date of first compliant deposit: | 1 February 2022 | |||||||||
Date of first compliant Open Access: | 14 February 2022 | |||||||||
RIOXX Funder/Project Grant: |
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Open Access Version: |
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