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Multiscale simulation of non-isothermal microchannel gas flows
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Patronis, Alexander and Lockerby, Duncan A. (2014) Multiscale simulation of non-isothermal microchannel gas flows. Journal of Computational Physics, Volume 270 . pp. 532-543. doi:10.1016/j.jcp.2014.04.004 ISSN 0021-9991.
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Official URL: http://dx.doi.org/10.1016/j.jcp.2014.04.004
Abstract
This paper describes the development and application of an efficient hybrid continuum-molecular approach for simulating non-isothermal, low-speed, internal rarefied gas flows, and its application to flows in Knudsen compressors. The method is an extension of the hybrid continuum-molecular approach presented by Patronis et al. (2013) [J. Comp. Phys., 255, pp. 558–571], which is based on the framework originally proposed by Borg et al. (2013) [J. Comp. Phys., 233, pp. 400–413] for the simulation of micro/nano flows of high aspect ratio. The extensions are: 1) the ability to simulate non-isothermal flows; 2) the ability to simulate low-speed flows by implementing a molecular description of the gas provided by the low-variance deviational simulation Monte Carlo (LVDSMC) method; and 3) the application to three-dimensional geometries. For the purposes of validation, the multiscale method is applied to rarefied gas flow through a periodic converging-diverging channel (driven by an external acceleration). For this flow problem it is computationally feasible to obtain a solution by the direct simulation Monte Carlo (DSMC) method for comparison: very close agreement is observed.
The efficiency of the multiscale method, allows the investigation of alternative Knudsen-compressor channel configurations to be undertaken. We characterise the effectiveness of the single-stage Knudsen-compressor channel by the pressure drop that can be achieved between two connected reservoirs, for a given temperature difference. Our multiscale simulations indicate that the efficiency is surprisingly robust to modifications in streamwise variations of both temperature and cross-sectional geometry.
Item Type: | Journal Article | ||||||||||
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Subjects: | Q Science > QA Mathematics T Technology > TA Engineering (General). Civil engineering (General) |
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Divisions: | Faculty of Science, Engineering and Medicine > Engineering > Engineering | ||||||||||
Library of Congress Subject Headings (LCSH): | Multiscale modeling, Continuum mechanics, Gas flow -- Mathematical models | ||||||||||
Journal or Publication Title: | Journal of Computational Physics | ||||||||||
Publisher: | Academic Press Inc. Elsevier Science | ||||||||||
ISSN: | 0021-9991 | ||||||||||
Official Date: | 1 August 2014 | ||||||||||
Dates: |
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Volume: | Volume 270 | ||||||||||
Page Range: | pp. 532-543 | ||||||||||
DOI: | 10.1016/j.jcp.2014.04.004 | ||||||||||
Status: | Peer Reviewed | ||||||||||
Publication Status: | Published | ||||||||||
Access rights to Published version: | Open Access (Creative Commons) | ||||||||||
Date of first compliant deposit: | 26 December 2015 | ||||||||||
Date of first compliant Open Access: | 26 December 2015 | ||||||||||
Funder: | Engineering and Physical Sciences Research Council (EPSRC) | ||||||||||
Grant number: | EP/I011927/1 (EPSRC), EP/K038664/1 (EPSRC) |
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