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Fundamental solutions to moment equations for the simulation of microscale gas flows
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Lockerby, Duncan A. and Collyer, B. (2016) Fundamental solutions to moment equations for the simulation of microscale gas flows. Journal of Fluid Mechanics, 806 . pp. 413-436. doi:10.1017/jfm.2016.606 ISSN 0022-1120.
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Official URL: https://doi.org/10.1017/jfm.2016.606
Abstract
Fundamental solutions (Green's functions) to Grad's steady-state linearised 13-moment equations for non-equilibrium gas ows are derived. The creeping microscale gas ows, to which they pertain, are important to understanding the behaviour of atmospheric particulate and the performance of many potential micro/nano technologies. Fundamental solutions are also derived for the regularised form of the steady-state linearised 13- moment equations, due to Struchtrup & Torrilhon (2003). The solutions are compared to their classical and ubiquitous counterpart: the Stokeslet. For an illustration of their utility, the fundamental solution to Grad's equations are implemented in a linear superposition approach to modelling external ows. Such schemes are mesh free, and bene t from not having to truncate and discretise an in nite three-dimensional domain. The high accuracy of the technique is demonstrated for creeping non-equilibrium gas ow around a sphere, for which an analytical solution exists for comparison. Finally, to demonstrate the method's geometrical exibility, the ow generated between adjacent spheres held at a xed uniform temperature di erence is explored.
Item Type: | Journal Article | ||||||||
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Subjects: | Q Science > QC Physics | ||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Engineering > Engineering | ||||||||
Library of Congress Subject Headings (LCSH): | Gas flow -- Mathematical models, Reynolds number | ||||||||
Journal or Publication Title: | Journal of Fluid Mechanics | ||||||||
Publisher: | Cambridge University Press | ||||||||
ISSN: | 0022-1120 | ||||||||
Official Date: | 10 November 2016 | ||||||||
Dates: |
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Volume: | 806 | ||||||||
Page Range: | pp. 413-436 | ||||||||
DOI: | 10.1017/jfm.2016.606 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Open Access (Creative Commons) | ||||||||
Date of first compliant deposit: | 23 September 2016 | ||||||||
Date of first compliant Open Access: | 23 February 2017 | ||||||||
Funder: | Engineering and Physical Sciences Research Council (EPSRC) | ||||||||
Grant number: | EP/I011927/1, EP/N016602/1, EP/K038664/1 |
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