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Gas dynamics at the micro-scale: a review of progress in hydrodynamic modelling
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Reese, Jason M., Lockerby, Duncan A. and Emerson, David R. (2009) Gas dynamics at the micro-scale: a review of progress in hydrodynamic modelling. In: 2nd Micro and Nano Flows Conference, Brunel University, West London, U.K., Sep 1-2, 2009 pp. 1-8. (In Press)
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Official URL: https://pure.strath.ac.uk/portal/files/9662693/Ree...
Abstract
We review some recent developments in the modelling of non-equilibrium (rarefied) gas flows at the micro- and nano-scale using extended hydrodynamic models. Following a brief exposition of the challenges that non-equilibrium poses in micro- and nano-scale gas flows, we outline the field of extended hydrodynamics, describing the effective abandonment of Burnett-type models in favour of high-order regularised moment equations. We then review the boundary conditions required if the conventional Navier-Stokes-Fourier (NSF) fluid dynamic model is applied at the micro scale, describing how 2nd-order Maxwell- type conditions can be used to compensate for some of the non-equilibrium flow behaviour near solid surfaces. While extended hydrodynamics is not yet widely-used for real flow problems because of its inherent complexity, we finish with an outline of recent ‘phenomenological extended hydrodynamics’ (PEH) techniques — essentially the NSF equations scaled to incorporate non-equilibrium behaviour close to solid surfaces — which offer promise as engineering models.
| Item Type: | Conference Item (Paper) |
|---|---|
| Subjects: | T Technology > TA Engineering (General). Civil engineering (General) T Technology > TJ Mechanical engineering and machinery |
| Divisions: | Faculty of Science > Engineering |
| Date: | September 2009 |
| Page Range: | pp. 1-8 |
| Status: | Peer Reviewed |
| Publication Status: | In Press |
| Access rights to Published version: | Open Access |
| Funder: | Engineering and Physical Sciences Research Council (EPSRC) |
| Grant number: | EP/F002467/1, EP/D07455X/1, EP/D007488/1, EP/F028865/1 (EPRSC) |
| Conference Paper Type: | Paper |
| Title of Event: | 2nd Micro and Nano Flows Conference |
| Type of Event: | Conference |
| Location of Event: | Brunel University, West London, U.K. |
| Date(s) of Event: | Sep 1-2, 2009 |
| URI: | http://wrap.warwick.ac.uk/id/eprint/46595 |
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