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Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/6944

Title: Gas dynamics at the micro-scale: A review of progress in hydrodynamic modelling
Authors: Reese, JM
Lockerby, DA
Emerson, DR
2nd Micro and Nano Flows Conference (MNF2009)
Keywords: Microfluidics
Nanofluidics
Rarefied gas dynamics
Non-equilibrium fluid dynamics
Slip flow
Knudsen layer
Micro- and nano-scale flows
Extended hydrodynamics
Publication Date: 2009
Publisher: Brunel University
Citation: 2nd Micro and Nano Flows Conference, Brunel University, West London, UK, 01-02 September 2009
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 Maxwelltype 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.
Description: This paper was presented at the 2nd Micro and Nano Flows Conference (MNF2009), which was held at Brunel University, West London, UK. The conference was organised by Brunel University and supported by the Institution of Mechanical Engineers, IPEM, the Italian Union of Thermofluid dynamics, the Process Intensification Network, HEXAG - the Heat Exchange Action Group and the Institute of Mathematics and its Applications.
Sponsorship: This work is funded in the UK by the Engineering and Physical Sciences Research Council through grants EP/F002467/1, EP/D07455X/1, EP/D007488/1 and EP/F028865/1.
URI: http://bura.brunel.ac.uk/handle/2438/6944
ISBN: 978-1-902316-72-7
978-1-902316-73-4
Appears in Collections:Brunel Institute for Bioengineering (BIB)
The Brunel Collection

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