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Persistent URL
http://purl.org/net/epubs/work/39031
Record Status
Checked
Record Id
39031
Title
A phenomenological and extended continuum approach for modelling non-equilibrium flows
Contributors
S Mizzi (CCLRC Daresbury Lab.)
,
RW Barber (CCLRC Daresbury Lab.)
,
DR Emerson (CCLRC Daresbury Lab.)
,
JM Reese (Strathclyde U.)
,
SK Stefanov (Bulgarian Academy of Sciences)
Abstract
This paper presents a new technique that combines Grad's 13-moment equations (G13) with a phenomenological approach to rarefied gas flows. This combination and the proposed solution technique capture some important non-equilibrium phenomena that appear in the early continuum-transition flow regime. In contrast to the fully coupled 13-moment equation set, a significant advantage of the present solution technique is that it does not require extra boundary conditions explicitly; Grad's equations for viscous stress and heat flux are used as constitutive relations for the conservation equations instead of being solved as equations of transport. The relative computational cost of this novel technique is low in comparison to other methods, such as fully coupled solutions involving many moments or discrete methods. In this study, the proposed numerical procedure is tested on a planar Couette flow case, and the results are compared to predictions obtained from the direct simulation Monte Carlo method. This test case highlights the presence of normal viscous stresses and tangential heat fluxes that arise from non-equilibrium phenomena, which cannot be captured by the Navier-Stokes-Fourier constitutive equations or phenomenological modifications.
Organisation
CCLRC
,
CSE
,
CSE-CEG
Keywords
Rarefied gas dynamics
,
Non-continuum effects
,
Non-equilibrium gas dynamics
Funding Information
Related Research Object(s):
Licence Information:
Language
English (EN)
Type
Details
URI(s)
Local file(s)
Year
Journal Article
Continuum Mech. Thermodyn. (2007).
doi:10.1007/s00161-007-0054-9
Mizzi_et_al_CMT_2007.pdf
2007
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