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Persistent URL
http://purl.org/net/epubs/work/34689
Record Status
Checked
Record Id
34689
Title
Geometric and constitutive dependence of Maxwell's velocity slip boundary condition
Contributors
DA Lockerby
,
JM Reese
,
RW Barber (CCLRC Daresbury Lab.)
,
DR Emerson (CCLRC Daresbury Lab.)
Abstract
The general form of Maxwell's velocity slip boundary condition for rarefied gas flows depends on both the geometry of the surface and the constitutive relations used to relate the viscous stress to rate of strain. The dependence on geometry is often overlooked in current rarefied flow calculations, and the generality of the constitutive dependence means the condition can also be usefully applied in regions where the Navier-Stokes equations fail, e.g. rarefied flows close to surfaces. In this paper we give examples illustrating the importance of both these dependencies and show, therefore, that implementing the general Maxwell condition produces substantially different results to conventional implementations of the condition. Finally, we also investigate a common numerical instability associated with Maxwell's boundary condition, and propose an implicit solution method to overcome the problem.
Organisation
CCLRC
,
CSE
,
CSE-CEG
Keywords
rarefied-gas
,
flow
Funding Information
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Language
English (EN)
Type
Details
URI(s)
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Year
Journal Article
AIP Conf Proc
762, no. 1 (2005): 725-730. Is in proceedings of: 24th International Symposium on Rarefied Gas Dynamics (RGD 24), Monopoli, Italy, 10-16 Jul 2004.
doi:10.1063/1.1941621
2005
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