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Geometric and constitutive dependence of Maxwell's velocity slip boundary condition

Lockerby, Duncan A. and Reese, Jason and Barber, Robert W. and Emerson, David (2004) Geometric and constitutive dependence of Maxwell's velocity slip boundary condition. In: Rarefied Gas Dynamics. AIP Conference Proceedings, 762 . American Institute of Physics, pp. 725-730. ISBN 0-7354-0247-7

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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.

Item type: Book Section
ID code: 32112
Notes: Book - Online Proceedings
Keywords: rareifications, velocity control , maxwell equations, Mechanical engineering and machinery, Physics
Subjects: Technology > Mechanical engineering and machinery
Science > Physics
Department: Faculty of Engineering > Mechanical and Aerospace Engineering
Depositing user: Pure Administrator
Date Deposited: 21 Jul 2011 14:39
Last modified: 15 Apr 2015 09:40
Related URLs:
URI: http://strathprints.strath.ac.uk/id/eprint/32112

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