Strathprints Home | Open Access | Browse | Search | User area | Copyright | Help | Library Home | SUPrimo

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

Lockerby, Duncan A. and Reese, Jason and Barber, R.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

[img]
Preview
PDF - Submitted Version
Download (482Kb) | Preview

    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
    Related URLs:
    Depositing user: Pure Administrator
    Date Deposited: 21 Jul 2011 15:39
    Last modified: 02 Jun 2012 05:56
    URI: http://strathprints.strath.ac.uk/id/eprint/32112

    Actions (login required)

    View Item

    Fulltext Downloads: