Picture of virus under microscope

Research under the microscope...

The Strathprints institutional repository is a digital archive of University of Strathclyde research outputs.

Strathprints serves world leading Open Access research by the University of Strathclyde, including research by the Strathclyde Institute of Pharmacy and Biomedical Sciences (SIPBS), where research centres such as the Industrial Biotechnology Innovation Centre (IBioIC), the Cancer Research UK Formulation Unit, SeaBioTech and the Centre for Biophotonics are based.

Explore SIPBS research

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

[img]
Preview
PDF
velocity_slip.pdf - Accepted Author Manuscript

Download (494kB) | 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.