Geometric and Constitutive Dependence of Maxwell's Velocity Slip Boundary Condition

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.

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Document Details

Document Type
Technical Report
Publication Date
Jul 13, 2005
Accession Number
ADA446113

Entities

People

  • D. A. Lockerby
  • D. R. Emerson
  • J. M. Reese
  • R. W. Barber

Organizations

  • King's College London

Tags

Communities of Interest

  • Biomedical

DTIC Thesaurus Topics

  • Boundaries
  • Computational Fluid Dynamics
  • Couette Flow
  • Equations
  • Fluid Dynamics
  • Fluid Mechanics
  • Gas Flow
  • Geometry
  • Knudsen Number
  • Mechanical Engineering
  • Mechanical Properties
  • Molecular Dynamics
  • Navier Stokes Equations
  • Physics Laboratories
  • Rarefied Gases
  • Skin Friction
  • Slip Flow

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Mechanics and Fluid Dynamics.
  • Systems Analysis and Design