Issue
EPL
Volume 80, Number 2, October 2007
Article Number 24001
Number of page(s) 6
Section Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics
DOI http://dx.doi.org/10.1209/0295-5075/80/24001
Published online 12 September 2007
EPL, 80 (2007) 24001
DOI: 10.1209/0295-5075/80/24001

An extended Navier-Stokes formulation for gas flows in the Knudsen layer near a wall

Z. L. Guo1, B. C. Shi2 and C. G. Zheng1

1  National Laboratory of Coal Combustion, Huazhong University of Science and Technology - Wuhan 430074, PRC
2  Department of Mathematics, Huazhong University of Science and Technology - Wuhan 430074, PRC

zlguo@hust.edu.cn

received 8 June 2007; accepted in final form 21 August 2007; published October 2007
published online 12 September 2007

Abstract
Gas flows in the Knudsen layer adjacent to a solid wall cannot be described by the classical Navier-Stokes constitution in general, and high-order models such as the Burnett and super-Burnett models encounter many difficulties in practical applications. In the present work we propose an extended Navier-Stokes constitution in which the effect of the collisions between the gas molecules and bounded walls is incorporated. With this model, it is found that the flow behaviors in the Knudsen layer can be effectively captured.

PACS
47.10.-g - General theory in fluid dynamics.
47.10.ab - Conservation laws and constitutive relations.
47.61.Cb - Non-continuum effects.

© Europhysics Letters Association 2007