Free-path distribution and Knudsen-layer modeling for gaseous flows in the transition regime

Quy Dong To, Céline Léonard, and Guy Lauriat
Phys. Rev. E 91, 023015 – Published 23 February 2015

Abstract

In this paper, we use molecular dynamics (MD) simulations to study the mean free path distribution of nonequilibrium gases in micronanochannel and to model the Knudsen (Kn) layer effect. It is found that the mean free path is significantly reduced near the wall and rather insensitive to flow types (Poiseuille or Couette). The Cercignani relation between the mean free path and the viscosity is adopted to capture the velocity behavior of the special zone in the framework of the extended Navier-Stokes (NS) equations. MD simulations of flows are carried out at different Kn numbers. Results are then compared with the theoretical model.

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  • Received 22 September 2014

DOI:https://doi.org/10.1103/PhysRevE.91.023015

©2015 American Physical Society

Authors & Affiliations

Quy Dong To*, Céline Léonard, and Guy Lauriat

  • Université Paris-Est, Laboratoire Modelisation et Simulation Multi Echelle, UMR 8208 CNRS, 5 Boulevard Descartes, 77454 Marne-la-Vallée Cedex 2, France

  • *quy-dong.to@u-pem.fr

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Vol. 91, Iss. 2 — February 2015

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