0
Technical Briefs

DSMC Simulation: Validation and Application to Low Speed Gas Flows in Microchannels

[+] Author and Article Information
T. Ewart, J. L. Firpo, P. Perrier, J. G. Méolans

 Universite de Provence-Ecole Polytechnique Universitaire de Marseille, UMR CNRS 6595, 5 Rue Enrico Fermi, 13453 Marseille, France

I. A. Graur

 Universite de Provence-Ecole Polytechnique Universitaire de Marseille, UMR CNRS 6595, 5 Rue Enrico Fermi, 13453 Marseille, Franceirina.graour@polytech.univ-mrs.fr

J. Fluids Eng 131(1), 014501 (Dec 02, 2008) (6 pages) doi:10.1115/1.3026733 History: Received April 22, 2008; Revised October 03, 2008; Published December 02, 2008

A direct simulation Monte Carlo method (DSMC ) solver, adapted to the subsonic microflow, is developed under the object-conception language (C++ ). Some technical details critical in these DSMC computations are provided. The numerical simulations of gas flow in a microchannel are carried out using the developed DSMC solver. Streamwise velocity distributions in the slip flow regime are compared with the analytical solution based on the Navier–Stokes equations with the velocity slip boundary condition. Satisfactory agreements have been achieved. Furthermore, the domain of the validity of this continuum approach is discussed. Simulations are then extended to the transitional flow regime. Streamwise velocity distributions are also compared with the results of the numerical solutions of the linearized Boltzmann equation. We emphasize the influence of the accommodation coefficient on the velocity profiles and on the mass flow rate. The simulation results on the mass flow rate are compared with the experimental data, which allow us to validate the “experimental” technique of the determination of the accommodation coefficient.

FIGURES IN THIS ARTICLE
<>
Copyright © 2009 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 8

Streamwise velocity profiles normalized by the velocity on the axis: the solid line represents the solution of the linearized Boltzmann equation (7), and the DSMC solution is presented with the circles

Grahic Jump Location
Figure 1

Schematic view of the channel

Grahic Jump Location
Figure 5

Streamwise velocity profiles normalized by the velocity on the axis: the solid line represents the solution of the linearized Boltzmann equation (7), and the DSMC solution is represented with the circles

Grahic Jump Location
Figure 6

Streamwise velocity profiles in m/s: the DSMC solution for α=1 is presented with the circles, and the DSMC solution for α=0.91 is presented with the triangles

Grahic Jump Location
Figure 7

Pressure profiles (Kn=1.128), normalized with the pressure in the inlet tank: the DSMC solution for α=1 is presented with the circles, and the DSMC solution for α=0.91 is presented with the triangles

Grahic Jump Location
Figure 9

Pressure profiles (Kn=0.1), normalized with the pressure in the inlet tank: the solid line represents the continuum solution (8) with α=0.91, the dashed line represents the continuum solution (8) with α=1, the DSMC solution for α=1 is presented with the circles, and the DSMC solution for α=0.91 is presented with the triangles

Grahic Jump Location
Figure 10

Experimental and numerical dimensionless mass flow rates in a microchannel using He gas

Grahic Jump Location
Figure 11

Experimental and numerical dimensionless mass flow rates in a microchannel using He gas

Grahic Jump Location
Figure 2

Streamwise velocity profiles in m/s: the solid line represents the continuum solution (8) with σp=1.016, the dash-dotted line is the same continuum solution with σp=π/2, and the DSMC solution (α=1) is presented with the circles

Grahic Jump Location
Figure 3

Streamwise velocity profiles in m/s for Kn=0.1128: the solid line represents the continuum solution (8) with σp=1.204, α=0.91, the DSMC solution for α=1 is represented with the circles, and the DSMC solution for α=0.91 is represented with the triangles

Grahic Jump Location
Figure 4

Streamwise velocity profiles in m/s for Kn=0.2256: the solid line represents the continuum solution (8) with σp=1.204, α=0.91, the DSMC solution for α=1 is represented with the circles, and the DSMC solution for α=0.91 is represented with the triangles

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In