POF Nameplate
  • Volume/Page
  • Keyword
  • DOI
  • Citation
  • Advanced
   
 
 
 

Flickr Twitter UniPHY Group iResearch App Facebook

Physics of Fluids / Volume 21 / Issue 10 / ARTICLES / Micro- and Nanofluid Mechanics

Phys. Fluids 21, 102004 (2009); http://dx.doi.org/10.1063/1.3253696 (9 pages)

Measurements of tangential momentum accommodation coefficient for various gases in plane microchannel

I. A. Graur, P. Perrier, W. Ghozlani, and J. G. Méolans

Département de Mécanique Energétique-UMR CNRS 6595, Université de Provence-Ecole Polytechnique Universitaire de Marseille, 5 rue Enrico Fermi, 13453 Marseille Cedex 13, France

View MapView Map

(Received 3 March 2009; accepted 18 September 2009; published online 30 October 2009)

Mass flow rate measurements in a single silicon microchannel were carried out for various gases in isothermal steady flows. The results obtained from hydrodynamic to near free molecular regime by using a powerful experimental platform allowed us to deduce interesting information, notably about the reflection/accommodation process at the wall. In the 0–0.3 Knudsen range, a continuum analytic approach was derived from the NS equations, associated with first or second order slip boundary conditions. Identifying the experimental mass flow rate curves to the theoretical ones the tangential momentum accommodation coefficient (TMAC) of various gases was extracted. Over the full Knudsen range [0–30] the experimental results were compared with theoretical values calculated from the kinetic approaches: using variable accommodation coefficient values as fitting parameter, the theoretical curves were fitted to the experimental ones. Whatever the Knudsen range and whatever the theoretical approach, the TMAC values are found decreasing when the molecular weights of the gas increase (as long as the different gases are compared using the same approach). Moreover, the values of the various accommodation coefficients are rather close to one another but sufficiently smaller than unity indicating that the full accommodation modeling is not satisfactory to describe the gas/wall interaction.

© 2009 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. MEASUREMENTS
    1. Experimental setup
    2. Microchannel characteristics
    3. Mass flow rate measurements and nonisothermal effects
    4. Pressure measurements
  3. BACKGROUND THEORY
    1. Hydrodynamic and slip regime
    2. Transitional and near free molecular regimes
  4. RESULTS AND DISCUSSION
    1. Hydrodynamic and slip regime
      1. First order
      2. Second order
    2. Transitional and free molecular regime
  5. CONCLUSIONS

RELATED DATABASES

To view database links for this article, you need to log in.

KEYWORDS and PACS

Keywords

Knudsen flow, microchannel flow, Navier-Stokes equations

PACS

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.3253696

PUBLICATION DATA

ISSN

1070-6631 (print)  
1089-7666 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

For access to fully linked references, you need to log in.
    J. Maurer, P. Tabeling, P. Joseph, and H. Willaime, “Second-order slip laws in microchannels for helium and nitrogen,” Phys. Fluids 15, 2613 (2003)PHFLE6000015000009002613000001.

    F. Sharipov and V. Seleznev, “Data on internal rarefied gas flows,” J. Phys. Chem. Ref. Data 27, 657 (1998)JPCRBU000027000003000657000001.

    S. K. Loyalka, “Kinetic theory of thermal transpiration and mechanocaloric effects II,” J. Chem. Phys. 63, 4054 (1975)JCPSA6000063000009004054000001.

    T. Ohwada, Y. Sone, and K. Aoki, “Numerical analysis of the Poiseuille and thermal transpiration flows between two parallel plates on the basis of the Boltzmann equation for hard sphere molecules,” Phys. Fluids A 1, 2042 (1989)PFADEB000001000012002042000001.


For access to citing articles, you need to log in.


Figures (2) Tables (4)

Access to article objects (figures, tables, multimedia) requires a subscription; log in to view available files.
(Access to supplementary files, where available, is free for this journal.)

Access to article objects (figures, tables, multimedia) requires a subscription; log in to view available files.
(Access to supplementary files, where available, is free for this journal.)



Close

Google Calendar

ADVERTISEMENT

Your Recent History Recent History Help

Recently Viewed

  1. Measurements of tangential momentum accommodation coefficient for various gases in plane microchannel
  2. Increased robustness for fluidic self-assembly
  3. A unified theory of dipolophoresis for nanoparticles
  4. Comments related to my paper “The contact angle in capillarity”
  5. Constrained subgrid-scale stress model for large eddy simulation
Go to AIP Home
Copyright © American Institute of Physics
close