Skip to main content
Log in

Gas molecule-molecule interaction and the gas-surface scattering effect on the rarefied gas flow through a slit into a vacuum

  • Statistical, Nonlinear, and Soft Matter Physics
  • Published:
Journal of Experimental and Theoretical Physics Aims and scope Submit manuscript

Abstract

The effect of the gas molecule-molecule interaction and the gas-surface scattering on the gas flow through a slit into a vacuum are investigated in a wide range of the gas rarefaction using the direct simulation Monte Carlo method. To study the gas molecule-molecule interaction influence, we used the variable hard sphere and variable soft sphere models defined for an inverse-power-law potential and the generalized hard sphere model defined for the 12–6 Lennard-Jones potential. The Maxwell, Cercignani-Lampis, and Epstein models were used to simulate the gas-surface scattering. This study demonstrates that the gas molecule-molecule interaction can have a significant influence on the rarefied gas flow through a slit, while the influence of the gas-surface scattering is negligibly small. The presented numerical results are in agreement with the corresponding experimental ones.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. G. Karniadakis, A. Beskok, and N. Aluru, Microflows and Nanoflows: Fundamentals and Simulation (Springer, New York, 2005).

    MATH  Google Scholar 

  2. F. Sharipov, Phys. Fluids 8, 262 (1996).

    Article  MATH  ADS  Google Scholar 

  3. S. Varoutis, D. Valougeorgis, O. Sazhin, and F. Sharipov, J. Vac. Sci. Technol., A 26, 228 (2008).

    Google Scholar 

  4. B. T. Porodnov, P. E. Suetin, and S. F. Borisov, Zh. Tekh. Fiz. 40(11), 2383 (1970) [Sov. Phys. Tech. Phys. 15 (11), 1863 (1970)].

    Google Scholar 

  5. O. V. Sazhin, S. F. Borisov, and F. Sharipov, J. Vac. Sci. Technol., A 19, 2499 (2001); J. Vac. Sci. Technol., A 20, 957(E) (2002).

    ADS  Google Scholar 

  6. O. V. Sazhin and S. F. Borisov, J. Eng. Phys. Thermophys. 75, 1232 (2001).

    Article  Google Scholar 

  7. O. Sazhin, Zh. Éksp. Teor. Fiz. 134(1), 196 (2008) [JETP 107 (1), 162 (2008)].

    MathSciNet  Google Scholar 

  8. G. A. Bird, Molecular Gas Dynamics and the Direct Simulation of Gas Flow (Oxford University Press, Oxford, 1994).

    Google Scholar 

  9. M. S. Ivanov and S. V. Rogazinskií, Zh. Vychisl. Mat. Mat. Fiz. 28, 1058 (1988).

    Google Scholar 

  10. G. A. Bird, Prog. Astronaut. Aeronaut. 74, 239 (1981).

    Google Scholar 

  11. K. Koura and H. Matsumoto, Phys. Fluids A 3, 2459 (1991).

    Article  MATH  ADS  Google Scholar 

  12. K. Koura and H. Matsumoto, Phys. Fluids A 4, 1083 (1992).

    Article  ADS  Google Scholar 

  13. H. A. Hassan and D. B. Hash, Phys. Fluids A 5, 738 (1993).

    Article  MATH  ADS  Google Scholar 

  14. J. A. Kunc, H. A. Hassan, and D. B. Hash, Phys. Fluids 7, 1173 (1995).

    Article  MATH  ADS  Google Scholar 

  15. J. Fan, Phys. Fluids 14, 4399 (2002).

    Article  ADS  Google Scholar 

  16. H. Matsumoto, Phys. Fluids 14, 4256 (2002).

    Article  ADS  Google Scholar 

  17. C. Cercignani and C. D. Pagani, Phys. Fluids 9, 1167 (1966).

    Article  ADS  Google Scholar 

  18. V. D. Akinshin, S. F. Borisov, B. T. Porodnov, and P. É. Suétin, Zh. Prikl. Mekh. Tekh. Fiz., 2, 45 (1974).

    Google Scholar 

  19. M. Epstein, AIAA J. 2, 1797 (1967).

    Article  ADS  Google Scholar 

  20. C. Cercignani and M. Lampis, Transp. Theory Stat. Phys. 2, 101 (1971).

    Article  ADS  MathSciNet  Google Scholar 

  21. O. Sazhin, A. Kulev, S. Borisov, and S. Gimelshein, Vacuum 82, 20 (2008).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to O. Sazhin.

Additional information

The article is published in the original.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sazhin, O. Gas molecule-molecule interaction and the gas-surface scattering effect on the rarefied gas flow through a slit into a vacuum. J. Exp. Theor. Phys. 108, 874–879 (2009). https://doi.org/10.1134/S1063776109050161

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063776109050161

PACS numbers

Navigation