Skip to main content
Log in

Navier–Stokes Computations in Micro Shock Tubes

  • Original Article
  • Published:
Shock Waves Aims and scope Submit manuscript

Abstract

Micro shock tube flows were simulated using unsteady 2D Navier–Stokes equations combined with boundary slip velocities and temperature jumps conditions. These simulations were performed using the parallel version of a multi-block finite-volume home code. Different initial low pressures and shock tube diameters allow to have the scaling ratio ReD/4L vary. The numerical results show a strong attenuation of the shock wave strength with a decrease of the hot flow values along the tube. When the scaling ratio decreases the shock waves can transform into compression waves. Comparison to the existing 1D models also shows the limit of these models.

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. Glass I.I., Sislian J.P. (1994). Nonstationary flows and shock waves. Oxford Sciences Publications, Oxford

    Google Scholar 

  2. Duff R.E. (1959). Shock tube performance at initial low pressure. Phys. Fluids 4(2):207

    Article  Google Scholar 

  3. Roshko A. (1960). On flow duration in low pressure shock tube. Phys. Fluids 3(9):807

    Google Scholar 

  4. Mirels H. (1963). Test time in low pressure shock tubes. Phys. Fluids 6(9):1201

    Article  Google Scholar 

  5. Zeitoun D.E., Imbert M. (1979). Interaction between the unsteady boundary layer and Inviscid hot flow in a shock tube. AIAA J. 17(8):821

    Article  Google Scholar 

  6. Oh C.K., Oran E.S., Sinkovits R.S. (1997). Computations of high speed, high Knudsen number microchanels flows. J. Thermophys. Heat Transf. 11(4):497

    Article  Google Scholar 

  7. Raju, R., Roy, S.: Hydrodynamic prediction of high speed , AIAA paper 4010. In: 33rd AIAA Fluid Dynamics Conference, 23–26 June, Orlando, FL, USA (2003)

  8. Sun, M., Ogawa, T., Takayama, K.: Shock propagation in narrow channels. In: Lu, F.K. (ed.) Proceedings of 24th International Sympesium on Shock Waves, p. 1321 (2001)

  9. Brouillette M. (2003). Shock waves at microscales. Shock Wave J. 13:3–12

    Article  Google Scholar 

  10. Karniadakis G.E.M., Beskok A. (2000). Micro Flows fundamentals and Simulation. Springer, Berlin Heidelberg New York

    MATH  Google Scholar 

  11. Burtschell Y., Cardoso M., Zeitoun D.E. (2001). Numerical analysis of reducing driver gas contamination in impulse shock tunnels. AIAA J. 39(12):2357–2365

    Article  Google Scholar 

  12. Kogan M.N. (1969). Rarified Gas Dynamics. Plenum Press, New York

    Book  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to David E. Zeitoun.

Additional information

Communicated by K. Takayama

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zeitoun, D.E., Burtschell, Y. Navier–Stokes Computations in Micro Shock Tubes. Shock Waves 15, 241–246 (2006). https://doi.org/10.1007/s00193-006-0023-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00193-006-0023-4

Keywords

PACS

Navigation