Skip to main content
Log in

Numerical investigation of micro shock waves generation

  • Short Communication
  • Published:
Microfluidics and Nanofluidics Aims and scope Submit manuscript

Abstract

The shock wave propagation in the micro channel of the different sizes is studied numerically in order to estimate the possibility of the experimental apparatus development. The full compressible Navier–Stokes equations are used for the numerical simulation. The shock wave velocity attenuation is found for the channel height smaller than H = 200 μm. The influence of the channel size and of the diaphragm pressure ratio on the shock wave velocity is considered. The considerable influence of the viscous effects on the shock propagation is shown.

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.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11

Similar content being viewed by others

Notes

  1. Comments of Reviewer 4

References

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

    Article  Google Scholar 

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

    Article  Google Scholar 

  • Candler GV, Olejniczak J, Harrold B (1997) Detailed simulation of nitrogen dissociation in stagnation regions. Phys Fluids 9(7):2108–2117

    Article  Google Scholar 

  • Chase MW Jr, Davies CA, Davies JR, Fulrip DJ Jr, McDonald RA, Syverud AN (1985) JANAF thermochemical tables, 3rd edn. J Phys Chem Ref Data, 14, vol 1, part 1

  • Duff RE (1959) Shock-tube performance at low initial pressure. Phys Fluids 2(2):207–216

    Article  MATH  MathSciNet  Google Scholar 

  • Garen W, Buss T, Forschepoth S, Becker M, Koch S, Novoselova E (2005) A novel mini-shock tube for generating shock waves at microscales in turbulent and laminar gas flows. In: Proccedings of 25th international symposium on shock waves, pp 764–769

  • Glass II, Sislian JP (1994) Nonstationary flows and shock waves. Clarendon Press, Oxford, p 105

    Google Scholar 

  • Hirschfelder JO, Curtiss CF, Bird RB (1954) Molecular theory of gases and liquids. Wiley, New York

    MATH  Google Scholar 

  • Karniadakis GE, Beskok A (2002) Microflow: fundamental and simulations. Springer, New York, p 340

    Google Scholar 

  • Medale M, Jaeger M (1997) Numerical simulation of incompressible flows with moving interfaces. Int J Num Meth Fluids 24:615–638

    Article  MATH  Google Scholar 

  • Mirels H (1963) Test time in low-pressure shock tubes. Phys Fluids 6(9):1201–1214

    Article  MATH  Google Scholar 

  • Séror S, Druguet M-C, Schall E, Zeitoun DE (1998) Coupled vibration/exchange reactions model for hypersonic airflow computations. AIAA J 36(4):532–538

    Article  Google Scholar 

  • Sides J, Brun R (1975) Méthode numérique de détermination des grandeurs de l’écoulement dans un tube à choc compte tenu de la couche limite pariétale. J de Mécanique, v 14, N 3

  • Sun M, Ogawa T, Takayama K (2001) Shock propagation in narrow channels. In: Lu FK (ed) Proceedings of 24th international symposium on shock waves, pp 1320–1327

  • Udagawa S, Maeno K, Golubeva I, Garen W (2007) Interferometric signal measurement of shock waves and contact surfaces in small scale shock tube. In: Proccedings of 26th international symposium on shock waves, p 2060

  • Zeitoun DE, Burtschell Y (2006) Navier–Stokes computation in micro shock tubes. Shock Waves 15:241–246

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to J. D. Parisse.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Parisse, J.D., Giordano, J., Perrier, P. et al. Numerical investigation of micro shock waves generation. Microfluid Nanofluid 6, 699–709 (2009). https://doi.org/10.1007/s10404-008-0336-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10404-008-0336-y

Keywords

Navigation