Skip to main content
Log in

On impedance in shock-refraction problems

  • Technical Note
  • Published:
Shock Waves Aims and scope Submit manuscript

Abstract

Publications on shock-refraction problems typically predict wave patterns resulting from the interaction from the acoustic-impedance ratio. In this note, an analysis based on the shock-impedance ratio is used to derive conditions under which the acoustic-impedance ratio predicts the incorrect type of reflected wave. The range of density ratios for which incorrect types of reflected waves are predicted is found to be quite narrow.

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.

References

  1. Niederhaus J.H., Greenough J.A., Oakley J.G., Ranjan D., Anderson M.H., Bonazza R.: A computational parameter study for the three-dimensional shock–bubble interaction. J. Fluid Mech. 594, 85–124 (2008)

    Article  MATH  Google Scholar 

  2. Ranjan D., Oakley J., Bonazza R.: Shock-bubble interactions. Annu. Rev. Fluid Mech. 43, 117–140 (2011)

    Article  MathSciNet  Google Scholar 

  3. Henderson L.F.: On the refraction of shock waves. J. Fluid Mech. 198, 365–386 (1989)

    Article  MathSciNet  MATH  Google Scholar 

  4. Henderson L.F.: The refraction of a plane shock wave at a gas interface. J. Fluid Mech. 26, 607–637 (1966)

    Article  Google Scholar 

  5. Taub A.H.: Refraction of Plane Shock Waves. Phys. Rev. 72(1), 51–60 (1947)

    Article  MathSciNet  MATH  Google Scholar 

  6. Paterson S.: The reflection of a plane shock wave at a gaseous interface. Proc. Phys. Soc. 61(2), 119–121 (1948)

    Article  MATH  Google Scholar 

  7. Glass I.I., Sislian J.P.: Nonstationary Flows and Shock Waves. Clarendon Press, Oxford (1994)

    Google Scholar 

  8. Owczarek J.A.: Fundamentals of Gas Dynamics. International Textbook Company, Scranton (1964)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. Haselbacher.

Additional information

Communicated by R. Bonazza.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Haselbacher, A. On impedance in shock-refraction problems. Shock Waves 22, 381–384 (2012). https://doi.org/10.1007/s00193-012-0377-8

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00193-012-0377-8

Keywords

Navigation