Skip to main content

Experimental Study on the Interaction of Planar Shock Wave with Square Helium Cylinder

  • Conference paper
29th International Symposium on Shock Waves 2 (ISSW 2013)

Included in the following conference series:

  • 1510 Accesses

Abstract

When a shock wave passes through an interface between two fluids with different properties, the reflected, transmitted and refracted waves will be produced and the baroclinic vorticity will be deposited on the interface due to the misalignment of the pressure and the density gradients. Under the action of the produced vorticity, the shape of the interface will be distorted and ultimately, the fluids will mix with each other thoroughly. This interface instability is well known as the Richtmyer- Meshkov (RM) instability [1, 2].

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Richtmyer, R.D.: Taylor instability in shock acceleration of compressible fluids. Pure Appl. Math. 13, 297–319 (1960)

    Article  MathSciNet  MATH  Google Scholar 

  2. Meshkov, E.E.: Instability of the interface of two gases accelerated by a shock wave. Fluid Dyn. 4, 101–104 (1969)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  3. Haas, J.F., Sturtevan, B.: Interaction of weak shock waves with cylindrical and spherical gas inhomogeneities. J. Fluid Mech. 118, 41–76 (1987)

    Article  ADS  Google Scholar 

  4. Bates, K.R., Nikiforakisb, N.: Richtmyer-Meshkov instability induced by the interaction of a shock wave with a rectangular block of SF6. Phys. Fluids 19, 0036101 (2007)

    Google Scholar 

  5. Hosseini, S.H.R., Takayama, K.: Experimental study of Richtmyer-Meshkov instability induced by cylindrical shock waves. Phys. Fluids 17, 084101 (2005)

    Article  Google Scholar 

  6. Layes, G., Jourdan, G., Houas, L.: Experimental investigation of a strongly shocked gas bubble. Phys. Rev. Lett. 91, 174502 (2003)

    Article  ADS  Google Scholar 

  7. Ranjan, D., Anderson, M., Oakley, J., Bonazza, R.: Interaction of weak shock waves with cylindrical and spherical gas inhomogeneities. Phys. Rev. Lett. 94, 184507 (2005)

    Article  ADS  MATH  Google Scholar 

  8. Si, T., Zhai, Z., Luo, X., Yang, J.B.: Experimental studies of reshocked spherical gas interfaces. Phys. Fluids 24, 054101 (2012)

    Article  ADS  Google Scholar 

  9. Wang, M., Si, T., Luo, X.: Generation of polygonal gas interfaces by soap film for Richtmyer-Meshkov instability study. Exp. Fluids 54, 1427 (2013)

    Article  Google Scholar 

  10. Sun, M.: Numerical and experimental studies of shock wave interation with bodies. PhD thesis, Tohoku University, Sendai of Japan (1998)

    Google Scholar 

  11. Sun, M., Takayama, K.: Conservative smoothing on an adaptive quadrilateral grid. J. Comput. Phys. 150, 143–180 (1999)

    Article  ADS  Google Scholar 

  12. Luo, X., Lamanna, G., Holten, A.P.C., van Dongen, M.E.H.: Effects of homogeneous condensation in compressible flows: Ludwiegtube experiments and simulations. J. Fluid Mech. 572, 339–366 (2007)

    Article  ADS  Google Scholar 

  13. Zhai, Z., Si, T., Luo, X., Yang, J.: On the evolution of spherical gas interfaces accelerated by a planar shock wave. Phys. Fluids 23, 084104 (2011)

    Article  Google Scholar 

  14. Han, Z., Yin, X.: Shock Dynamics, pp. 288–288. Kluwer Academic Publishers and Science Press (1992)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this paper

Cite this paper

Wang, M., Si, T., Luo, X. (2015). Experimental Study on the Interaction of Planar Shock Wave with Square Helium Cylinder. In: Bonazza, R., Ranjan, D. (eds) 29th International Symposium on Shock Waves 2. ISSW 2013. Springer, Cham. https://doi.org/10.1007/978-3-319-16838-8_42

Download citation

Publish with us

Policies and ethics