Experiments in Fluids

, 55:1823 | Cite as

Simultaneous concentration and velocity field measurements in a shock-accelerated mixing layer

  • Daniel Reese
  • Jason Oakley
  • Alonso Navarro-Nunez
  • David Rothamer
  • Chris Weber
  • Riccardo Bonazza
Research Article

Abstract

A novel technique to obtain simultaneous velocity and concentration measurements is applied to the Richtmyer–Meshkov instability. After acceleration by a Mach 2.2 shock wave, the interface between the two gases develops into a turbulent mixing layer. A time-separated pair of acetone planar laser-induced fluorescence images are processed to yield concentration and, through application of the Advection-Corrected Correlation Image Velocimetry technique, velocity fields. This is the first application of this technique to shock-accelerated flows. We show that when applied to numerical simulations, this technique reproduces the velocity field to a similar quality as particle image velocimetry. When applied to the turbulent mixing layer of the experiments, information about the Reynolds number and anisotropy of the flow is obtained.

Notes

Acknowledgments

The authors would like to thank Dr. Xylar Asay-Davis for his valuable correspondence and assistance with the ACCIV software. This research was partially supported by US Department of Energy Grant DE-FG52-06NA26196.

References

  1. Anderson M, Puranik B, Oakley J, Bonazza R (2000) Shock tube investigation of hydrodynamic issues related to inertial confinement fusion. Shock Waves 10:377–387CrossRefGoogle Scholar
  2. Arnett D (2000) The role of mixing in astrophysics. Astrophys J Suppl Ser 127(2):213–217CrossRefGoogle Scholar
  3. Asay-Davis X, Marcus PS, Wong MH, dePater I (2009) Jupiter’s shrinking Great Red Spot and steady Oval BA: velocity measurements with the ‘Advection Corrected Correlation Image Velocimetry’ automated cloud tracking Method. Icarus 203:164–188CrossRefGoogle Scholar
  4. Balakumar BJ, Orlicz GC, Tomkins CD, Prestridge KP (2008) Simultaneous particle-image velocimetry–planar laser-induced fluorescence measurements of Richtmyer-Meshkov instability growth in a gas curtain with and without reshock. Phys Fluids 20:124103CrossRefGoogle Scholar
  5. Brouillette M, Sturtevant B (1994) Experiments on the Richtmyer-Meshkov instability: single-scale perturbations on a continuous interface. J Fluid Mech 263:271–292CrossRefGoogle Scholar
  6. Cook AW (2007) Artificial fluid properties for large-eddy simulation of compressible turbulent mixing. Phys Fluids 19:055103CrossRefGoogle Scholar
  7. Dimotakis PE (2000) The mixing transition in turbulent flows. J Fluid Mech 409:69–98MathSciNetCrossRefMATHGoogle Scholar
  8. Lombardini M, Pullin DI, Meiron DI (2012) Transition to turbulence in shock-driven mixing: a Mach number study. J Fluid Mech 690:203–226MathSciNetCrossRefMATHGoogle Scholar
  9. Ma T et al (2013) Onset of hydrodynamic mix in high-velocity, highly compressed inertial confinement fusion implosions. Phys Rev Lett 111:085004CrossRefGoogle Scholar
  10. Meshkov EE (1970) Instability of a shock wave accelerated interface between two gases. NASA Tech Transl 13:1–14Google Scholar
  11. Olson B, Greenough J (2014) Large eddy simulation requirements for the Richtmyer-Meshkov instability. Phys Fluids 26:044103CrossRefGoogle Scholar
  12. Pope SB (2000) Turbulent flows. Cambridge University Press, CambridgeCrossRefMATHGoogle Scholar
  13. Prestridge K, Rightley PM, Vorobieff P, Benjamin RF, Kurnit NA (2000) Simultaneous density-field visualization and PIV of a Shock-accelerated Gas Curtain. Exp Fluids 29:339–346CrossRefGoogle Scholar
  14. Richtmyer RD (1960) Taylor instability in shock acceleration of compressible fluids. Commun Pure Appl Math 13:297–319MathSciNetCrossRefGoogle Scholar
  15. Taylor ZJ, Gurka R, Kopp GA, Liberzon A (2010) Long-duration time-resolved PIV to study unsteady Aerodynamics. IEEE Trans Instrum Meas 59(12):3262–3269CrossRefGoogle Scholar
  16. Thornber B, Drikakis D, Youngs DL, Williams RJR (2010) The influence of initial conditions on turbulent mixing due to Richtmyer-Meshkov instability. J Fluid Mech 654:99–139CrossRefMATHGoogle Scholar
  17. Tokumaru PT, Dimotakis PE (1995) Image correlation velocimetry. Exp Fluids 19(1):1–15CrossRefGoogle Scholar
  18. Vorobieff P, Anderson M, Conroy J, White R, Truman CR, Kumar S (2011) Vortex formation in shock accelerated gas induced by particle seeding. Phys Rev Lett 106:184503-1–184503-4CrossRefGoogle Scholar
  19. Weber C. (2012) Turbulent Mixing Measurements in the Richtmyer-Meshkov Instability (Doctoral dissertation, University of Wisconsin-Madison). Available from ProQuest Dissertations and Thesis database. (UMI no. 3548185)Google Scholar
  20. Weber C, Haehn N, Oakley J, Rothamer D, Bonazza R (2012) Turbulent mixing measurements in the Richtmyer–Meshkov instability. Phys. of Fluids 24:074105CrossRefGoogle Scholar
  21. Weber C, Cook A, Bonazza R (2013) Growth rate of a shocked mixing layer with known initial perturbations. J Fluid Mech 725:372–401MathSciNetCrossRefMATHGoogle Scholar
  22. Weber C, Haehn N, Oakley J, Rothamer D, Bonazza R (2014) An experimental investigation of the turbulent mixing transition in the Richtmyer-Meshkov instability. J Fluid Mech 784:457–487CrossRefGoogle Scholar
  23. Westerweel J, Elsinga GE, Adrian RJ (2013) Particle image velocimetry for complex and turbulent flows. Annu Rev Fluid Mech 45:409–436MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Daniel Reese
    • 1
  • Jason Oakley
    • 1
  • Alonso Navarro-Nunez
    • 1
  • David Rothamer
    • 2
  • Chris Weber
    • 3
  • Riccardo Bonazza
    • 1
  1. 1.Department of Engineering PhysicsUniversity of Wisconsin—MadisonMadisonUSA
  2. 2.Department of Mechanical EngineeringUniversity of Wisconsin—MadisonMadisonUSA
  3. 3.Lawrence Livermore National LaboratoryLivermoreUSA

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