Skip to main content
Top

2017 | OriginalPaper | Chapter

A Review of the Richtmyer-Meshkov Instability from an Experimental Perspective

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

The events following the impulsive acceleration (e.g. by a shock wave) of the interface between gases of different acoustic impedance can be classified into two main categories: the refraction of the shock (involving a transmitted and a reflected shock and the distortion of their shapes) and the baroclinic generation of vorticity at the interface consequent to the non-zero cross product between the density gradient associated with the interface and the pressure gradient across the shock wave. The resulting flow field leads to the unbounded growth of any perturbations initially present on the interface, a phenomenon called the Richtmyer-Meshkov instability (RMI). Because it originates from baroclinic vorticity, the RMI can be interpreted as the “impulsive analog” of the Rayleigh-Taylor instability (RTI) which develops at an interface subjected to sustained acceleration.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference Taylor, G.I: The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. I. Proc. Roy. Soc. A 201, 192 (1950)MathSciNetCrossRefMATH Taylor, G.I: The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. I. Proc. Roy. Soc. A 201, 192 (1950)MathSciNetCrossRefMATH
2.
go back to reference Richtmyer, R.D.: Taylor instability in shock acceleration of compressible fluids. Comm. Pure Appl. Math. 8, 297 (1960)MathSciNetCrossRef Richtmyer, R.D.: Taylor instability in shock acceleration of compressible fluids. Comm. Pure Appl. Math. 8, 297 (1960)MathSciNetCrossRef
3.
go back to reference Meshkov, Y.Y.: Instability of the interface of two gases accelerated by a shock wave. Fluid Dyn. 4, 101 (1969). [Izv. Akad. Nauk SSSR Mekh. Zhdik. Gaza 5, 151 (1969)] Meshkov, Y.Y.: Instability of the interface of two gases accelerated by a shock wave. Fluid Dyn. 4, 101 (1969). [Izv. Akad. Nauk SSSR Mekh. Zhdik. Gaza 5, 151 (1969)]
4.
go back to reference Andronov, V.A., Bakhrakh, S.M., Meshkov, E.E., Mokhov, V.N., Nikiforov, V.V., Pevnitskii, A.V., Tolshmyakov, A.I.: Turbulent mixing at contact surface accelerated by shock waves. Sov. Phys. JETP 44 (2), 424 (1976) Andronov, V.A., Bakhrakh, S.M., Meshkov, E.E., Mokhov, V.N., Nikiforov, V.V., Pevnitskii, A.V., Tolshmyakov, A.I.: Turbulent mixing at contact surface accelerated by shock waves. Sov. Phys. JETP 44 (2), 424 (1976)
5.
go back to reference Aleshin, A.N., Lazareva, E.V., Zaitsev, S.G., Rozanov, V.B., Gamalli, E.G., Lebo, I.G.: Linear, nonlinear, and transient stages in the development of the Richtmyer-Meshkov instability. Sov. Tech. Phys. Lett. 35 (2), 159 (1990) Aleshin, A.N., Lazareva, E.V., Zaitsev, S.G., Rozanov, V.B., Gamalli, E.G., Lebo, I.G.: Linear, nonlinear, and transient stages in the development of the Richtmyer-Meshkov instability. Sov. Tech. Phys. Lett. 35 (2), 159 (1990)
6.
go back to reference Vetter, M., Sturtevant, B.: Experiments on the Richtmyer-Meshkov instability of an air/SF6 interface. Shock Waves 4, 247 (1995)CrossRef Vetter, M., Sturtevant, B.: Experiments on the Richtmyer-Meshkov instability of an air/SF6 interface. Shock Waves 4, 247 (1995)CrossRef
7.
go back to reference Nevmerzhitsky, N.V., Sotskov, E.A., Senkovsky, E.D., Razin, A.N., Ustinenko, V.A., Krivonos, O.L., Tochilina, L.V.: The influence of the Mach number of shock waves on turbulent mixing growth at an interface of gases. Phys. Scr. T142, 014016 (2010)CrossRef Nevmerzhitsky, N.V., Sotskov, E.A., Senkovsky, E.D., Razin, A.N., Ustinenko, V.A., Krivonos, O.L., Tochilina, L.V.: The influence of the Mach number of shock waves on turbulent mixing growth at an interface of gases. Phys. Scr. T142, 014016 (2010)CrossRef
8.
go back to reference Vanderboomgaerde, M., Souffland, D., Mariani, C., Biamino, L., Jourdan, G., Houas, L.: An experimental and numerical investigation of the dependency on the initial conditions of the Richtmyer-Meshkov instability. Phys. Fluids 24, 024109 (2014)CrossRef Vanderboomgaerde, M., Souffland, D., Mariani, C., Biamino, L., Jourdan, G., Houas, L.: An experimental and numerical investigation of the dependency on the initial conditions of the Richtmyer-Meshkov instability. Phys. Fluids 24, 024109 (2014)CrossRef
9.
go back to reference Malamud, G., Leinov, E., Sadot, O., Elbaz, Y., Ben-Dor, G., Shvarts, D.: Reshocked Richtmyer-Meshkov instability: Numerical study and modeling of random multi-mode experiments. Phys. Fluids 26, 084107 (2014)CrossRefMATH Malamud, G., Leinov, E., Sadot, O., Elbaz, Y., Ben-Dor, G., Shvarts, D.: Reshocked Richtmyer-Meshkov instability: Numerical study and modeling of random multi-mode experiments. Phys. Fluids 26, 084107 (2014)CrossRefMATH
10.
go back to reference Luo, X., Wang, X., Si, T.: The Richtmyer-Meshkov instability of a three-dimensional air/SF6 interface with a minimum-surface feature. J. Fluid Mech. 722, R2 (2013)CrossRefMATH Luo, X., Wang, X., Si, T.: The Richtmyer-Meshkov instability of a three-dimensional air/SF6 interface with a minimum-surface feature. J. Fluid Mech. 722, R2 (2013)CrossRefMATH
11.
go back to reference Erez, L., Sadot, O., Oron, D., Erez, G., Levin, L.A., Shvarts, D., Ben-Dor, G.: Study of the membrane effect on turbulent mixing measurements in shock tubes. Shock Waves 10, 241–251 (2000)CrossRef Erez, L., Sadot, O., Oron, D., Erez, G., Levin, L.A., Shvarts, D., Ben-Dor, G.: Study of the membrane effect on turbulent mixing measurements in shock tubes. Shock Waves 10, 241–251 (2000)CrossRef
12.
go back to reference Jacobs, J.W., Jenkins, D.G., Klein, D.L., Benjamin, R.F.: Nonlinear growth of the shock-accelerated instability of a thin fluid layer. J. Fluid Mech. 295, 2342 (1995)MathSciNetCrossRef Jacobs, J.W., Jenkins, D.G., Klein, D.L., Benjamin, R.F.: Nonlinear growth of the shock-accelerated instability of a thin fluid layer. J. Fluid Mech. 295, 2342 (1995)MathSciNetCrossRef
13.
go back to reference Orlicz, G.C., Balasubramanian, S., Prestridge, K.P.: Incident shock Mach number effects on Richtmyer-Meshkov mixing in a heavy gas layer. Phys. Fluids 25, 114101 (2013)CrossRef Orlicz, G.C., Balasubramanian, S., Prestridge, K.P.: Incident shock Mach number effects on Richtmyer-Meshkov mixing in a heavy gas layer. Phys. Fluids 25, 114101 (2013)CrossRef
14.
go back to reference Brouillette, M., Sturtevant, B.: Experiments on the Richtmyer-Meshkov instability: Small scale perturbations on a plane interface. Phys. Fluids A 5 (4), 916–930 (1993)CrossRef Brouillette, M., Sturtevant, B.: Experiments on the Richtmyer-Meshkov instability: Small scale perturbations on a plane interface. Phys. Fluids A 5 (4), 916–930 (1993)CrossRef
15.
go back to reference Brouillette, B., Sturtevant, B.: Experiments on the Richtmyer-Meshkov instability: single scale perturbations on a continuous interface. J. Fluid Mech. 263, 271–292 (1994)CrossRef Brouillette, B., Sturtevant, B.: Experiments on the Richtmyer-Meshkov instability: single scale perturbations on a continuous interface. J. Fluid Mech. 263, 271–292 (1994)CrossRef
16.
go back to reference Bonazza, R., Sturtevant, B.: X-ray measurements of growth rates at a gas interface accelerated by shock waves. Phys. Fluids 8 (9), 2496–2512 (1996)CrossRef Bonazza, R., Sturtevant, B.: X-ray measurements of growth rates at a gas interface accelerated by shock waves. Phys. Fluids 8 (9), 2496–2512 (1996)CrossRef
17.
go back to reference Jones, M.A., Jacobs, J.W.: A membraneless experiment for the study of Richtmyer-Meshkov instability of a shock-accelerated gas interface. Phys. Fluids 9 (10), 3078–3085 (1997)CrossRef Jones, M.A., Jacobs, J.W.: A membraneless experiment for the study of Richtmyer-Meshkov instability of a shock-accelerated gas interface. Phys. Fluids 9 (10), 3078–3085 (1997)CrossRef
18.
go back to reference Jacobs, J.W., Krivets, V.V., Tsiklashvili, V., Likhachev, O.A.: Experiments on the Richtmyer-Meshkov instability with an imposed, random initial perturbation. Shock Waves 23, 407–413 (2013)CrossRef Jacobs, J.W., Krivets, V.V., Tsiklashvili, V., Likhachev, O.A.: Experiments on the Richtmyer-Meshkov instability with an imposed, random initial perturbation. Shock Waves 23, 407–413 (2013)CrossRef
19.
go back to reference Morgan, R.V., Aure, R., Stockero, J.D., Greenough, J.A., Cabot, W., Likhachev, O.A., Jacobs, J.W.: On the late-time growth of the two-dimensional Richtmyer-Meshkov instability in shock tube experiments. J. Fluid Mech. 712, 354–383 (2012)MathSciNetCrossRefMATH Morgan, R.V., Aure, R., Stockero, J.D., Greenough, J.A., Cabot, W., Likhachev, O.A., Jacobs, J.W.: On the late-time growth of the two-dimensional Richtmyer-Meshkov instability in shock tube experiments. J. Fluid Mech. 712, 354–383 (2012)MathSciNetCrossRefMATH
20.
go back to reference Motl, B., Oakley, J., Ranjan, D., Weber, C., Anderson, M., Bonazza, R.: Experimental validation of a Richtmyer-Meshkov scaling law over large density ratio and shock strength ranges. Phys. Fluids 21, 126102 (2009)CrossRefMATH Motl, B., Oakley, J., Ranjan, D., Weber, C., Anderson, M., Bonazza, R.: Experimental validation of a Richtmyer-Meshkov scaling law over large density ratio and shock strength ranges. Phys. Fluids 21, 126102 (2009)CrossRefMATH
21.
go back to reference Weber, C., Haehn, N., Oakley, J., Anderson, M., Bonazza, R.: Richtmyer-Meshkov instability on a low Atwood number interface after reshock. Shock Waves 22, 317–325 (2012)CrossRef Weber, C., Haehn, N., Oakley, J., Anderson, M., Bonazza, R.: Richtmyer-Meshkov instability on a low Atwood number interface after reshock. Shock Waves 22, 317–325 (2012)CrossRef
22.
go back to reference Weber, C., Haehn, N., Oakley, J., Rothamer, D., Bonazza, R.: Turbulent mixing measurements in the Richtmyer-Meshkov instability. Phys. Fluids 24, 074105 (2012)CrossRef Weber, C., Haehn, N., Oakley, J., Rothamer, D., Bonazza, R.: Turbulent mixing measurements in the Richtmyer-Meshkov instability. Phys. Fluids 24, 074105 (2012)CrossRef
23.
go back to reference Weber, C, Haehn, N., Oakley, J., Rothamer, D., Bonazza, R.: An experimental investigation of the turbulent mixing transition in the Richtmyer-Meshkov instbility. J. Fluid Mech. 748, 457–487 (2014)CrossRef Weber, C, Haehn, N., Oakley, J., Rothamer, D., Bonazza, R.: An experimental investigation of the turbulent mixing transition in the Richtmyer-Meshkov instbility. J. Fluid Mech. 748, 457–487 (2014)CrossRef
24.
go back to reference Mikaelian, K.O.: Explicit expressions for the evolution of single-mode Rayleigh-Taylor and Richtmyer-Meshkov instabilities at arbitrary Atwood numbers. Phys. Rev. E 67, 026319 (2003)CrossRef Mikaelian, K.O.: Explicit expressions for the evolution of single-mode Rayleigh-Taylor and Richtmyer-Meshkov instabilities at arbitrary Atwood numbers. Phys. Rev. E 67, 026319 (2003)CrossRef
25.
go back to reference Oron, D., Arazi, L., Kartoon, D., Rikanati, A., Alon, U., Shvarts, D.: Dimensionality dependence of the Rayleigh-Taylor and Richtmyer-Meshkov instability late-time scaling laws. Phys. Plasmas 8, 2108–2115 (2001)CrossRef Oron, D., Arazi, L., Kartoon, D., Rikanati, A., Alon, U., Shvarts, D.: Dimensionality dependence of the Rayleigh-Taylor and Richtmyer-Meshkov instability late-time scaling laws. Phys. Plasmas 8, 2108–2115 (2001)CrossRef
26.
27.
go back to reference Sadot, O., Erez, L., Alon, U., Oron, D., Levin, L.A., Erez, G., Ben-Dor, G., Shvarts, D.: Study of nonlinear evolution of single-mode and two-bubble interaction under Richtmyer-Meshkov instability. Phys. Rev. Lett. 80, 1654–1657 (1988)CrossRef Sadot, O., Erez, L., Alon, U., Oron, D., Levin, L.A., Erez, G., Ben-Dor, G., Shvarts, D.: Study of nonlinear evolution of single-mode and two-bubble interaction under Richtmyer-Meshkov instability. Phys. Rev. Lett. 80, 1654–1657 (1988)CrossRef
28.
go back to reference Mikaelian, K.O.: Testing an analytic model for Richtmyer-Meshkov turbulent mixing widths. Shock Waves 25, 35–45 (2015)CrossRef Mikaelian, K.O.: Testing an analytic model for Richtmyer-Meshkov turbulent mixing widths. Shock Waves 25, 35–45 (2015)CrossRef
29.
go back to reference Tritschler, V.K., Hickel, S., Hu, X.Y., Adams, N.A.: On the Kolmogorov inertial subrange developing from Richtmyer-Meshkov instability. Phys. Fluids 25, 071701 (2013)CrossRef Tritschler, V.K., Hickel, S., Hu, X.Y., Adams, N.A.: On the Kolmogorov inertial subrange developing from Richtmyer-Meshkov instability. Phys. Fluids 25, 071701 (2013)CrossRef
Metadata
Title
A Review of the Richtmyer-Meshkov Instability from an Experimental Perspective
Author
R. Bonazza
Copyright Year
2017
DOI
https://doi.org/10.1007/978-3-319-46213-4_3

Premium Partners