Skip to main content
×
Home
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 49
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Jiang, Hua Dong, Gang chen, Xiao and Wu, Jin-Tao 2016. Numerical simulations of the process of multiple shock–flame interactions. Acta Mechanica Sinica,


    Jiang, Hua Dong, Gang Chen, Xiao and Li, Baoming 2016. A parameterization of the Richtmyer–Meshkov instability on a premixed flame interface induced by the successive passages of shock waves. Combustion and Flame, Vol. 169, p. 229.


    Luo, Xisheng Guan, Ben Zhai, Zhigang and Si, Ting 2016. Principal curvature effects on the early evolution of three-dimensional single-mode Richtmyer-Meshkov instabilities. Physical Review E, Vol. 93, Issue. 2,


    Luo, Xisheng Guan, Ben Si, Ting Zhai, Zhigang and Wang, Xiansheng 2016. Richtmyer-Meshkov instability of a three-dimensionalSF6-air interface with a minimum-surface feature. Physical Review E, Vol. 93, Issue. 1,


    Mikaelian, Karnig O. 2016. Oscillations of a standing shock wave generated by the Richtmyer-Meshkov instability. Physical Review Fluids, Vol. 1, Issue. 3,


    Thornber, B. 2016. Impact of domain size and statistical errors in simulations of homogeneous decaying turbulence and the Richtmyer-Meshkov instability. Physics of Fluids, Vol. 28, Issue. 4, p. 045106.


    Wang, T. Bai, J.S. Li, P. Wang, B. Du, L. and Tao, G. 2016. Large-eddy simulations of the multi-mode Richtmyer–Meshkov instability and turbulent mixing under reshock. High Energy Density Physics, Vol. 19, p. 65.


    Wang, Tao Bai, Jingsong Li, Ping Wang, Bing Du, Lei Tao, Gang and Xiao, Jiaxin 2016. The Growth of Richtmyer-Meshkov Instability under Multiple Impingements. World Journal of Mechanics, Vol. 06, Issue. 04, p. 150.


    Zhou, Ye Cabot, William H. and Thornber, Ben 2016. Asymptotic behavior of the mixed mass in Rayleigh–Taylor and Richtmyer–Meshkov instability induced flows. Physics of Plasmas, Vol. 23, Issue. 5, p. 052712.


    Mikaelian, K. O. 2015. Testing an analytic model for Richtmyer–Meshkov turbulent mixing widths. Shock Waves, Vol. 25, Issue. 1, p. 35.


    Morgan, Brandon E. and Wickett, Michael E. 2015. Three-equation model for the self-similar growth of Rayleigh-Taylor and Richtmyer-Meskov instabilities. Physical Review E, Vol. 91, Issue. 4,


    Nelson, Nicholas J. and Grinstein, Fernando F. 2015. Effects of initial condition spectral content on shock-driven turbulent mixing. Physical Review E, Vol. 92, Issue. 1,


    Reilly, David McFarland, Jacob Mohaghar, Mohammad and Ranjan, Devesh 2015. The effects of initial conditions and circulation deposition on the inclined-interface reshocked Richtmyer–Meshkov instability. Experiments in Fluids, Vol. 56, Issue. 8,


    Wang, T. Tao, G. Bai, J.S. Li, P. and Wang, B. 2015. Numerical comparative analysis of Richtmyer–Meshkov instability simulated by different SGS models. Canadian Journal of Physics, Vol. 93, Issue. 5, p. 519.


    Griffond, Jérôme and Soulard, Olivier 2014. Evaluation of augmented RSM for interaction of homogeneous turbulent mixture with shock and rarefaction waves. Journal of Turbulence, Vol. 15, Issue. 9, p. 569.


    Malamud, G. Leinov, E. Sadot, O. Elbaz, Y. Ben-Dor, G. and Shvarts, D. 2014. Reshocked Richtmyer-Meshkov instability: Numerical study and modeling of random multi-mode experiments. Physics of Fluids, Vol. 26, Issue. 8, p. 084107.


    Mikaelian, Karnig O. 2014. Boussinesq approximation for Rayleigh-Taylor and Richtmyer-Meshkov instabilities. Physics of Fluids, Vol. 26, Issue. 5, p. 054103.


    Morán-López, J. T. and Schilling, O. 2014. Multi-component Reynolds-averaged Navier–Stokes simulations of Richtmyer–Meshkov instability and mixing induced by reshock at different times. Shock Waves, Vol. 24, Issue. 3, p. 325.


    Weber, Christopher R. Haehn, Nicholas S. Oakley, Jason G. Rothamer, David A. and Bonazza, Riccardo 2014. An experimental investigation of the turbulent mixing transition in the Richtmyer–Meshkov instability. Journal of Fluid Mechanics, Vol. 748, p. 457.


    Zhai, Zhigang Zhang, Fu Si, Ting and Luo, Xisheng 2014. Evolution of heavy gas cylinder under reshock conditions. Journal of Visualization, Vol. 17, Issue. 2, p. 123.


    ×
  • Journal of Fluid Mechanics, Volume 626
  • May 2009, pp. 449-475

Experimental and numerical investigation of the Richtmyer–Meshkov instability under re-shock conditions

  • E. LEINOV (a1), G. MALAMUD (a1) (a2), Y. ELBAZ (a2), L. A. LEVIN (a1) (a2), G. BEN-DOR (a1), D. SHVARTS (a1) (a2) and O. SADOT (a1) (a2)
  • DOI: http://dx.doi.org/10.1017/S0022112009005904
  • Published online: 10 May 2009
Abstract

An experimental and numerical systematic study of the growth of the Richtmyer–Meshkov instability-induced mixing following a re-shock is made, where the initial shock moves from the light fluid to the heavy one, over an incident Mach number range of 1.15–1.45. The evolution of the mixing zone following the re-shock is found to be independent of its amplitude at the time of the re-shock and to depend directly on the strength of the re-shock. A linear growth of the mixing zone with time following the passage of the re-shock and before the arrival of the reflected rarefaction wave is found. Moreover, when the mixing zone width is plotted as a function of the distance travelled, the growth slope is found to be independent of the re-shock strength. A comparison of the experimental results with direct numerical simulation calculations reveals that the linear growth rate of the mixing zone is the result of a bubble competition process.

Copyright
Corresponding author
E-mail address for correspondence: sorens@bgu.ac.il
Linked references
Hide All

This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

U. Alon , J. Hecht , D. Mukamel & D. Shvarts 1994 Scale invariant mixing rates of hydrodynamically unstable interfaces. Phys. Rev. Lett. 72 (4), 28672870.

U. Alon , J. Hecht , D. Ofer & D. Shvarts 1995 Power laws and similarity of Rayleigh–Taylor and Richtmyer–Meshkov mixing fronts at all density ratios. Phys. Rev. Lett. 74 (4), 534537.

D. Arnett 2000 The role of mixing in astrophysics. Astrophys. J. Supp. 127, 213217.

M. Brouillette & B. Sturtevant 1993 Experiments on the Richtmyer–Meshkov instability: small-scale perturbations on a plane interface. Phys. Fluids A 5 (4), 916930.

V. M. Canuto & I. Goldman 1985 Analytical model for large scale turbulence. Phys. Rev. Lett. 54, 430433.

A. A. Charakhch'yan 2001 Reshocking at the non-linear stage of Richtmyer–Meshkov instability. Plasma Phys. Control. Fusion 43, 11691179.

G. Dimonte & M. Schneider 2000 Density ratio dependence of Rayleigh–Taylor mixing sustained and impulsive acceleration histories. Phys. Fluids 12 (2), 304321.

L. Erez , O. Sadot , D. Oron , G. Erez , L. A. Levin , D. Shvarts & G. Ben-Dor 2000 Study of the membrane effect on turbulent mixing measurements in shock tubes. Shock Waves 10, 241251.

S. W. Haan 1989 Onset of nonlinear saturation for Rayleigh–Taylor growth in the presence of a full spectrum of modes. Phys. Rev. A 39 (11), 58125825.

L. Houas & I. Chemouni 1996 Experimental investigation of the Richtmyer–Meshkov instability in shock tube. Phys. Fluids 8, 614624.

D. Layzer 1955 On the instability of superposed fluids in a gravitational field. Astrophys. J. 122 (1), 112.

J. D. Lindl , R. L. McCrory & E. M. Campball 1992 Progress toward ignition and burn propagation in inertial confinement fusion. Phys. Today 45 (9), 3250.

G. Malamud , D. Levi-Hevroni & A. Levy 2003 Two-dimensional model for simulating shock-wave interaction with rigid porous materials. AIAA J. 41 (4), 663673.

E. E. Meshkov 1969 Instability of the interface of two gases accelerated by a shock wave. Sov. Fluid Dyn. 4, 101108.

K. O. Mikaelian 1989 Turbulent mixing generated by Rayliegh–Taylor and Richtmyer–Meshkov instabilities. Phys. D 36, 343357.

D. Ofer , U. Alon , D. Shvarts , R. L. McCrory & C. P. Verdon 1996 Modal model for the nonlinear multimode Rayleigh–Taylor instability. Phys. Plasmas 3, 30733090.

D. Oron , L. Arazi , D. Kartoon , A. Rikanati , Alon U. & D. Shvarts 2001 Dimensionality dependence of the Rayleigh–Taylor and Richtmyer–Meshkov instability late-time scaling laws. Phys. Plasmas 8 (6), 28832889.

K. I. Read 1984 Experimental investigation of turbulent mixing by Rayleigh–Taylor instability. Phys. D 12, 4558.

R. D. Richtmyer 1960 Taylor instability in shock acceleration of compressible fluids. Commun. Pure Appl. Math. 13, 297319.

O. Sadot , L. Erez , D. Oron , G. Erez , G. Ben-Dor , Alon, U, L. A. Levin & D. Shvarts 2000 Studies on the nonlinear evolution of the Richtmyer–Meshkov instability. Astrophys. J. Supp. 127, 469473.

O. Schilling , M. Latini & W. S. Don 2007 Physics of reshock and mixing in single-mode Richtmyer-Meshkov instability. Phys. Rev. E 76, 026319.

Y. Srebro , Y. Elbaz , O. Sadot , L. Arazi & D. Shvarts 2003 A general buoyancy-drag model for the evolution of the Rayleigh–Taylor and Richtmyer–Meshkov instabilities. Laser Particle Beams 21, 347353.

G. I. Taylor 1950 The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. Proc. R. Soc. A 201, 192196.

M. Vetter & B. Sturtevant 1995 Experiments on the Richtmyer–Meshkov instability of an air/SF6 interface. Shock Waves 4 (5), 247252.

D. L. Youngs 1984 Numerical simulation of turbulent mixing by Rayleigh–Taylor instability. Phys. D 12, 3244.

Q. Zhang & S. Sohn 1996 An analytical nonlinear theory of Richtmyer–Meshkov instability driven by cylindrical shocks. Phys. Lett A 212, 149155.

Q. Zhang & S. Sohn 1997 Nonlinear theory of unstable fluid mixing driven by shock wave. Phys. Fluids 9 (4), 11061124.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×
MathJax