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  • Journal of Fluid Mechanics, Volume 611
  • September 2008, pp. 131-150

An experimental investigation of mixing mechanisms in shock-accelerated flow

  • C. TOMKINS (a1), S. KUMAR (a1), G. ORLICZ (a1) and K. PRESTRIDGE (a1)
  • DOI:
  • Published online: 25 September 2008

An experimental investigation of mixing mechanisms in a shock-induced instability flow is described. We obtain quantitative two-dimensional maps of the heavy-gas (SF6) concentration using planar laser-induced fluorescence for the case of a shock-accelerated cylinder of heavy gas in air. The instantaneous scalar dissipation rate, or mixing rate, χ, is estimated experimentally for the first time in this type of flow, and used to identify the regions of most intense post-shock mixing and examine the underlying mechanisms. We observe instability growth in certain regions of the flow beginning at intermediate times. The mixing rate results show that while these unstable regions play a significant role in the mixing process, a large amount of mixing also occurs by mechanisms directly associated with the primary instability, including gradient intensification via the large-scale strain field in a particular non-turbulent region of the flow.

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R. J. Adrian 1991 Particle-imaging techniques for experimental fluid mechanics. Annu. Rev. Fluid Mech. 23, 261.

W. Arnett , J. Bahcall , R. Kirshner & S. Woosley 1989 Supernova 1987a. Annu. Rev. Astron. Astrophys. 27, 629.

M. Brouillette 2002 The Richtmyer–Meshkov instability. Annu. Rev. Fluid Mech. 34, 445.

V. Eswaran & S. Pope 1988 Direct numerical simulation of the turbulent mixing of a passive scalar. Phys. Fluids 31, 506.

S. Girimaji 1992 On the modeling of scalar diffusion in isotropic turbulence. Phys. Fluids A 4, 2529.

J. Jacobs 1993 The dynamics of shock-accelerated light and heavy gas cylinders. Phys. Fluids A 5, 2239.

S. Kumar , G. Orlicz , C. Tomkins , C. Goodenough , K. Prestridge , P. Vorobieff & R. Benjamin 2005 Stretching of material lines in shock-accelerated gaseous flows. Phys. Fluids 17, 1.

J. Lindl , R. McCrory & E. Campbell 1992 Progress toward ignition and burn propagation in inertial confinement fusion. Phys. Today 45, 32.

A. Lozano , B. Yip & R. Hanson 1992 Acetone: a tracer for concentration measurements in gaseous flows by planar laser-induced fluorescence. Exps. Fluids 13, 369.

F. E. Marble 1985 Growth of a diffusion flame in the field of a vortex. In Recent Advances in the Aerospace Sciences (ed. C. Casci ), p. 395. Plenum.

G. Peng , N. Zabusky & S. Zhang 2003 Vortex-accelerated secondary baroclinic vorticity deposition and late-intermediate time dynamics of a two-dimensional richtmyer-meshkov interface. Phys. Fluids 15, 3730.

P. Rightley , P. Vorobieff , R. Martin & R. Benjamin 1999 Experimental observations of the mixing transition in a shock-accelerated gas curtain. Phys. Fluids 11, 186.

G. I. Taylor 1950 The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. Proc. R. Soc. Lond. A 201, 192.

C. Tomkins , K. Prestridge , P. Rightley , M. Marr-Lyon , P. Vorobieff & R. Benjamin 2003 A quantitative study of the interaction of two Richtmyer–Meshkov-unstable gas cylinders. Phys. Fluids 15, 986.

C. Tomkins , K. Prestridge , P. Rightley , P. Vorobieff & R. Benjamin 2002 Flow morphologies of two shock-accelerated, unstable gas cylinders. J. Vis. 5, 273.

J. Yang , T. Kubota & E. Zukowski 1993 Applications of shock-induced mixing to supersonic combustion. AIAA J. 31, 854.

N. Zabusky 1999 Vortex paradigm for accelerated inhomogeneous flows: visiometrics for the Rayleigh–Taylor and Richtmyer–Meshkov environments. Annu. Rev. Fluid Mech. 31, 495.

S. Zhang , N. Zabusky , G. Peng & S. Gupta 2004 Shock gaseous cylinder interactions: dynamically validated initial conditions provide excellent agreement between experiments and numerical simulations to late–intermediate time. Phys. Fluids 16, 1203.

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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
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