Experimental observations of the mixing transition in a shock-accelerated gas curtain

Richtmyer–Meshkov instability of a thin curtain of heavy gas (SF6) embedded in air and accelerated by a planar shock wave (Mach 1.2) leads to the growth of interfacial perturbations in the curtain and to mixing. Our experiments produce a phenomenological description of the mixing transition and incipient turbulence during the first millisecond after the shock interaction. Growth of scales both larger and smaller than that of initial perturbations is visually observed and quantified by applying a wavelet transform to laser-sheet images of the evolving gas curtain. Histogram and wavelet analyses show an abrupt mixing transition for a multimode initial perturbation that is not apparent for single-mode perturbations.

[1]  R. Breidenthal A chemically reacting, turbulent shear layer , 1979 .

[2]  E. Meshkov Instability of the interface of two gases accelerated by a shock wave , 1969 .

[3]  A. Burrows,et al.  On the nature of core-collapse supernova explosions , 1995, astro-ph/9506061.

[4]  John Lindl,et al.  Progress toward Ignition and Burn Propagation in Inertial Confinement Fusion , 1992 .

[5]  Klein,et al.  Instability growth patterns of a shock-accelerated thin fluid layer. , 1993, Physical review letters.

[6]  Zabusky,et al.  Vortex paradigm for shock-accelerated density-stratified interfaces. , 1989, Physical review letters.

[7]  B. Sturtevant,et al.  X‐ray measurements of growth rates at a gas interface accelerated by shock waves , 1996 .

[8]  Peter Vorobieff,et al.  Evolution of a shock-accelerated thin fluid layer , 1997 .

[9]  Robert F. Benjamin,et al.  Simulation of shock-generated instabilities , 1996 .

[10]  R. Kraichnan On Kolmogorov's inertial-range theories , 1974, Journal of Fluid Mechanics.

[11]  M. Farge Wavelet Transforms and their Applications to Turbulence , 1992 .

[12]  Robert F. Benjamin,et al.  Nonlinear growth of the shock-accelerated instability of a thin fluid layer , 1995, Journal of Fluid Mechanics.

[13]  B. Sturtevant,et al.  Growth induced by multiple shock waves normally incident on plane gaseous interfaces , 1989 .

[14]  Robert F. Benjamin,et al.  Influence of initial conditions on the flow patterns of a shock‐accelerated thin fluid layer , 1994 .

[15]  M. A. Jones,et al.  A membraneless experiment for the study of Richtmyer–Meshkov instability of a shock-accelerated gas interface , 1997 .

[16]  Luis P. Bernal,et al.  Streamwise vortex structure in plane mixing layers , 1986, Journal of Fluid Mechanics.

[17]  Lawrence Sirovich,et al.  Wavelet analysis of the turbulent jet , 1990 .

[18]  Paul M. Rightley,et al.  High-speed flow visualization of fluid instabilities , 1997, Other Conferences.

[19]  J. Lasheras,et al.  On the origin and evolution of streamwise vortical structures in a plane, free shear layer , 1986, Journal of Fluid Mechanics.

[20]  P. Flament,et al.  Cautionary remarks on the spectral interpretation of turbulent flows , 1985 .

[21]  Marcel Lesieur,et al.  Turbulence in fluids , 1990 .

[22]  J. Ottino Mixing, chaotic advection, and turbulence , 1990 .

[23]  F. R. Hama,et al.  Streaklines in a Perturbed Shear Flow , 1962 .

[24]  B. Sturtevant,et al.  Experiments on the Richtmyer–Meshkov instability: Small-scale perturbations on a plane interface , 1993 .

[25]  J. N. Fritz,et al.  Shock loading a rippled interface between liquids of different densities , 1987 .