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Research Papers: Fundamental Issues and Canonical Flows

Single-Interface Richtmyer–Meshkov Turbulent Mixing at the Los Alamos Vertical Shock Tube

[+] Author and Article Information
B. M. Wilson

P-23, Physics Division,
Los Alamos National Laboratory,
Los Alamos, NM 87545
e-mail: bwilson@lanl.gov

R. Mejia-Alvarez

P-23, Physics Division,
Los Alamos National Laboratory,
Los Alamos, NM 87545
e-mail: rimejal@lanl.gov

K. P. Prestridge

P-23, Physics Division,
Los Alamos National Laboratory,
Los Alamos, NM 87545
e-mail: kpp@lanl.gov

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received January 30, 2015; final manuscript received June 18, 2015; published online April 12, 2016. Assoc. Editor: Praveen Ramaprabhu.

J. Fluids Eng 138(7), 070901 (Apr 12, 2016) (9 pages) Paper No: FE-15-1071; doi: 10.1115/1.4032529 History: Received January 30, 2015; Revised June 18, 2015

Mach number and initial conditions effects on Richtmyer–Meshkov (RM) mixing are studied by the vertical shock tube (VST) at Los Alamos National Laboratory (LANL). At the VST, a perturbed stable light-to-heavy (air–SF6, A = 0.64) interface is impulsively accelerated with a shock wave to induce RM mixing. We investigate changes to both large and small scales of mixing caused by changing the incident Mach number (Ma = 1.3 and 1.45) and the three-dimensional (3D) perturbations on the interface. Simultaneous density (quantitative planar laser-induced fluorescence (PLIF)) and velocity (particle image velocimetry (PIV)) measurements are used to characterize preshock initial conditions and the dynamic shocked interface. Initial conditions and fluid properties are characterized before shock. Using two types of dynamic measurements, time series (N = 5 realizations at ten locations) and statistics (N = 100 realizations at a single location) of the density and velocity fields, we calculate several mixing quantities. Mix width, density-specific volume correlations, density–vorticity correlations, vorticity, enstrophy, strain, and instantaneous dissipation rate are examined at one downstream location. Results indicate that large-scale mixing, such as the mix width, is strongly dependent on Mach number, whereas small scales are strongly influenced by initial conditions. The enstrophy and strain show focused mixing activity in the spike regions.

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Figures

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Fig. 1

Representation of (a) linear growth, (b) nonlinear growth of vortex pairs (mushroom vortices), and (c) breakdown of large-scale structure to a cascade of smaller scales in RM evolution

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Fig. 2

The test section in the VST showing the gates that close off before the downward moving shock interacts with the initial conditions, the PLIF–PIV measurement locations, and the orientation of the diagnostic laser sheets

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Fig. 3

Measured and predicted x1t diagram for Ma = 1.3 and 1.45 with 12% acetone concentration in the air. Measurements are made with pressure transducers along the wall of the shock tube.

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Fig. 6

Mean density, ρ¯, and mean velocity, ui¯, of the (a) NLRM and (b) LRM initial conditions. Also, the (c) density-specific volume b and density variance ρ′ρ′¯ of the NLRM and LRM initial conditions.

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Fig. 9

Evolution of mix widths, h/h0, for two Mach numbers (Ma = 1.3 and 1.45) and two initial conditions (NLRM and LRM)

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Fig. 10

Time-series measurements of instantaneous dissipation rate, χ, fields for two Mach numbers (Ma = 1.3 and 1.45) and two initial conditions (NLRM and LRM)

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Fig. 11

Density spectra for shocked RM at x1=325 mm at Ma = 1.3 and NLRM and LRM initial conditions

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Fig. 12

Example of the instantaneous density, velocity, and vorticity field. The symmetric (strain, L1) and asymmetric (rotation, L2) tensors of the velocity gradients are also shown.

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Fig. 13

Mean density, ρ, density–vorticity correlation, ρ′ω′¯, enstrophy fluctuations, |ω′|2¯, enstrophy fluctuations, |ω′|2¯, instantaneous dissipation rate, χ¯, and density-specific volume correlation, −ρ′ν′¯ for NLRM IC at Ma = 1.3 and x1=325 mm

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Fig. 14

The Taylor microscale for the streamwise velocity, λT,u1, spanwise velocity, λT,u2, and density λT,ρ, for NLRM IC at Ma = 1.3 and x1=325 mm

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Fig. 4

Example of (a) raw fluorescence intensity image and (b) corrected Q-PLIF density measurement

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Fig. 5

Examples of the instantaneous velocity fluctuations and density fields for four realizations of NLRM and LRM initial conditions

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Fig. 8

Time-series measurements of instantaneous density fields for two Mach numbers (Ma = 1.3 and 1.45) and two initial conditions (NLRM and LRM)

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Fig. 7

Density spectra for the NRLM and LRM initial conditions

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