Experiments on the Richtmyer–Meshkov instability: single-scale perturbations on a continuous interface

Brouillette, Martin; Sturtevant, B.

doi:10.1017/s0022112094004118

Cited by 96 publications

(72 citation statements)

References 21 publications

(20 reference statements)

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“…For example, in several experiments all carried out in the same shock tube, 3,19,20 Brouillette and Sturtevant reported growth linear in time after reshock by one or more reverberations between the shock tube end wall and the interface. The rate in most cases was somewhat smaller than predicted by Eq.…”

Section: ͑5͒mentioning

confidence: 99%

The late-time development of the Richtmyer–Meshkov instability

Prasad¹,

Rasheed²,

Kumar³

et al. 2000

Physics of Fluids

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Measurements have been made of the growth by the Richtmyer-Meshkov instability of nominally single-scale perturbations on an air/sulfur hexafluoride ͑SF 6 ) interface in a large shock tube. An approximately sinusoidal shape is given to the interface by a wire mesh which supports a polymeric membrane separating the air from the SF 6 . A single shock wave incident on the interface induces motion by the baroclinic mechanism of vorticity generation. The visual thickness ␦ of the interface is measured from schlieren photographs obtained singly in each run and in high-speed motion pictures. Data are presented for ␦ at times considerably larger than previously reported, and they are tested for self-similarity including independence of initial conditions. Four different initial amplitude/wavelength combinations at one incident shock strength are used to determine the scaling of the data. It is found that the growth rate decreases rapidly with time, d␦/dtϰt Ϫp ͑i.e., ␦ ϰt 1Ϫp ), where 0.67ՇpՇ0.74 and that a small dependence on the initial wavelength 0 persists to large time. The larger value of the power law exponent agrees with the result of the late-time-decay similarity law of Huang and Leonard ͓Phys. Fluids 6, 3765-3775 ͑1994͔͒. The influence of the wire mesh and membrane on the mixing process is assessed.

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Section: ͑5͒mentioning

confidence: 99%

The late-time development of the Richtmyer–Meshkov instability

Prasad¹,

Rasheed²,

Kumar³

et al. 2000

Physics of Fluids

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“…Brouillette 13 reported reasonable agreement between his model and his experiments after the interaction of the interface with the first reflected shock and expansion, even into a regime when the small amplitude approximation is no longer satisfied.…”

Section: ͑2͒mentioning

confidence: 76%

“…For an interface of finite thickness interacting with a series of incident and reflected shocks and expansions, Brouillette 13 proposed to linearly superpose the effects of each shock wave, taking for the initial condition of one shock the Atwood number, amplitude, and thickness generated by all previous interactions, so that, after Nϩ1 interactions, the amplitude is governed in time by…”

Section: ͑2͒mentioning

confidence: 99%

“…[12][13][14] High-speed schlieren cinematography was used to examine the effects of density ratio, incident shock strength, and initial thickness on the evolution of the interface. The most important results were ͑i͒ the observation of a theoretically predicted reduction of the amplitude growth rate at interfaces of finite thickness; ͑ii͒ the measurement of a thickness growth rate of discontinuous interfaces almost an order of magnitude smaller than what had been previously reported; 15 and ͑iii͒ the observation of wall vortices, generated by the interaction of the reflected shock with the boundary layers produced by the incident shock, whose presence partially obstructed the view of the interface.…”

Section: Introductionmentioning

confidence: 99%

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X-ray measurements of growth rates at a gas interface accelerated by shock waves

Bonazza

Sturtevant

1996

Physics of Fluids

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A new experimental technique to measure the density of a high atomic number gas at a shock-accelerated interface has been developed and demonstrated. It is based on the absorption of x rays by the high atomic number gas, and it was implemented in a vertical square shock tube. The object of the study was the turbulent entrainment and mixing of shock-accelerated air/xenon interfaces prepared by retracting a metal plate, initially separating the two gases, prior to the release of the shock wave. Interfaces of two types, quasi-sinusoidal and nominally flat, were examined. The amplitude of large wavelength ͑25-100 mm͒ perturbations on the interface, and the thickness of the interface were measured. An integral definition for the interface mean line was adopted, making it possible to study and time evolution of the individual Fourier modes of the perturbations. A new integral definition for the interface thickness was proposed, making it feasible to study for the first time the time evolution of the thickness of quasi-sinusoidal interfaces. Images of interfaces after interacting with a series of weak waves reverberating between the interface and the shock tube end wall were obtained. The perturbations are studied at the late stages of their evolution, when their amplitude is no longer small compared to their wavelength. Consequently, the measured growth rates of the modal amplitudes are smaller than those predicted by the impulsive model based on the small amplitude approximation. In the case of nominally flat interfaces, the thickness is observed to grow linearly at rates comparable to values previously reported.

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“…This showed that the interface amplitude decayed, with shorter wavelengths decaying exponentially quicker. Brouilette & Sturtevant (1991) accounted for diffusion effects in RMI mixing semi-analytically with an ansatz form of the classic RMI mix width growth rate, containing an additional growth rate reduction factor [9]. The growth rate reduction factor was derived to and was shown experimentally to have a δ λ scaling, again indicating that damping highly affects small wavelengths.…”

Section: Diffusionmentioning

confidence: 99%

Shock-driven mixing: Experimental design and initial conditions

Friedman

Prestridge

Mejía-Álvarez

et al. 2012

AIP Conference Proceedings

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Experimental validation of a Richtmyer-Meshkov scaling law over large density ratio and shock strength ranges Physics of Fluids 21, 126102 (2009) Abstract. A new Vertical Shock Tube (VST) has been designed to study shock-induced mixing due to the Richtmyer-Meshkov Instability (RMI) developing on a 3-D multi-mode interface between two gases. These studies characterize how interface contours, gas density difference, and Mach No. affect the ensuing mixing by using simultaneous measurements of velocity/density fields. The VST allows for the formation of a single stably-stratified interface, removing complexities of the dual interface used in prior RMI work. The VST also features a new diaphragmless driver, making feasible larger ensembles of data by reducing intra-shot time, and a larger viewing window allowing new observations of late-time mixing. The initial condition (IC) is formed by a co-flow system, chosen to minimize diffusion at the gas interface. To ensure statistically stationary ICs, a contoured nozzle has been manufactured to form repeatable co-flowing jets that are manipulated by a flapping splitter plate to generate perturbations that span the VST. This talk focuses on the design of the IC flow system and shows initial results characterizing the interface.

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Experiments on the Richtmyer–Meshkov instability: single-scale perturbations on a continuous interface

Cited by 96 publications

References 21 publications

The late-time development of the Richtmyer–Meshkov instability

The late-time development of the Richtmyer–Meshkov instability

X-ray measurements of growth rates at a gas interface accelerated by shock waves

Shock-driven mixing: Experimental design and initial conditions

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