Turbulent mixing generated by Rayleigh-Taylor and Richtmyer-Meshkov instabilities

Mikaelian, Karnig O.

doi:10.1016/0167-2789(89)90089-4

Cited by 111 publications

(97 citation statements)

References 7 publications

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“…A Kolmogorov-Obukhov (in short, K41) scenario for velocity and temperature spectra is predicted in three dimensions while a Bolgiano-Obukhov (in short, BO59) scenario is shown to arise in two dimensions. Mikaelian (1989) derived the turbulent energy and its spectrum in the Canuto-Goldman model (Canuto & Goldman 1985) when the turbulence is generated by an instability having a power-law growth rate. This model does not predict a Kolmogorov spectrum.…”

Section: Two-point Statistical Observablesmentioning

confidence: 99%

Incompressible Rayleigh–Taylor Turbulence

Boffetta

Mazzino

2017

Annu. Rev. Fluid Mech.

145

130

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Basic fluid equations are the main ingredient to develop theories of the Rayleigh-Taylor buoyancy-induced instability. Turbulence arises in the late stage of the instability evolution as a result of the proliferation of active scales of motion. Fluctuations are maintained by the unceasing conversion of potential energy into kinetic energy. Although the dynamics of turbulent fluctuations is ruled by the same equations controlling the Rayleigh-Taylor instability, here only phenomenological theories are currently available. The main purpose of the present review is to provide an overview of the most relevant (and often contrasting) theoretical approaches to Rayleigh-Taylor turbulence together with numerical and experimental evidences for their support. Although the focus will be mainly on the classical Boussinesq Rayleigh-Taylor turbulence of miscible fluids, the review extends to other fluid systems having viscoelastic behavior, being a↵ect by rotation of the reference frame and, finally, in the presence of reactions.

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Section: Two-point Statistical Observablesmentioning

confidence: 99%

Incompressible Rayleigh–Taylor Turbulence

Boffetta

Mazzino

2017

Annu. Rev. Fluid Mech.

145

130

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“…Mikaelian [10] extended the phenomenological model of the Rayleigh-Taylor mixing layer experiments and simulations of Read [11] and Youngs [12] to the Richtmyer-Meshkov instability after reshock:…”

Section: Model Comparisonmentioning

confidence: 99%

Richtmyer–Meshkov instability on a low Atwood number interface after reshock

et al. 2012

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The Richtmyer-Meshkov instability after reshock is investigated in shock tube experiments at the Wisconsin Shock Tube Laboratory using planar laser imaging and a new high speed interface tracking technique. The interface is a 50-50% volume fraction mixture of helium and argon stratified over pure argon. This interface has an Atwood number of 0.29 and near single mode, two-dimensional, standing wave perturbation with an average amplitude of 0.35 cm and a wavelength of 19.4 cm. The incident shock wave of Mach number 1.92 accelerates the interface before it is reshocked by a reflected Mach 1.70 shock wave. The amplitude growth after reshock is reported for variations in this initial amplitude, and several amplitude growth rate models are compared to the experimental growth rate after reshock. A new growth model is introduced, based on a model of circulation deposition calculated from one-dimensional gas dynamics parameters. This model is shown to compare well with the amplitude growth rate after reshock and the circulation over a half-wavelength of the interface after the first shock wave and after reshock.4 5

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“…Mikaelian 28 used results by Read and Youngs 29 relative to an interface under constant acceleration as a departure point to derive the time evolution of the thickness of a shockaccelerated interface as ␦ϭ0.28͓v͔AЈt.…”

Section: ͑5͒mentioning

confidence: 99%

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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Turbulent mixing generated by Rayleigh-Taylor and Richtmyer-Meshkov instabilities

Cited by 111 publications

References 7 publications

Incompressible Rayleigh–Taylor Turbulence

Incompressible Rayleigh–Taylor Turbulence

Richtmyer–Meshkov instability on a low Atwood number interface after reshock

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

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