Nonlinear evolution of the Rayleigh–Taylor and Richtmyer–Meshkov instabilities

Dimonte, Guy

doi:10.1063/1.873491

Cited by 87 publications

(53 citation statements)

References 70 publications

(7 reference statements)

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“…The window was used to calculate a slope ( dx dh ) for the mixing region by determining a 2P nd studies (Ramaprabhu & Andrews 2004). The value of α measured at the various Atwood number runs in the Gas Channel were compared with the LEM (Linear Electric Motor) experiments of Dimonte (1996Dimonte ( , 1999. As seen in Figure 6.7, our measurements agree reasonably.…”

Section: Growth Constant (α) Measurementsupporting

confidence: 62%

“…For low values of Atwood numbers used in the present study, the value of αB b B is expected to be same for both bubbles and spikes (as the structures were symmetric). However for high Atwood numbers (≥ 0.5), the value of α would be different as the flow will be no longer symmetric but characterized by rising bubbles and falling spikes (Dimonte 1999;Dimonte & Schneider 1996). So for higher…”

Section: Measurements With Multi-position Sn-wire Techniquementioning

confidence: 99%

“…However, for high Atwood numbers (≥ 0.1), the mix is no longer symmetric about the density interface (hB s B > hB b B ). The values of α is found to be different (αB b B < αB s B ) with αB s B being a function of the Atwood number and αB b B was approximately constant (Dimonte 1999;Dimonte & Schneider 1996). Equation (1.1) for h was obtained by Youngs (1984) by using a nonlinear extension of the linear stability theory (Chandrasekhar 1961).…”

Section: Heavy Lightmentioning

confidence: 99%

“…Diagnostics used included pulsed x-ray photography. Dimonte et al (1999; studied turbulent RT growth rates over a comprehensive range of Atwood numbers (0.1304 -0.961) with constant acceleration using the Linear Electric Motor. Diagnostics involved bi-level LIF (Laser Induced Fluorescence) measurements and backlight photography.…”

Section: Index For Fluidsmentioning

confidence: 99%

“…For low Atwood numbers (< 0.1), the mix is symmetric (hB b B = hB s B ) and α was usually taken as a constant, i.e. αB b B = αB s B = α (Dimonte 1999;Ramaprabhu & Andrews 2004). However, for high Atwood numbers (≥ 0.1), the mix is no longer symmetric about the density interface (hB s B > hB b B ).…”

Section: Heavy Lightmentioning

confidence: 99%

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Statistically steady measurements of Rayleigh-Taylor mixing in a gas channel

Banerjee

Andrews

2006

Physics of Fluids

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A novel gas channel experiment was constructed to study the development of high Atwood number Rayleigh-Taylor mixing. Two gas streams, one containing air and the other containing helium-air mixture, flow parallel to each other separated by a thin splitter plate. The streams meet at the end of a splitter plate leading to the formation of an unstable interface and of buoyancy driven mixing. This buoyancy driven mixing experiment allows for long data collection times, short transients and was statistically steady. The facility was designed to be capable of large Atwood number studies of AB t B ~ 0.75. We describe work to measure the self similar evolution of mixing at density differences corresponding to 0.035 < AB t B < 0.25. Diagnostics include a constant temperature hot-wire anemometer, and high resolution digital image analysis. The hot-wire probe gives velocity, density and velocity-density statistics of the mixing layer. Two different multi-position single-wire techniques were used to measure the velocity fluctuations in three mutually perpendicular directions. Analysis of the measured data was used to explain the mixing as it develops to a self-similar regime in this flow. These measurements are to our iv knowledge, the first use of hot-wire anemometry in the Rayleigh-Taylor community.Since the measurement involved extensive calibration of the probes in a binary gas mixture of air and helium, a new convective heat transfer correlation was formulated to account for variable-density low Reynolds number flows past a heated cylinder. In addition to the hot-wire measurements, a digital image analysis procedure was used to characterize various properties of the flow and also to validate the hot-wire measurements. A test of statistical convergence was performed and the study revealed that the statistical convergence was a direct consequence of the number of different large three-dimensional structures that were averaged over the duration of the run.

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Section: Growth Constant (α) Measurementsupporting

confidence: 62%

Section: Measurements With Multi-position Sn-wire Techniquementioning

confidence: 99%

Section: Heavy Lightmentioning

confidence: 99%

Section: Index For Fluidsmentioning

confidence: 99%

Section: Heavy Lightmentioning

confidence: 99%

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Statistically steady measurements of Rayleigh-Taylor mixing in a gas channel

Banerjee

Andrews

2006

Physics of Fluids

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Turbulent Flow Computation

Drikakis¹,

Geurts²

2002

Fluid Mechanics and Its Applications

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Aims and Scope of the SeriesThe purpose of this series is to focus on subjects in which fluid mechanics plays a fundamental role.As well as the more traditional applications of aeronautics, hydraulics, heat and mass transfer etc., books will be published dealing with topics which are currently in a state of rapid development, such as turbulence, suspensions and multiphase fluids, super and hypersonic flows and numerical modelling techniques.It is a widely held view that it is the interdisciplinary subjects that will receive intense scientific attention, bringing them to the forefront of technological advancement. Fluids have the ability to transport matter and its properties as well as transmit force, therefore fluid mechanics is a subject that is particulary open to cross fertilisation with other sciences and disciplines of engineering. The subject of fluid mechanics will be highly relevant in domains such as chemical, metallurgical, biological and ecological engineering. This series is particularly open to such new multidisciplinary domains.The median level of presentation is the first year graduate student. Some texts are monographs defining the current state of a field; others are accessible to final year undergraduates; but essentially the emphasis is on readability and clarity.

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