Turbulent Rayleigh-Taylor instability experiments with variable acceleration

Dimonte, Guy; Schneider, M. B.

doi:10.1103/physreve.54.3740

Cited by 159 publications

(134 citation statements)

References 29 publications

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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: 63%

“…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%

“…As seen in Figure 6.7, our measurements agree reasonably. Dimonte & Schneider (1996) 6.3 Hot-Wire Measurements…”

Section: Growth Constant (α) Measurementmentioning

confidence: 99%

“…An extensive error/uncertainty analysis for the parameters measured was provided in Appendix B. (Andrews, 1986 ;Dimonte, 1996 ;Snider and Andrews, 1994;Youngs, 1984) and also with numerical models (Dimotakis 2000;Youngs 1984). …”

Section: Preliminariesmentioning

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: 63%

Section: Measurements With Multi-position Sn-wire Techniquementioning

confidence: 99%

Section: Heavy Lightmentioning

confidence: 99%

“…As seen in Figure 6.7, our measurements agree reasonably. Dimonte & Schneider (1996) 6.3 Hot-Wire Measurements…”

Section: Growth Constant (α) Measurementmentioning

confidence: 99%

Section: Preliminariesmentioning

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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Multidimensional quantification of uncertainty and application to a turbulent mixing model

Barmparousis

Drikakis

2017

Numerical Methods in Fluids

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SUMMARYThis paper concerns the implementation of the generalized Polynomial Chaos (gPC) approach for parametric studies, including the quantification of uncertainty (UQ), of turbulence modelling. The method is applied to Richtmyer-Meshkov turbulent mixing. The K − L turbulence model has been chosen as a prototypical example and parametric studies have been performed to examine the effects of closure coefficients and initial conditions on the flow results. It is shown that the proposed method can be used to obtain a relation between the uncertain inputs and the monitored flow quantities, thus efficiently performing parametric studies. It allows the simultaneous calibration and quantification of uncertainty in an efficient numerical framework.

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References

Llor¹

2005

Statistical Hydrodynamic Models for Developed Mixing Instability Flows

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Turbulent Rayleigh-Taylor instability experiments with variable acceleration

Cited by 159 publications

References 29 publications

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

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

Multidimensional quantification of uncertainty and application to a turbulent mixing model

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