Small Atwood number Rayleigh–Taylor experiments

Andrews, Malcolm J.; Dalziel, Stuart B.

doi:10.1098/rsta.2010.0007

Cited by 54 publications

(41 citation statements)

References 36 publications

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“…In the Rocket-Rig apparatus of Read (1984) (see also Youngs (1992)) the initial stable configuration (light fluid over heavy fluid) is accelerated downwards by a small rocket motor with an acceleration larger than gravity. The evolution of the instability is limited in time (by the vertical extension of the setup) and this required the use of large Atwood numbers or immiscible fluids (Andrews & Dalziel 2010). A more recent variant of this setup, developed by Dimonte & Schneider (1996) uses a linear electric motor which allows to control the acceleration profile.…”

Section: Rayleigh-taylor Experimentsmentioning

confidence: 99%

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Incompressible Rayleigh–Taylor Turbulence

Boffetta

Mazzino

2017

Annu. Rev. Fluid Mech.

144

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: Rayleigh-taylor Experimentsmentioning

confidence: 99%

“…Thermal instabilities and shear flow instabilities are the main concern of the excellent review by Kull (1991). The review by Andrews & Dalziel (2010) reports the recent progresses in the experiments on RT mixing at low Atwood numbers.…”

Section: Introductionmentioning

confidence: 99%

Incompressible Rayleigh–Taylor Turbulence

Boffetta

Mazzino

2017

Annu. Rev. Fluid Mech.

144

130

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“…On the experimental front, these processes are a challenge to implement and systematically study in a well-controlled laboratory environment [26]. They are sensitive to details and are transient, and their dynamics impose unusually tight requirements on the accuracy and resolution of flow measurements, as well as on data acquisition rates [3,12,27,28]. Furthermore, because of their statistical unsteadiness, systematic interpretation of these processes from experimental data alone is neither easy nor straightforward [12,26].…”

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confidence: 99%

Turbulent mixing and beyond: non-equilibrium processes from atomistic to astrophysical scales

Abarzhi

Gauthier

Sreenivasan

2013

Phil. Trans. R. Soc. A.

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Turbulent mixing is a source of paradigm problems in physics, engineering and mathematics. Beyond this important interdisciplinary role, it has immense consequences for a broad range of applications in astrophysics, geophysics, climate and large-scale energy systems. In two volumes, we summarize and provide a perspective on the topic through some 20 articles focusing on turbulent mixing and beyond. The volumes are grouped, somewhat loosely, into those associated with fundamental aspects of turbulence and those specific to Rayleigh–Taylor turbulent mixing.

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“…The paradigms of turbulent mixing considered in this collection are the passive scalar mixing (Sreenivasan & Schumacher 2010) and mixing induced by hydrodynamic instabilities, including Rayleigh-Taylor (RT) and RichtmyerMeshkov (RM) (Abarzhi 2010;Aglitskiy et al 2010;Andrews & Dalziel 2010;Gauthier & Creurer 2010;Kadau et al 2010;Nishihara et al 2010). The passive scalar problem is standard, but the focus in this issue is the Lagrangian approach.…”

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confidence: 99%

“…This parameter can be associated with the non-dimensional ratio of the flux to small scales of the energy to that of helicity. Andrews & Dalziel (2010) provide an outline of instability evolution and a comprehensive survey of how RT flows can be implemented in a fluiddynamics laboratory. Owing to extreme sensitivity and the transient character of the dynamics and relatively fast transition to turbulence and mixing, the implementation and systematic study of RT flows in a laboratory environment is a formidable experimental task.…”

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confidence: 99%

Turbulent mixing and beyond

Abarzhi

Sreenivasan

2010

Phil. Trans. R. Soc. A.

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Turbulence is a supermixer. Turbulent mixing has immense consequences for physical phenomena spanning astrophysical to atomistic scales under both high-and lowenergy-density conditions. It influences thermonuclear fusion in inertial and magnetic confinement systems; governs dynamics of supernovae, accretion disks and explosions; dominates stellar convection, planetary interiors and mantle-lithosphere tectonics; affects premixed and non-premixed combustion; controls standard turbulent flows (wall-bounded and free-subsonic, supersonic as well as hypersonic); as well as atmospheric and oceanic phenomena (which themselves have important effects on climate). In most of these circumstances, the mixing phenomena are driven by non-equilibrium dynamics. While each article in this collection dwells on a specific problem, the purpose here is to seek a few unified themes amongst diverse phenomena.Keywords: turbulent mixing; passive scalars; Rayleigh-Taylor instability; Richtmyer-Meshkov instability; high-energy-density physics; holographic technologies Compared with the vast variety of physical circumstances in which turbulent mixing occurs, our knowledge of it is still limited. The problem is relatively straightforward for a simple velocity field (e.g. a constant or periodic in two dimensions), but very few rigorous results exist if the fluid mixing is threedimensional and fully turbulent. The case we do understand better, though incompletely, is the mixing of a passive scalar in isotropic and homogeneous turbulence at high Reynolds numbers, for which sound phenomenological understanding exists (e.g. Obukhov 1949;Yaglom 1949;Corrsin 1951;Batchelor 1959;Kraichnan 1968).Most realistic mixing problems in nature and technology are more complex than passive scalar mixing and involve strong gradients of pressure and density, heat release, transfer of species and changes in chemical composition. Remington et al. 2006). These phenomena are essentially anisotropic, involve non-local interactions among the many scales constituting the physical phenomena, as well as phase changes of matter, and are often driven by shocks or acceleration. In continuum approximation, their scaling laws, spectral shapes and invariant properties differ substantially from those of classical Kolmogorov (1941) turbulence. Singular aspects and similarity of their dynamics are interplayed with the fundamental properties of the Euler and Navier-Stokes equations (Ladyzhenskaya 1975;Scheffer 1976). In the kinetic limit, the non-equilibrium dynamics depart qualitatively from the standard scenario of the Gibbs ensemble and the Boltzmann weight (Hoover 1991;Evans & Morriss 2008). There is thus a strong need for advancing new theoretical methods well beyond the idealized (e.g. isotropic, homogeneous and statistically steady) domain.The state-of-the-art numerical simulations have the potential for developing predictive modelling of the multi-scale non-equilibrium mixing dynamics. With computational power doubling every 18 months or so, larger simulations involving g...

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Small Atwood number Rayleigh–Taylor experiments

Cited by 54 publications

References 36 publications

Incompressible Rayleigh–Taylor Turbulence

Incompressible Rayleigh–Taylor Turbulence

Turbulent mixing and beyond: non-equilibrium processes from atomistic to astrophysical scales

Turbulent mixing and beyond

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