Experiments and Simulations on the Turbulent, Rarefaction Wave Driven Rayleigh–Taylor Instability

Morgan, R.; Jacobs, J. W.

doi:10.1115/1.4048345

Cited by 8 publications

(4 citation statements)

References 37 publications

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“…Experimentally, Morgan et al (2018); Morgan, Likhachev & Jacobs (2016) generated two-(2-D) and three-dimensional (3-D) single-mode interfaces using the membraneless technique (Jones & Jacobs 1997), and studied the linear and nonlinear instability evolution in a vertical rarefaction tube. Later, 3-D multi-mode perturbations were generated by Morgan & Jacobs (2020), and turbulent mixing induced by rarefaction-driven RT instability was focused on.…”

Section: Introductionmentioning

confidence: 99%

Interfacial instabilities driven by co-directional rarefaction and shock waves

Gao,

Guo,

Zhai

et al. 2024

J. Fluid Mech.

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We report the first experiments on hydrodynamic instabilities of a single-mode light/heavy interface driven by co-directional rarefaction and shock waves. The experiments are conducted in a specially designed rarefaction-shock tube that enables the decoupling of interfacial instabilities caused by these co-directional waves. After the impacts of rarefaction and shock waves, the interface evolution transitions into Richtmyer–Meshkov unstable states from Rayleigh–Taylor (RT) stable states, which is different from the finding in the previous case with counter-directional rarefaction and shock waves. A scaling method is proposed, which effectively collapses the RT stable perturbation growths. An analytical theory for predicting the time-dependent acceleration and density induced by rarefaction waves is established. Based on the analytical theory, the model proposed by Mikaelian (Phys. Fluids, vol. 21, 2009, p. 024103) is revised to provide a good description of the dimensionless RT stable behaviour. Before the shock arrival, the unequal interface velocities, caused by rarefaction-induced uneven vorticity, result in a V-shape-like interface. The linear growth rate of the amplitude is insensitive to the pre-shock interface shape, and can be well predicted by the linear superposition of growth rates induced by rarefaction and shock waves. The nonlinear growth rate is higher than that of a pure single-mode case, which can be predicted by the nonlinear models (Sadot et al., Phys. Rev. Lett., vol. 80, 1998, pp. 1654–1657; Dimonte & Ramaprabhu, Phys. Fluids, vol. 22, 2010, p. 014104).

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Section: Introductionmentioning

confidence: 99%

Interfacial instabilities driven by co-directional rarefaction and shock waves

Gao,

Guo,

Zhai

et al. 2024

J. Fluid Mech.

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“…The early evolution of the density and vertical velocity variance spectra suggest that velocity fluctuations are the dominant mechanism driving the development of instability. Morgan et al [18] performed experiments to observe the growth of the turbulent Rayleigh-Taylor unstable mixing layer generated between air and SF 6 . They used the membraneless vertical oscillation technique to make the three-dimensional multi-mode perturbations on the diffuse interface, and the 20 experiments were performed to establish a statistical ensemble.…”

Section: Introductionmentioning

confidence: 99%

Rayleigh–Taylor instability under multi-mode perturbation: Discrete Boltzmann modeling with tracers

Li¹,

Xu²,

Zhang³

et al. 2022

Commun. Theor. Phys.

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The two-dimensional Rayleigh-Taylor Instability (RTI) under multi-mode perturbation in compressible flow is probed via the Discrete Boltzmann Modeling (DBM) with tracers. The distribution of tracers provides clear boundaries between light and heavy fluids in the position space. Besides, the position-velocity phase space offers a new perspective for understanding the flow behavior of RTI with intuitive geometrical correspondence. The effects of viscosity, acceleration, compressibility, and Atwood number on the mixing of material and momentum and the mean non-equilibrium strength at the interfaces are investigated separately based on both the mixedness defined by the tracers and the non-equilibrium strength defined by the DBM. The mixedness increases with viscosity during early stage but decreases with viscosity at the later stage. Acceleration, compressibility, and Atwood number show enhancement effects on mixing based on different mechanisms. After the system relaxes from the initial state, the mean non-equilibrium strength at the interfaces presents an initially increasing and then declining trend, which is jointly determined by the interface length and the macroscopic physical quantity gradient. We conclude that the four factors investigated all significantly affect early evolution behavior of RTI system, such as the competition between interface length and macroscopic physical quantity gradient. The results contribute to the understanding of the multi-mode RTI evolutionary mechanism and the accompanied kinetic effects.

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“…The early evolution of the density and vertical velocity variance spectra suggest that velocity fluctuations are the dominant mechanism driving the development of instability. Morgan, et al [18] performed experiments to observe the growth of the turbulent Rayleigh-Taylor unstable mixing layer generated between air and SF 6 . They used the membraneless vertical oscillation technique to make the three-dimensional multi-mode perturbations on the diffuse interface, and 20 experiments were performed to establish a statistical ensemble.…”

Section: Introductionmentioning

confidence: 99%

Rayleigh-Taylor instability under multi-mode perturbation: discrete Boltzmann modeling with tracers

Li,

Xu,

Zhang

et al. 2022

Preprint

View full text Add to dashboard Cite

The Rayleigh-Taylor Instability (RTI) under multi-mode perturbation in compressible flow is probed via the Discrete Boltzmann Modeling (DBM) with tracers. The distribution of tracers provides clear boundaries between light and heavy fluids in the position space. Besides, the position-velocity phase space offers a new perspective for understanding the flow behavior of RTI with intuitive geometrical correspondence. The effects of viscosity, acceleration, compressibility, and Atwood number on the mixing of material and momentum and the mean non-equilibrium strength at the interfaces are investigated separately based on both the mixedness defined by the tracers and the non-equilibrium strength defined by the DBM. The mixedness increases with viscosity during early stage but decreases with viscosity at the later stage. Acceleration, compressibility, and Atwood number show enhancement effects on mixing based on different mechanisms. After the system relaxes from the initial state, the mean non-equilibrium strength at the interfaces presents an initially increasing and then declining trend, which is jointly determined by the interface length and the macroscopic physical quantity gradient. We conclude that the four factors investigated all significantly affect early evolution behavior of RTI system, such as the competition between interface length and macroscopic physical quantity gradient. The results contribute to the understanding of the multi-mode RTI evolutionary mechanism and the accompanied kinetic effects.

show abstract

Experiments and Simulations on the Turbulent, Rarefaction Wave Driven Rayleigh–Taylor Instability

Cited by 8 publications

References 37 publications

Interfacial instabilities driven by co-directional rarefaction and shock waves

Interfacial instabilities driven by co-directional rarefaction and shock waves

Rayleigh–Taylor instability under multi-mode perturbation: Discrete Boltzmann modeling with tracers

Rayleigh-Taylor instability under multi-mode perturbation: discrete Boltzmann modeling with tracers

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