Studying Hydrodynamic Instability Using Shock-Tube Experiments

Sadot, O.; Levy, K.; Yosef-Hai, Arnon; Cartoon, D.; Elbaz, D.; Srebro, Y.; Ben‐Dor, G.; Shvarts, D.

doi:10.1007/1-4020-4162-4_44

Cited by 3 publications

(2 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…2,[30][31][32][33][34][35][36][37] Many models, providing a comprehensive description of the evolution of a single-mode RM instability for the single-shock case exist in the open literature. The most updated study was presented in Dimonte et al, 28 along with a detailed review of existing models, and this case is well understood.…”

Section: Introductionmentioning

confidence: 99%

Reshocked Richtmyer-Meshkov instability: Numerical study and modeling of random multi-mode experiments

et al. 2014

Self Cite

View full text Add to dashboard Cite

The evolution of the three-dimensional planar Richtmyer-Meshkov (RM) instability during a two shock wave interaction (i.e., reshock) is investigated by means of comparing numerical simulations and analytical modelling with experimental results of low Mach numbers (M < 1.5) and fairly high Atwood numbers (A ∼ 0.7). The study discusses and analyses the differences in the evolution of the mixing zone for two different types of initial perturbations, namely, multi-mode random initial perturbation with a narrow or wide bubble size distribution. More specifically, the study is focused on the agreement between numerical simulations and experiments performed with an unknown random initial perturbation. Using a large set of experimental results with different reshock arrival times and Mach numbers, the numerical simulations results are compared to the experimental results for a variety of different scenarios. This methodology allows a constrained comparison, while requiring good agreement for all cases. A comprehensive parametric study is conducted, examining the evolution of the mixing zone (MZ) for different initial amplitudes and wavelengths. It is found that in order to achieve a good agreement, the numerical simulation must be performed using a wide enough initial spectrum, which enables a dominant, efficient bubble merging process to take place within the MZ. The numerical simulation results are compared to a model, based on classic single bubble RM evolution formulation, combined with high amplitude effects consideration and phase reversal treatment in case of heavy to light reshock passage. The model is also extended for the case of multi-mode fronts, accounting for a bubble merging process, determining that the MZ evolution after the reshock can be classified with high confidence as governed by an inverse cascade bubble merger, approaching self-similarity.

show abstract

Section: Introductionmentioning

confidence: 99%

Reshocked Richtmyer-Meshkov instability: Numerical study and modeling of random multi-mode experiments

et al. 2014

Self Cite

View full text Add to dashboard Cite

show abstract

“…Convergent shock tubes [42], annular shock tubes [43] and shocked gas bubbles [44,45] have shown some trends in overall mixing width development, including possible suppression of the growth of shocked gas bubbles owing to the outer soap film containment [46]. Increased growth of the mixing zone was found in the convergent tube studies.…”

Section: Three-dimensional Effectsmentioning

confidence: 92%

Experiments of the Richtmyer–Meshkov instability

Prestridge

Orlicz

Balasubramanian

et al. 2013

Phil. Trans. R. Soc. A.

View full text Add to dashboard Cite

The Richtmyer–Meshkov instability is caused by a shock interacting with a density-stratified interface. The mixing of the fluids is driven by vorticity created by the interaction of the density and pressure gradients. Because the flow is shock driven, the ensuing mixing occurs rapidly, making experimental measurements difficult. Over the past 10 years, there have been significant improvements in the experimental techniques used in shock-driven mixing flows. Many of these improvements have been driven by modelling and simulation efforts, and others have been driven by technology. High-resolution measurements of turbulence quantities are needed to advance our understanding of shock-driven flows, and this paper reviews the current state of experimental diagnostics, as well as paths forward in studying shock-driven mixing and turbulence.

show abstract