Experiments on the Richtmyer–Meshkov instability with an imposed, random initial perturbation

Jacobs, J. W.; Krivets, V. V.; Tsiklashvili, Vladimer; Likhachëv, O. A.

doi:10.1007/s00193-013-0436-9

Cited by 55 publications

(99 citation statements)

References 13 publications

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“…Experiments were conducted in a vertical shock tube that is 5.2 m long and has a 89x89mm 2 square cross-section [4]. An interface is formed in the test section of the shock tube using opposed gas flows where the heavy gas (SF 6 ) flows upward in the shock tube and collides with the light gas (air) flowing downward.…”

Section: Methodsmentioning

confidence: 99%

Turbulent mixing induced by Richtmyer-Meshkov instability

Krivets

Ferguson

Jacobs

2017

AIP Conference Proceedings

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Section: Methodsmentioning

confidence: 99%

Turbulent mixing induced by Richtmyer-Meshkov instability

Krivets

Ferguson

Jacobs

2017

AIP Conference Proceedings

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“…Leinov et al found (3) to be in good agreement with three different types of reshock experiments once the more modern, increased value of α s was used. More recently published experiments by Jacobs et al [28] find a somewhat smaller value than Leinov et al [26] and will be discussed below.…”

mentioning

confidence: 56%

“…[27] we assumed a specific h 0 (0.64 mm) to represent the initial membrane that was used in all those experiments. Jacobs et al [28] do not use a membrane and have a variety of initial conditions. This is a severe test of the model and is presented in this paper: Can the model fit experiments from beginning (pre-shock) to end (post-reshock)?…”

mentioning

confidence: 99%

Testing an analytic model for Richtmyer–Meshkov turbulent mixing widths

Mikaelian

2014

Shock Waves

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We discuss a model for the evolution of the turbulent mixing width h(t) after a shock or a reshock passes through the interface between two fluids of densities ρ A and ρ B inducing a velocity jump V . In this model, the initial growth rate is independent of the surface finish or initial mixing width h 0 , but its duration t * is directly proportional to it:, α and θ are dimensionless, A-dependent parameters measured in past Rayleigh-Taylor experiments, and β is a new dimensionless parameter we introduce via t * = (h 0 / V )β. The mixing width h and its derivativeḣ remain continuous at t = t * since h * = h 0 + 2α A V t * andḣ * = 2α A V . We evaluate β ∼ 6 at A ≈ 0.7 from air/SF 6 experiments and propose that the transition at t = t * signals isotropication of turbulence. We apply this model to the recent experiments of Jacobs et al. (Shock Waves 23:407-413, 2013) on shock and reshock, and discuss briefly the third wave causing an unstable acceleration of the interface. We also consider the experiments of Weber et al. (Phys Fluids 24:074105, 2012) and argue that their smaller growth rates reflect density gradient stabilization.

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“…[35][36][37][38] It follows that, just like the RT case, the B.A. is not a good one for the spike but is excellent for the bubble.…”

Section: Turbulent Stagementioning

confidence: 97%

“…[35][36][37][38] Practically, all RM experiments use air/SF 6 at M s ≈ 1.1 − 1.6. We chose M s = 1.24.…”

Section: B Nonlinear Regime: Numericalmentioning

confidence: 99%

Boussinesq approximation for Rayleigh-Taylor and Richtmyer-Meshkov instabilities

Mikaelian

2014

Physics of Fluids

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We apply numerical and analytic techniques to study the Boussinesq approximation in Rayleigh-Taylor and Richtmyer-Meshkov instabilities. In this approximation, one sets the Atwood number A equal to zero except where it multiplies the acceleration g or velocity-jump v. While this approximation is generally applied to low-A systems, we show that it can be applied to high-A systems also in certain regimes and to the "bubble" part of the instability, i.e., the penetration depth of the lighter fluid into the heavier fluid. It cannot be applied to the spike. We extend the Boussinesq approximation for incompressible fluids and show that it always overestimates the penetration depth but the error is never more than about 41%. The effect of compressibility is studied by analytic techniques in the linear regime which indicate that compressibility has the opposite effect and the Boussinesq approximation underestimates bubbles by about 14%. We also present direct numerical simulations of two compressible systems which have approximately the same A v: a low-A air/CO 2 system shocked at M s = 1.57, and a high-A air/SF 6 system shocked at M s = 1.24. While the bubbles are approximately equal, the lower-A system has a shorter (less penetrating) spike; however, because its mushrooms are more tightly wound, the low-A system has the larger interface area. C 2014 Author(s)

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Experiments on the Richtmyer–Meshkov instability with an imposed, random initial perturbation

Cited by 55 publications

References 13 publications

Turbulent mixing induced by Richtmyer-Meshkov instability

Turbulent mixing induced by Richtmyer-Meshkov instability

Testing an analytic model for Richtmyer–Meshkov turbulent mixing widths

Boussinesq approximation for Rayleigh-Taylor and Richtmyer-Meshkov instabilities

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