Rayleigh–Taylor and Richtmyer–Meshkov instability induced flow, turbulence, and mixing. I

Zhou, Ye

doi:10.1016/j.physrep.2017.07.005

Cited by 484 publications

(296 citation statements)

References 1,071 publications

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“…Within 0.5 µs the rim accelerates from 0 to a velocity of about 4.0 m/s. Now we argue that this extreme acceleration of the rim from the liquid into the gas phase destabilizes the rim due to the Rayleigh-Taylor instability 16,17 . The most amplified wavelength is √ 3λ c with λ c = σ /(Gρ H ), see Ref.…”

mentioning

confidence: 81%

Merging of soap bubbles and why surfactant matters

Pfeiffer

Zeng

Tan

et al. 2020

Applied Physics Letters

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The merging of two soap bubbles is a fundamental fluid mechanical process in foam formation. In the present experimental study the liquid films from two soap bubbles are brought together. Once the liquid layers initially separated by a gas sheet are bridged on a single spot the rapid merging of the two liquid films proceed. Thereby the connecting rim is rapidly accelerated into the separating gas layer. We show that due to the dimple formation the velocity is not uniform and the high acceleration causes initially a Rayleigh-Taylor instability of the liquid rim. At later times, the rim takes heals into a circular shape. However for sufficient high concentrations of the surfactant the unstable rim pinches off microbubbles resulting in a fractal dendritic structure after coalescence.

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mentioning

confidence: 81%

Merging of soap bubbles and why surfactant matters

Pfeiffer

Zeng

Tan

et al. 2020

Applied Physics Letters

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“…The second component of the transfer term can be expressed further by substituting ∂ t q so i with its value given by Eq. (21). One finds that T (k, t, s)δ k − k is the real part of:…”

Section: A Evolution Of the Fluctuating Fieldmentioning

confidence: 99%

“…Its absence in Eq. (21) suggests that these long-range pressure-generated correlations will only indirectly affect the evolution of q so .…”

Section: A Evolution Of the Fluctuating Fieldmentioning

confidence: 99%

Permanence of large eddies in Richtmyer-Meshkov turbulence with a small Atwood number

et al. 2018

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In this work, we study the large-scale structure of homogeneous flows displaying high density contrasts and small turbulent Mach numbers. Following Batchelor & Proudman [1], we draw an analogy between this configuration and that of a single isolated eddy displaying density non-uniformities. By doing so, we are able to highlight the crucial role played by the solenoidal component of the momentum in the preservation of initial conditions. In particular, we show that the large-scale initial conditions of the spectrum of the solenoidal momentum are preserved provided its infrared exponent is smaller than 4. This condition is reminiscent of the one usually derived in constant density flow, except that it does not apply to the velocity spectrum. The latter is actually shown to be impermanent for infrared exponents larger or equal to 2. The consequences of these properties on the self-similar decay of the flow are discussed. Finally, these predictions are verified by performing large eddy simulations of homogeneous isotropic turbulence.

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“…However, as the perturbation amplitudes become large with respect to the wavelength, the layer growth enters the nonlinear regime, whereby numerical simulation is required to calculate the subsequent evolution. For a comprehensive and up-to-date review of the literature on RMI, the reader is referred to Zhou [3,4].…”

Section: Introductionmentioning

confidence: 99%

The influence of initial perturbation power spectra on the growth of a turbulent mixing layer induced by Richtmyer–Meshkov instability

Groom

Thornber

2020

Physica D: Nonlinear Phenomena

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This paper investigates the influence of different broadband perturbations on the evolution of a Richtmyer-Meshkov turbulent mixing layer initiated by a Mach 1.84 shock traversing a perturbed interface separating gases with a density ratio of 3:1. Both the bandwidth of modes in the interface perturbation, as well as their relative amplitudes, are varied in a series of carefully designed numerical simulations at grid resolutions up to 3.2×10 9 cells. Three different perturbations are considered, characterised by a power spectrum of the form P (k) ∝ k m where m = −1, −2 and −3. The growth of the mixing layer is shown to strongly depend on the initial conditions, with the growth rate exponent θ found to be 0.5, 0.63 and 0.75 for each value of m at the highest grid resolution. The asymptotic values of the molecular mixing fraction Θ are also shown to vary significantly with m; at the latest time considered Θ is 0.56, 0.39 and 0.20 respectively. Turbulent kinetic energy (TKE) is also analysed in both the temporal and spectral domains. The temporal decay rate of TKE is found not to match the predicted value of n = 2 − 3θ, which is shown to be due to a time-varying normalised dissipation rate C . In spectral space, the data follow the theoretical scaling of k (m+2)/2 at low wavenumbers and tend towards k −3/2 and k −5/3 scalings at high wavenumbers for the spectra of transverse and normal velocity components respectively. The results represent a significant extension of previous work on the Richtmyer-Meshkov instability evolving from broadband initial perturbations and provide useful benchmarks for future research.

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Rayleigh–Taylor and Richtmyer–Meshkov instability induced flow, turbulence, and mixing. I

Cited by 484 publications

References 1,071 publications

Merging of soap bubbles and why surfactant matters

Merging of soap bubbles and why surfactant matters

Permanence of large eddies in Richtmyer-Meshkov turbulence with a small Atwood number

The influence of initial perturbation power spectra on the growth of a turbulent mixing layer induced by Richtmyer–Meshkov instability

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