Observation of Single-Mode, Kelvin-Helmholtz Instability in a Supersonic Flow

Wan, Weigang; Malamud, G.; Shimony, A.; Stéfano, Carlos Di; Trantham, Matthew; Klein, Sallee; Shvarts, D.; Kuranz, Carolyn; Drake, R. P.

doi:10.1103/physrevlett.115.145001

Cited by 39 publications

(25 citation statements)

References 29 publications

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“…During its life-cycle, a small perturbation whose wavelength along the interface between two fluids is longer than the shear layer width, will experience linear and nonlinear growth stages to a saturation point followed by a post-saturation evolution, whereafter, may evolve into turbulent mixing through mass-momentum-energy transport and cascades of interacting vortices. Those studies also demonstrate that density ratio [35][36][37][38][39], viscosity [39][40][41], surface tension [38,39,42], magnetic field [43,44], and compressibility [37,43,45,46] suppress the evolution, while the velocity difference [38,47], and the density transition layer [47,48] favor the evolution. Despite these significant progresses to date, there still remains several fundamental issues that deserve special attention.…”

Section: Introductionmentioning

confidence: 86%

Nonequilibrium and morphological characterizations of Kelvin–Helmholtz instability in compressible flows

Gan

Zhang

et al. 2019

Front. Phys.

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We investigate the effects of viscosity and heat conduction on the onset and growth of Kelvin-Helmholtz instability (KHI) via an efficient discrete Boltzmann model. Technically, two effective approaches are presented to quantitatively analyze and understand the configurations and kinetic processes. One is to determine the thickness of mixing layers through tracking the distributions and evolutions of the thermodynamic nonequilibrium (TNE) measures; the other is to evaluate the growth rate of KHI from the slopes of morphological functionals. Physically, it is found that the time histories of width of mixing layer, TNE intensity, and boundary length show high correlation and attain their maxima simultaneously. The viscosity effects are twofold, stabilize the KHI, and enhance both the local and global TNE intensities. Contrary to the monotonically inhibiting effects of viscosity, the heat conduction effects firstly refrain then enhance the evolution afterwards. The physical reasons are analyzed and presented.

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Section: Introductionmentioning

confidence: 86%

Nonequilibrium and morphological characterizations of Kelvin–Helmholtz instability in compressible flows

Gan

Zhang

et al. 2019

Front. Phys.

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“…As an essential physical mechanism in turbulence and fluids mixing process, the KHI has been studied extensively with experimental [55][56][57], theoretical [40,41,58], and computational [42][43][44][45] methods during the past decades. In this section, we further utilize the DBM to simulate and investigate the compressible KHI with both hydrodynamic and thermodynamic nonequilibriun effects.…”

Section: Kelvin-helmholtz Instabilitymentioning

confidence: 99%

Discrete Boltzmann modeling of unsteady reactive flows with nonequilibrium effects

Lin

Luo

2019

Phys. Rev. E

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A multiple-relaxation-time discrete Boltzmann model (DBM) is proposed for multicomponent mixtures, where compressible, hydrodynamic, and thermodynamic nonequilibrium effects are taken into account. It allows the specific heat ratio and the Prandtl number to be adjustable, and is suitable for both low and high speed fluid flows. From the physical side, besides being consistent with the multicomponent Navier-Stokes equations, Fick's law and Stefan-Maxwell diffusion equation in the hydrodynamic limit, the DBM provides more kinetic information about the nonequilibrium effects. The physical capability of DBM to describe the nonequilibrium flows, beyond the Navier-Stokes representation, enables the study of the entropy production mechanism in complex flows, especially in multicomponent mixtures. Moreover, the current kinetic model is employed to investigate the compressible nonequilibrium Kelvin-Helmholtz instability (KHI). It is found that, in the dynamic KHI process, the mixing degree and fluid flow are similar for cases with various thermal conductivity and initial temperature configurations. Physically, both heat conduction and temperature exert slight influences on the formation and evolution of the KHI.

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“…In addition, molecular polarizabilities play a key role in vibrational spectroscopy, e.g. in the calculation of Raman [1] and sum-frequency generation [2] spectra, in the determination of van der Waals interactions in solids and liquids [3,4], and in the development of polarizable force fields.…”

Section: Introductionmentioning

confidence: 99%

Communication: Dielectric properties of condensed systems composed of fragments

Pan

Govoni

Galli

2018

The Journal of Chemical Physics

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The dielectric properties of molecules and nanostructures are usually modified in a complex manner, when assembled into a condensed phase. We propose a first-principles method to compute polarizabilities of sub-entities of solids and liquids, which accounts for multipolar interactions at all orders and is applicable to semiconductors and insulators. The method only requires the evaluation of induced fields in the condensed phase, with no need of multiple calculations for each constituent. As an example, we present results for the molecular polarizabilities of water in a wide pressure and temperature range. We found that at ambient conditions, the dipole-induced-dipole approximation is sufficiently accurate and the Clausius-Mossotti relation may be used, e.g., to obtain molecular polarizabilities from experimental refractive indexes. However with increasing pressure, this approximation becomes unreliable and in the case of ice X the Clausius-Mossotti relation is not valid.

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Observation of Single-Mode, Kelvin-Helmholtz Instability in a Supersonic Flow

Cited by 39 publications

References 29 publications

Nonequilibrium and morphological characterizations of Kelvin–Helmholtz instability in compressible flows

Nonequilibrium and morphological characterizations of Kelvin–Helmholtz instability in compressible flows

Discrete Boltzmann modeling of unsteady reactive flows with nonequilibrium effects

Communication: Dielectric properties of condensed systems composed of fragments

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