Resonance‐induced acceleration of the<scp>RBNE‐BNE</scp>segregation inversion

Shao, Yufei; Li, Anghao; Wang, Zaizheng; Sun, Min; Huang, Decai

doi:10.1002/aic.18101

Cited by 2 publications

(1 citation statement)

References 58 publications

(127 reference statements)

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“…Granular matter is an assembly of discrete grains exhibiting prominent nonlinear phenomena, such as dilute−dense granular flow, [1][2][3] segregation of binary mixtures. [4][5][6] Nonlinear wave propagation has attracted the attention of physicists and engineers because of its technological applications, such as shock damper and mechanical logic elements. [7][8][9][10][11][12][13] A thorough understanding of nonlinear wave propagation dynamics in the ordered granular chain(GC) is often considered as the groundwork.…”

Section: Introductionmentioning

confidence: 99%

Asymmetric scattering effect of solitary wave in a two-section composite granular chain

Liu,

Jiao,

Zhang

et al. 2024

Nonlinear Dyn

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This study presents numerical simulations on the asymmetric scattering effect of solitary waves in a two−section composite granular chain. On the basis of Nesterenko's work on solitary waves in monodisperse granular chains and continuous acoustic wave theory in linear medium, we argue that the mismatches of acoustic velocity and acoustic impedance, because of the differences of mass density and elastic coefficient, dominate the asymmetric scattering effect at the mismatched interface. The simulation results confirm the occurrence of a multipusle structure for the transmitted solitary waves when the solitary wave passes through the mismatched interface with a small−large wave velocity. The overshooting effect occurs for the reflected solitary waves because of the mismatched interface with high−low acoustic impedance. The phase diagram in the space of the mass density and the elastic coefficient ratio of the right−section granular chain to the left−section granular chain further validates the predictions. The results are crucial for the fundamental understanding of the dynamic behavior of solitary waves in granular chains.

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Section: Introductionmentioning

confidence: 99%

Asymmetric scattering effect of solitary wave in a two-section composite granular chain

Liu,

Jiao,

Zhang

et al. 2024

Nonlinear Dyn

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Tracer diffusion coefficients in a moderately dense granular suspension: Stability analysis and thermal diffusion segregation

González

Garzó

2023

Physics of Fluids

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The diffusion transport coefficients of a binary granular suspension where one of the components is present in tracer concentration are determined from the (inelastic) Enskog kinetic equation. The effect of the interstitial gas on the solid particles is accounted for in the kinetic equation through two different terms: (i) a viscous drag force proportional to the particle velocity and (ii) stochastic Langevin-like term defined in terms of the background temperature. The transport coefficients are obtained as the solutions of a set of coupled linear integral equations recently derived for binary granular suspensions with arbitrary concentration [Gómez González et al., “Enskog kinetic theory for multicomponent granular suspensions,” Phys. Rev. E 101, 012904 (2020)]. To achieve analytical expressions for the diffusion coefficients, which can be sufficiently accurate for highly inelastic collisions and/or disparate values of the mass and diameter rations, the above integral equations are approximately solved by considering the so-called second Sonine approximation (two terms in the Sonine polynomial expansion of the distribution function). The theoretical results for the tracer diffusion coefficient D0 (coefficient connecting the mass flux with the gradient of density of tracer particles) are compared with those obtained by numerically solving the Enskog equation by means of the direct simulation Monte Carlo method. Although the first-Sonine approximation to D0 yields, in general, a good agreement with simulation results, we show that the second-Sonine approximation leads to an improvement over the first-Sonine correction, especially when the tracer particles are much lighter than the granular gas. The expressions derived here for the diffusion coefficients are also used for two different applications. First, the stability of the homogeneous steady state is discussed. Second, segregation induced by a thermal gradient is studied. As expected, the results show that the corresponding phase diagrams for segregation clearly differ from those found in previous works when the effect of gas phase on grains is neglected.

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Resonance‐induced acceleration of theRBNE‐BNEsegregation inversion

Cited by 2 publications

References 58 publications

Asymmetric scattering effect of solitary wave in a two-section composite granular chain

Asymmetric scattering effect of solitary wave in a two-section composite granular chain

Tracer diffusion coefficients in a moderately dense granular suspension: Stability analysis and thermal diffusion segregation

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