Cooling rates and energy partition in inhomogeneous fluidized granular mixtures

Brey, J. Javier; Ruiz‐Montero, M. J.

doi:10.1103/physreve.84.031302

Cited by 5 publications

(3 citation statements)

References 31 publications

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“…( 14). The solution of the resulting equation provides γ ≡ T 1,h (t)/T 2,h (t) as a function of n 1,h /n 2,h and the other parameters defining the model [10,13,15,16]. The accuracy of the results derived in this way has been checked by comparing with molecular dynamics results [17][18][19], as well as with data obtained from particle simulations of the Boltzmann equations using the DSMC method.…”

Section: The Homogeneous Cooling State Of a Dilute Granular Mix-turementioning

confidence: 99%

Shearing instability of a dilute granular mixture

Brey

Ruiz‐Montero

2013

Phys. Rev. E

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The shearing instability of a dilute granular mixture composed of smooth inelastic hard spheres or disks is investigated. By using the Navier-Stokes hydrodynamic equations, it is shown that the scaled transversal velocity mode exhibits a divergent behavior, similarly to what happens in one-component systems. The theoretical prediction for the critical size is compared with direct Monte Carlo simulations of the Boltzmann equations describing the system, and a good agreement is found. The total energy fluctuations in the vicinity of the transition are shown to scale with the second moment of the distribution. The scaling distribution function is the same as found in other equilibrium and nonequilibrium phase transitions, suggesting the existence of some kind of universality.

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Section: The Homogeneous Cooling State Of a Dilute Granular Mix-turementioning

confidence: 99%

Shearing instability of a dilute granular mixture

Brey

Ruiz‐Montero

2013

Phys. Rev. E

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“…However, when there is a large difference between the two coefficients of normal restitution a rather strong violation of energy equipartition shows up. This is a general property of granular mixtures [8,[17][18][19].…”

Section: A the Fourier Statementioning

confidence: 92%

“…When the mass m 0 of the intruder is larger that the mass m of the host gas particles, the simulation results indicate that T 0 /T grows rather fast with m 0 /m, while the theory predicts a weak decrease remaining smaller than unity. Violations of energy equipartition in homogeneous granular mixtures much stronger than predicted by the existing kinetic theory models have been reported lately [19].…”

Section: B Comparisons For γ and λmentioning

confidence: 94%

Thermal segregation of intruders in the Fourier state of a granular gas

2012

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A low density binary mixture of granular gases is considered within the Boltzmann kinetic theory. One component, the intruders, is taken to be dilute with respect to the other, and thermal segregation of the two species is described for a special solution to the Boltzmann equation. This solution has a macroscopic hydrodynamic representation with a constant temperature gradient and is referred to as the Fourier state. The thermal diffusion factor characterizing conditions for segregation is calculated without the usual restriction to Navier-Stokes hydrodynamics. Integral equations for the coefficients in this hydrodynamic description are calculated approximately within a Sonine polynomial expansion. Molecular dynamics simulations are reported, confirming the existence of this idealized Fourier state. Good agreement is found for the predicted and simulated thermal diffusion coefficient, while only qualitative agreement is found for the temperature ratio.

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Cooling of a granular gas mixture in microgravity

Puzyrev,

Trittel,

Harth

et al. 2024

npj Microgravity

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Granular gases are fascinating non-equilibrium systems with interesting features such as spontaneous clustering and non-Gaussian velocity distributions. Mixtures of different components represent a much more natural composition than monodisperse ensembles but attracted comparably little attention so far. We present the observation and characterization of a mixture of rod-like particles with different sizes and masses in a drop tower experiment. Kinetic energy decay rates during granular cooling and collision rates were determined and Haff’s law for homogeneous granular cooling was confirmed. Thereby, energy equipartition between the mixture components and between individual degrees of freedom is violated. Heavier particles keep a slightly higher average kinetic energy than lighter ones. Experimental results are supported by numerical simulations.

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Cooling rates and energy partition in inhomogeneous fluidized granular mixtures

Cited by 5 publications

References 31 publications

Shearing instability of a dilute granular mixture

Shearing instability of a dilute granular mixture

Thermal segregation of intruders in the Fourier state of a granular gas

Cooling of a granular gas mixture in microgravity

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