Hydrodynamic character of the nonequipartition of kinetic energy in binary granular gases

Brey, J. Javier; Ruiz‐Montero, M. J.

doi:10.1103/physreve.80.041306

Cited by 9 publications

(7 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This condition determines all the temperatures of the components in terms of a unique temperature parameter. Actually, a similar result holds in vibrated granular systems, in the sense that only a temperature is needed for a macroscopic description of mixtures of granular gases [26]. Here, the result is extended to spatially separated granular gases interacting through a movable piston.…”

Section: Discussionmentioning

confidence: 58%

Critical behavior of two freely evolving granular gases separated by an adiabatic piston

Brey

Khalil

2010

Phys. Rev. E

Self Cite

View full text Add to dashboard Cite

Two granular gases separated by an adiabatic piston and initially in the same macroscopic state are considered. It is found that a phase transition with an spontaneous symmetry breaking occurs. When the mass of the piston is increased beyond a critical value, the piston moves to a stationary position different from the middle of the system. The transition is accurately described by a simple kinetic model that takes into account the velocity fluctuations of the piston. Interestingly, the final state is not characterized by the equality of the temperatures of the subsystems but by the cooling rates being the same. Some relevant consequences of this feature are discussed.

show abstract

Section: Discussionmentioning

confidence: 58%

Critical behavior of two freely evolving granular gases separated by an adiabatic piston

Brey

Khalil

2010

Phys. Rev. E

Self Cite

View full text Add to dashboard Cite

show abstract

“…[16]. Here, let us mention that the accuracy of using the reduced set has been confirmed by molecular dynamics simulations both in the homogeneous case [3,17] and also in inhomogeneous vibrated mixtures [18].…”

Section: Boltzmann-enskog Equation and Chapman-enskog Solutionmentioning

confidence: 63%

Cooling rates and energy partition in inhomogeneous fluidized granular mixtures

Brey

Ruiz‐Montero

2011

Phys. Rev. E

Self Cite

View full text Add to dashboard Cite

The local cooling rates of the components of a vibrated binary granular mixture in a steady state are investigated. The accuracy of the expression obtained by assuming a local homogeneous cooling state distribution of the gas is analyzed by comparing it with molecular dynamics simulation results. A good agreement is observed. Also, the profiles of the partial temperatures are compared with the theoretical prediction following from the application of the Chapman-Enskog method to solve the kinetic Enskog equations of the mixture. In this case, the agreement is satisfactory if the boundary layers near the walls are excluded. The implications of the results are discussed.

show abstract

“…The dense gas kinetic theory of Chapman [20] has been employed to quantify rapid flow of granular mixture systems for decades [21,22,23,6], in which granular mixtures are assumed to be smooth, nearly elastic and spherical grains.…”

Section: Introductionmentioning

confidence: 99%

Kinetic theory of binary particles with unequal mean velocities and non-equipartition energies

Chen

Mei

Wang

2017

Physica A: Statistical Mechanics and its Applications

View full text Add to dashboard Cite

The hydrodynamic conservation equations and constitutive relations for a binary granular mixture composed of smooth, nearly elastic spheres with nonequipartition energies and different mean velocities are derived. This research is aimed to build three-dimensional kinetic theory to characterize the behaviors of two species of particles suffering different forces. The standard Enskog method is employed assuming a Maxwell velocity distribution for each species of particles. The collision components of the stress tensor and the other parameters are calculated from the zeroth-and first-order approximation. Our results demonstrate that three factors, namely the differences between two granular masses, temperatures and mean velocities all play important roles in the stressstrain relation of the binary mixture, indicating that the assumption of energy equipartition and the same mean velocity may not be acceptable. The collision frequency and the solid viscosity increase monotonously with each granular temperature. The zeroth-order approximation to the energy dissipation varies greatly with the mean velocities of both species of spheres, reaching its peak value at the maximum of their relative velocity.

show abstract

Hydrodynamic character of the nonequipartition of kinetic energy in binary granular gases

Cited by 9 publications

References 21 publications

Critical behavior of two freely evolving granular gases separated by an adiabatic piston

Critical behavior of two freely evolving granular gases separated by an adiabatic piston

Cooling rates and energy partition in inhomogeneous fluidized granular mixtures

Kinetic theory of binary particles with unequal mean velocities and non-equipartition energies

Contact Info

Product

Resources

About