Kinetic theory for dilute cohesive granular gases with a square well potential

Takada, Satoshi; Saitoh, Kuniyasu; Hayakawa, Hisao

doi:10.1103/physreve.94.012906

Cited by 20 publications

(18 citation statements)

References 76 publications

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“…While the original kinetic theory was developed for frictionless monodisperse particles (Jenkins & Savage 1983;Lun et al 1984), it has been extended to include multiple particle species (Jenkins & Mancini 1989), inter-particle cohesion (Takada et al 2016), and particle friction (Lun & Savage 1987;Yang et al 2016a,b). Kinetic theory has also been applied to heat transfer problems (Hsiau & Hunt 1993;Boateng & Barr 1996;Hunt 1997).…”

Section: Introductionmentioning

confidence: 99%

Eulerian modelling of gas–solid flows with triboelectric charging

Kolehmainen

Özel²,

Sundaresan

2018

J. Fluid Mech.

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Particles subjected to flow are known to acquire electrostatic charges through repeated contacts with each other and with other surfaces. These charges alter gas-particle flow behavior at different scales. In this work, we present a continuum framework for analyzing the interplay between tribocharging and flow of monodisperse assembly of particles characterized by a single effective work function. Specifically, we have derived the continuum, kinetic theory transport equations for gas-particle flow and local-averaged charge on particles directly from the Boltzmann equation. We also derive the auxiliary conditions to capture tribocharging at bounding conducting walls. The resulting two-fluid model with tribocharging and boundary condition has then been validated against results from discrete element simulations that have been specially designed to probe specific terms in the models.

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Section: Introductionmentioning

confidence: 99%

Eulerian modelling of gas–solid flows with triboelectric charging

Kolehmainen

Özel²,

Sundaresan

2018

J. Fluid Mech.

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“…Obviously, the shear viscosity in a system operating in the homogeneous cooling state is different from the shear viscosity in a uniformly sheared phase (Santos, Garzó & Dufty 2004; Takada et al. 2016; Takada & Hayakawa 2018). Consequently, we must not determine numerically the value of shear viscosity in the traditional way.…”

Section: Numerical Confirmation Of the Resultsmentioning

confidence: 99%

“…Next, we consider the shear viscosity, , as a function of granular temperature, using the technique introduced in Takada, Saitoh & Hayakawa (2016). Then, the shear viscosity is given by the solution of the differential equation Here, we define a new variable is the shear viscosity of the elastic hard-sphere gas.…”

Section: Kinetic Theory and Transport Coefficientsmentioning

confidence: 99%

Transport coefficients for granular gases of electrically charged particles

2022

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We consider a dilute gas of electrically charged granular particles in the homogeneous cooling state. We derive the energy dissipation rate and the transport coefficients from the inelastic Boltzmann equation. We find that the deviation of the velocity distribution function from the Maxwellian yields overshoots of the transport coefficients, and especially, the negative peak of the Dufour-like coefficient, $\mu$ , in the intermediate granular temperature regime. We perform the linear stability analysis and investigate the granular temperature dependence of each mode, where the instability mode is found to change against the granular temperature. The molecular dynamics simulations are also performed to compare the result with that from the kinetic theory.

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“…Here, n is the number density of the system. For further calculation, let us introduce the fourth moment of the collision integral µ 4 [13]:…”

Section: Kinetic Theorymentioning

confidence: 99%

Homogeneous cooling and heating states of dilute soft-core gases under nonlinear drag

Takada

2021

EPJ Web Conf.

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The temperature evolution of dilute soft inertial gas-solid suspensions is theoretically analyzed when the gas particles are influenced by a nonlinear drag force from a background fluid. The kinetic theory is extended to this system, and the time evolutions of the temperature and the kurtosis of the velocity distribution are derived. Molecular dynamics simulations are also performed to check the validity of the theory, and they show good agreement with the theoretical predictions.

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Kinetic theory for dilute cohesive granular gases with a square well potential

Cited by 20 publications

References 76 publications

Eulerian modelling of gas–solid flows with triboelectric charging

Eulerian modelling of gas–solid flows with triboelectric charging

Transport coefficients for granular gases of electrically charged particles

Homogeneous cooling and heating states of dilute soft-core gases under nonlinear drag

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