scholarly journals Navier–Stokes transport coefficients for a model of a confined quasi-two-dimensional granular binary mixture

2021 ◽  
Vol 33 (2) ◽  
pp. 023310
Author(s):  
Vicente Garzó ◽  
Ricardo Brito ◽  
Rodrigo Soto
Keyword(s):  
Binary Mixture ◽  
Transport Coefficients ◽  
Navier Stokes ◽  
Two Dimensional ◽  
Stokes Transport

scholarly journals A numerical study of the Navier–Stokes transport coefficients for two-dimensional granular hydrodynamics

2013 ◽  
Vol 15 (4) ◽  
pp. 043044 ◽  
Author(s):  
Lidia Almazán ◽  
José A Carrillo ◽  
Clara Salueña ◽  
Vicente Garzó ◽  
Thorsten Pöschel
Keyword(s):  
Numerical Study ◽  
Transport Coefficients ◽  
Navier Stokes ◽  
Two Dimensional ◽  
Stokes Transport

scholarly journals Modified Sonine approximation for granular binary mixtures

2009 ◽  
Vol 623 ◽  
pp. 387-411 ◽  
Author(s):  
VICENTE GARZÓ ◽  
FRANCISCO VEGA REYES ◽  
JOSÉ MARÍA MONTANERO
Keyword(s):  
Transport Coefficients ◽  
Direct Simulation Monte Carlo ◽  
Boltzmann Distribution ◽  
Three Dimensions ◽  
Navier Stokes ◽  
State Distribution ◽  
New Approach ◽  
Viscosity Coefficients ◽  
Stokes Transport ◽  
Simulation Monte Carlo

We evaluate in this work the hydrodynamic transport coefficients of a granular binary mixture in d dimensions. In order to eliminate the observed disagreement (for strong dissipation) between computer simulations and previously calculated theoretical transport coefficients for a monocomponent gas, we obtain explicit expressions of the seven Navier–Stokes transport coefficients by the use of a new Sonine approach in the Chapman–Enskog (CE) theory. This new approach consists of replacing, where appropriate in the CE procedure, the Maxwell–Boltzmann distribution weight function (used in the standard first Sonine approximation) by the homogeneous cooling state distribution for each species. The rationale for doing this lies in the well-known fact that the non-Maxwellian contributions to the distribution function of the granular mixture are more important in the range of strong dissipation we are interested in. The form of the transport coefficients is quite common in both standard and modified Sonine approximations, the distinction appearing in the explicit form of the different collision frequencies associated with the transport coefficients. Additionally, we numerically solve by the direct simulation Monte Carlo method the inelastic Boltzmann equation to get the diffusion and the shear viscosity coefficients for two and three dimensions. As in the case of a monocomponent gas, the modified Sonine approximation improves the estimates of the standard one, showing again the reliability of this method at strong values of dissipation.

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