Velocity distribution and cumulants in the unsteady uniform longitudinal flow of a granular gas

DSpace/Manakin Repository

español português english

Velocity distribution and cumulants in the unsteady uniform longitudinal flow of a granular gas

Show full item record

Title: Velocity distribution and cumulants in the unsteady uniform longitudinal flow of a granular gas
Author: Astillero Vivas, Antonio; Santos Reyes, Andrés
Abstract: El flujo longitudinal uniforme se caracteriza por un campo de velocidad longitudinal uₓ lineal (x,t) = a(t)x, donde a(t) = a₀/(1+a₀t) es la velocidad de deformación, una densidad uniforme n(t)α a(t), y un uniforme granular temperatura T(t). Se presentan soluciones de simulación directa de Monte Carlo de la ecuación de Boltzmann para esferas duras inelásticas para tres (una positiva y dos negativas) valores representativos de la velocidad de deformación inicial a₀. A partir de diferentes condiciones iniciales, la evolución temporal de la velocidad de deformación reducida a* α a₀/√T, la viscosidad no newtoniana, las segunda y tercera cumulantes de velocidad, y tres funciones de distribución marginales independientes ha sido grabada. La eliminación de tiempo a favor de la reducción de la velocidad de deformación a* muestra que, después de unas pocas colisiones por partícula, diferentes estados iniciales son atraídos a las curvas "hidrodinámicas" comunes. Se observan desviaciones fuertes de propiedades maxwellianas a partir del análisis de los cumulantes y las distribuciones marginales.The uniform longitudinal flow is characterized by a linear longitudinal velocity field uₓ(x,t)=a(t)x, where a(t)=a₀/(1+a₀t) is the strain rate, a uniform density n(t)α a(t), and a uniform granular temperature T(t). Direct simulation Monte Carlo solutions of the Boltzmann equation for inelastic hard spheres are presented for three (one positive and two negative) representative values of the initial strain rate a₀. Starting from different initial conditions, the temporal evolution of the reduced strain rate a* α a₀/√T, the non-Newtonian viscosity, the second and third velocity cumulants, and three independent marginal distribution functions has been recorded. Elimination of time in favor of the reduced strain rate a* shows that, after a few collisions per particle, different initial states are attracted to common "hydrodynamic" curves. Strong deviations from Maxwellian properties are observed from the analysis of the cumulants and the marginal distributions.
Description: Publicado en: AIP Conf. Proc. 1501, 985 (2012) doi:10.1063/1.4769649 Contributed paper at the 28th International Symposium on Rarefied Gas Dynamics (Zaragoza, Spain, July 9-13, 2012); 28th International Symposium on Rarefied Gas Dynamics, 2012
URI: http://hdl.handle.net/10662/2502
Date: 2012-11


Files in this item

Files Size Format View
arxiv_1207.1656.pdf 332.7Kb PDF Thumbnail

The following license files are associated with this item:

This item appears in the following Collection(s)

Show full item record

Atribución-NoComercial-SinDerivadas 3.0 España Except where otherwise noted, this item's license is described as Atribución-NoComercial-SinDerivadas 3.0 España

Search DSpace


Browse

My Account

Statistics

Help

Redes sociales