Transport coefficients for granular media from molecular dynamics simulations

Citation
C. Bizon et al., Transport coefficients for granular media from molecular dynamics simulations, PHYS REV E, 60(4), 1999, pp. 4340-4351
Citations number
45
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063651X → ACNP
Volume
60
Issue
4
Year of publication
1999
Part
B
Pages
4340 - 4351
Database
ISI
SICI code
1063-651X(199910)60:4<4340:TCFGMF>2.0.ZU;2-Y
Abstract
Under many conditions, macroscopic grains flow like a fluid; kinetic theory predicts continuum equations of motion for this granular fluid. In order t o test: the theory, we perform event-driven molecular simulations of a two- dimensional gas of inelastic hard disks, driven by contact with a heat bath . Even for strong dissipation, high densities, and small numbers of particl es, we find that continuum theory describes the system well. With a bath th at heats the gas homogeneously, strong velocity correlations produce a slig htly smaller energy loss due to inelastic collisions than that predicted by kinetic theory. With an inhomogeneous heat bath, thermal or velocity gradi ents are induced. Determination of the resulting fluxes allows calculation of the thermal conductivity and shear viscosity, which are compared ro the predictions of granular kinetic theory, and which can be used in continuum modeling of granular flows. The sheer viscosity is close to the prediction of kinetic theory, while the thermal conductivity can be overestimated by a factor of 2; in each case, transport is lowered with increasing inelastici ty. [S1063-651X(99)03310-3].