Kinetic theory of granular shear flow: Constitutive relations for the hard-disk model |
| |
Authors: | Sang Rak Kim Leslie V Woodcock |
| |
Institution: | (1) Physics Department, Kyonggi University, 440-760 Suwon, Korea;(2) Department of Chemical Engineering, University of Bradford, BD7 1DP Bradford, West Yorkshire, UK |
| |
Abstract: | A kinetic theory for the constitutive Theological relations of rapid granular shear flow of hard circular disks, characterized by a coefficient of restitutione and a surface roughness coefficient, is formulated. From a set of general constitutive equations for single-particle dynamical variables, the approximate expressions for the limit of small and large dimensionless dissipative parameterR
t
are obtained. HereR
t
is defined as the ratio /, where is the fluctuation of translational velocity from the mean flow velocity, is the diameter of a disk, and is the shear rate. At smallR
t
the theoretical predictions can be compared with exact computer simulation results of granular dynamics that are also reported. The agreement between theory and simulation is better than expected; the present theory is accurate up to high packing density in this region ofR
t
. |
| |
Keywords: | Kinetic theory granular flow constitutive relations |
本文献已被 SpringerLink 等数据库收录! |
|