The velocity distribution for a homogeneous shear flow of smooth nearly elastic disks is determined using a perturbation solution of the linearised Boltzmann equation. An expansion in the parameter εI=(1−e)1/2 is used, where e is the coefficient of restitution. In the leading order...

The growth rates of the hydrodynamic modes in the homogeneous sheared state of a granular material are determined by solving the Boltzmann equation. The steady velocity distribution is considered to be the product of the Maxwell–Boltzmann distribution and a Hermite polynomial expansion in the...

The hydrodynamic modes of a three-dimensional sheared granular flow are determined by solving the linearised Boltzmann equation. The steady state is determined using an expansion in the parameter ε=(1−e)1/2, and terms correct to O(ε4) are retained in the expansion. The distribution function...